Article

Philosophy of Mathematics

Otávio Bueno

in Philosophy

ISBN: 9780195396577
Published online May 2010 | | DOI: http://dx.doi.org/10.1093/obo/9780195396577-0069
Philosophy of Mathematics

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Philosophy of mathematics is arguably one of the oldest branches of philosophy, and one that bears significant connections with core philosophical areas, particularly metaphysics, epistemology, and (more recently) the philosophy of science. This entry focuses on contemporary developments, which have yielded novel approaches (such as new forms of Platonism and nominalism, structuralism, neo-Fregeanism, empiricism, and naturalism) as well as several new issues (such as the significance of the application of mathematics, the role of visualization in mathematical reasoning, particular attention to mathematical practice and to the nature of mathematical explanation). Excellent work has also been done on particular philosophical issues that arise in the context of specific branches of mathematics, such as algebra, analysis, and geometry, as well as particular mathematical theories, such as set theory and category theory. Due to limitations of space, this work goes beyond the scope of the present entry.

Article.  8128 words. 

Subjects: Philosophy ; Aesthetics and Philosophy of Art ; Epistemology ; Feminist Philosophy ; History of Western Philosophy ; Metaphysics ; Moral Philosophy ; Non-Western Philosophy ; Philosophy of Language ; Philosophy of Law ; Philosophy of Mathematics and Logic ; Philosophy of Mind ; Philosophy of Religion ; Philosophy of Science ; Social and Political Philosophy

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