|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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Multi-valued logic/Brandom: Definition designated: the fact that a statement has any truth value at all. Designation indicates what truth is - 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.
Multi- values = equivalence classes from logically derivable sentences - Designation = logical validity.
Expressive Vernunft Frankfurt 2000
Begründen und Begreifen Frankfurt 2001