The Foundations of Intuitionistic Mathematics: Especially in Relation to Recursive FunctionsNorth-Holland Publishing Company, 1965 - 206 strani |
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Zadetki 1–3 od 15
Stran 12
... formula is closed if it contains no variable free ( and following Tarski , a closed formula is a sentence ) , otherwise open . A formula is prime if it contains no logical symbol . · · , απ are LEMMA 3.1 . If a1 , ... , ak are number ...
... formula is closed if it contains no variable free ( and following Tarski , a closed formula is a sentence ) , otherwise open . A formula is prime if it contains no logical symbol . · · , απ are LEMMA 3.1 . If a1 , ... , ak are number ...
Stran 15
... prime formula of the present system is an equation s = t between terms , it is immediate by substitution in IM * 158 p . 192 that PVP for each prime formula . Using also * 150 , * 151 p . 191 and Remark 1 ( b ) p . 134 , likewise EV ¬E ...
... prime formula of the present system is an equation s = t between terms , it is immediate by substitution in IM * 158 p . 192 that PVP for each prime formula . Using also * 150 , * 151 p . 191 and Remark 1 ( b ) p . 134 , likewise EV ¬E ...
Stran 27
... formula , we mean a ( prime ) formula of the form t = 0 where t = 0V t = 1 ( equivalently , t≤1 ) . The following result * 14.1 ( by * 11.2 , * 10.3 ) with * 10.5 shows that any prime formula t1 = t2 is equivalent to a standard formula ...
... formula , we mean a ( prime ) formula of the form t = 0 where t = 0V t = 1 ( equivalently , t≤1 ) . The following result * 14.1 ( by * 11.2 , * 10.3 ) with * 10.5 shows that any prime formula t1 = t2 is equivalent to a standard formula ...
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The Foundations of Intuitionistic Mathematics: Especially in Relation to ... Stephen Cole Kleene,Richard Eugene Vesley Prikaz kratkega opisa - 1965 |
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2x+p a₁ abbreviate Amsterdam apply Assume for 3-elim Assume Seq(a Axiom Schema B₁ bar theorem Brouwer's principle choice sequences classical Clause consistency proof containing free continuum contradicting Corollary deduce elim equivalent finite follows function symbols function variables functor Gödel Hence Heyting inductive definition interpretation introd introduced intuitionism intuitionistic analysis intuitionistic formal system intuitionistic logic intuitionistic mathematics intuitionistic predicate calculus intuitionistic system Kleene Kreisel Lemma metamathematical natural numbers notation number-theoretic functions numeralwise express omitting one-place number-theoretic functions Ɔ A(a partial recursive function past secured Postulate Group preparatory to 3-elim prime formula primitive recursive function prior to 3-elim proof propositional prove quantifiers real numbers realization function realizes-Y recursive predicate reductio ad absurdum refute Remark result sequence numbers Similarly special recursive Spr(o ẞER SUBCASE 1.1 substitution term Thence unprovable V-elim V-introd Va[Seq(a vertex VxA(x αεσ αι