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. | |||
Author | Concept | Summary/Quotes | Sources |
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R. Brandom on Substitution - Dictionary of Arguments
I 454 Substitution/Substitutability/Identification/Meaning/Frege/Brandom: important: (t): "the man to which Hans referred with "such a hard head" and "the meaning of (t)" must be mutually substitutable. I 458 Not substitutable: demonstratives and pronouns. >Pronouns, >Demonstratives. I 523 Substitution/Brandom: three possible roles of expressions in the context of Substitution: 1) an expression can be substituted 2) an expression can be substituted into it 3) substitutional frame - Substitution: fundamental Frame: derived - frames are predicates - cannot be substituted themselves like singular terms - but can be exchanged. I 525 Frame: is itself a result of substitutions (derived). I 526 Substitution inference: connects two sentences as a premise and conclusion: "Franklin invented the bifocals"> "The Postmaster General ..."- the singular terms are material, but do not contain the predicate, because that can be replaced by "went for a walk". I 943 Substitution of singular terms: reversible - predicates: not reversible. >Singular terms, >Predicates. I 528 Substitution/Brandom: singular term: substitution inferences are always symmetrical (equi-classes). Predicate: substitution inference can be asymmetric. stronger/weaker: something is a dog/a mammal - (s) Singular Term/black: always predicates - from "Franklin .." to "American ...". No Substitution inference, because here we have one singular term, one general term. I 611 Anybody/everybody/someone/Brandom: Problems with substitution. >Generalization, >Generality, >Reference._____________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. |
Bra I R. Brandom Making it exlicit. Reasoning, Representing, and Discursive Commitment, Cambridge/MA 1994 German Edition: Expressive Vernunft Frankfurt 2000 Bra II R. Brandom Articulating reasons. An Introduction to Inferentialism, Cambridge/MA 2001 German Edition: Begründen und Begreifen Frankfurt 2001 |