By Øystein Linnebo
A subtle, unique advent to the philosophy of arithmetic from one in every of its top modern scholars
Mathematics is one among humanity's such a lot winning but difficult endeavors. it's a version of precision and objectivity, yet looks specified from the empirical sciences since it turns out to bring nonexperiential wisdom of a nonphysical fact of numbers, units, and capabilities. How can those points of arithmetic be reconciled? This concise ebook presents a scientific but available creation to the sphere that's attempting to solution that question: the philosophy of mathematics.
Written by means of Øystein Linnebo, one of many world's prime students at the topic, the publication introduces the entire classical methods to the sphere, together with logicism, formalism, intuitionism, empiricism, and structuralism. It additionally comprises available introductions to a couple extra really good concerns, corresponding to mathematical instinct, strength infinity, the iterative belief of units, and the hunt for brand spanking new mathematical axioms. The groundbreaking paintings of German mathematician and thinker Gottlob Frege, one of many founders of analytic philosophy, figures prominently in the course of the ebook. different vital thinkers whose paintings is brought and mentioned comprise Immanuel Kant, John Stuart Mill, David Hilbert, Kurt Gödel, W. V. Quine, Paul Benacerraf, and Hartry H. Field.
Sophisticated yet transparent and approachable, this is often an important creation for all scholars and academics of philosophy, in addition to mathematicians and others who are looking to comprehend the principles of mathematics.