2012•Medical Entomology and ZoologyRequires access

Synthetic Philosophy of Contemporary Mathematics

Fernando Zalamea, Zachary Luke Fraser

Abstract

IntroductionPart 1: The General Environment of Contemporary Mathematics: The Specificity of Modern and Contemporary Mathematics Advanced Mathematics In the Tracts of Mathematical Philosophy Toward a Synthetic Philosophy of Contemporary Mathematics Part 2: Case Studies: Grothendieck Eidal Mathematics Quiddital Mathematics Archeal Mathematics Part 3: Synthetic Sketches: Fragments of a Transitory Ontology Comparative Epistemology and Sheafification Phenomenology of Mathematical Creativity Mathematics and Cultural Circulation

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Key concepts: Philosophy of mathematics, Abstract structure, Philosophy of mathematics education, Creativity, Phenomenology (philosophy), Mathematical practice, Mathematics education, Mathematics