Download E-books Philosophy of Mathematics (Princeton Foundations of Contemporary Philosophy) PDF

By Øystein Linnebo

A refined, unique creation to the philosophy of arithmetic from one among its top modern scholars

Mathematics is one in every of humanity's so much winning but perplexing endeavors. it's a version of precision and objectivity, yet seems targeted from the empirical sciences since it turns out to convey nonexperiential wisdom of a nonphysical truth of numbers, units, and features. How can those facets of arithmetic be reconciled? This concise ebook presents a scientific but available creation to the sector that's attempting to solution that question: the philosophy of mathematics.

Written via Øystein Linnebo, one of many world's top students at the topic, the ebook introduces all the classical methods to the sphere, together with logicism, formalism, intuitionism, empiricism, and structuralism. It additionally comprises available introductions to a few extra really good concerns, akin to mathematical instinct, power infinity, the iterative perception of units, and the quest for brand new mathematical axioms. The groundbreaking paintings of German mathematician and thinker Gottlob Frege, one of many founders of analytic philosophy, figures prominently during the e-book. different vital thinkers whose paintings is brought and mentioned contain Immanuel Kant, John Stuart Mill, David Hilbert, Kurt Gödel, W. V. Quine, Paul Benacerraf, and Hartry H. Field.

Sophisticated yet transparent and approachable, this can be an important creation for all scholars and lecturers of philosophy, in addition to mathematicians and others who are looking to comprehend the principles of mathematics.

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