20 citations · 103 across the 36 of their papers we have counts for
37 papers
On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory
Wolfgang Bertram
We take up Dedekind's question ''Was sind und was sollen die Zahlen?'' (''What are numbers, and would should they be?''), with the aim to describe the place that Conway's (Surreal)…
On group and loop spheres
Wolfgang Bertram
We investigate the problem of defining group or loop structures on spheres, where by ''sphere'' we mean the level set q(x) = c of a general K-valued quadratic form q, for an invert…
Graded sets, graded groups, and Clifford algebras
Wolfgang Bertram
We define a general notion of centrally -graded sets and groups and of their graded products, and prove some basic results about the corresponding categories: most importantly,…
Distributive lattices, associative geometries: the arithmetic case
Wolfgang Bertram
We prove an identity for five arguments, valid in the lattice of natural numbers with gcd and lcm as lattice operations. More generally, this identity characterizes arbitrary distr…
A functorial approach to differential calculus
Wolfgang Bertram, Jérémy Haut
We show that differential calculus (in its usual form, or in the general form of topological differential calculus) can be fully imdedded into a functor category (functors from a s…
An Essay on the Completion of Quantum Theory. II: Unitary Time Evolution
Wolfgang Bertram
In this second part of the `essay on the completion of quantum theory' we define the {\em unitary setting of completed quantum mechanics}, by adding as intrinsic data to those from…