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The Trouble With Zero

2025/1/1
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Short Wave

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Regina Barber
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Yasmin Saplakoglu
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Regina Barber: 本节目探讨了零的概念及其在人类大脑中的处理方式。零作为一种相对较新的概念,在历史上经历了从占位符到独立数字的演变过程,并曾引发过争议和误解。在神经科学方面,研究表明大脑中存在专门处理特定数字的神经元,并且处理小于4的数字和大于4的数字的方式不同。对零的研究发现,大脑将零置于数字线起始位置,但零在神经元活动方面仍表现出特殊性,这可能与大脑理解“缺失”的概念有关。 Yasmin Saplakoglu: 零的概念在历史上出现较晚,最初并非作为数字使用,而是一种占位符。在中世纪欧洲,零的概念曾引发恐惧和困惑,甚至被一些城市禁止。从神经科学的角度来看,大脑处理零的方式与处理其他数字的方式存在细微差别。一部分研究表明大脑处理零的方式与处理其他数字相似,零位于大脑中的数字线起始位置;另一部分研究则发现,更多神经元将零作为其偏好数字,这表明大脑可能用更多神经元来表示空集。这些研究结果的差异可能源于研究规模的不同,未来的研究将进一步探究大脑如何理解“缺失”以及如何处理更复杂的数字。 Yasmin Saplakoglu: 人脑中存在专门处理特定数字的神经元,这些神经元对特定数字的反应更强烈。大脑处理小于4的数字的方式与处理大于4的数字的方式不同,存在一个临界点4。当数字大于4时,大脑进行的是比较而非计数;当数字小于4时,大脑进行的是直接计数。大脑处理数字的方式可能与工作记忆或意识有关,因为人们只能记住有限数量的物体。研究人员试图探究大脑是否以特殊的方式处理零,并发现大脑将零置于数字线起始位置,但零在神经元活动方面仍表现出特殊性。未来的研究方向包括探究大脑如何理解“缺失”以及如何处理更复杂的数字。

Deep Dive

Key Insights

When was zero first used as a number, and by whom?

Zero was first used as a number around the 7th century by Indian mathematicians. They were the first to recognize zero as a digit, similar to other numbers like 1, 2, and 3.

Why was zero initially met with resistance in medieval Europe?

In medieval Europe, zero was met with resistance because it was seen as a confusing and even frightening concept. Philosophers and theologians associated it with chaos and disorder, and some even called it the 'devil's number.' Florence, Italy, went as far as banning zero altogether.

How does the brain process zero differently from other numbers?

Research shows that while the brain places zero at the start of a mental number line, similar to other numbers, it also processes zero differently in some ways. For instance, more neurons are activated for the concept of 'zero objects' compared to other small quantities, suggesting the brain represents absence with more neural activity.

What is the numerical distance effect, and how does it relate to zero?

The numerical distance effect is a phenomenon where the brain more easily distinguishes numbers that are far apart (e.g., 7 and 10) than those close together (e.g., 7 and 8). Researchers found that zero also exhibits this effect, suggesting the brain processes it similarly to other numbers, though with some unique characteristics.

How does the brain process small numbers differently from large numbers?

The brain processes small numbers (below four) with greater precision than larger numbers. For numbers above four, the brain shifts from counting to comparing, and this boundary is thought to be related to working memory, as people can typically hold about four objects in their awareness at once.

What are 'number neurons,' and how do they function in the brain?

Number neurons are specialized neurons in the brain that are tuned to specific numbers. For example, some neurons favor the number five and fire more when five items are present, while others favor different numbers. This system allows the brain to process numerical information in a highly specific way.

What future research directions are scientists exploring regarding zero?

Scientists are interested in further exploring how the brain comprehends zero and absence. One group aims to study the evolutionary steps toward understanding zero, while another is focusing on how the brain processes other abstract numbers, including the written word 'zero' compared to the digit or the concept of empty sets.

Chapters
The concept of zero is explored, tracing its historical development from a placeholder to a number. The show discusses the challenges people faced in accepting zero as a number and the abstract nature of zero compared to other numbers.
  • Zero was not initially a number but a placeholder.
  • Its adoption was met with resistance and even bans.
  • Zero's abstract nature makes it harder for the brain to process than other numbers.

Shownotes Transcript

Happy New Year, Short Wavers! What better time to contemplate the conundrum that is zero than this, the reset of the year? Zero is a fairly new concept in human history and even more recent as a number. It wasn't until around the 7th century that zero was being used as a number. That's when it showed up in the records of Indian mathematicians. Since then, zero has, at times, been met with some fear — at one point, the city of Florence, Italy banned the number.Today, scientists seek to understand how much humans truly comprehend zero — and why it seems to be different from other numbers. That's how we ended up talking to science writer Yasemin Saplakoglu) about the neuroscience of this number that means nothing.Read more)** of Yasemin's reporting on zero for Quanta Magazine. Plus, check out) our episode on why big numbers break our brains.***Thirst for more math episodes? Let us know what kind of stories you want to hear from us in 2025 by emailing [email protected])! Listen to every episode of Short Wave sponsor-free and support our work at NPR by signing up for Short Wave+ at plus.npr.org/shortwave).*Learn more about sponsor message choices: podcastchoices.com/adchoices)NPR Privacy Policy)