Article

Synthese

, Volume 186, Issue 3, pp 633-649

A logic road from special relativity to general relativity

  • Hajnal AndrékaAffiliated withAlfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences
  • , Judit X. MadarászAffiliated withAlfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences
  • , István NémetiAffiliated withAlfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences Email author 
  • , Gergely SzékelyAffiliated withAlfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences

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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.

Keywords

Relativity theory Logical foundations Axiomatization