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This edited collection bridges the foundations and practice of constructive mathematics and focuses on the contrast between the theoretical developments, which have been most useful for computer science (ie: constructive set and type theories), and more specific efforts on constructive analysis, algebra and topology. Aimed at academic logician, mathematicians, philosophers and computer scientists with contributions from leading researchers, it is up to date, highly topical and broad in scope.
This volume investigates the intersection of constructive mathematics, set theory, and type theory to establish more practicable foundations for modern mathematical analysis. The editors, Laura Crosilla and Peter Schuster, curate a collection of essays from leading researchers that examine the tension between abstract theoretical frameworks—often utilized in computer science—and the concrete application of constructive methods in algebra, topology, and analysis. The text argues for a more unified approach to constructive mathematics that bridges the gap between formal logic and applied mathematical practice.
What You Will Find
Experts identify this collection as a significant resource for academic logicians and computer scientists interested in the formal foundations of mathematics. Readers frequently note the technical density of the prose, which assumes a high level of familiarity with mathematical logic and set theory.
Page Count:
370
Publication Date:
2005-12-08
Publisher:
Clarendon Press
ISBN-10:
0198566514
ISBN-13:
9780198566519
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