Philosophy Dictionary of ArgumentsHome
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| Conjunction: In logic, a conjunction is an operator that takes two propositions as input and produces a single proposition as output. The output proposition is true if and only if both of the input propositions are true. The symbol for conjunction is usually "∧" (or "and" in natural language). See also Disjunction._____________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. | |||
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P. Geach on Conjunction - Dictionary of Arguments
I 17 Conjunction/Aristotle: Problem: white and man can be composed to white man. - That's fine. But: not "good" and "cobbler". Compound noun: cannot occur as the subject of a predication: E.g. lawyer-politician: then neither: "Every S is a scoundrel" nor "Some S are honest" as conjunction of predications, by first inserting "lawyer" and then "politician". >Predication, >Attribution, >Predicates, >Properties, >Statements. But this does not show that a conjunction is not a sentence. >Sentences/Geach. False: "God and Plato are two wise men". Solution/Geach: You do not have to decide whether none or "not all ..." occur in a class. Conjunction: is not a pair of sentences! E.g. "Smith hears that Browns wife is unfaithful." Negation of the conjunction: ~(p u q) = (plq), not both. I 258 Conjunction/Sentence/Frege: "p u q" is a sentence that is different from "p" and "q" alone. Mill: ditto: otherwise "a group of horses" as "a kind of horse". But not: E.g. "Jim is convinced and his wife is unfaithful." Solution: "the fact that..." is always to be split as a pair of statements. >Facts/Geach._____________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. |
Gea I P.T. Geach Logic Matters Oxford 1972 |
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> Counter arguments against Geach
> Counter arguments in relation to Conjunction
Ed. Martin Schulz, access date 2024-04-18