Online research in philosophy

Quine’s criticism of the notion of analyticity applies, at best, to Carnap’s notion, not to those of Frege or Husserl. The failure of logicism is also the failure of Frege’s definition of analyticity, but it does not even touch Husserl’s views, which are based on logical form. However, some relatively concrete number-theoretic statements do not admit such a formalization salva veritate. A new definition of analyticity based not on syntactical but on semantical logical form is proposed and argued for.

Quine’s criticism of the notion of analyticity applies, at best, to Carnap’s notion, not to those of Frege or Husserl. The failure of logicism is also the failure of Frege’s definition of analyticity, but it does not even touch Husserl’s views, which are based on logical form. However, some relatively concrete number-theoretic statements do not admit such a formalization salva veritate. A new definition of analyticity based not on syntactical but on semantical logical form is proposed and argued for.

At the time that Quine wrote "Two Dogmas" an attack on analyticity was considered a simultaneous attack on the very idea of necessary truth. This all changed with Kripke's revival of a non-epistemic, non-linguistic notion of necessity. My paper discusses the question whether we can take Kripke one step further and free analyticity from its epistemic ties, thereby reinstating a notion of analyticity that is immune to Quine's attack, and compatible with his epistemic holism. I discuss this question by examining Tyler Burge's claim that truths of meaning depend on features of the external environment and are a posteriori. I argue that although Burge's construal of analyticity circumvents Quine's objections, it is not well-motivated philosophically and has problematic implications. Kripke's strategy with respect to necessity, I conclude, is not easily transferable to analyticity.

In this paper we define and study conditional problems and their degrees. The main result is that the class of conditional degrees is a lattice extending the ordinary Turing degrees and it is dense. These properties are not shared by ordinary Turing degrees. We show that the class of conditional many-one degrees is a distributive lattice. We also consider properties of semidecidable problems and their degrees, which are analogous to r.e. sets and degrees.

I discuss two independent topics concerning Michael Devitt's Coming To Our Senses. My discussion of the first topic, naturalism, is brief. My discussion of the second topic, analyticity, is divided into four subsections, the first of which examines the definition of analyticity and is by far the longest.

Quine’s paper “Two Dogmas of Empiricism” is famous for its attack on analyticity and the analytic/synthetic distinction. But there is an element of Quine’s attack that should strike one as extremely puzzling, namely his objection to Carnap’s account of analyticity. For it appears that, if this objection works, it will not only do away with analyticity, it will also do away with other semantic notions, notions that (or so one would have thought) Quine does not want to do away with, in particular, it will also do away with truth. I shall argue that there is, indeed, no way for Quine to protect truth against the type of argument he himself advanced in “Two Dogmas” against Carnap’s notion of analyticity. If he wants to keep his argument, Quine has to discard truth along with analyticity. At the end of the paper I suggest an interpretation of Quine on which he can be seen as having done just that.

Quine famously argued that analyticity is indefinable, since there is no good account of analyticity in terms of synonymy, and intensions are of no help since there are no intensions. Yet if there are intensions, the question still remains as to the right account of analyticity in terms of them. On the assumption that intensions must be admitted, the present paper considers two such accounts. The first analyzes analyticity in terms of concept identity, and the second analyzes analyticity in terms of the analysis relation. The first fails in light of possible counterexamples. The second is defended, both by considering test cases of intuitively clear analyticities, and by developing the account in light of possible counterexamples.

There seems to be something special about sentences like ‘all bachelors are unmarried’ and ‘red is a colour’. Philosophers have claimed that this is because they are analytic, where this is to say that they are true in virtue of meaning, and that anyone who understands one can know that it is true. Some have also claimed that the notion of analyticity can be used to solve problems in epistemology. However, in the last century the work of Quine and Putnam led many to doubt such claims, and to suspect that there is no analyticity, only an illusion of analyticity to be explained.

In this paper, we study the bi-isolation phenomena in the d.c.e. degrees and prove that there are c.e. degrees c₁ < c₂ and a d.c.e. degree d ∈ (c₁, c₂) such that (c₁, d) and (d, c₂) contain no c.e. degrees. Thus, the c.e. degrees between c₁ and c₂ are all incomparable with d. We also show that there are d.c.e. degrees d₁ < d₂ such that (d₁, d₂) contains a unique c.e. degree.

In an important recent discussion of analyticity, Paul Boghossian (1997)1 argues for the following three claims: (i) While Quine’s well-known arguments against analyticity do undermine one type of analyticity (what Boghossian calls metaphysical analyticity), they fail to undermine another type (what he calls epistemic analyticity). (ii) Epistemic analyticity explains the a prioricity of logic and perhaps even the a prioricity of conceptual truths.