In philosophy, Weyl's tile argument, introduced by Hermann Weyl in 1949, is an argument against the notion that physical space is "discrete", as if composed...

postulate Weyl's theorem on complete reducibility Weyl's tile argument Weyl–Titchmarsh–Kodaira theory Weyl's tube formula Weyl's unitary trick Weyl (crater)...

Mathematical universe hypothesis It from bit Simulation hypothesis Weyl's tile argument Natura non facit saltus Schmidhuber, Jürgen (1997), Freksa, Christian;...

mathematics vs mathematical analysis Smooth function Digital physics Weyl's tile argument Stanford Encyclopedia of Philosophy: "Continuity and Infinitesimals"...

discovery of Penrose tilings, which are formed from two tiles that can only tile the plane nonperiodically, and are the first tilings to exhibit fivefold...

to Hermann Weyl, the assumption that space is made of finite and discrete units is subject to a further problem, given by the "tile argument" or "distance...

affine Weyl group of An (the affine symmetric group). For n = 2, this can be pictured as a subgroup of the symmetry group of the standard tiling of the...

The Penrose–Lucas argument is a logical argument partially based on a theory developed by mathematician and logician Kurt Gödel. In 1931, he proved that...

In philosophy, the Rietdijk–Putnam argument, named after C. Wim Rietdijk [nl] and Hilary Putnam, uses 20th-century findings in physics – specifically in...

product. It is not necessarily symmetric and is linear only in the first argument. The rank of a root system Φ is the dimension of E. Two root systems may...