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mathematicians attempted to justify mathematics as the ultimate consistent language of science. However, Turing and Gödel showed a paradox at the heart of mathematics: it is impossible to prove whether certain mathematical statements
That said, it is also the majority opinion that -- with certain qualifications -- Zeno's paradoxes reveal some problems that cannot be resolved without the full resources of mathematics asworked out in the Nineteenth century (and perhaps beyond). This is not (necessarily) to say that modern ...
The Art and Science of Blinking Around 2,450 years ago the ancient Greek philosopher Zeno of Elea was perhaps the first to methodically question a simple fact of life - how do we physically move, such as when blinking an eye, running, or simply falling down? Culturally we are about to ...
This chapter explains the word "confirmation" as a term of art; however, it is well established in the writings of English-speaking philosophers of science. It is intended to be a technical surrogate for the common notion that is referred to as "constituting empirical support" or, at least,...
This chapter explains the word "confirmation" as a term of art; however, it is well established in the writings of English-speaking philosophers of science. It is intended to be a technical surrogate for the common notion that is referre... M Black - 《Studies in Logic & the Foundations ...
he had come to the conclusion that philosophy was more fun than mathematics. So, luckily, he got his first job (in 1974) in a philosophy department, as a temporary lecturer in the Department of Logic and Metaphysics at the University of St Andrews. The first permanent job he was offered ...
"New Books in Science" Matt Cook, 'Sleight of Mind: 75 Ingenious Paradoxes in Mathematics, Physics, and Philosophy' (MIT Press, 2020) (Podcast Episode 2020) - Movies, TV, Celebs, and more...
Parallels between the mathematics of tiling, which describes geometries of visual space, and neo-Riemannian theory, which describes geometries of musical space, make it possible to show that certain paradoxes featured in the visual artworks of M. C. Escher also appear in the pitch space modelled...
This chapter explains the word "confirmation" as a term of art; however, it is well established in the writings of English-speaking philosophers of science. It is intended to be a technical surrogate for the common notion that is referre... M Black - 《Studies in Logic & the Foundations ...