Since (Two) is a logical consequence of 0 [not equal to] 0, then according to our logicist (Two) is itself analytic and logically true, provided that analyticity
and logical truth are closed under logical consequence, or at least the introduction rule for the first-order existential quantifier.
Quine was right that analyticity
cannot bear the burden of grounding modality, since analyticity
depends on meaning or some suitable substitute which must already possess a prior modal character, if it is to do justice to something as simple as a stipulative definition.
T Siu, Analyticity
of sets associated to Lelong numbers and the extension of closed positive currents, Invent.
For our purposes we need some suitable concepts of analyticity
of functions of a quaternion variable.
Wolenski comes up with a supposed reductio of the claim that (T)-equivalences are analytic (234-236); but the argument presupposes that one can push the analyticity
claim into the object-language and that derivability distributes over equivalences, which need not hold in non-standard logics.
Related topics I will explore include Quine's coherence objection to analyticity
, his naturalistic conception of philosophy, his treatment of language as a physical phenomenon, and his intention to derive meaning holism from confirmation holism and verificationism.
where [OMEGA] is inside the analyticity
domain of the integrand and encircles the origin and
Due to analyticity
of F, these manifolds are analytic .
n]) for n [right arrow] [infinity], where [KAPPA] is the sum of the semimajor and semiminor axis lengths of f's ellipse of analyticity
(in both references the argument is given for the Chebyshev extrema and not the Chebyshev zeros, but asymptotically this does not make any difference).
Topics include the theory of manifolds, including descriptions of smoothness, differentiability and analyticity
, the area of a figure on the plane and the volume of a solid body in space including proof of the Bolyai- Gerwein theorem about scissors-congruent polynomials and Dehn's solution of the Third Hilbert Problem.
Questions of analyticity
concern the sense or mode of presentation associated with normative terms.
The need for a nominalistic reduction of meanings, the problem of error (stemming from the assumption that one can "read off" the correct extension of a predicate from its meaning constituting property), analyticity
, (substantial) a priori knowledge, compositionality, and the normative status of meaning--all these issues and more, which have seemed so problematic to so many philosophers for so long, simply dissolve on contact with the deflationary air.