BIBFRAME Work

Title

Mathematics and Its Applications

Type

  • Text
  • Monograph

Contribution

da Silva, Jairo José (author )

Subject

Language

Classification

Content

Summary

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.

Table of Contents

1. The applicability of mathematics in science: a problem? -- 2. Form and Content. Mathematics as a formal science -- 3. Mathematical ontology: what does it mean to exist? -- 4. Mathematical structures: what are they and how do we know them? -- 5. Playing with structures: the applicability of mathematics -- 6. How to use mathematics to find out how the world is -- 7. Logical, epistemological, and philosophical conclusions.

Authorized Access Point

da Silva, Jairo José. Mathematics and Its Applications

Admin Metadata

  • Date: 2026-09-11T20:15:44.732136+00:00
  • Agent: cbc
  • Status: c
  • Derived from: 21683816

Admin Metadata

  • Date: 2026-09-11
  • Cataloger id: Unknown
  • Description level: http://id.loc.gov/ontologies/bibframe-2-6-0/
  • Description language: eng
  • Description authentication: pcc

Alternative Formats

Blue Core Actions

  • Load to Marva Marva loads Instances, not Works. Open one of this Work's Instances and load that into Marva instead.
  • Load to Sinopia
  • Export to Catalog Only Instances can be exported. Open one of this Work's Instances and export that instead.