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 Multiscale Modeling and Uncertainty Quantification of Materials and Structures by Jairo José da Silva
Cover of the book The Bonn Handbook of Globality by Jairo José da Silva
Cover of the book The Fragility of Tolerant Pluralism by Jairo José da Silva
Cover of the book Handbook of Anticancer Drugs from Marine Origin by Jairo José da Silva
Cover of the book Big Data Factories by Jairo José da Silva
Cover of the book Crisis and Change in Post-Cold War Global Politics by Jairo José da Silva
Cover of the book Spirits in Transcultural Skies by Jairo José da Silva
Cover of the book Measures of Complexity by Jairo José da Silva
Cover of the book American Presidential Candidate Spouses by Jairo José da Silva
Cover of the book The Northern Sea Route as a Shipping Lane by Jairo José da Silva
Cover of the book Neurocytology by Jairo José da Silva
Cover of the book Caves and Karst of the Greenbrier Valley in West Virginia by Jairo José da Silva
Cover of the book Imaging of Soft Tissue Tumors by Jairo José da Silva
Cover of the book Digesting Femininities by Jairo José da Silva
Cover of the book Gypsies in Central Asia and the Caucasus 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