The Significance of the Mathematical Element in the Philosophy of Plato (Classic Reprint): A Dissertation - Couverture souple

Miller, Irving Elgar

 
9781333807412: The Significance of the Mathematical Element in the Philosophy of Plato (Classic Reprint): A Dissertation

Synopsis

Discover how Plato’s philosophy and mathematics shape each other, shaping his questions about knowledge, ethics, and the cosmos.

This scholarly work examines how the mathematical mind informs Plato’s method, his views on knowledge, and the ethical concerns that run through his dialogues. It traces how mathematics supplies tools for reasoning and a framework for dialectic, helping to ground philosophical conclusions in clear, rational procedure.



Readers will see how mathematics influences Plato’s approach to method, the role of dialectic, and the integration of mathematical ideas with metaphysical and cosmological claims. The study argues that mathematical reasoning and philosophical investigation reinforce one another in the search for secure knowledge.




  • How mathematical training shapes reasoning and contributes to philosophical method

  • Connections between arithmetic, geometry, and Plato’s ethical conclusions

  • The relationship between mathematical procedure and dialectic in the dialogue tradition

  • A nuanced look at how the sciences, forms, and the cosmos are linked through mathematical thinking



Ideal for readers of philosophical history and students interested in the dialogue between mathematics and Plato’s philosophy.

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