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An Introduction to the Philosophy of Mathematics is a 2012 textbook on the philosophy of mathematics by Mark Colyvan. It has a focus on issues in contemporary philosophy , such as the mathematical realism – anti-realism debate and the philosophical significance of mathematical practice, and largely skips over historical debates.
Introduction to Mathematical Philosophy is a book (1919 first edition) by philosopher Bertrand Russell, in which the author seeks to create an accessible introduction to various topics within the foundations of mathematics.
If the file has been modified from its original state, some details may not fully reflect the modified file. Short title The persistent problems of philosophy; an introduction to metaphysics through the study of modern systems
It is to be regretted that this first comprehensive and thorough-going presentation of a mathematical logic and the derivation of mathematics from it [is] so greatly lacking in formal precision in the foundations (contained in 1– 21 of Principia [i.e., sections 1– 5 (propositional logic), 8–14 (predicate logic with identity/equality), 20 ...
Ned Block (ed.), Readings in Philosophy of Psychology, 1981; Mario Bunge and Rubén Ardilla, Philosophy of Psychology, 1987; Paul E. Meehl, "Theoretical Risks and Tabular Asterisks: Sir Karl, Sir Ronald, and the Slow Progress of Soft Psychology", 1992; Steven Pinker, The Blank Slate: The Modern Denial of Human Nature, 2002
Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship to other areas of philosophy, particularly epistemology and metaphysics. Central questions posed include whether or not mathematical objects are purely abstract entities or are in some way concrete, and in what the relationship ...
The role of mathematics in Western philosophy has grown and expanded from Pythagoras onwards. It is clear that numbers held a particular importance for the Pythagorean school , although it was the later work of Plato that attracts the label of mathematicism from modern philosophers.
Paul Thagard writes that "the current philosophy of mathematics that fits best with what is known about minds and science is James Franklin's Aristotelian realism." [ 12 ] In the philosophy of probability, he argues for an objective Bayesian view according to which the relation of evidence to conclusion is strictly a matter of logic. [ 13 ]
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