Buch, Englisch, Band 306, 166 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 271 g
Reihe: Lecture Notes in Mathematics
A Consistensy Proof of Classical Analysis
Buch, Englisch, Band 306, 166 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 271 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-06119-9
Verlag: Springer Berlin Heidelberg
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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.
