## Philosophy Lexicon of Arguments | |||

Basic Concept: theories differ in what terms they choose as the basic concepts, which are not further defined. A definition of these concepts within the theory would be circular and may cause > paradoxes. E.g. The theory of mind by G. Ryle is based on the concept of disposition, other theories presuppose mental objects. See also paradoxes, theories, terms, definitions, definability, systems, explanations. | |||

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Books on Amazon |
Berka I 59 Axioms/Logic/Berka: for methodological reasons, systems with at least two basic concepts are preferred. (E.g. The pairs of functors N C, A N, or K N. In general, one uses the one by Hilbert/Bernays (1934) today, with five basic concepts. N.B.: because of the 5 basic concepts it works without definitions. I. Formulas of Implication CpCqp - CCpCCpqCpq - CCpqCCqrCpr II. Formulas of Conjunction CKpqp - CKpqq - CCpqCCprCpKqr III. Formulas of Alternatives (Disjunction) CpApq - CqApq - CCprCCqrCApqr IV. Formulas of equivalence CEpqCpq - CEpqCqp - CCpqCCqpEpq --- I 60 V. Formulas of Negation CCpqCNqNp - CPNNp - CNNpp |
Brk I K. Berka/L. Kreiser Logik Texte Berlin 1983 |

> Counter arguments against **Hilbert**

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Ed. Martin Schulz, access date 2017-05-27