Mathematics and Its Applications

A Transcendental-Idealist Perspective

Nonfiction, Religion & Spirituality, Philosophy, Epistemology, Science & Nature, Mathematics, History
Cover of the book Mathematics and Its Applications by Jairo José da Silva, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Jairo José da Silva ISBN: 9783319630731
Publisher: Springer International Publishing Publication: August 22, 2017
Imprint: Springer Language: English
Author: Jairo José da Silva
ISBN: 9783319630731
Publisher: Springer International Publishing
Publication: August 22, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Advanced Maintenance Modelling for Asset Management by Jairo José da Silva
Cover of the book High Performance Computing in Science and Engineering ´15 by Jairo José da Silva
Cover of the book Development of New Radical Cascades and Multi-Component Reactions by Jairo José da Silva
Cover of the book Meta-Philosophical Reflection on Feminist Philosophies of Science by Jairo José da Silva
Cover of the book Entrepreneurship, Regional Development and Culture by Jairo José da Silva
Cover of the book Fission Neutrons by Jairo José da Silva
Cover of the book Space Charge Physics for Particle Accelerators by Jairo José da Silva
Cover of the book Modal Interval Analysis by Jairo José da Silva
Cover of the book Information Retrieval by Jairo José da Silva
Cover of the book Chaos, Complexity and Leadership 2017 by Jairo José da Silva
Cover of the book Dynamic and Stochastic Multi-Project Planning by Jairo José da Silva
Cover of the book Information Security Applications by Jairo José da Silva
Cover of the book Service Systems by Jairo José da Silva
Cover of the book The Evolution of Psychopathology by Jairo José da Silva
Cover of the book The Leishmaniases: Old Neglected Tropical Diseases by Jairo José da Silva
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy