Comments on a Recent Item by Yu I Manin
نویسنده
چکیده
The comments relate to the often overlooked, if not in fact intentionally disregarded depths of what the so called internal aspects of mathematical knowledge may involve, depths concerning among others issues such as its unreasonable effectiveness in natural sciences, to use the terms of Eugene Wigner, suggested more than four decades ago. 1. On what Appears to be a Modern Trend ... It seems appropriate to start with the following citation from the European-American philosopher of history, Eric Voegelin (1901-1985), who in the first chapter ”The emergence of secularized history : Bossuet and Voltaire” of his book ”From Enlightenment to Revolution”, writes referring to an essay of Voltaire : ”... the Essay implies the idea that universality in historiography can be achieved by completeness, and insofar as the Essay implies this identification it rather opens than solves the problem of universality. By completeness one can achieve an encyclopedia, but not automatically a unity of meaning. ... it reveals the weakness of all universal histories ... : the
منابع مشابه
Lectures 1 and 2 of “ Model
These notes are for the first two lectures of the lecture series ”Model Theory and Diophantine Geometry” by Thomas Scanlon and myself. The full series of lectures will be on the Manin-Mumford conjecture and variants. As is well-known, model-theoretic ideas, specifically definability theory in difference fields of characteristic zero, were used by Hrushovski [2] to give another proof of the Mani...
متن کاملRecent Trends in Archaeological Theory: Some Comments
This paper selectively reviews some recent themes in archaeological theory: a philosophical pragmatism, a turn to materiality, and understanding the past in the context of the present. It concludes with some reflective comments on the author’s Archaeological Theory: An Introduction, in advance of the third revised edition.
متن کاملModuli stacks Lg,S
This paper is a sequel to the paper by A. Losev and Yu. Manin [LoMa1], in which new moduli stacks of pointed curves were introduced. In particular, the structure sections are divided into two groups, and the sections of the second group are allowed to intersect. The homology of these stacks form components of extended modular operad which will be further studied in [LoMa2]. In this paper the ba...
متن کاملA Formula for Gauss-manin Determinants
Let K be a function field over a field k of characteristic 0, and let j : U ⊂ PK be a Zariski open set of the projective line. We consider a flat connection (E,∇) on U . The de Rham cohomology groups H i DR(U/K,∇/K) carry a K/k connection, the Gauß-Manin connection, and taking the alternate tensor of the determinant connections ⊗(detH i DR(U/K,∇/K),Gauß−Manin) (−1)i , one defines the Gauß-Manin...
متن کاملMultiple Ζ–motives and Moduli Spaces M 0,n
Contents 1 Introduction and summary 2 Geometry of M 0,n+3 and divisors B 3 Forms Ω(ε) and divisors A(ε) 4 Multiple ζ–motives
متن کامل