Philosophy Dictionary of ArgumentsHome
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| Inserting: in a formula an icon can be replaced under certain conditions by another icon. E.g. inserting a constant for a variable will make a propositional function become a sentence. See also substitutability, substitution, validity, statements, propositional functions._____________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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H. Wessel on Substitution (Insertion) - Dictionary of Arguments
I 202f Rule of substitution/insertion/QL: 1. In A i is replaced only at the places where it occurs freely 2. If i in A is in an area where a quantifier binds the variable h, no expression may be used for i which contains h as free variable. ((s) E.g. ("h)(P(h)ui): here i should not mean "h u y") - "everything I own are bicycles and also a bike ... " E.g. Wessel: from A follows AiA: A: "x is born later than 1930"> "x is less than 100 years old" - if i would occur free in the assumptions of the proof then wrong: "all people are born later than in 1930". >Free variable, >Bound variable, >Variables, >Quantification, >Levels/order, >Introduction, >Universal quantification, >Existential quantification._____________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. |
Wessel I H. Wessel Logik Berlin 1999 |
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> Counter arguments against Wessel
> Counter arguments in relation to Substitution (Insertion)
Ed. Martin Schulz, access date 2024-04-28