Closure Spaces and Logic (Mathematics and Its Applications)

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9780792341109: Closure Spaces and Logic (Mathematics and Its Applications)

This book examines an abstract mathematical theory, placing special emphasis on results applicable to formal logic. If a theory is especially abstract, it may find a natural home within several of the more familiar branches of mathematics. This is the case with the theory of closure spaces. It might be considered part of topology, lattice theory, universal algebra or, no doubt, one of several other branches of mathematics as well. In our development we have treated it, conceptually and methodologically, as part of topology, partly because we first thought ofthe basic structure involved (closure space), as a generalization of Frechet's concept V-space. V-spaces have been used in some developments of general topology as a generalization of topological space. Indeed, when in the early '50s, one of us started thinking about closure spaces, we thought ofit as the generalization of Frechet V­ space which comes from not requiring the null set to be CLOSURE SPACES ANDLOGIC XlI closed(as it is in V-spaces). This generalization has an extreme advantage in connection with application to logic, since the most important closure notion in logic, deductive closure, in most cases does not generate a V-space, since the closure of the null set typically consists of the "logical truths" of the logic being examined.

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N.M. MARTIN
Editore: Springer (1996)
ISBN 10: 0792341104 ISBN 13: 9780792341109
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Descrizione libro Springer, 1996. Hardback. Condizione libro: NEW. 9780792341109 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0280671

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Norman M. Martin, Stephen Pollard
Editore: Kluwer Academic Publishers, United States (1996)
ISBN 10: 0792341104 ISBN 13: 9780792341109
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Descrizione libro Kluwer Academic Publishers, United States, 1996. Hardback. Condizione libro: New. 1996 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. This book examines an abstract mathematical theory, placing special emphasis on results applicable to formal logic. If a theory is especially abstract, it may find a natural home within several of the more familiar branches of mathematics. This is the case with the theory of closure spaces. It might be considered part of topology, lattice theory, universal algebra or, no doubt, one of several other branches of mathematics as well. In our development we have treated it, conceptually and methodologically, as part of topology, partly because we first thought ofthe basic structure involved (closure space), as a generalization of Frechet s concept V-space. V-spaces have been used in some developments of general topology as a generalization of topological space. Indeed, when in the early 50s, one of us started thinking about closure spaces, we thought ofit as the generalization of Frechet V- space which comes from not requiring the null set to be CLOSURE SPACES ANDLOGIC XlI closed(as it is in V-spaces).This generalization has an extreme advantage in connection with application to logic, since the most important closure notion in logic, deductive closure, in most cases does not generate a V-space, since the closure of the null set typically consists of the logical truths of the logic being examined. Codice libro della libreria LIE9780792341109

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N.M. Martin; S. Pollard
Editore: Springer (1996)
ISBN 10: 0792341104 ISBN 13: 9780792341109
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Descrizione libro Springer, 1996. Condizione libro: New. This item is printed on demand for shipment within 3 working days. Codice libro della libreria LP9780792341109

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Norman M. Martin, Stephen Pollard
Editore: Kluwer Academic Publishers, United States (1996)
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Descrizione libro Kluwer Academic Publishers, United States, 1996. Hardback. Condizione libro: New. 1996 ed.. Language: English . Brand New Book ***** Print on Demand *****.This book examines an abstract mathematical theory, placing special emphasis on results applicable to formal logic. If a theory is especially abstract, it may find a natural home within several of the more familiar branches of mathematics. This is the case with the theory of closure spaces. It might be considered part of topology, lattice theory, universal algebra or, no doubt, one of several other branches of mathematics as well. In our development we have treated it, conceptually and methodologically, as part of topology, partly because we first thought ofthe basic structure involved (closure space), as a generalization of Frechet s concept V-space. V-spaces have been used in some developments of general topology as a generalization of topological space. Indeed, when in the early 50s, one of us started thinking about closure spaces, we thought ofit as the generalization of Frechet V- space which comes from not requiring the null set to be CLOSURE SPACES ANDLOGIC XlI closed(as it is in V-spaces).This generalization has an extreme advantage in connection with application to logic, since the most important closure notion in logic, deductive closure, in most cases does not generate a V-space, since the closure of the null set typically consists of the logical truths of the logic being examined. Codice libro della libreria APC9780792341109

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Norman M. Martin, Stephen Pollard
Editore: Kluwer Academic Publishers, United States (1996)
ISBN 10: 0792341104 ISBN 13: 9780792341109
Nuovi Rilegato Quantità: 10
Print on Demand
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Descrizione libro Kluwer Academic Publishers, United States, 1996. Hardback. Condizione libro: New. 1996 ed.. Language: English . Brand New Book ***** Print on Demand *****. This book examines an abstract mathematical theory, placing special emphasis on results applicable to formal logic. If a theory is especially abstract, it may find a natural home within several of the more familiar branches of mathematics. This is the case with the theory of closure spaces. It might be considered part of topology, lattice theory, universal algebra or, no doubt, one of several other branches of mathematics as well. In our development we have treated it, conceptually and methodologically, as part of topology, partly because we first thought ofthe basic structure involved (closure space), as a generalization of Frechet s concept V-space. V-spaces have been used in some developments of general topology as a generalization of topological space. Indeed, when in the early 50s, one of us started thinking about closure spaces, we thought ofit as the generalization of Frechet V- space which comes from not requiring the null set to be CLOSURE SPACES ANDLOGIC XlI closed(as it is in V-spaces).This generalization has an extreme advantage in connection with application to logic, since the most important closure notion in logic, deductive closure, in most cases does not generate a V-space, since the closure of the null set typically consists of the logical truths of the logic being examined. Codice libro della libreria APC9780792341109

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Jackson, Martin; Pollard, S.
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Descrizione libro Springer, 1996. Hardcover. Condizione libro: New. This item is printed on demand. Codice libro della libreria INGM9780792341109

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N.M. Martin; S. Pollard
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Descrizione libro Condizione libro: New. This item is Print on Demand - Depending on your location, this item may ship from the US or UK. Codice libro della libreria POD_9780792341109

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Descrizione libro Kluwer Academic Publishers, 1996. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780792341109

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Norman M. Martin
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Descrizione libro Kluwer Academic Publishers, 1996. HRD. Condizione libro: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Codice libro della libreria IP-9780792341109

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N.M. Martin, S. Pollard
Editore: Springer (1996)
ISBN 10: 0792341104 ISBN 13: 9780792341109
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Descrizione libro Springer, 1996. Hardcover. Condizione libro: New. 1996. This item is printed on demand. Codice libro della libreria DADAX0792341104

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