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Toward a hermeneutic categorical mathematics or why category theory does not support mathematical structuralism
Abstract
In this paper I argue that Category theory provides an alternative to Hilbert’s Formal Axiomatic method and doesn't support Mathematical Structuralism.Author's Profile
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Citations of this work
Exemplarity in Mathematics Education: from a Romanticist Viewpoint to a Modern Hermeneutical One.Tasos Patronis & Dimitris Spanos - 2013 - Science & Education 22 (8):1993-2005.
References found in this work
Die Krisis der europäischen Wissenschaften und die transzendentale Phänomenologie: Eine Einleitung in die phänomenologische Philosophie.Edmund Husserl - 2012 - Hamburg: Meiner, F. Edited by Elisabeth Ströker.
Logical pluralism.Jc Beall & Greg Restall - 2000 - Australasian Journal of Philosophy 78 (4):475 – 493.
General Theory of Natural Equivalences.Saunders MacLane & Samuel Eilenberg - 1945 - Transactions of the American Mathematical Society:231-294.
Structure in mathematics and logic: A categorical perspective.S. Awodey - 1996 - Philosophia Mathematica 4 (3):209-237.
An answer to Hellman's question: ‘Does category theory provide a framework for mathematical structuralism?’.Steve Awodey - 2004 - Philosophia Mathematica 12 (1):54-64.
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