Mathematics and Its Applications - A Transcendental-Idealist Perspective (Hardcover, 1st ed. 2017)

This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism. The author details a philosophy of mathematics in which the problem of its applicability, particularly in physics, in all its forms can be explained and justified. Chapters cover: mathematics as a formal science, mathematical ontology: what does it mean to exist, mathematical structures: what are they and how do we know them, how different layers of mathematical structuring relate to each other and to perceptual structures, and how to use mathematics to find out how the world is. The book simultaneously develops along two lines, both inspired and enlightened by Edmund Husserl's phenomenological philosophy. One line leads to the establishment of a particular version of mathematical structuralism, free of "naturalist" and empiricist bias. The other leads to a logical-epistemological explanation and justification of the applicability of mathematics carried out within a unique structuralist perspective. This second line points to the "unreasonable" effectiveness of mathematics in physics as a means of representation, a tool, and a source of not always logically justified but useful and effective heuristic strategies.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Synthese Library, 385
Release date:	September 2017
First published:	2017
Authors:	Jo Da Silva
Dimensions:	235 x 155 x 24mm (L x W x T)
Format:	Hardcover
Pages:	275
Edition:	1st ed. 2017
ISBN-13:	978-3-319-63072-4
Categories:	Books > Science & Mathematics > Mathematics > Philosophy of mathematics Books > Humanities > Philosophy > Topics in philosophy > Epistemology, theory of knowledge Books > Philosophy > Topics in philosophy > Epistemology, theory of knowledge
LSN:	3-319-63072-5
Barcode:	9783319630724

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