منابع مشابه
Shining a Hilbertian lamp on the bidisk
1 Lecture 1: Model Theory seca The basic idea behind model theory is to associate a Hilbert space construction with a function, and then use Hilbert space theory to illuminate the function theory. In one variable, one approach is to study the de Branges-Rovnyak space associated with a function φ in the ball of H(D). This is the Hilbert space of analytic functions on the disk D with reproducing ...
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James Thomson envisaged a lamp which would be turned on for 1 minute, off for 1/2 minute, on for 1/4 minute, etc. ad infinitum. He asked whether the lamp would be on or off at the end of 2 minutes. Use of “internal set theory” (a version of nonstandard analysis), developed by Edward Nelson, shows Thomson’s lamp is chimerical; its copy within set theory yields a contradiction. The demonstration ...
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ژورنال
عنوان ژورنال: JOURNAL OF THE ILLUMINATING ENGINEERING INSTITUTE OF JAPAN
سال: 1936
ISSN: 0019-2341,1349-838X,2185-1506
DOI: 10.2150/jieij1917.20.10_3