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Record Nr. |
UNISA996466586903316 |
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Autore |
Luckhardt Horst |
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Titolo |
Extensional Gödel functional interpretation : a consistency proof of classical analysis / / Horst Luckhardt |
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Pubbl/distr/stampa |
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Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1973] |
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©1973 |
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ISBN |
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Edizione |
[1st ed. 1973.] |
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Descrizione fisica |
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1 online resource (VI, 166 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 306 |
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Disciplina |
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Soggetti |
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Intuitionistic mathematics |
Proof theory |
Mathematical analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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and survey -- A formal system of classical analysis -- Elimination of extensionality -- Translation of classical into intuitionistic approximated theories -- Gödel's functional interpretation in the narrower sense -- The calculus T of the primitive recursive functionals -- Functional interpretation of classical arithmetic plus (ER)-qf, (AC)-qf and functional interpretation in the narrower sense of Heyting-analysis plus (ER)-qf, (MP), in T -- The calculus T?BR of the bar recursive functionals -- Functional interpretation of classical (AC)o-, (?AC)-analysis with (ER)-qf and functional interpretation in the narrower sense of Heyting-analysis plus (ER)-qf, (MP), in T?BR -- Further consequences from the functional interpretation of classical analysis -- Consistency proof by computation. Computation of T?BRo...o?? -- Generalized inductive definitions -- Generalization of bar induction BID and the inductive generation processes to trees over species -- A model for T?BR -- On the bar recursive model of classical analysis and the general bar induction over species. |
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