The book provides a historical and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas as well as points out various applications of the semantic theory of truth to philosophical (...) problems. (shrink)

Históricamente, en los principales análisis filosóficos sobre el concepto de ‘verdad’ estuvo implícita lo que hoy se conoce como la teoría correspondentista de la verdad, la cual puede ser trazada desde Aristóteles hasta Immanuel Kant. A principios del siglo XIX, los detractores de la teoría correspondentista de la verdad comenzaron a argumentar, entre otras cosas, que esta postura es oscura, demasiado estrecha y autocomplaciente o argumentativamente circular. No obstante, en el ámbito científico algunos defensores de ciertas posturas realistas de la (...) ciencia han considerado que la verdad es la meta cognoscitva más importante de la actividad científica. Este estudio se realizó para establecer la plausibilidad de este argumento realista. Mediante el análisis de la validez de algunos argumentos de tipo ontológico, semántico y epistémico propuestos por algunos defensores de distintas versiones del llamado ‘Realismo Científico’, con los que se intenta relacionar el éxito empírico y predictivo de las mejores teorías científicas con la verdad, se muestra que, desde un punto de vista lógico, parece difícil confirmar que tales teorías nos proporcionen conocimiento confiable del mundo natural. Se sugiere que los científicos no son agentes confirmadores; sino agentes probabilísticos, esto es, agentes que buscan calcular la probabilidad con la que un hacedor de verdad convierte en verdadero a un portador de verdad con el que la ciencia comunica sus resultados. (shrink)

The revisionary metaphysician seemingly faces a seriously unfortunate dilemma where she is forced to choose between the Scylla of too little regimentation and the Charbydes of too much. Many take this to be an impossible dilemma, and regard it as a reductio against the revisionary framework itself. In this paper, I argue that the dilemma is not necessarily impossible. To be justified, ontological theorising must be regimented just enough. To escape the dilemma, therefore, the revisionary metaphysician must, to be able (...) to answer the question: -/- Why should one hold that the world is a world of tropes? -/- first answer another question: -/- Can revisionary theorising be regimented just enough? -/- I will address both these questions in the order here indicated. I will suggest that the now popular truthmaker theory might, if added to a revisionary framework, offer the resources necessary to obtain just the right amount of regimentation for its revisionary ontological conclusions to be justified. The world is a world of tropes if (minimally) tropes can fulfil their truthmaking function. That tropes can fulfil their truthmaking function only tells us that the world could be a world of tropes, it does not tell us why we should prefer a theory of tropes as truthmakers to a theory of, say, states of affairs, however. I therefore end the paper with a discussion of the limits of theory comparison in revisionary ontology. (shrink)

The main purpose of the paper concerns the question of the existence of hard mathematical facts as truth-makers of mathematical sentences. The paper defends the standpoint according to which hard mathematical facts do not exist in semantic models of mathematical theories. The argumentative line in favour of the defended thesis proceeds as follows: slingshot arguments supply us with some reasons to reject various ontological theories of mathematical facts; there are two ways of blocking these arguments: through the rejection of the (...) principle of extensionality for individual terms or through the rejection of the principle of Wittgenstein; the first way cannot be accepted because it leads to the practice of softening mathematical facts; the second way, called fine-graining facts, cannot be accepted because it also results in the practice of softening facts. Hence, only soft mathematical facts can be introduced into semantic models of mathematical theories. Because they should be rather interpreted as mental representations of mathematical objects, they no longer satisfy the semantic role of truth-makers in relation to mathematical sentences. The argument formulated in the paper is based on the analysis of mathematical extensions of the basic non-Fregean logic. Sixty-two definitions of potential fact-identity connectives are also presented. The paper's conclusion may be interpreted as undermining the situational paradigm of building semantics for mathematical languages. (shrink)

The paper presents a new argument supporting the ontological standpoint according to which there are no mathematical facts in any set theoretic model of arithmetical theories. It may be interpreted as showing that it is impossible to construct fact-arithmetic. The importance of this conclusion arises in the context of cognitive science. In the paper, a new type of slingshot argument is presented, which is called hyper-slingshot. The difference between meta-theoretical hyper-slingshots and conventional slingshots consists in the fact that the former (...) are formulated in the semantic meta-language of mathematical theories without the use of the iota-operator or the lambda-operator as the abstractor, whereas the latter require for their expression at least one of these non-standard term-operators. Hyper-slingshots implement simpler language tools in comparison with those used in conventional slingshots. (shrink)

This paper argues for a rearticulation of the theory of truthmaking within pragmatism. The concept of truthmaking has usually been employed by metaphysical realists, but it can be reinterpreted in a pragmatist manner, following both classical and more recent pragmatists’ ideas on the “making of truth” as a process within human experience and world-categorization. Thus, a pragmatist criticism of metaphysical realism can be extended to the core areas of realist metaphysics, including the truthmaking theory.