Author: Bryn Mawr CollegePublisher:
ISBN:
Category :
Languages : en
Pages : 116
Book Description
Contribution from the Department of Mathematics
Author: Contribution from the Department of Mathematics ...
Author: Massachusetts Institute of Technology. Dept. of MathematicsPublisher:
ISBN:
Category :
Languages : en
Pages : 368
Book Description
Mathematics and Scientific Representation
Author: Christopher PincockPublisher: Oxford University Press
ISBN: 0190208570
Category : Philosophy
Languages : en
Pages : 352
Book Description
Mathematics plays a central role in much of contemporary science, but philosophers have struggled to understand what this role is or how significant it might be for mathematics and science. In this book Christopher Pincock tackles this perennial question in a new way by asking how mathematics contributes to the success of our best scientific representations. In the first part of the book this question is posed and sharpened using a proposal for how we can determine the content of a scientific representation. Several different sorts of contributions from mathematics are then articulated. Pincock argues that each contribution can be understood as broadly epistemic, so that what mathematics ultimately contributes to science is best connected with our scientific knowledge. In the second part of the book, Pincock critically evaluates alternative approaches to the role of mathematics in science. These include the potential benefits for scientific discovery and scientific explanation. A major focus of this part of the book is the indispensability argument for mathematical platonism. Using the results of part one, Pincock argues that this argument can at best support a weak form of realism about the truth-value of the statements of mathematics. The book concludes with a chapter on pure mathematics and the remaining options for making sense of its interpretation and epistemology. Thoroughly grounded in case studies drawn from scientific practice, this book aims to bring together current debates in both the philosophy of mathematics and the philosophy of science and to demonstrate the philosophical importance of applications of mathematics.
The American Mathematical Monthly
Author: Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 556
Book Description
Includes section "Recent publications."
Bryn Mawr College Calendar
Author: Bryn Mawr CollegeContributions to American Educational History
Author: Herbert Baxter AdamsPublisher:
ISBN:
Category : Education
Languages : en
Pages : 530
Book Description
New Foundations for Physical Geometry
Author: Tim MaudlinPublisher:
ISBN: 0198701306
Category : Mathematics
Languages : en
Pages : 374
Book Description
Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
An Historical View of the Progress of the Physical and Mathematical Sciences
Author: Baden PowellPublisher:
ISBN:
Category : Science
Languages : en
Pages : 418
Book Description
Mathematical Physical Papers 6
Author: KelvinPublisher: CUP Archive
ISBN: 9780521054744
Category : Mathematics
Languages : en
Pages : 402
Book Description
Mathematics for the Physical Sciences
Author: James B. SeabornPublisher: Springer Science & Business Media
ISBN: 1468492799
Category : Science
Languages : en
Pages : 250
Book Description
The book provides a bridge from courses in general physics to the intermediate-level courses in classical mechanics, electrodynamics and quantum mechanics. The author bases the mathematical discussions on specific physical problems to provide a basis for developing mathematical intuition.