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Category theory as a framework for an in re interpretation of mathematical structuralism

In Johan van Benthem, Gerhard Heinzman, M. Rebushi & H. Visser (eds.), The Age of Alternative Logics. Springer. pp. 163--179 (2006)

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Logic, Mathematics, Philosophy, Vintage Enthusiasms: Essays in Honour of John L. Bell.David DeVidi, Michael Hallett & Peter Clark (eds.) - 2011 - Dordrecht, Netherland: Springer.details The volume includes twenty-five research papers presented as gifts to John L. Bell to celebrate his 60th birthday by colleagues, former students, friends and admirers. Like Bell’s own work, the contributions cross boundaries into several inter-related fields. The contributions are new work by highly respected figures, several of whom are among the key figures in their fields. Some examples: in foundations of maths and logic ; analytical philosophy, philosophy of science, philosophy of mathematics and decision theory and foundations of economics. (...) No categories $144.41 used $145.21 new $169.99 from Amazon View on Amazon.com Direct download (2 more) Export citation Bookmark 1 citation
Anti-Foundational Categorical Structuralism.Darren McDonald - unknowndetails The aim of this dissertation is to outline and defend the view here dubbed “anti-foundational categorical structuralism” (henceforth AFCS). The program put forth is intended to provide an answer the question “what is mathematics?”. The answer here on offer adopts the structuralist view of mathematics, in that mathematics is taken to be “the science of structure” expressed in the language of category theory, which is argued to accurately capture the notion of a “structural property”. In characterizing mathematical theorems as both (...) Category Theory in Philosophy of Mathematics Direct download (5 more) Export citation Bookmark 2 citations
On Concrete Universals: A Modern Treatment using Category Theory.David Ellerman - 2014 - AL-Mukhatabat.details Today it would be considered "bad Platonic metaphysics" to think that among all the concrete instances of a property there could be a universal instance so that all instances had the property by virtue of participating in that concrete universal. Yet there is a mathematical theory, category theory, dating from the mid-20th century that shows how to precisely model concrete universals within the "Platonic Heaven" of mathematics. This paper, written for the philosophical logician, develops this category-theoretic treatment of concrete universals (...) Category Theory in Philosophy of Mathematics Paradoxes, Miscellaneous in Logic and Philosophy of Logic Plato: Forms in Ancient Greek and Roman Philosophy Plato: One and Many in Ancient Greek and Roman Philosophy Plato: Third Man Argument in Ancient Greek and Roman Philosophy Universals in Metaphysics Direct download (4 more) Export citation Bookmark
Underdetermination as a Path to Structural Realism.Katherine Brading & Alexander Skiles - 2012 - In Elaine Landry & Dean Rickles (eds.), Structural Realism: Structure, Object, and Causality. Springer.details Arguments For and Against Scientific Realism, Misc in General Philosophy of Science Eliminative Conceptions of Material Objects in Metaphysics Fundamentality in Metaphysics Structural Realism in General Philosophy of Science Underdetermination of Theory by Data, Misc in General Philosophy of Science $111.87 new (collection) View on Amazon.com Direct download Export citation Bookmark 10 citations

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