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Set theory INC^# based on intuitionistic logic with restricted modus ponens rule - Softcover

 
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  • PublisherLAP LAMBERT Academic Publishing
  • Publication date2021
  • ISBN 10 6203925357
  • ISBN 13 9786203925357
  • BindingPaperback
  • LanguageEnglish
  • Number of pages60

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Foukzon, Jaykov
Published by LAP LAMBERT Academic Publishing, 2021
ISBN 10: 6203925357 ISBN 13: 9786203925357
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Foukzon, Jaykov
Published by LAP LAMBERT Academic Publishing, 2021
ISBN 10: 6203925357 ISBN 13: 9786203925357
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Foukzon, Jaykov
Published by LAP LAMBERT Academic Publishing, 2021
ISBN 10: 6203925357 ISBN 13: 9786203925357
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Jaykov Foukzon
ISBN 10: 6203925357 ISBN 13: 9786203925357
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this book set theory INC# based on intuitionistic logic with restricted modus ponens rule is proposed. It proved that intuitionistic logic with restricted modus ponens rule can to safe Cantor naive set theory from a triviality Considering only pure sets, the naive set comprehension principle says, for anycondition, that there is a set containing all and only the sets satisfying this condition. Infirst-order logic, this can be formulated as the following schematic principle, where may be any formula in whichy does not occur freely: yxx y . 1.1 Russell's paradox shows that the instance obtained by letting be x x isinconsistent in classical logic. One response to the paradox is to restrict naive setcomprehension by ruling out this and other problematic instances: only for each of somespecial conditions is it claimed there is a set containing all and only the sets satisfyingthe condition. 60 pp. Englisch. Seller Inventory # 9786203925357

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Jaykov Foukzon
Published by LAP LAMBERT Academic Publishing, 2021
ISBN 10: 6203925357 ISBN 13: 9786203925357
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this book set theory INC# based on intuitionistic logic with restricted modus ponens rule is proposed. It proved that intuitionistic logic with restricted modus ponens rule can to safe Cantor naive set theory from a triviality Considering only pure sets, the naive set comprehension principle says, for anycondition, that there is a set containing all and only the sets satisfying this condition. Infirst-order logic, this can be formulated as the following schematic principle, where may be any formula in whichy does not occur freely: yxx y . 1.1 Russell's paradox shows that the instance obtained by letting be x x isinconsistent in classical logic. One response to the paradox is to restrict naive setcomprehension by ruling out this and other problematic instances: only for each of somespecial conditions is it claimed there is a set containing all and only the sets satisfyingthe condition. Seller Inventory # 9786203925357

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Jaykov Foukzon
Published by LAP LAMBERT Academic Publishing, 2021
ISBN 10: 6203925357 ISBN 13: 9786203925357
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Foukzon JaykovJaykov Foukzon (born October I, 1954). Nationality: Soviet Union. Education: Moscow State University (1976). Doctoral adviser: Lev Pontryagin. Soviet and Russian mathematician and physicist.Institutions: Russian Space R. Seller Inventory # 485142424

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