منابع مشابه
Axiomatic Quantum Theory
The aim of the following lecture is to give some rough overview over most essential structures underlying all working quantum theoretical models as well as axiomatic and algebraic quantum field theory. Before specializing to ordinary Hilbert space quantum theory it will be explained why common sense reasoning cannot be applied naively and the pragmatic procedure (quantum reasoning) of getting a...
متن کاملAxiomatic Set Theory
Lecture 1, 07.03.: We made a review of the material covered in Chapter I of [3], up to Theorem I.9.11 (Transfinite Recursion on Well-founded Relations). Lecture 2, 14.03.: We discussed the notion of a rank, as well as the Mostowski collapsing function material corresponding to Section 9 of [3]. Lecture 3, 04.04.: We discussed hereditarily transitive sets, the DownwardLöwenheim-Skolem-Tarksi The...
متن کاملAxiomatic set theory
Elementary set theory can be studied informally and intuitively, and so can be taught in primary schools using, say, Venn diagrams. The intuitive approach silently assumes that all objects in the universe of discourse satisfying any defining condition form a set. This assumption gives rise to antinomies, the simplest and best known of which being Russell's paradox. Axiomatic set theory was orig...
متن کاملAxiomatic Measurement Theory 1
Everyone is aware that measurement is a cornerstone of science, one that in some cases is highly controversial. Much complex technology underlies the refined measurement of certain physical quantities, some of which can be< estimated to surprisingly large numbers of significant figures; one of the more ' elaborate businesses spawned by the social sciences, a business that affects all of our liv...
متن کاملAxiomatic Domain Theory
The denotational semantics approach to the semantics of programming languages interprets the language constructions by assigning elements of mathematical structures to them. The structures form so-called categories of domains and the study of their closure properties is the subject of domain theory Sco70, Sco82, Plo83, GS90, AJ94]. Typically, categories of domains consist of suitably complete p...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1975
ISSN: 0002-9939
DOI: 10.2307/2040041