Books > Science & Mathematics > Mathematics > Philosophy of mathematics
|
Buy Now
Mathematics and Its Applications - A Transcendental-Idealist Perspective (Hardcover, 1st ed. 2017)
Loot Price: R3,230
Discovery Miles 32 300
|
|
Mathematics and Its Applications - A Transcendental-Idealist Perspective (Hardcover, 1st ed. 2017)
Series: Synthese Library, 385
Expected to ship within 12 - 17 working days
|
Donate to Against Period Poverty
Total price: R3,250
Discovery Miles: 32 500
|
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
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.