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In the paper we discuss criticisms against David Armstrong's general theory of truthmaking by Gonzalo Rodriguez-Pereyra, Peter Schulte and Benjamin Schnieder, and conclude that Armstrong's theory survives these criticisms. Special attention is given to the problems concerning Entailment Principle, Conjunction Thesis, Disjunction Thesis and to the notion of explanation. Keywords Truthmakers Á Truthmaking Á Entailment principle Á Disjunction thesis Á Conjunction thesis 1 Disjunction Thesis and tautologies Let us have the following definitions: Standard truthmaking theory (STT): we grant this title to David Armstrong's general theory of truthmaking as presented in chapter 2 of his (2004). We do not discuss his specific theory of truthmakers for particular classes of truths although we may, for the sake of illustration, refer to some details of this specific theory as presented in full in Armstrong's (1997) and (2004). Entailment principle (EP): 'Suppose that T is a truthmaker for proposition p. Suppose further that p entails proposition q, with the exact force of 'entails' subject to discussion.

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This paper is an attempt to show that the subvaluation theory is not a good theory of vagueness. It begins with a short review of supervaluation and subvaluation theories and procedes to evaluate the subvaluation theory. Subvaluationism shares all the main shortcomings of supervaluationism. Moreover, the solution to the sorites paradox proposed by subvaluationists is not satisfactory. There is another solution which subvaluationists could avail themselves of, but it destroys the whole motivation for using a paraconsistent logic and is not different from the one offered by supervaluationism.