منابع مشابه
On 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...
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We exposit two previously unpublished results due to Leo Harrington. The first result says that there exist arithmetical singletons which are arithmetically incomparable. The second result says that there exists a ranked point which is not an arithmetical singleton.
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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 ...
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ژورنال
عنوان ژورنال: The Philosophical Magazine
سال: 1818
ISSN: 1941-5796,1941-580X
DOI: 10.1080/14786441808652033