False triviality of truth

how Frege-Tarskian semantics misrepresents the difficulty of determining the appropriate strategic position for assertions

Abstract

As it stands, Frege’s semantic theory does not provide sufficient general keys for interpreting assertible sentences at different levels of complexity, such as (a) counterfactual-modal-intensional sentences and (b) extensional sentences. It is possible to devise that general key by adding non-classical parameters such as possible worlds, which allow sentences with a high degree of non-extensional complexity to occupy a trivial place in Tarski’s hierarchy as T-scheme-eligible substitutes. The paper argues that finding these non-false (if true) conditions under which complex propositions can be trivially treated as eligible T-scheme substitutes is not trivial. It is a challenge that requires several consistency improvements to deal with various competing extensions of the predicate “true”. We will conclude that Frege-Tarski’s semantic conception (enriched by non- classical presuppositions), misrepresents that challenge. It distorts the problem we face in daily practice to strengthen our assertion systems, plan successful assertion strategies, and protect our assertions from semantic value reversals. The true challenge for us is pragmatic and cannot confuse (1) complicated scientific and empirical conditions of assertiveness with (2) the rewardable scoring-conditions under which one learns to use sentences in his native language.