How Bertrand Russell discovered his paradox
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How Josephson discovered his effect
The discovery of what we have ever since called the “Josephson effect” took place while I was visiting Cambridge, England, for a sabbatical year in 196162. R e c e n t l y , w h e n I t r a v e l l e d t o Kyoto to accept the London Prize on Brian Josephson’s behalf, I put together s o m e r e m i n i s c e n c e s o f t h a t period, which may be more interesting than a mere recapitulation of ...
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An early three-volume technical work written with A. N. Whitehead sought to prove that the fields of mathematics could be derived from logic. The anecdote is told by G. H. Hardy 1 where Russell reported he dreamed that Principia Mathematica, his three-volume massive study, was being weeded out by a student assistant from library shelves two centuries hence. About the work.. .. In the chapter "T...
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It is clear that a sufficiently ingenious person could manufacture a machine moved by olfactory stimuli which, whenever a dog appeared in its neighbourhood, would say, "There is a dog," and when a cat appeared would throw stones at it. The act of saying "There is a dog," and the act of throwing stones, would in such a case be equally mechanical. Correct speech does not of itself afford any bett...
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PHYSICS is said to be an empirical science, based upon observation and experiment. It is supposed to be verifiable, i.e. capable of calculating beforehand results subsequently confirmed by observation and experiment. What can we learn by observation and experiment ? Nothing, so far as physics is concerned, except immediate data of sense: certain patches of colour, sounds, tastes, smells, etc., ...
متن کاملBertrand Russell, Herbrand's Theorem, and the Assignment Statement
While propositional modal logic is a standard tool, first-order modal logic is not. Indeed, it is not generally understood that conventional first-order syntax is insufficiently expressible. In this paper we sketch a natural syntax and semantics for first-order modal logic, and show how it easily copes with well-known problems. And we provide formal tableau proof rules to go with the semantics,...
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ژورنال
عنوان ژورنال: Historia Mathematica
سال: 1978
ISSN: 0315-0860
DOI: 10.1016/0315-0860(78)90046-0