Handbook of the History and Philosophy of Mathematical Practice

Handbook of the History and Philosophy of Mathematical Practice

Sriraman, Bharath

Springer International Publishing AG

04/2024

3269

Dura

Inglês

9783031408458

15 a 20 dias

Descrição não disponível.
Introduction to the Handbook of the History and Philosophy of Mathematical Practice.- From Origins to the Natural Historians/Philosophers.- Logic.- Practices in Euclidean and Non-Euclidean Geometry.- "Experimental" Mathematics.- Constructing the Reals; Paradoxes and Foundations.- Views from Other Domains.- Ontology.- Proof.- Pluralism.- New Perspectives.- Trends and Influences in 20th Century Mathematics. Mathematicians' Reflections on Practice and Working Philosophy of Mathematics. Practical, Historical, and Philosophical Instances of Probability.- Semiology of Mathematical Practice.
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Origins;Natural history;Natural philosophy;Mathematicians reflections;Influences in 20c and 21c mathematical practice;Probability;Constructing the reals;Paradoxes and foundations;Euclidean and non-Euclidean geometry;Logic;Proof;Ontology;Pluralism;Experimental mathematics;Views from other domains;New perspectives;Semiology of mathematical practice;Reuben Hersh;Yuri Manin;Chandler Davis