# Philosophy Of Mathematics For Beginners

What is mathematics about? How do we know mathematics? In this introductory course problems and theories in the philosophy of mathematics are explored. We examine key developments ranging from the Pythagoreans to contemporary debates

## Date created:

Course: Further details, online booking

## Resources for this course

Type | Resource | Description | People | Full details |
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Philpapers: philosophy of mathematics |
Edited and continually updated resource providing details of articles on topics in the philosophy of mathematics. It is arranged in subcategories... |
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Ancient philosophy and mathematics |
A course exploring the relation of philosophical and mathematical thought in antiquity, with topics, reading lists, a glossary of terms and... |
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Mathematicians and Philosophers, chalk and cheese? |
Comments by Keith Devlin on whether or how mathematicians relate to philosophers |
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Mathematics, Philosophy and the Real World |
36 lectures exploring the relation of mathematical and philosophical ideas, including probability, statistics, free will, Euclid, Descartes,... |
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Philosophy of Mathematics Education Journal |
A peer-reviewed, open access journal containing many articles relevant to philosophy of mathematics |
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Philosophy of mathematics and infinity |
A talk giving a realist view of mathematics, discussing infinity and symmetry |
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Zeno's paradoxes |
Article in the Stanford Encyclopedia of Philosophy on the famous paradoxes of Zeno. |
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Zeno's paradoxes |
Article from the Internet Encyc. of Philosophy on Zeno's paradoxes. |
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Zeno of Elea |
Resource on Zeno of Elea, famous for his paradoxes, including biography and references/bibliography. |
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Pythagoras of Samos |
Resource on Pythagoras, including biography and refs./bibliog. |
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The philosophy of Pythagoras |
Brief account of the mathematics and philosophy associated with Pythagoras |
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Pythagoreanism |
Full article on Pythagorean philosophers and Neopythagoreanism |
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Mathematical Platonism |
Full article from the I.E.P., exploring arguments for and against platonism in the philosophy of mathematics |
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Platonism in the Philosophy of Mathematics |
Clear, structured article on platonism in philosophy of mathematics |
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Indispensability Arguments in the philosophy of mathematics |
Examines the Quine-Putnam indispensability argument, taken by many as the best argument for mathematical realism or platonism |
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Pythagoras and the Pythagoreans |
An exploration of Pythagorean mathematics, including proportion, figurate numbers, the pentagram, the Golden Section and so on |
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Philosophy of Mathematics |
Clear, introductory survey of the history of, and current, philosophy of mathematics by Jeremy Avigad |
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Michael Dummett |
Article on the late British philosopher; includes treatment of his work on Frege and philosophy of mathematics |
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The Applicability of Mathematics |
Article including an account of Frege |
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Gottlob Frege |
Article on Gottlob Frege, including his contributions to logic and philosophy of mathematics |
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Inconsistent Mathematics |
Article with some technical content |
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Russell's Paradox |
Explores Russell's paradox; includes account of Frege, type theory, classes and sets |
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Principia Mathematica |
Brief account of the history and significance of Russell's and Whitehead's work of formal logic |
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Gottlob Frege |
Full treatment of Frege's philosophy, including his logic and philosophy of mathematics |
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Mathematical Structuralism |
Article by Stewart Shapiro on Structuralism in the philosophy of mathematics |
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Philosophy of Mathematics: essay questions, assignments |
A list of standard problems and essay questions |
Martin Ovens | view |