Economics Dictionary of ArgumentsHome | |||
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General validity: within a calculus a formula that is satisfied by any interpretation (variable assignment with expressions for objects) is valid. See also satisfaction, satisfiability, interpretation._____________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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Logic Texts on Validity - Dictionary of Arguments
Salmon I 41 Validity/W.Salmon: affects arguments (= groups of statements), not individual statements. - - - Menne I 25 Menne: We become aware of laws through experience, but that does not mean that their validity is based on experience. - - - Hoyningen-Huene II 100 Propositional logic: Validity of conclusions of propositional logic: conditions: 1. The validity of the conclusion depends on the multiple occurrence of certain (partial) statements. II 101 2. The validity is dependent on certain junction points occurring in it. 3. The validity is independent of the sense of the (partial) statements. II 102 Def Truth transfer/Hoyningen-Huene: positive: the truth of the premises guarantees the truth of the conclusion. 4. The validity of the conclusion requires truth transfer, i.e. that a true premise conjunction never occurs together with a false conclusion. >Truth transfer, Predicate logic: II 229 Adequacy conditions 1. The validity of the conclusion depends on the multiple occurrence of predicates (which refer to the same range of individuals) and possibly the logical constants (from the same range of individuals). II 230 2. The validity depends on the quantifiers and possibly the connectives that occur. 3. The validity is independent of the sense. 4. Validity requires truth transfer. >Connective, >Sense, >Quantifier, >Logical constant. - - - Read III 71 Validity/Read: Problems: VsClassical logic: Classical logic does not succeed in including as valid those inferences whose correctness is based on the connections between non-logical expressions. If an object is round, then it follows that it is not square. But this conclusion is not valid thanks to its form, but thanks to its content. Logical Universe: Problem: one can find inferences whose invalidity can only be seen by looking at a larger universal range of definitions. ((s) See also Problems with the introduction of new connectives: >tonk.)_____________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. |
Logic Texts Me I Albert Menne Folgerichtig Denken Darmstadt 1988 HH II Hoyningen-Huene Formale Logik, Stuttgart 1998 Re III Stephen Read Philosophie der Logik Hamburg 1997 Sal IV Wesley C. Salmon Logic, Englewood Cliffs, New Jersey 1973 - German: Logik Stuttgart 1983 Sai V R.M.Sainsbury Paradoxes, Cambridge/New York/Melbourne 1995 - German: Paradoxien Stuttgart 2001 Sal I Wesley C. Salmon Logic, Englewood Cliffs, New Jersey 1973 German Edition: Logik Stuttgart 1983 Sal II W. Salmon The Foundations Of Scientific Inference 1967 SalN I N. Salmon Content, Cognition, and Communication: Philosophical Papers II 2007 Me I A. Menne Folgerichtig Denken Darmstadt 1997 Re III St. Read Thinking About Logic: An Introduction to the Philosophy of Logic. 1995 Oxford University Press German Edition: Philosophie der Logik Hamburg 1997 |