4 papers
Definability from Factorised Symmetry in Ultrapowers
Mike Stannett
A recent theorem of Madarasz characterises the parameter-free concepts of a finitely field-definable coordinate geometry by invariance under its affine automorphisms. This paper is…
On Andréka's Conjecture that special relativity is the only possible conceptual reduct of classical kinematics
Judit Madarász, Mike Stannett, Gergely Székely
In this paper, we prove a pure mathematical result which has important implications for the history and philosophy of classical physics and the conceptual origins of relativity the…
Definable coordinate geometries over fields, part 2: applications
Judit Madarász, Mike Stannett, Gergely Székely
In Part 1 of this study we showed, for a wide range of geometries, that the relationships between their concept-sets are fully determined by those between their (affine) automorphi…
Definable coordinate geometries over fields, part 1: theory
Judit Madarász, Mike Stannett, Gergely Székely
We define general notions of coordinate geometries over fields and ordered fields, and consider coordinate geometries that are given by finitely many relations that are definable o…