Economics Dictionary of Arguments

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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.
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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

Robert 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.

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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


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