Mathematics as a Science of Patterns
Mathematics as a Science of Patterns by Michael D. Resnik, published by Clarendon Press in 1997, is a comprehensive exploration of the nature of mathematics. This edition spans 285 pages and is presented in English. Resnik articulates his perspective that mathematics is a science with a factual subject matter, aligning mathematical knowledge with other scientific disciplines. He emphasizes a structuralist philosophy, framing mathematics as a science of patterns and defending a realist view regarding the metaphysics of mathematics.
Readers will find a systematic presentation of Resnik’s distinctive philosophy, which connects mathematics, philosophy, and logic. The book addresses key topics such as the relationship between these disciplines, truth, realism, and epistemology. It aims to engage not only specialists but also a broader audience, including philosophers and mathematicians interested in the foundational aspects of mathematics and its implications in the realm of science.
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Mathematics as a Science of Patterns is the definitive exposition of a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defence of realism about the metaphysics of mathematics–the view that mathematics is about things that really exist. Resnik’s distinctive philosophy of mathematics is here presented in an accessible and systematic form: it will be of value not only to specialists in this area, but to philosophers, mathematicians, and logicians interested in the relationship between these three disciplines, or in truth, realism, and epistemology.
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