
This edited collection bridges the foundations and practice of constructive mathematics and focusses on the contrast between the theoretical developments, which have been most useful for computer science (eg constructive set and type theories), and more specific efforts on constructive analysis, algebra and topology. Aimed at academic logicians, mathematicians, philosophers and computer scientists Including, with contributions from leading researchers, it is up-to-date, highly topical and broad in scope. This is the latest volume in the Oxford Logic Guides, which also includes: 41. J.M. Dunn and G. Hardegree: Algebraic Methods in Philosophical Logic 42. H. Rott: Change, Choice and Inference: A study of belief revision and nonmonotoic reasoning 43. Johnstone: Sketches of an Elephant: A topos theory compendium, volume 1 44. Johnstone: Sketches of an Elephant: A topos theory compendium, volume 2 45. David J. Pym and Eike Ritter: Reductive Logic and Proof Search: Proof theory, semantics and control 46. D.M. Gabbay and L. Maksimova: Interpolation and Definability: Modal and Intuitionistic Logics 47. John L. Bell: Set Theory: Boolean-valued models and independence proofs, third edition
This volume investigates the intersection of constructive mathematics and its practical applications, specifically addressing the gap between theoretical frameworks and their utility in analysis, algebra, and topology. Edited by Laura Crosilla and Peter Schuster, the collection compiles research from prominent scholars to evaluate how constructive set and type theories can be reconciled with the requirements of modern mathematical practice and computer science.
What You Will Find
Scope Limits
Experts recognize this collection as a specialized resource for academic logicians and computer scientists interested in the formal foundations of constructive mathematics. Readers frequently note the high level of technical density and the specialized nature of the research presented within the Oxford Logic Guides series.
Page Count:
370
Publication Date:
2005-01-01
Publisher:
Clarendon Press
ISBN-10:
0191524204
ISBN-13:
9780191524202
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