Horwich (Mind 123(491), 2014) has argued that only someone with inflationary tendencies could feel inclined to endorse truth relativism. In doing so, he argues deflationism about entails the denial of If sound, Horwich’s argument entail relativism is incompatible any conception our ordinary predicate according which there some sort equivalence between a ground-language claim p and corresponding...

gadamer’s critique of methodologism is one of the fundamental teachings of his philosophical hermeneutics. gadamer sees truth much beyond the ability of method to grasp it completely. he criticizes the exclusive restriction of truth in methodical processes but does not reject the need for methodical work.the present article explores the origins of methodologism in ancient greece and modern time...

We show that the height of a nonzero algebraic number α that lies in an abelian extension of the rationals and is not a root of unity must satisfy h(α) > 0.155097.

We construct a canonical compactification SQ g,K of the moduli of abelian varieties over Z[ζN , 1/N ] where ζN is a primitive Nth root of unity. It is very similar to, but slightly different from the compactification SQg,K in [N99]. Any degenerate abelian scheme on the boundary of SQ g,K is one of the (torically) stable quasi-abelian schemes introduced in [AN99], which is reduced and singular. ...

We give three constructions of three-class association schemes as fusion schemes of the cyclotomic scheme, two of which are primitive.

A multi-variable theta product is examined. It is shown that, under very general choices of the parameters, the quotient of two such general theta products is a root of unity. Special cases are explicitly determined. The second main theorem yields an explicit evaluation of a sum of series of cosines, which greatly generalizes one of Ramanujan’s theorems on certain sums of hyperbolic cosines.

1. For a field F and a family of central simple F algebras we prove that there exists a regular field extension E/F preserving indices of F -algebras such that all the algebras from the family are cyclic after scalar extension by E. 2. Let A be a central simple algebra over a field F of degree n with a primitive n-th root of unity ρn. We construct a quasiaffine F -variety Symb(A) such that, for...

Let p > 2 be prime, and let n,m ∈ N be given. For cyclic extensions E/F of degree p that contain a primitive pth root of unity, we show that the associated Fp[Gal(E/F )]-modules H(GE , μp) have a sparse decomposition. When E/F is additionally a subextension of a cyclic, degree p extension E/F , we give a more refined Fp[Gal(E/F )]-decomposition of H (GE , μp).

Vazirani and the author [Electron. J. Combin., 15 (1) (2008), R130] gave a new interpretation of what we called l-partitions, also known as (l, 0)-Carter partitions. The primary interpretation of such a partition λ is that it corresponds to a Specht module S which remains irreducible over the finite Hecke algebra Hn(q) when q is specialized to a primitive l root of unity. To accomplish this we ...