Mathematics as a By-product of Problem-solving Expertise
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概要
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The main purpose of the paper is to call philosophers' attention to expertise, a form of tacit knowledge that is essential for expert problem-solving activities in the life-world. To this end, I construct a framework showing how mathematical objects emerge from omitprosses of expert problem-solving activities. First, I will refer to the framework of the historical genesis of mathematical objects that is presented by Enrico Giusti, an Italian historian of mathematics. His framework suggests that mathematical objects emerged from processes of technical omit-skills of problem-solving by mathematicians. Then I will explain how Husserl's genetic phenomenology analyzes the genesis of geometrical objects. The framework of the genesis of mathematical objects that is presented here strongly encourages philosophical investigations into expertise in order to study the nature of mathematical objects (and of ideal objects, generally). In addition, it provides philosophers of mathematics with an alternative way of interpreting mathematical objects, and I hopeit helps phenomenologists interpret Husserl's concept of the "life-world".
- 日本哲学会の論文
日本哲学会 | 論文
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