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Results from samplings of the unique ruliad structure that corresponds to the entangled limit of all possible computations. General physicalized laws of mathematics are discussed, associated with concepts such as metamathematical motion, inevitable dualities, proof topology and metamathematical singularities.
Mathematics is a subject that dates back thousands of years. Central to the subject is the idea of proof, a rigorous, step-by-step argument, starting from a few basic facts accepted as true, that conclusively demonstrates that a statement is true. Over the past few decades, however, the use of computers to prove statements has transformed the way mathematicians think about proof – and created controversy in the field. Imagine taking the positive whole numbers, 1, 2, 3, … up to and including some number N, and colouring each number either red or blue. We impose a constraint: no three numb...
Date Time 13 New Horizons grants awarded to Imperial academics for adventurous research The Engineering and Physical Sciences Research Council (EPSRC) has awarded 13 academics new grants to undertake ‘adventurous and high-risk research.’ The EPSRC, which is part of UK Research and Innovation (UKRI), has allocated almost £25.5 million of funding to 126 adventurous projects, 13 of which are at Imperial. The new pilot programme is designed to support adventurous, high-risk research in the mathematical and physical sciences. The projects announced today…will no doubt stimulate breakthrough...