## Philosophy Lexicon of Arguments | |||

Author | Item | Excerpt | Meta data |
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Neumann, John von Books on Amazon |
Ordinal Numbers | Thiel I 205 Ordinal numbers/Neumann/Thiel: Today, ordinal numbers are not only introduced differently than in Cantor and Dedekind, but are also defined differently. John v. Neumann: Axiomatic construction of the set theory. In the foundation of logic certain formulas are recognized as "excellent formulas". --- I 206 The rules allow us to form unreservedly new sentential connective-logical propositional schemas, in which we can recognize excellent ones and not a. But this does not provide us with a real overview of the sentences of the sentential connectives logic, nor a systematic insight into their connections. We must distinguish between the logical framework and the sentences themselves in an axiomatic structure. --- I 207 Axiomatization allows a potentially infinite set of sentences by representing them as a conclusion set from finitely many sentences. |
Neumann, John von T I Chr. Thiel Philosophie und Mathematik Darmstadt 1995 |

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Ed. Martin Schulz, access date 2017-04-28