Predicative Arithmetic. (MN-32)

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This book develops arithmetic without the induction principle, working in theories that are interpretable in Raphael Robinson's theory Q. Certain inductive form

Understanding the Infinite

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An accessible history and philosophical commentary on our notion of infinity. How can the infinite, a subject so remote from our finite experience, be an everyd

The Oxford Handbook of Philosophy of Mathematics and Logic

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Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branc

The Oxford Handbook of Philosophy of Mathematics and Logic

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Covers the state of the art in the philosophy of maths and logic, giving the reader an overview of the major problems, positions, and battle lines. The chapters

Diffusion, Quantum Theory, and Radically Elementary Mathematics. (MN-47)

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Diffusive motion--displacement due to the cumulative effect of irregular fluctuations--has been a fundamental concept in mathematics and physics since Einstein'