Construction of the final results of infinite iterative processes in individuals’ mind in a geometrical context

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.1093/teamat/hrac001

Ali Barahmand

引用次数: 0

Abstract

This study provides a framework for explaining the way individuals might construct the final result of infinite iterative processes in a geometrical context. To this end, 30 undergraduate students were interviewed. The analysis of the data collected yielded two different views: first, there were those who believed that the presented infinite iterative processes will have to end because nothing else could be imagined; second, there were those who claimed that the processes will not end because assuming that a final result will fall out of processes would be paradoxical. In this regard, this study demonstrates how some related paradoxes in a geometrical context can be interpreted, by analyzing their potential sources, within the proposed framework.

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几何背景下个体心理无限迭代过程最终结果的构建

这项研究提供了一个框架来解释个体在几何背景下如何构建无限迭代过程的最终结果。为此，对30名本科生进行了访谈。对收集到的数据的分析产生了两种不同的观点：首先，有人认为，由于无法想象其他情况，所提出的无限迭代过程将不得不结束；其次，有些人声称这些过程不会结束，因为假设最终结果会脱离过程是自相矛盾的。在这方面，本研究展示了如何在所提出的框架内，通过分析几何背景下的一些相关悖论的潜在来源，来解释它们。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.