符号的数学:中国文化对计算的控制的更近的对抗

R. Kashyap
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引用次数: 1

摘要

马尔科姆·格拉德威尔(Malcolm Gladwell)的杰出著作《异类》(Outliers)谈到,稻田可能是将数学培养到我们基因中的完美场所,受此启发,我们认为,在书写脚本中拥有众多字符(1,2),对培养符号操作的才能(这是抽象数字才能所必需的)是一个意想不到但受欢迎的结果。我们希望测试这样一个假设,即从早期开始对许多不同符号的介绍,提供了一种文化优势,这对处理数学符号和符号很有用。数学也许是最简单、最美丽、最精确的语言,只要我们在阅读高级数学书籍时,不被那些符号和奇怪的、有些可怕的字符弄得惊慌失措。数学是简单的,因为我们只能根据既定的规则(假设或公理或从这些基本规则衍生的其他规则,称为引理或定理)从一步移动到下一步。当台阶被忽略的时候,就是混乱开始统治的时候。当我们看到新的符号时,教我们不要被打扰的文化也许是我们处理数学所需要的训练。每当出现新的符号时,我们只需要将它们添加到我们的词汇表中,理解上下文并继续进行。毫无疑问,这说起来容易做起来难。但是,如果我们不再关注新的符号,不再努力去习惯它们,事情肯定不会变得更容易。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Mathematics of Symbols: A Closer Confrontation of the Chinese Cultural Command over Calculations
Inspired by Malcolm Gladwell’s phenomenal book, Outliers, which talks about the possibility of paddy fields being the perfect place to cultivate mathematics into our genes, we consider an unintended yet welcome consequence of having numerous characters in a writing script (1, 2), towards developing a talent for symbolic manipulation, which is necessary for abstract numerical aptitude. We wish to test the hypothesis that, this introduction from an early age, to many different symbols, provides a cultural advantage, that can be useful for dealing with mathematical symbols and notation. Mathematics is perhaps, the most simple, beautiful and precise language, provided that, we are not flustered by the notation and the strange, somewhat scary characters, that pop out at us, when we are looking at advanced books on Mathematics. Mathematics is simple, because we can only move from one step to the next, based on well established rules (either assumptions or axioms or other rules derived from these foundational rules, termed lemmas or theorems). When the steps are left out, that is when chaos begin to reign. A culture that teaches us not to get bothered, when we see new symbols is perhaps the training we need to deal with Mathematics. Whenever new symbols jump out at us, we just need to add them to our vocabulary, understand the context and proceed further. This is easier said than done, no doubt. But it will definitely not become easier, if we veer away from looking at the new symbols and stop working on becoming accustomed to them.
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