Philosophy Dictionary of ArgumentsHome
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| Introduction, philosophy: the introduction of objects establishes rules for the use of linguistic expressions for the objects, not a determination or description of these objects. See also definitions, use, language, expressiveness, localization._____________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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Nuel Belnap on Introduction - Dictionary of Arguments
Brandom II 94 Def "tonk"/logical particle/Belnap: 1. Rule: licenses the transition from p to p tonk q for any q. 2. Rule: licenses the transition from p tonk q to q. Thus we have a "network map for inferences": any possible conclusion is allowed! >Definitions, >Definability, >Conclusions, >Inferences, >Logical constants, >Connections. II 93 Conservativity/Conservative Expansion/Dummett: If a logical constant is introduced by introduction and elimination rules, we may call it a conservative extension of language. >Conservativity. II 94 For example, this might be true of Belnaps "tonk": the introduction rule of the disjunction and the elimination rule of the conjunction. >Disjunction, >Conjunction. PriorVsBelnap/PriorVsGentzen: this is the bankruptcy of definitions in the style of Gentzen. BelnapVsPrior: if one introduces logical vocabulary, one can restrict such definitions by the condition that the rule does not allow inferences with only old vocabulary that was not already allowed before the introduction of the logical vocabulary. (Conservative expansion). Such a restriction is necessary and sufficient. >Expansion, >Sufficiency. Brandom: the expressive analysis of the logical vocabulary provides us with a deep reason for this condition: only in this way the logical vocabulary can perform its expressive function. The introduction of new vocabulary would allow new material inferences without the constraining condition (conservativity) and would thus change the contents correlated with the old vocabulary. >Vocabulary, >Content, cf. other entries for >"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. |
Beln I N. Belnap Facing the Future: Agents and Choices in Our Indeterminist World Oxford 2001 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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> Counter arguments against Belnap
> Counter arguments in relation to Introduction
Ed. Martin Schulz, access date 2024-04-16