Arithmetical Combinations
نویسندگان
چکیده
منابع مشابه
Arithmetical Knowledge and Arithmetical Definability: Four Studies
by Sean Walsh The subject of this dissertation is arithmetical knowledge and arithmetical definability. The first two chapters contain respectively a critique of a logicist account of a preferred means by which we may legitimately infer to arithmetical truths and a tentative defense of an empiricist account. According to the logicist account, one may infer from quasi-logical truths to patently ...
متن کاملArithmetical Measure
We develop arithmetical measure theory along the lines of Lutz [10]. This yields the same notion of “measure 0 set” as considered before by Martin-Löf, Schnorr, and others. We prove that the class of sets constructible by r.e.-constructors, a direct analogue of the classes Lutz devised his resource bounded measures for in [10], is not equal to RE, the class of r.e. sets, and we locate this clas...
متن کاملArithmetical Paraphrases
(2) gitl,b, ••', £r\), Ä(|lJi, 1}2, •••, TJ.) exist and are determinate for all integral values of the x, y in £, 77 respectively; the value of g is unchanged when any one of the £ is replaced by its negative; h changes sign and vanishes with each r\. It is emphasized, once for all, that beyond these restrictions f, g, h are wholly arbitrary. As examples of the bar notation, fix,y\) =f(-x,y\) =...
متن کاملArithmetical meadows
An inversive meadow is a commutative ring with identity equipped with a total multiplicative inverse operation satisfying 0 −1 = 0. Previously, inversive meadows were shortly called meadows. A divisive meadow is an inversive meadows with the multiplicative inverse operation replaced by a division operation. In the spirit of Peacock's arithmetical algebra, we introduce variants of inversive and ...
متن کاملOn Isospectral Arithmetical Spaces
We study the relationship between the arithmetic and the spectrum of the Laplacian for manifolds arising from congruent arithmetic subgroups of SL(1, D), where D is an indefinite quaternion division algebra defined over a number field F . We give new examples of isospectral but non-isometric compact, arithmetically defined varieties, generalizing the class of examples constructed by Vigneras. T...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Elementary School Journal
سال: 1921
ISSN: 0013-5984,1554-8279
DOI: 10.1086/455053