Description
Book Synopsis: A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholarsMathematics is one of humanity's most successful yet puzzling endeavors. It is a model of precision and objectivity, but appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic yet accessible introduction to the field that is trying to answer that question: the philosophy of mathematics.
Written by Øystein Linnebo, one of the world's leading scholars on the subject, the book introduces all of the classical approaches to the field, including logicism, formalism, intuitionism, empiricism, and structuralism. It also contains accessible introductions to some more specialized issues, such as mathematical intuition, potential infinity, the iterative conception of sets, and the search for new mathematical axioms. The groundbreaking work of German mathematician and philosopher Gottlob Frege, one of the founders of analytic philosophy, figures prominently throughout the book. Other important thinkers whose work is introduced and discussed include Immanuel Kant, John Stuart Mill, David Hilbert, Kurt Gödel, W. V. Quine, Paul Benacerraf, and Hartry H. Field.
Sophisticated but clear and approachable, this is an essential introduction for all students and teachers of philosophy, as well as mathematicians and others who want to understand the foundations of mathematics.
Details
Are you fascinated by the mysteries and complexities of mathematics? Look no further than the Philosophy of Mathematics! Written by Øystein Linnebo, a renowned scholar in the field, this book offers a comprehensive exploration of the philosophy of mathematics. Discover the answers to questions that have puzzled both mathematicians and philosophers for centuries.
What sets mathematics apart from other sciences? How can we reconcile its precision and objectivity with its nonexperiential knowledge of abstract concepts? With clarity and depth, Linnebo introduces various philosophical approaches to these fundamental questions. From logicism and formalism to intuitionism and empiricism, this book covers the classical theories and delves into specialized topics such as mathematical intuition and the search for new axioms.
In this journey of intellectual discovery, you will encounter the revolutionary ideas of Gottlob Frege, a German mathematician and philosopher. Embracing the works of influential thinkers like Immanuel Kant and David Hilbert, Linnebo highlights the significance of their contributions to the development of analytic philosophy and the philosophy of mathematics.
Whether you are a student, teacher, mathematician, or simply curious about the foundations of mathematics, this book is an invaluable resource. It combines sophistication with accessibility, making complex theories easy to grasp and stimulating your intellectual curiosity. Don't miss out on the opportunity to delve into the captivating world of mathematical philosophy. Get your copy of Philosophy of Mathematics today and embark on a journey of profound knowledge and understanding!
Ready to unlock the secrets of mathematics? Get your copy of Philosophy of Mathematics now!
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