Readings
Aristotle, Metaphysics XIII and XIV
Aristotle, Physics XIII.8
Azzouni, "On 'On What There Is'"
Balaguer, "Fictionalism in the Philosophy of Mathematics"
Balaguer, "A New Platonist Epistemology"
Barker, "A Priori and Empirical Knowledge"
Benacerraf, "What Mathematical Truth Could Not Be - I"
Bostock, "Aristotle, Zeno, and the Potential Infinite"
Brouwer, "Consciousness, Philosophy, and Mathematics"
Burgess, "Why I Am Not a Nominalist"
Chudnoff,
Chudnoff,
Colyvan, "The Eleatic Principle"
Colyvan, "Mathematical Recreation versus Mathematical Knowledge"
Colyvan, "Mathematics and Aesthetic Considerations in Science"
Colyvan, "The Quinean Backdrop"
Colyvan, "There's No Easy Road to Nominalism"
Dauben, "Cantor's Philosophy of the Infinite"
Dummett, "Wittgenstein's Philosophy of Mathematics"
Feferman, Introduction to Gödel, "What is Cantor's Coninuum Problem"
Friedman, "Explanation and Scientific Understanding"
Gentzen, "The Concept of Infinity in Mathematics"
Gettier, "Is Justified True Belief Knowledge?"
Gillies, Frege, Dedekind and Peano
Gödel, "What is Cantor's Coninuum Problem (1964)"
Grice and Strawson, "In Defence of a Dogma"
Hart, "Access and Inference"
Kant, Selections from the Prolegomena
Katz, "Conclusion: The Problems of Philosophy"
Katz, "Toward a Realistic Rationalism"
Kitcher, "Arithmetic for the Millian"
Kitcher, "Explanatory Unification"
Kitcher, "Kant and the Foundations of Mathematics"
Kline, "Coordinate Geometry"
Kline, "The Creation of Classical Greek Mathematics"
Kline, "The Greek Rationalization of Nature"
Kline, "The Mathematization of Science"
Kline, "The Creation of the Calculus"
Lear, "Aristotle's Philosophy of Mathematics"
Leng, "What’s Wrong With Indispensability? (Or, The Case for Recreational Mathematics)"
MacBride, "Listening to Fictions: A Study of Fieldian Nominalism"
Maddy, "Indispensability and Practice"
Mancosu, "Explanation in Mathematics"
Marcus, "The Eleatic and the Indispensabilist"
Marcus, "How Not to Enhance the Indispensability Argument"
Marcus, "The Indispensabilist and the Autonomist"
Melia, "Field’s Programme: Some Interference"
Melia, "Response to Colyvan"
Melia, "Weaseling Away the Indispensability Argument"
Mueller, "Aristotle on Geometric Objects"
Paseau, "Scientific Platonism"
Potter, "What is the Problem of Mathematical Knowledge?"
Quine, "Existence and Quantification"
Quine, On Mathematical Recreation
Quine, "Success and the Limits of Mathematization"
Quine, "Truth By Convention"
Quine, "Two Dogmas of Empiricism"
Quine, "Whither Physical Objects"
Resnik, "A Naturalized Epistemology for a Platonist Mathematical Ontology"
Russell, "On Our Knowledge of General Principles"
Russell, "How A Priori Knowledge is Possible"
Smullyan, "The General Idea Behind Gödel’s Proof"
Sober, "Mathematics and Indispensability"
Sutherland, "Kant’s Philosophy of Mathematics and the Greek Mathematical Tradition"
Tiles, "Cantor's Transfinite Paradise"
Tiles, "Numbering the Continuum"
von Neumann, "The Formalist Foundations of Mathematics"
Wittgenstein, Selections from Remarks on the Foundations of Mathematics