Diagrams, Visual Imagination, and Continuity in Peirce's Philosophy of Mathematics

AvVitaly Kiryushchenko

Häftad, Engelska, 2024

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Beskrivning

This book is about the relationship between necessary reasoning and visual experience in Charles S. In practicing this kind of reasoning, one treats diagrams not simply as external auxiliary tools, but rather as immediate visualizations of the very process of the reasoning itself.

Produktinformation

Utgivningsdatum:2024-05-14
Mått:155 x 235 x 11 mm
Vikt:289 g
Format:Häftad
Språk:Engelska
Serie:Mathematics in Mind
Antal sidor:172
Förlag:Springer International Publishing AG
ISBN:9783031232473

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Recensioner i media

“An extensive bibliography is provided. The book is addressed to those specializing in philosophy, mathematics, and intellectual history. It could also be of interest to a wider audience by showing what all those areas have in common in Peirce's case.” (Roman Murawski, Mathematical Reviews, April, 2024)

Innehållsförteckning

1. Introduction.- 2. Meritocratism, Errors, and the Community of Inquiry.- 3. Logic and Mathematics.- 4. Peirce's Transcendental Deduction.- 5. Sign Relation. - 6 One, Two, Three.- 7. Iconicity and Novelty.- 8. The General and the Particular.- 9. Diagrams Between Images and Schema.- 10. Existential Graphs.- 11. Iconicity, Similarity, and Habitual Action.- 12. Mapping Philosophy.- 13. L'Image-Mouvement, Mathematically Sublime, and the Perception of Totality.- 14. The Metaphysics of Continuity.- 15. Conclusion.