Philosophy Dictionary of ArgumentsHome
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| Substitution: in a formula, a symbol can be substituted for another symbol under certain conditions. E.g. If a constant is substituted for a variable, a propositional function becomes a statement. See also Substitutability, Generality, Validity, Statements, Propositional functions, Fine-grained/coarse-grained._____________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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Christian Thiel on Substitution - Dictionary of Arguments
Thiel I 92 Substitution/Thiel: >Substitution rule: if you replace all equal letters with the same correct formula or another letter. >Separation rule: A,A > B >>B (?) So "if, then" are introduced by simple rules, negation of a statement ..+... def "designated formula".... "allocation". >modus ponens, >Introduction. I 95 Some of the formulas formed with the help of the newly added negation sign are not designated formulas. For example, one of the assignments of the formula ~~p > p is the expression (~~1) >1. Its value is calculated according to the tables as (~~1) x 1 = (~2) x 1 = 0 x 1 = 1 The assignment also receives 0 > (~~0) of the formula p > ~~p the value 0 x (~~0) = 0 x (~1) = 0 x 2 = 1. If the value is different from 0, there is no designated formula regarding our table. >Formulas._____________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. |
T I Chr. Thiel Philosophie und Mathematik Darmstadt 1995 |
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> Counter arguments against Thiel
> Counter arguments in relation to Substitution
Ed. Martin Schulz, access date 2024-04-18