## Philosophy Lexicon of Arguments | |||

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Books on Amazon |
Berka I 405f Conclusion/Entailment/Formal/Everyday Language/Tarski: the formal one does not coincide with the everyday language one - E.g. A0: 0 has the given property P - A1: 1 has the given property P, etc. -An: n has the given property P - with normal rules of inference it is impossible to prove the following proposition with this: A: Every natural number has the given property P - Solution: new rule of inference: infinite induction - Problem: infinite - Solution: provability rather than actual evidence. Berka I 407 Inference/Entailment/Gödel: Problem: statements can be constructed that follow in the usual sense from the sentences of a theory, but which cannot be proven with the rules of inference Berka I 409 Def Logical Conclusion/Tarski: the statement X logically follows from the statements of the class K iff. each model of class K is at the same time a model of the statement X. I 410 Def of the logical conclusion has to do with the division into logical and extra-logical concepts - which is arbitrary. _____________ Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. |
Tarsk I A. Tarski Logic, Semantics, Metamathematics: Papers from 1923-38 Indianapolis 1983 Brk I K. Berka/L. Kreiser Logik Texte Berlin 1983 |

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Ed. Martin Schulz, access date 2017-09-22