A logic road from special relativity to general relativity

Hajnal Andréka

István Németi

Gergely Szekely

Judit Madarász

pp. 633-649

in: Sonja Smets, Johan van Benthem (eds), Logic meets physics, Synthese 186 (3), 2012.

Abstract

We present a streamlined axiom system of special relativity in first-order logic. From this axiom system we “derive” an axiom system of general relativity in two natural steps. We will also see how the axioms of special relativity transform into those of general relativity. This way we hope to make general relativity more accessible for the non-specialist.