SEMIOTIC IMPLICATION AS AN ENTHYMEMATIC IMPLICATION: SEMIOTIC, MATERIAL AND LOGICAL VALIDITY
SEMIOTIC IMPLICATION AS AN ENTHYMEMATIC IMPLICATION: SEMIOTIC, MATERIAL AND LOGICAL VALIDITY

Summary/Abstract: In the paper I explore semiotic implication in the context of contemporary debates on enthymemes. The concept is introduced in “The Origin of Semiotic Validity ––Peirce and Aristotle on Reasoning by Signs” (Trajkovski, forthcoming 2024a) as the first order implication that states the semiotic relationship between its predicates. Semiotic implication is related to semiotic validity. The latter is developed through a comparative analysis of Aristotle’s concept of enthymemes as inferences through signs and C.S. Peirce’s attempts to define deduction, abduction and induction in terms of index, icon and symbol.I juxtapose semiotic implication with intuitionistic implication which is claimed to be enthymematic (Anderson&Belnap, 1961). I argue that semiotic implication is enthymematic in a complementary sense. I compare semiotic validity with material goodness. The latter is employed in the claim that the inference from “It is raining” to “The streets will be wet” is not an enthymeme but a materially good inference (Brandom, 2000). I argue that it is an enthymeme which assumes a semiotic implication.

• Details
• Contents