智商测试的问题:从历史争议到现代误解 veritasium 2023-08-03

智商测试的普及与核心问题

在流行文化中,“智商(IQ:Intelligence Quotient,智力商数)”这个词无处不在。

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In popular culture, the term IQ is everywhere.

人们普遍认为,智商代表着智力,是对智力能力进行客观、严谨的衡量。

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When people say IQ, what they mean is intelligence, an objective, rigorous measurement of intellectual ability.

但它真的有效吗?

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But does it actually work?

在本视频中,我们将探讨智商测试的起源、它实际衡量了什么、它能预测你生活中的哪些方面,以及我的智商究竟是多少。

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Well, in this video, I want to find out: Where IQ came from. What does it actually measure? What can it predict about your life? And I guess, what is my IQ?

我以前从未参加过正式的智商测试。

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I have never taken an official IQ test before.

说实话,我并不觉得自己特别聪明,一直认为自己的智商可能只是略高于平均水平。

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Honestly, I don't think I'm terribly smart. I've always kind of considered my IQ to be maybe just a little above average.

网上有很多智商测试,但我对它们的准确性持怀疑态度。

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There are a lot of IQ tests online, but I am very skeptical about their accuracy.

不过,我还是觉得其中一些可以作为真实测试的良好练习。

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Still, I figured some of them may be good practice for the real thing.

明天我将进行一次真正的智商测试。

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Tomorrow I'm going to do an IQ test for real.

在此之前,我想尝试提高我的分数,所以我将做一系列的练习测试。

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Before I do that, I want to try to improve my score, and so I'm going to try to do a whole bunch of practice tests.

我认为这种测试是可以训练的,但明天我们就会知道这是否属实。

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I think this test is trainable. But tomorrow we're going to see whether that's true or not.

智力测试的起源:斯皮尔曼的“g因子”

智力测试的理念可以追溯到几百年前,但第一个具体的突破发生在1904年。

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The idea of intelligence testing goes back hundreds of years, but the first concrete breakthrough occurred in 1904.

英国心理学家查尔斯·斯皮尔曼(Charles Spearman: 英国心理学家,提出了智力双因素理论)当时正在研究学生在不同学科中的成绩,他想知道学生在一门学科(如英语)中的表现与在另一门学科(如数学)中的表现之间有何关联。

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English psychologist Charles Spearman was studying students' grades in different subjects and he wondered how their performance in one subject, like English, would relate to their performance in another, like Math.

一种可能性是,学生数学成绩越好,英语成绩就越差,这可能是因为他们花更多时间在数学上,从而减少了学习英语的时间。

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One option would be that the better a student did in math, the worse they would do in English, maybe because they spent more time on their math work and so had less time to devote to English.

在这种情况下,不同学科的表现将呈负相关。

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So performance in different subjects would be negatively correlated.

另一种可能性是,一门学科的表现与另一门学科的表现完全无关。

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Another option was that performance in one subject would be completely unrelated to performance in another.

毕竟,不同学科需要不同的技能,所以分数可能完全不相关。

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After all, different subjects require different skill sets, so maybe marks would be totally uncorrelated.

第三种可能性是,学生数学成绩越好,英语成绩也越好。

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The third option was that the better a student did in math, the better they would do in English.

换句话说,他们的分数将呈正相关。

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In other words, their marks would be positively correlated.

相关系数(correlation coefficient: 衡量两个变量之间线性关系强弱和方向的统计指标)可以在负一到正一之间变化。

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A correlation coefficient can vary anywhere from negative one to positive one.

相关系数为负一表示完美的负相关,意味着一个变量的增加对应着另一个变量精确、可预测的减少。

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A correlation coefficient of negative one indicates a perfect negative correlation, meaning an increase in one variable corresponds to a precise, predictable decrease in the other variable.

同样,相关系数为正一表示完美的正相关。

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Similarly, a correlation of positive one indicates a perfect positive correlation.

相关系数为零表示两个变量之间没有关系。

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A correlation of zero indicates no relationship between the two variables.

任何介于零和一之间的值表示正相关,但数据存在一些随机分散。

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And any value between zero and one indicates a positive correlation, but the data has some random spread.

相关系数的平方表示一个变量中可以由另一个变量的变化解释的变异量。

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The square of the correlation coefficient tells you the amount of variation in one variable that can be explained by variation in the other variable.

例如,如果相关系数为0.5,那么一个变量中25%的变异可以由另一个变量解释。

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For example, if the correlation coefficient is 0.5, then 25% of the variation in one variable can be explained by the other.

当斯皮尔曼分析他的数据时,他发现了一个明显的正相关。

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When Spearman analyzed his data, he found a clear positive correlation.

数学成绩好的学生在英语方面也往往表现更好,相关系数为0.64。

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Students who did better in math also tended to do better in English, and the correlation coefficient was 0.64.

但数学和英语并不是学生们学习的唯一科目。

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But Math and English weren't the only subjects the students studied.

他们还学习了古典文学和法语。

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They also took Classics and French.

当斯皮尔曼查看所有这些科目之间的相关性时,他发现了相同的模式。

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And when Spearman looked at the correlations between all of these subjects, he found the same pattern.

在一门科目中表现好的学生,往往在所有科目中都表现出色。

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Students who did well in one subject tended to do well in them all.

那么,如何解释这一观察结果呢?

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So how do you explain this observation?

斯皮尔曼提出,每个人都具有某种程度的一般智力(general intelligence),他称之为“g因子”(g-factor: 查尔斯·斯皮尔曼提出的一种假设性心理结构,代表了所有认知任务中共享的基础智力能力)。

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Well, Spearman proposed that each person has some level of general intelligence, what he called the g-factor.

这个概念旨在捕捉学生学习新材料、识别模式和批判性思考的速度,而无论具体学科如何,这解释了为什么学生在不同科目中的分数是相关的。

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This construct was meant to capture how quickly students could learn new material, recognize patterns, and think critically regardless of the subject matter, which explains why students' scores across subjects are correlated.

那些g因子高的人在所有科目中都得分高,而g因子低的人在所有科目中都得分差。

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Those with high g, score well on all subjects and those with low g, score poorly on all subjects.

斯皮尔曼将他的结论发表在一篇题为《客观确定和测量的一般智力》的论文中。

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Spearman published his conclusions in a paper titled "General Intelligence" Objectively Determined and Measured.

但相关性并非完美。

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But the correlations weren't perfect.

因此,除了g因子,斯皮尔曼还提出了特定学科因素,即“s因子”(s-factors: 斯皮尔曼提出的特定智力因素,与g因子相对,代表了在特定任务或学科中所需的独特能力)。

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So on top of the g-factor, Spearman proposed subject-specific factors, or s-factors.

例如,学生在数学方面的表现将取决于他们的一般智力加上他们对数学的特定学科因素。

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A student's performance in math, for example, would depend on their general intelligence plus their subject specific factor for math.

特定学科因素可以提高或降低在该特定科目上的表现。

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Subject specific factors could increase or decrease performance on that particular subject.

斯皮尔曼认为特定因素可以通过训练来提高,但一般智力是固定的。

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Spearman believed that specific factors could be trained but general intelligence was fixed.

因此,他希望找到一种可靠测量一般智力的方法。

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So he wanted to find a way to reliably measure general intelligence.

比奈-西蒙测试与智商的诞生

大约在同一时间,法国的阿尔弗雷德·比奈(Alfred Binet: 法国心理学家,智力测试的先驱)受命找出哪些孩子在学校需要更多帮助。

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At around the same time in France, Alfred Binet was tasked with figuring out which kids needed more help in school.

他与西奥多·西蒙(Theodore Simon: 法国心理学家,与比奈共同开发了比奈-西蒙智力测试)合作,开发了比奈-西蒙测试(Binet-Simon test: 世界上第一个实用的智力测试,旨在识别需要特殊教育的儿童)。

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Together with Theodore Simon, he developed the Benet-Simon test.

学生们被要求说出图画中缺少的东西、定义抽象术语并重复句子。

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Students were asked to name what's missing in the drawing, define abstract terms, and repeat back sentences.

还有一个问题是问哪张脸最漂亮。

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And there was also this question asking which face is prettiest.

总共有30项任务。

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There were 30 tasks in all.

他们的表现与不同年龄的其他学生进行基准比较,以确定他们的心理年龄(mental age: 智力测试中,一个人的智力水平相当于普通儿童的平均年龄)。

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Their performance was benchmarked against other students of different ages in order to assign them a mental age.

例如,如果一个学生的表现与平均八岁儿童的表现差不多,那么他们的心理年龄就是八岁。

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For example, if a student performed about as well as the average eight year old, their mental age would be eight.

然后将这个心理年龄除以他们的实际年龄,再乘以一百,就得到了所谓的智商,智商由此诞生。

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This mental age was then divided by their actual age and multiplied by a hundred to arrive at a so-called intelligence quotient, and IQ was born.

所以,比奈-西蒙测试是世界上第一个智商测试。

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So the Binet-Simon test was the world's first IQ test.

它被亨利·戈达德(Henry Goddard: 美国心理学家,将比奈-西蒙测试引入美国并推广其应用)翻译成英文并带到美国。

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It was translated by Goddard into English and brought to the U.S.

在斯坦福大学,刘易斯·特曼(Lewis Terman: 美国心理学家,修订了比奈-西蒙测试并将其标准化为斯坦福-比奈测试)使用大量的美国样本对其进行了标准化,并经过一些修改,它成为了斯坦福-比奈测试(Stanford-Binet test: 比奈-西蒙测试的美国修订版,是美国使用最广泛的智力测试之一)。

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At Stanford, Lewis Terman standardized it using a large American sample, and with some modifications it became the Stanford-Binet test, and for decades it was the most widely used test in the United States.

几十年来,它一直是美国使用最广泛的测试。

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and for decades it was the most widely used test in the United States.

但这仅仅是个开始。

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But this was just the start.

许多其他智商测试也相继开发出来,它们都有着相同的目标:测量g因子。

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Many other IQ tests were developed and they all had the same goal of measuring the g-factor.

它们通过评估许多不同的心智能力来实现这一点,包括记忆、语言、空间和数字技能。

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The way they did this was by assessing many different mental abilities, including memory, verbal, spatial, and numerical skills.

这些领域中的每一个都可能存在特定学科的偏差。

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Each one of these areas might have a subject-specific shift.

但通过将它们全部平均起来,其理念是特定学科的影响会相互抵消,从而得到一个对g因子的良好近似值。

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But by averaging them all together, the idea was the subject-specific effects would cancel out, leaving a decent approximation of g.

当然,总会有一些误差。

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Of course, there would always be some error.

但这就是为什么心理学家设计智商测试时,会有七到十个不同的任务部分,以尽量减少特定学科的扭曲。

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But that's why psychologists designed IQ tests with upwards of seven to 10 sections with distinct tasks to try to minimize subject-specific distortions.

所有不同的智商测试在问题数量和难度上都有所不同。

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All the different IQ tests differed in the number of questions and their difficulty.

为了标准化评分系统,每个测试都对大量人口样本进行。

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So to standardize the scoring system, each test was given to a large sample of the population.

原始分数经过标准化处理,通常使平均值为一百,标准差为15,这种做法一直沿用至今。

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Raw scores were normalized, usually so the mean was a hundred and the standard deviation was 15, and that's how it's still done to this day.

这就是智商,它旨在衡量一个人相对于其他人口的g因子。

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This is known as IQ, and it's meant to be a measure of an individual's g-factor in comparison to the rest of the population.

按照这种量表,68%的人智商在85到115之间。

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The way it's scaled, 68% of people have an IQ between 85 and 115.

只有大约2%的人得分超过130或低于70。

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Only around 2% score over 130 or under 70.

现代智商测试的题型与练习

在我为智商测试做准备时,我练习了现代测试中出现的所有不同类型的问题。

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As I was studying for my IQ test, I practiced all the different types of questions that appear on modern tests.

其中一个部分几乎肯定是词汇。

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One section will almost certainly be on vocabulary.

他们会给你一个词,比如“sanguine”(乐观的),你必须从多项选择中选出意义最相似的选项。

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They give you one word like sanguine, and you have to pick which of the multiple choice options is most similar in meaning.

是“gloomy”(阴郁的)、“asinine”(愚蠢的)、“recalcitrant”(顽抗的)、“optimistic”(乐观的)还是“reflective”(沉思的)?

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Is it gloomy, asinine, recalcitrant, optimistic, or reflective?

他们也可能会让你选择一个意思相反的词。

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They might also ask you to pick a word with the opposite meaning.

那么,“perspicacious”(有洞察力的)的反义词是什么?

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So what is the opposite of perspicacious?

是“canny”(精明的)、“obsequious”(谄媚的)、“dull”(迟钝的)、“fanciful”(异想天开的)还是“sagacious”(睿智的)?

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Is it canny, obsequious, dull, fanciful, or sagacious?

另一个部分测试你发现数字模式的能力。

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Another section tests your ability to spot patterns with numbers.

所以,选择最能完成模式的数字:3、5、8、12。

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So pick the number that best completes the pattern. 3, 5, 8, 12.

接下来是什么?

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What comes next?

最初,我寻找复杂的模式,但随着我熟悉了在线测试,我发现模式通常非常简单。

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Originally, I was looking for complicated patterns, but as I familiarized myself with the online tests, I discovered the patterns were usually pretty simple.

一个好的技巧是找出相邻项之间的差值。

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A good technique is to find the difference between adjacent terms.

在这种情况下,前两项相差二,接下来相差三,然后是四。

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So in this case, the first two terms are separated by two, the next by three, and then four.

所以下一个合乎逻辑的项应该是12加五,即17。

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So the logical next term should be five more than 12, so 17.

答案是C。

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The answer is C.

有时数字增长很快,比如序列3、15、60、180。

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Sometimes the numbers grow rapidly, like in the sequence three, 15, 60, 180.

接下来是什么?

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What comes next?

在这种情况下,我查看一个数字与前一个数字的比率。

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In cases like this, I look at the ratio of one number to the one before it.

在这种情况下,第二个数字是第一个数字的五倍。

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In this case, the second number is five times the first.

下一个数字是四倍大,再下一个是三倍大。

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The next number is four times bigger, and the next one is three times larger.

所以答案应该是第四项的两倍,即360,答案B。

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So the answer should be two times the fourth term, which is 360, answer B.

最著名的智商测试题型之一是瑞文推理测验(Raven's progressive matrices: 一种非语言智力测试,通过图形模式识别来评估抽象推理能力)。

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One of the best known types of IQ test questions are Raven's progressive matrices.

这些题目涉及一个三乘三的网格,每个单元格中都有符号,你必须选择遵循模式的第九个单元格。

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These involve a three by three grid with symbols in each of the cells, and you have to select the ninth cell which follows the pattern.

我发现这些谜题大部分只遵循少数几种不同的逻辑规则。

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I found that the bulk of these puzzles obey one of only a few different logical rules.

一种是平移运动,即符号以可预测的方式从一个单元格移动到下一个单元格。

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One is translational motion. So the symbols move from one cell to the next in a predictable fashion.

第二种是旋转运动,一个或几个物体从一个单元格旋转到下一个单元格。

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The second is rotational motion. One or several objects rotate from one cell to the next.

第三种是缺失符号,在每一行或每一列中,每个符号出现一次。

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The third is missing symbols, where in each row or column each symbol appears once.

所以要找出最终单元格中出现的符号,你只需找出哪些符号缺失了。

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So to figure out which symbols appear in the final cell, you just have to spot which ones are missing.

第四种是加法,即第一个单元格加上第二个单元格等于第三个单元格。

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And the fourth is addition, where the first cell plus the second cell equals the third cell.

在这种情况下,重叠的线条会抵消,但一条线加上什么都没有等于一条线。

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In this case, lines that overlap cancel out, but a line plus nothing equals a line.

在大多数现代智商测试中,所有问题都在时间压力下完成。

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In most modern IQ tests, all the questions are completed under time pressure.

你可能每道题只有大约10到30秒的时间。

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You may have only around 10 to 30 seconds per question.

智商的预测能力:从学业到寿命

智商测试的非凡之处在于,一两个小时的词汇、数字和任意形状问题,可以预测你生活中令人惊讶的许多方面。

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What's remarkable about IQ tests is that an hour or two of questions on vocabulary, numbers, and arbitrary shapes can predict a surprising amount about your life.

首先,你的智商越高,你的大脑可能就越大。

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For one thing, the higher your IQ, the larger your brain is likely to be.

2005年的一项大型元分析(meta-analysis: 一种统计学方法,用于综合分析多项独立研究的结果,以得出更全面、更可靠的结论)估计,智商与脑容量之间的相关系数为0.33。

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A large meta-analysis from 2005 estimated a correlation of 0.33 between IQ and brain size.

所以高智商确实意味着“大脑袋”。

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So high IQ is literally big brain.

智商也能预测学业成功。

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IQ is also predictive of school success.

2007年,苏格兰精神病学家伊恩·迪里(Ian Deary: 苏格兰精神病学家,以其在智力研究和寿命相关性方面的贡献而闻名)测量了13000名11岁儿童的智商。

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In 2007, Scottish psychiatrist Ian Deary measured the IQs of 13,000 11 year-olds.

五年后,当这些学生完成全国学校考试时,迪里将他们的考试成绩与智商进行了比较。

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And five years later, when these students completed national school examinations, Deary compared their exam marks to their IQs.

David: 他们11岁时在智商测试中的表现与五年后在GCSE(普通中等教育证书)考试中的表现相关系数约为0.8。这是一个极高的相关性。

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- Their performance on an IQ test when they were 11 correlated with their performance five years later on the GCSEs, about 0.8. That's an extremely high correlation.

这意味着全国学校考试成绩中大约三分之二的变异可以通过五年前进行的智商测试来预测。

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- It means about two thirds of the variation in national school examination scores could be predicted by IQ tests taken five years prior.

这项研究的相关系数处于类似研究中0.2到0.8范围的上限。

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Now, the correlation coefficient of this study is at the high end of the 0.2 to 0.8 range found in similar studies.

但研究支持智商是学业成功的良好预测指标这一说法。

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But research supports the claim that IQ is a good predictor of school success.

它还能预测一个人将完成多少学业。

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It also predicts how much schooling a person will complete.

这也许不应该太令人惊讶,因为一些学校考试本质上就是智商测试。

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Maybe this shouldn't be so surprising since some school tests are essentially IQ tests.

有人认为像SAT(Scholastic Assessment Test: 美国大学入学标准化考试)、ACT(American College Testing: 另一项美国大学入学标准化考试)和GRE(Graduate Record Examinations: 研究生入学考试)这样的考试基本上就是智商测试。

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It's been argued that tests like the SAT, ACT, and the GRE are basically IQ tests.

它们与标准智商测试的相关系数约为0.8。

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They correlate with standard IQ tests at around 0.8.

我的SAT成绩是1330分,这相当于大约130的智商。

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Now, on my SATs I got a score of 1,330, which of corresponds to an IQ of around 130.

所以看看我的官方智商分数是否与此匹配,或者我是否通过熟悉智商式问题提高了分数,这将很有趣。

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So it'll be interesting to see if my official IQ score matches that, or if I was able to increase my score by familiarizing myself with IQ-style questions.

我不知道。

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I don't know.

但智商在学校之外也具有预测能力。

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But IQ also has predictive power outside of school.

最可靠的发现之一是智商可以预测工作成功。

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One of the most robust findings is that IQ can predict job success.

David: 特别是在技术性或高复杂性工作中。

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- Particularly in technical or high complexity jobs.

如何衡量职业成功?

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- How do you measure occupational success?

David: 你可以要求人们的老板对他们进行评价。你可以询问人们的收入。你可以用经济学家衡量产出的方式来衡量生产力。

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- You ask people's bosses to rate them. You ask what people's income is. You measure productivity in ways that economists use about the output generated.

相关系数通常在0.2到0.6之间,这种效应在更复杂的工作中最为显著,这是有道理的。

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The correlations typically range from 0.2 to 0.6, and the effect is most notable for more complex jobs, which makes sense.

最高的影响是在军事训练中。

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The highest effect is for military training.

事实上,美国军方不接受智商低于80的人。

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In fact, the U.S. military will not accept anyone with an IQ under 80.

他们还将智商在81到92之间的新兵数量限制在20%。

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They also limit to 20% the number of recruits with IQs between 81 and 92.

在越南战争期间,为了增加申请人数,他们放宽了最后一项要求。

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During the Vietnam war, in order to increase the pool of applicants, they relaxed this last requirement.

但他们发现,那些低于门槛的人失败新兵训练的可能性是1.5到3倍,并且需要3到9倍的补习训练。

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But what they found was that those below the threshold were 1.5 to three times as likely to fail recruit training, and they required between three to nine times as much remedial training.

总的来说,这增加了如此大的压力,以至于没有这些额外的新兵,军队的运作效率反而更高。

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Taken together, this added so much strain that the military ran more efficiently without the extra recruits.

总共有5478名在此倡议下招募的人员死亡,死亡率是普通新兵的三倍。

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In total, 5,478 people recruited under this initiative died at a fatality rate three times higher than ordinary recruits.

因此,军方恢复了他们的要求,如今任何智商低于80的人,即大约3000万美国人,都将没有资格参军。

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So the military reinstated their requirements, and today anyone with an IQ less than 80, that is about 30 million Americans, would be ineligible to join the military.

即使在军队之外,智商似乎也与你的寿命长短有关。

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Even outside the military, IQ seems to play a role in how long you live.

在苏格兰的一项研究中,科学家们发现了孩子们11岁时的智商测试记录。

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In a Scottish study, scientists uncovered IQ tests from kids when they were 11 years old.

65年后,他们检查了样本中谁在76岁时仍然健在。

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Now 65 years later, they check to see who from the sample was still alive at age 76.

他们发现,平均而言,智商测试每增加15分,你到76岁时仍然健在的可能性就会增加27%。

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And they found that on average, for every 15 point increase on the IQ test, you would be 27% more likely to still be alive at age 76.

一项大型元分析证实,智商较高的人在每项研究调查的时间范围内死亡的风险较低。

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A large meta-analysis confirms that people with higher IQs have a lower risk of dying during the timeframe investigated in each study.

智商似乎能预测的最后一项主要事情是收入。

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The last major thing that IQ seems to predict is income.

这项研究显示,收入与智商之间存在明显的正相关趋势,相关系数为0.3。

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This study shows a clear tendency for income to increase with IQ, and it found a correlation coefficient of 0.3.

但方差巨大。

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But the variance is huge.

事实上,这项研究中收入最高的三个人智商都低于100。

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In fact, the top three earners in this study all had IQs below 100.

一项对31项研究进行的大型元分析发现,智商与收入之间的相关系数为0.21。

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A large meta-analysis of 31 studies found the correlation between IQ and income to be 0.21.

这虽然显著但很小。

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That is significant but small.

这意味着只有4.4%的收入差异可以由智商来解释。

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It means that only 4.4% of the variance in income is explained by IQ.

也许我们没有看到收入与智商之间更高相关性的原因之一是,从经济角度来看,智力不一定能得到那么高的回报。

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Maybe one of the reasons why we don't see as high a correlation for income is just because economically intelligence is not necessarily that highly rewarded,

例如,有些工作,比如房地产类型的计划,可能不需要太高的智力。

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in that maybe there are jobs, like just doing a real estate-type scheme, maybe that doesn't require a huge amount of intelligence.

同时,有很多非常聪明的人可能成为大学教授,但这不一定能带来很高的收入。

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Simultaneously, you have all these very highly intelligent people who maybe become college professors, but that doesn't necessarily pay very well.

David: 是的。

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- Yeah.

David: 很多智力分数很高的人对积累财富没有同样的兴趣。

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- A lot of people who have very high intelligence scores don't have the same interest in accumulating money.

与净资产的关系甚至更弱。

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The relationship with net worth is even weaker.

它几乎与智商不相关,尽管智商较高的人理应更聪明,并且平均每年赚更多钱。

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It hardly seems to correlate with IQ, even though people with higher IQs are supposedly more intelligent and on average they make more money each year.

但这似乎并没有转化为整体上更多的储蓄或财富积累。

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But this apparently doesn't translate into saving or accumulating more wealth overall.

智商测试的黑暗历史与争议

但如果智商与学业成就、工作表现、收入和寿命相关,为什么我们听到的不多呢?

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But if IQ correlates with school achievement, job performance, income, and longevity, why don't we hear more about it?

为什么没有更多人接受测试?

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Why aren't more people tested?

我认为这是因为智商有着一段黑暗的历史。

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I think it's because IQ has a dark history.

当亨利·戈达德将比奈的测试带到美国时,其使用和解释发生了巨大转变。

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When Henry Goddard brought Binet's test to America, its use and interpretation shifted dramatically.

在法国,比奈相信智力可以通过教育得到提高。

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In France, Binet believed intelligence could be improved through education.

他设计测试是为了让那些学习困难的学生能得到更多帮助以赶上进度。

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He designed his tests so that struggling students could be given more help to catch up.

但在美国,修改后的测试被用于对成年人进行智力排名。

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But in the U.S., the modified test was given to adults to rank them by intelligence.

斯皮尔曼等研究人员认为g因子是不可改变的,你出生时拥有的一般智力将伴随你一生。

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And researchers like Spearman believed that g was unchangeable, that whatever general intelligence you were born with you would have for the rest of your life.

许多人认为g因子是遗传的,从父母传给子女。

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And many thought g was inherited, passed down from parents to children.

如今我们会说它有遗传基础。

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These days we would say it has a genetic basis.

有一些证据支持这些主张。

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There is some evidence to support these assertions.

智商在人的一生中似乎相当稳定。

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IQ appears fairly consistent over one's lifetime.

David: 他们在人们11岁时进行了测试。

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- So they had tests done when people were 11 years old.

David: 他们在一个文件柜里找到了所有这些测试,并追踪了这些人,在他们90岁时,也就是很久很久以后,对他们进行了相同的测试。

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They found all those tests in a filing cabinet and followed those people up and gave them the same test when they were 90 years old, much, much later.

他们相隔80年的分数相关系数约为0.5到0.6。

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- Their scores 80 years apart were correlated at around 0.5 to 0.6.

也有智商具有遗传基础的证据。

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There's also evidence for a genetic basis to IQ.

David: 例如,你会发现,如果你找来一对同卵双胞胎并对他们进行智商测试,他们的相关性非常强。

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- You find, for instance, that if you get two identical twins and give them an IQ test, they have a very strong correlation.

David: 实际上,这与同一个人在几周内进行测试的相关性差不多。

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It's actually about the same as giving the same person the test a few weeks apart.

亨利·戈达德利用智力是遗传且不可改变的说法,将智商置于美国优生学(eugenics: 一种社会哲学,主张通过选择性繁殖来改善人类的遗传品质)运动的中心。

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Henry Goddard used the claims that intelligence was inherited and unchangeable to put IQ at the center of the American eugenics movement.

优生学家希望阻止那些具有不良特质的人生育。

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Eugenicists wanted to prevent those with undesirable traits from having kids.

在许多州,通过了法律,允许对未能达到智商测试特定门槛的人进行强制绝育。

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In many states, laws were passed to enable forced sterilization of people who failed to meet a certain threshold on an IQ test.

这些法律的合宪性于1927年得到了最高法院的确认。

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The constitutionality of these laws was upheld by the Supreme Court in 1927.

David: 甚至我们现在用作侮辱的词语,如“moron”(笨蛋)、“idiot”(白痴)、“imbecile”(低能儿),都被用作科学术语。

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- Even words that we now use as in insults, moron, idiot, imbecile, were used as scientific terms.

奥利弗·温德尔·霍姆斯(Oliver Wendell Holmes: 美国最高法院大法官,以其在宪法解释和法律哲学方面的贡献而闻名)大法官在他的判决中写道:“如果社会能够阻止那些明显不适合生育的人继续繁衍,而不是等待对犯罪的退化后代执行死刑,或者让他们因愚蠢而饿死,那么对全世界来说都更好。三代低能儿已经足够了。”

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In his judgment, Justice Oliver Wendell Holmes wrote, "It is better for all the world if instead of waiting to execute degenerate offspring for crime, or to let them starve for their imbecility, society can prevent those who are manifestly unfit from continuing their kind. Three generations of imbeciles are enough."

总共有超过6万人因这些法律而被强制绝育。

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In total, over 60,000 people were forcibly sterilized as a result of these laws.

事实上,它们成为了纳粹德国的范本。

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In fact, they served as a model for Nazi Germany.

希特勒本人声称受到美国优生学家的启发。

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Hitler himself claimed to be inspired by American eugenicists.

David: 这些在过去曾被用于可怕的事情。

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- These have been used for horrific things in the past.

战后的纽伦堡审判中,一些纳粹分子引用了美国最高法院的判决。

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At the Nuremberg trials after the war, some Nazis quoted from the American Supreme Court decision.

鉴于这段可怕的历史,我认为许多人今天完全不理会智商测试是可以理解的。

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Given this awful history, I think it's understandable that many people completely disregard IQ today.

对智力科学的重新审视:误区与新认知

在智力科学方面,早期研究人员犯了一些错误。

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On the science of intelligence, there are a number of things those early researchers got wrong.

其中之一是智商并非完全由基因决定。

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One is that IQ is not entirely determined by genetics.

你能否量化基因与环境的影响?

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Can you quantify the effects of genetics versus environment?

David: 当你查看双生子研究时,平均而言,在整个生命周期中,遗传性和环境的影响大约是50/50。

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- When you look at twin studies, on average, across the whole lifespan, it's about 50/50 to heritability and environment.

出于伦理原因,你根本无法在人类身上以合理的确定性或准确性来估计它。

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You simply can't, for ethical reasons, estimate it in humans with a reasonable degree of certainty or accuracy.

根据我对文献的阅读,这是一个相当宽泛的范围,可能在40%到70%之间。

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Given my reading of that literature, it's a pretty broad range, probably somewhere between 40% and 70%.

好的。

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- Okay.

由于教育可以提高智商,它并非在一生中完全固定不变。

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And since education can improve IQ, it is not completely fixed over a lifetime.

此外,智力可能不是最初想象的单一结构。

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Plus, intelligence might not be a single construct as initially imagined.

如今,科学家们认识到两种形式的智力:流体智力(fluid intelligence: 解决新问题、学习新事物的能力,不依赖于先前获得的知识)和晶体智力(crystallized intelligence: 随着经验和学习积累的知识和技能)。

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These days, scientists recognize two forms of intelligence, fluid and crystallized.

流体智力是你学习、处理信息和解决新问题的能力。

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Fluid intelligence is your ability to learn, process information, and solve novel problems.

而晶体智力则涉及你一生中积累的知识。

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Whereas crystallized intelligence involves the knowledge you've accumulated over your lifetime.

两种智力在童年时期都会增长,但流体智力在成年早期达到顶峰,然后下降。

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Both types of intelligence increase throughout childhood, but fluid intelligence peaks in early adulthood and then declines.

而晶体智力则保持更稳定。

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Whereas crystallized intelligence remains more stable.

但智商被进一步滥用,以宣扬智力上的种族差异。

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But IQ has been further misused to promote the idea of racial differences in intelligence.

例如,黑人和白人美国人的平均智商之间存在观察到的差距。

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There is, for example, an observed gap between the average IQ of black and white Americans.

也有关于世界各国智商的文章发表。

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Articles have also been published on the IQs of different nations around the world.

其中许多国家的平均智商据称低于70。

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Many of these nations are purported to have average IQs below 70.

那是智力障碍的临界值。

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That's the cutoff for intellectual disability.

这怎么可能呢?

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How could this be?

一些人得出的结论是,不同种族或国家之间存在智力上的遗传差异。

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The conclusion that some draw is that there are genetic differences between races or nations in intelligence.

但我认为这是对数据的严重歪曲。

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But I think that's a gross misrepresentation of the data.

我认为问题在于智商测试不一定能衡量你认为它们正在衡量的内容。

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The problem, I'd argue, is that IQ tests don't necessarily measure what you think they're measuring.

证据是,有一组白人美国人的代表性样本,他们的平均智商是70。

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And the proof is that there's a representative sample of white Americans whose average IQ is 70.

这些人是谁?

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Who are these people?

只是大约一百年前的普通美国人。

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Just ordinary Americans who lived around a hundred years ago.

研究员詹姆斯·弗林(James Flynn: 新西兰政治科学家和智力研究者,以其对弗林效应的发现而闻名)研究了过去一个世纪智商测试的平均结果。

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Researcher James Flynn studied the average results of IQ tests over the past century,

每隔一段时间,测试就会更新并重新标准化,以使其平均值保持在一百。

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and every so often, the tests get updated and re-normalized to keep their average at a hundred.

弗林注意到的是,每次重新标准化时,分数都必须向下调整一点,每十年大约下降两到三点智商。

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Now, what Flynn noticed was that each time they got re-normalized, the scores had to be shifted down a bit more by about two or three IQ points per decade.

如果他们不这样做,我们就会看到过去一百年来,整个人口的平均智商以稳定的速度增长,总共增加了大约30点。

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And if they didn't do this, what we would see is that the average IQ of the whole population was increasing at a steady rate for the last a 100 years, adding up to around a 30 point increase.

这被称为“弗林效应”(Flynn Effect: 指在20世纪,许多国家人口的平均智商分数在持续上升的现象)。

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This is known as the Flynn Effect.

David: 我们的直系祖先是否处于智力迟钝的边缘?因为70通常是智力迟钝的分数。

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- Were our immediate ancestors on the verge of mental retardation? Because 70 is normally the score for mental retardation.

David: 或者我们都快成为天才了?因为130是天才的界限。

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Or are we on the verge of all being gifted? Because 130 is the cutting line for giftedness.

过去一百年人口的遗传基因并没有真正改变。

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Now the genetics of the population haven't really changed over a hundred years.

那么,是什么导致了这种增长呢?

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So what caused the increase?

关于真正的原因存在一些争议,但其中之一可能是儿童营养和健康的改善。

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Well, there is some debate about the true causes, but one of them is probably improving childhood nutrition and health.

David: 你知道,身高在那段时间也增加了。人们变得越来越高。

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- You know, height also increased across that time period. People got taller, and taller, and taller.

另一个原因是更好的教育。

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Another cause is better education.

David: 有大量证据表明,学校让你变得更聪明。

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- There's lots of evidence that school makes you more intelligent.

如果你有更多的知识,你就会更擅长解决问题。

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You become better at problem solving if you have more knowledge.

因为如果你有更多事物可以进行联想,你就更容易建立联想。

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Because it's easier for you to make associations if you have more things to make the associations with.

第三个被提出的原因是大多数人工作类型的转变,从一百年前主要是体力劳动,到现在更多的是抽象思维。

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A third proposed cause is a shift in the types of work that most people do, from mostly manual labor a hundred years ago, to much more abstract thinking these days.

这种转变可能使我们更擅长回答智商测试中提出的问题。

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And that shift may have made us better at answering the types of questions that are asked on IQ tests.

关键是智商测试似乎客观地衡量智力,但它们并非如此。

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The point is that IQ tests appear to objectively measure intelligence, but they don't.

即使在同一个国家,仅仅因为时间间隔,文化变化也会影响智商测试的平均分数。

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Even in the same country, separated only by time, cultural changes can affect the average scores on IQ tests.

那么,我们为什么不应该期望同时期不同群体之间的文化差异也会产生同样的影响呢?

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So why shouldn't we expect cultural differences between groups at the same time to have the same effect?

有些测试甚至自称“文化公平”(culture fair),这意味着这些问题对所有文化都同样有效。

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Some tests go so far as to label themselves culture fair, meaning the questions should be equally valid for all cultures.

但事实是,构建这样的测试是不可能的。

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But the truth is it's impossible to construct such a test.

David: 不。我的意思是,那只是一个标题,对吧?那只是一个营销术语。

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- No. I mean, that's just a title, right? That's just a marketing term.

David: 我不认为存在完全文化无关或文化公平的测试。

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I don't think there is such a thing as a completely culture free or culture fair test.

文化公平测试评估视觉关系、几何形状和模式,却忽略了文化在例如是否有形状或空间关系词汇方面的差异。

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Culture fair tests assess visual relations, geometric shapes and patterns, ignoring the fact that cultures differ in, for example, whether they have words for shapes or spatial relations.

这些差异影响人们思考和使用类别的方式。

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These differences influence how people think about and use categories.

没有印刷材料的文化是否以我们相同的方式感知它们,这也是值得商榷的。

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It's also debatable whether cultures without printed materials even perceive them in the same way that we do.

文化公平测试不评估的是民族植物学知识,或者训练狗狩猎,或者独自在雨林中生存的能力。

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What culture fair tests don't assess is ethnobotanical knowledge, or training dogs to hunt, or surviving alone in the rainforest.

可以说,这些形式的智力对于生存比知道序列中的下一个数字更重要。

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Arguably, these forms of intelligence are more important for survival than knowing, say the next number in the sequence.

但由于它们在我们的文化中不那么常见,而且我们没有很好的衡量方法,我们便将智商谜题视为量化智力的决定性方式。

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But since they're less common in our culture and we don't have good ways of measuring them, we see IQ puzzles as the definitive way to quantify intelligence.

而这些测试的制定者也同意这一点。

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And the people who make these tests agree.

一个为特定人群验证的测试,要在非常不同的人群中使用,需要满足严格的要求。

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There are stringent requirements before a test validated for one population can be used with a very different population.

即使在智商试图评估的有限智力形式中,除了g因子之外,还有其他因素会影响最终的智商,比如动机。

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Even in the limited forms of intelligence that IQ attempts to assess, there are factors other than g which affect the final IQ, like motivation.

一个人被激励完成测试的程度,会对其分数产生显著影响。

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How much someone is incentivized to complete the test can have a marked impact on their score.

许多研究尝试通过支付报酬来让受试者完成智商测试。

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Many studies have tried paying subjects to complete an IQ test.

在一些研究中,他们只提供少量报酬,比如大约一美元。

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In some studies, they're offered a little, say around a dollar.

其他研究提供1到10美元之间。

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Other studies offer between $1 and $10.

而那些真正大手笔的则提供超过10美元。

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And the real high rollers offer more than $10.

一项大型元分析表明,以这种方式激励人们可以提高智商。

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A large meta-analysis showed that motivating people in this way increased IQ.

而且金额越大,平均增幅越大。

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And the larger the dollar amount, the greater the average increase.

在高端,智商最高可提高20分。

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At the high end, IQ increased by up to 20 points.

这种效应对于智商低于平均水平的人最为显著。

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The effect is largest for those with below average IQs.

所以除了g因子,智商测试还衡量动机。

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So in addition to g, IQ tests also measure motivation.

但这还不止于此。

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But it doesn't stop there.

智商测试的训练和辅导可以将分数提高多达八分。

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Training and coaching for an IQ test can boost scores by up to eight points.

我刚刚在某个随机通知中完成了测试。

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I just completed the test in some random notice.

测试策略也很重要。

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Test taking strategy is also important.

有些人就是比其他人更擅长在时间压力下进行测试。

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Some people are just better at taking tests under time pressure than others.

我认为测试中最难的部分是时间限制。

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I think the hardest thing about the test was the time limits.

寻找一系列形状中的模式,我的意思是,这通常需要我一些时间,所以我感觉我没有完成那些题目。

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Looking for the patterns in a series of shapes, I mean, it just normally takes me a little while, and so I feel like I didn't finish those.

你必须知道何时跳过问题,如何排除明显错误的答案,以及何时猜测。

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You have to know when to skip questions, how to eliminate clearly wrong answers, and when to guess.

焦虑也起作用。

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Anxiety also plays a role.

显然,少量的焦虑是有益的,但超过一定程度,它会对表现产生负面影响。

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Apparently a small amount of anxiety is good, but past a certain point, it negatively impacts performance.

总的来说,我认为我做得还不错,而且我认为训练确实非常有帮助。

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I guess the overall review is, I think I did okay, and I think the training actually really, really helped.

这是我的预测。

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That's my prediction.

让我们快进到未来,看看我实际表现如何。

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Let us fast forward to the future and see how I actually did.

我实际上从我参加的智商测试的作者那里得到了结果。

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I actually got my results from the author of the IQ test I took.

David: 这些是三个领域,三个特定领域。

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- Those are three areas, three specific areas.

对于数学和数字部分,我觉得我非常自信,在时间结束前就完成了,然后我可以回去检查一些东西。

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For the math one, for the numbers ones, I think that's where I felt really comfortable, and got there before the time was done and then I could go back and look at a few things.

David: 是的。

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- Yes.

David: 你在定量方面表现出色。

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You blew the roof off the quantitative one.

David: 在定量方面,分数是143。

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On the quantitative, it was 143.

David: 而在晶体智力指数方面,是132。

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Whereas on the crystallized intelligence index, it was 132.

David: 流体智力指数是118。

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The fluid intelligence index was 118.

嗯。

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- Hmm.

David: 这仍然高于88.5%的人。

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- Which still is a higher score than 88.5%.

还不错。

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- It's not, bad.

但有趣的是,那个分数明显更低,我想。

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But it's interesting that that one is significantly lower, I guess.

David: 这种差异并不罕见。

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- And that's not an unusual difference.

David: 围绕着g因子这个概念,人们有自己的长处和短处。

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Around that concept of g, people have strengths and weaknesses.

David: 如果我们来看你在这套测试中对g因子的最佳估计。

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If we were to look at the best estimate of g for you on this set of tests.

David: 如果你参加不同的测试,结果也会不同。

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And it'd be different if you took a different test.

David: 它是134,高于98.8%的人口。

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It was at 134, which is higher than 98.8% of the population.

哇。

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- Wow.

David: 希望你对这些结果没有任何失望。

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- Hopefully you're not disappointed with any of that.

不。

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- No.

我希望能考好。

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I wanted to do well.

我觉得我的动机很高,可能高于一般人。

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I feel like my motivation was high, possibly higher than the average person.

智商的用途与争议的平衡

那么智商有什么用呢?

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So what is IQ good for?

David: 我目前的临床实践是法医神经科学,我的案例中大约90%是死刑案件。

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- My clinical practice now is forensic neuroscience, and about 90% of my cases are death penalty.

David: 最常见的问题之一是所谓的“阿特金斯辩护”(Atkins defense: 一项美国最高法院判例,禁止对智力残疾者执行死刑),以美国最高法院的判例命名,该判例取消了对智力残疾者的死刑。

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One of the most common issues is what's referred to as the Atkins defense after the name of the US Supreme Court case that eliminated the death penalty for people with intellectual disability.

罪犯不能直接在智商测试中作弊吗?

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- Can't the criminal just throw the IQ test?

他们不能故意答错所有问题吗?

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Can't they just intentionally - No. - answer every question wrong?

David: 不。

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- No.

David: 我们会知道的。

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We'd know that.

David: 我的意思是,我们包含了,就像你参加的测试一样,有嵌入式的无效性测量。

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I mean, we include, just like in the test that you took, there are embedded measures of invalidity.

David: 它使用各种数学算法进行检测。

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It's detected using various mathematical algorithms.

David: 我们在检测试图伪装表现不佳的人方面,准确率超过95%。

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We're better than 95% accurate in detecting people who are attempting to fake poor performance.

哦,哇。

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- Oh, wow.

David: 我们可能感兴趣的一件事是,在生命早期提高人们的认知能力,这样即使他们进入认知衰退,他们也需要更长时间才能达到出现功能性日常问题的地步,从而失去独立性。

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- One thing that we may be interested in doing is to boost people's cognitive ability early in life so that it takes them, even if they go into cognitive decline, it takes them longer to reach the point where they'll have sort of functional actual everyday problems where they lose independence,

David: 无论是处理金钱,还是阅读标签,无论人们在认知衰退后期挣扎的是什么。

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whether it comes to dealing with their money, or whether it comes to dealing with reading labels, whatever it is that people struggle with when they get into later stages of cognitive decline.

David: 如果我们能发现一种持久提高人们智力的方法,那将非常有帮助。

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If we could discover a way to lastingly boost people's intelligence, that would be massively helpful.

也许它最好的用途是识别那些具有强大智力能力但尚未能展示出来的人。

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- Maybe its best use is in identifying individuals with strong intellectual abilities who haven't otherwise been able to demonstrate them.

David: 老师会推荐孩子进入天才和资优项目,因为他们通常观察到孩子在课堂上表现良好。

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- Teachers would recommend that a kid gets put in the gifted and talented program, because generally they'd observed them doing well in the classroom.

David: 但如果你用标准化测试,一个智商测试来代替,你会发现在使用智商测试时,天才和资优项目中有更高比例的贫困儿童和少数民族儿童。

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But if you replace that with a standardized test, an IQ test, you find a higher proportion of poorer kids and kids from minority ethnic backgrounds in the gifted and talented program when you use an IQ test.

David: 原因是你使用了客观的衡量标准。

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And the reason is that you're using an objective measure.

David: 你不只是依赖某个老师的意见。

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You're not just relying on some teacher's opinion.

进入一所好学校取决于你认识谁,或者你父母认识谁,或者你父母有多少钱,而不是你的表现如何。

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Getting into a good school was about who you knew, or who your parents knew, or how much money your parents had, not so much about how you were doing.

尝试开发一种相对客观的衡量标准,以消除所有这些社会偏见的想法,显然是一个善意的想法。

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The idea that you could try to develop an objective-ish measure that would try and iron out all those social biases was clearly a well-meaning idea.

David: 智商是不仅心理学界,而且公众都爱恨交织的东西。

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- IQ is something that not only psychology, but the general public has a love-hate relationship with.

跟我说说这个。

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- Tell me about that.

David: 心理学家讨厌谈论智力以及人们的智力测试分数之类的东西。

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Psychologists hate to talk about intelligence and people's intelligence test scores and that kind of stuff.

David: 我遇到过一些父母,当我在对他们的孩子进行神经心理学评估时包含了智力评估,他们会说:“嗯,是的,我想知道他的智商,但你知道,我们并不真正关心那个。是多少?”

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And I've had parents, when I've included intelligence as part of a neuropsychological evaluation of their kid, they'll say, "Well, yeah, I'd like to know his IQ, but you know, we don't really care about that. What was it?"

(两人笑)

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(both laughing)

David: 然后我还认为关于智商的争论,两边都有极端观点,我认为这没有帮助。

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- And then I also think you have the debate about IQ, extremes on both sides, which I think doesn't help.

David: 一方面是极端的人说这是有史以来最重要的东西,人们的智商是我们需要了解他们的一个极其重要的因素,然后我们可以将他们分类到特定的学校,或特定的教育方式等等。

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You have the extreme of people who say this is the most important thing ever, people's IQ is a majorly important factor that we must know about them, and then we can classify them into particular schools, or particular ways of education or whatever.

David: 那是一个极端,我认为那完全是徒劳的。

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That's a one extreme, and I think that's totally unproductive.

David: 但还有另一个极端。

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But there's another extreme.

David: 另一个极端是那种“白板”观点,即这些测试完全无用,它们什么也告诉不了我们,它们只是种族主义和偏见的工具等等。

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The other extreme is the kind of blank slate view, which is that these tests are completely useless, they don't tell us anything, that they're only a tool of racism and prejudice and so on.

David: 我认为那也是错误的。

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I think that's wrong as well.

David: 两边都存在着巨大的争议。

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And there's just this massive firestorm on both sides happening around them.

David: 而中间的人则被遗忘了,那些对这些话题持更温和观点的人。

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And the people in the middle just get forgotten, the people have more moderate views on these sort of topics.

David: 所以我建议人们寻找更温和的观点。

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So I'd recommend that people look for the more moderate views on this.

我认为最大的错误是认为智商在某种程度上决定了一个人的价值。

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- I think the big mistake is thinking that IQ in some way determines someone's worth.

在我看来,更重要的是你如何与周围的人互动并帮助他们。

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What's much more important, in my opinion, is how you interact with and help the people around you.

这就是为什么我认为斯蒂芬·霍金(Stephen Hawking: 英国理论物理学家,宇宙学家)说过:“那些吹嘘自己智商的人是失败者。”

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Which is why I think Stephen Hawking said, "People who brag about their IQ are losers."

虽然智商告诉我们一些事情,但它并不能告诉我们我们的生活将如何发展。

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While IQ tells us something, it doesn't tell us how our lives will turn out.

我们有能力通过积累知识和分析技能来显著改善我们的结果。

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We have the ability to dramatically improve our outcomes by building knowledge and analytical skills.

赞助商信息:Brilliant.org

如果你正在寻找一种免费且简单的方法来做到这一点,那么你应该看看本视频的赞助商Brilliant.org。

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And if you're looking for a free and easy way to do that, then you should check out this video's sponsor, brilliant.org.

通过Brilliant,你可以掌握从数据科学和数学到编程和技术的一切关键概念。

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With Brilliant, you can master key concepts in everything from data science and math to programming and technology.

只需设定你的目标,Brilliant就会为你设计完美的学习路径,为你提供成功所需的工具。

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Just set your goal and Brilliant designs the perfect learning path for you, equipping you with the tools you need to succeed.

他们还通过创建一些令人惊叹的数据可视化帮助我理解智商和净资产之间的关系。

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They also helped me understand how IQ and net worth are related by creating some amazing data visualizations.

想学习如何像数据科学家一样思考吗?

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Want to learn how to think like a data scientist?

那么Brilliant的最新课程《视觉探索数据》是实现这一目标的快速简便方法。

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Then Brilliant's latest course, Exploring Data Visually is a fast and easy way to get there.

它不需要编码技能,相反,你将专注于数据背后的“为什么”,并分析真实数据集来了解世界。

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It requires no coding skills, and instead you'll focus on the whys behind the data and analyze real data sets to learn things about the world.

在当今世界,数据技能不仅仅是锦上添花,它们是必不可少的。

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In today's world, data skills aren't just nice to have, they're essential.

Brilliant不仅仅是一个学习平台。

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Brilliant is more than just a learning platform.

它是你理解数学、数据和计算机科学世界的途径。

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It's your path to understanding the world of math, data and computer science.

Brilliant的优点在于所有课程都是实践性的。

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And what's great about Brilliant is that all the lessons are hands-on.

所以你建立了真正的直觉,这样你就可以很好地利用所学知识。

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So you build real intuition so you can put what you've learned to good use.

我在视频主要部分没有包含的一点是,唯一与智商相关的个性方面是“经验开放性”。

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One thing I didn't include in the main part of the video is that the only aspect of personality that correlates with IQ is openness to experience.

你越愿意尝试新事物,你学到的就越多,你就会越聪明。

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The more you're willing to give new things a try, the more you'll learn and the smarter you'll be.

所以,要免费试用Brilliant提供的所有内容30天,请访问brilliant.org/veritasium。

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So to try everything Brilliant has to offer for free for a full 30 days, visit brilliant.org/veritasium.

我将把链接放在描述中,前200名注册的用户将获得Brilliant年度高级订阅20%的折扣。

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I will put that link down in the description, and the first 200 of you to sign up will get 20% off Brilliant's annual premium subscription.

所以我要感谢Brilliant赞助本视频,也要感谢您的观看。

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So I want to thank Brilliant for sponsoring this video, and I want to thank you for watching.

📌 文中提及的人物和组织

人物: Stephen Hawking

公司/组织: Stanford

产品/模型: SAT

关键字: cognitive effect geopolitical intelligence iq-testing