An Abstractionist Account
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Köp båda 2 för 1298 krA sophisticated, original introduction to the philosophy of mathematics from one of its leading thinkers Mathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperi...
This book examines positions that challenge the Fregean logic-first view. It raises critical questions about logic by examining various ways in which logic may be entangled with mathematics and metaphysics. Is logic topic-neutral and general? Can ...
Inger Bakken Pedersen, The Mathematical Intelligencer Thin Objects is therefore warmly recommended as a novel contribution to the philosophy of mathematics. It gives a thorough understanding of the abstractionist approach, clearly showing its Fregean roots, but at the same time diverging from Frege and the neo-Fregeans in substantial and innovative ways.
D. A. Forbes, CHOICE Recommended.
Oystein Linnebo took up a Professorship at the University of Oslo in 2012, having previously been a Professor at Birkbeck, University of London, and held positions at Bristol and Oxford. He obtained his PhD in Philosophy from Harvard in 2002 and an MA in Mathematics from Oslo in 1995. His main research interests lie in philosophical logic, philosophy of mathematics, metaphysics, early analytic philosophy (especially Frege), as well as parts of philosophy of language and philosophy of science. He has published more than fifty articles and is the author of Philosophy of Mathematics (Princeton University Press 2017).
Part I: Essentials 1: In search of thin objects 2: Thin objects via criteria of identity 3: Dynamic abstraction Part II: Comparisons 4: Abstraction and the question of symmetry 5: Unbearable lightness of being 6: Predicative vs. impredicative abstraction 7: The context principle III: Details 8: Reference by abstraction 9: The Julius Caesar problem 10: The natural numbers 11: The question of platonism 12: Dynamic set theory