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Multi-valued logic: a logic that assumes more than the two classical truth values true and false. There are trivalent logics with possibility or indeterminacy as a third value. For tetravalent logics there are e.g. ¼ or ¾ as additional values that introduce a gradation in the rating. In the case of infinite-valued logics, the truth values can be interpreted as probability values.
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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 Multi-valued Logic - Dictionary of Arguments

I 487
Multi-valued logic/Brandom: Definition designated: the fact that a statement has any truth value at all. >Truth values
.
Designation indicates what truth is. >Truth.
designated: requires a definition on the assertion.
Definition Multi-valued: embedded content - ((s) a particular one of several possible truth values). Interpretation: assigns two types of value:
a) whether designated,
b) which multi- value.
Standard situation: it is defined which multi-values are designated.
Designation value: everything that plays a role for pragmatic significance of free-standing sentences. bottom-up: Designation > formal validity
Basic principle: the substitution never changes with the same multi-value designation.
I 488
Multi-values ​​= equivalence classes from logically derivable sentences - Designation = logical validity.
>Validity.

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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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