In this dissertation on Hilary Putnam's philosophy, I investigate his development regarding meaning and necessity, in particular mathematical necessity. Putnam has been a leading American philosopher since the end of the 1950s, becoming famous in the 1960s within the school of analytic philosophy, associated in particular with the philosophy of science and the philosophy of language. Under the influence of W.V. Quine, Putnam challenged the logical positivism/empiricism that had become strong in America after World War II, with influential exponents such (...) as Rudolf Carnap and Hans Reichenbach. Putnam agreed with Quine that there are no absolute a priori truths. In particular, he was critical of the notion of truth by convention. Instead he developed a notion of relative a priori truth, that is, a notion of necessary truth with respect to a body of knowledge, or a conceptual scheme. Putnam's position on necessity has developed over the years and has always been connected to his important contributions to the philosophy of meaning. I study Hilary Putnam's development through an early phase of scientific realism, a middle phase of internal realism, and his later position of a natural or commonsense realism. I challenge some of Putnam’s ideas on mathematical necessity, although I have largely defended his views against some other contemporary major philosophers; for instance, I defend his conceptual relativism, his conceptual pluralism, as well as his analysis of the realism/anti-realism debate. (shrink)

The project of this chapter is to explore some relations between the rule-following considerations and radical interpretation. I spell out the sense in which the rule-following considerations are about meaning determination, and investigate whether the principle of meaning determination used in the early Davidson's account of meaning determination - the principle of charity - provides an answer to what I shall call "Wittgenstein's paradox". More precisely, I am interested in one aspect of the paradox: the "problem of objectivity". My question (...) then is whether meaning, as determined by charity, is such that the correctness of the applications of meaningful expressions is an objective matter. After running us through the basics of the radical interpretation account of meaning determination I argue that the principle of charity does seem to fall prey to the problem of objectivity. After unsuccessfully trying to rescue objectivity by means of Lewisian natural properties, this is the verdict I in the end endorse. (shrink)

This paper presents a new reconstruction of Wittgenstein’s famous (and controversial) rule-following arguments. Two are the novel features offered by our reconstruction. In the first place, we propose a shift of the central focus of the discussion, from the general semantics and the philosophy of mind to the philosophy of mathematics and the rejection of the notion of a function. The second new feature is positive: we argue that Wittgenstein offers us a new alternative notion of a rule (to replace (...) the rejected functions), a notion reminiscent of Category Theory’s notion of a morphism. (shrink)

The concept of a rule that primarily interests Wittgenstein is one that is central to our understanding of 'what is possible before all new discoveries and inventions'. Wittgenstein's investigations of the concept of a rule run 'criss‐cross in every direction'. As Wittgenstein points out, 'any interpretation still hangs in the air along with what it interprets, and cannot give it any support'. Like our inner mental picture of a cube, what we think of as an interpretation of a rule doesn't (...) by itself predetermine the steps that accord with the rule it supposedly interprets. In his great work, Philosophical Investigations, Wittgenstein aims both to uncover the sources of these difficulties and to show his readers how to overcome them. In particular, he aims to expose the emptiness of tempting philosophical explanations of the notion of grounds for correct continuation of a rule. (shrink)