Philosophy Dictionary of ArgumentsHome | |||
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Implication: Implication in logic is a relationship between two statements, where the second statement follows from the first statement. It is symbolized by the arrow symbol (→). See also Konditional, Inference, Conclusion, Logic._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
Author | Concept | Summary/Quotes | Sources |
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G. Frege on Implication - Dictionary of Arguments
IV 58 Hypothetical Judgment/law/Frege: a hypothetical judgement consists of compound sentences and brings together two thoughts, not two judgments. E.g. "If a number is less than 1, then ...". Context: context is produced by an indeterminate part: e.g. a number. The subsentences have no sense in themselves (no complete thought). On the other hand: if the common thing is a name: e.g. "Napoleon, who recognized the danger, led ..." - here there are two complete thoughts. Hence the meaning, also of the subordinate clauses, is a truth value (true or false). ((s) "Napoleon..." is not a hypothetical judgment.) > relative clause, >Clauses._____________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. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
F I G. Frege Die Grundlagen der Arithmetik Stuttgart 1987 F II G. Frege Funktion, Begriff, Bedeutung Göttingen 1994 F IV G. Frege Logische Untersuchungen Göttingen 1993 |