Aristotle’s Philosophy of Mathematics and Mathematical Abstraction

Year 2017, Volume: 7 Issue: 2, 33 - 49, 30.12.2017

Murat Kelikli

https://doi.org/10.18491/beytulhikme.375777

Abstract

Although there are many questions to be asked about philosophy of mathematics, the fundamental questions to be asked will be questions about what the mathematical object is in view of being and what the mathematical reasoning is in view of knowledge. It is clear that other problems will develop in parallel within the framework of the answers to these questions. For this reason, when we approach Aristotle's philosophy of mathematics over these two basic problems, we come up with the concept of abstraction. In our work, I will try to explain the mathematical abstraction that Aristotle has developed to understand mathematical philosophy.

Keywords

Aristotle, mathematics, philosophy of mathematics, abstraction, mathematical abstraction

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