Patricia Blanchette discusses Logicism and the work of Gottlob Frege. Logicism is a school of thought in the philosophy of mathematics which tries to reduce mathematics to logic. Gottlob Frege was a 18th-19th century German philosopher and mathematician who made important contributions to the fields of logic, philosophy of language, and philosophy of mathematics. This […]

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Bryan Magee and Anthony Quinton discuss the work of Ludwig Wittgenstein. This interview is from a 1978 BBC program. Subtitles/transcript are available.

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What is mathematics about and how do we acquire mathematical knowledge? Is mathematics something discovered or invented? Daniel Sutherland discusses such issues in the philosophy of mathematics, explaining some of the basic difficulties involved in trying to say what numbers are and how we come to know them. This is an episode of Elucidations, a […]

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What was happening in philosophy in 1905? In this talk, Ray Monk seeks to answer that question by picking out some of the most influential works of philosophy that were published in or shortly before that year, describing both those works themselves and their intellectual context. The works discussed include Bertrand Russell’s On Denoting, Gottlob […]

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A good introduction to the philosophy of mathematics by Ray Monk. He considers the issue of the nature of mathematical truth, what mathematics is actually about, and discusses the views of Plato, Aristotle, Immanuel Kant, Frege and Bertrand Russell… What are numbers? What is mathematics even about? Is it something discovered or is it something […]

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Michael Friedman gives a talk at a MCMP workshop on Carnap and his work the Aufbau, titled “From Intuition to Tolerance in Carnap’s Philosophy of Mathematics”. Abstract: I plan to discuss the evolution of Carnap’s views on arithmetic and geometry from Der Raum, through the Aufbau period, to Logical Syntax and the semantic period. I […]

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Joseph Berkovitz (Toronto) gives a talk at MCMP. Modern physics is highly mathematical, and this may suggest that mathematics is bound to play some role in explaining physical reality. Yet, there is an ongoing controversy about the prospects of mathematical explanations of physical facts and the nature of such explanations. A popular view has it […]

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Catarina Duthil-Novaes (ILLC/Amsterdam) gives a talk at MCMP. Abstract: When applying logical tools to study a given extra-theoretical, informal phenomenon, it is now customary to design a deductive system, and a semantic system based on a class of mathematical structures. The assumption seems to be that they would each capture specific aspects of the target […]

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Professor Adrian Moore introduces the puzzling concept of the infinite, a concept with deep mathematical and philosophical implications. This talk was given at St Hugh’s College.

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Michiel van Lambalgen (Amsterdam) and Dora Achourioti (Amsterdam) give a talk at MCMP on the completeness of Kant’s Table of Judgements and its consequences for the philosophy of mathematics. It is a common belief among logicians that Kant’s discussion of logic in his Critique of Pure Reason has little to offer to modern practitioners, since […]

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