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I've supervised a lot of great student projects in my nine years at MIT, but my inner nerdy teenager has never been as personally delighted by a project as it is right now. Today, I'm proud to announce that Adam Yedidia, a PhD student at MIT (but an MEng student when he did most of this work),…
Most people believe 18446744073709551615, or 0xFFFFFFFFFFFFFFFF in hexadecimal, to be the largest number representable in 64 bits. Which is indeed the case if we are talking about 64 bit unsigned...
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.
First published Tue Sep 25, 2007; substantive revision Tue Sep 26, 2017 If mathematics is regarded as a science, then the philosophy of mathematics can be regarded as a branch of the philosophy of science, next to disciplines such as the philosophy of physics and the philosophy of biology. However, because of its subject matter, the philosophy of mathematics occupies a special place in the philosophy of science. Whereas the natural sciences investigate entities that are located in space and time, it is not at all obvious that this also the case of the objects that are studied in mathematics. ...