Abstract

RAHMAN, Shahid; CLERBOUT, Nicolas  and  REDMOND, Juan. Interacción e igualdad. La interpretación dialógica de la teoría constructiva de tipos. Crítica (Méx., D.F.) [online]. 2017, vol.49, n.145, pp.51-91.  Epub Apr 03, 2020. ISSN 0011-1503.

The main aim of the present paper is to show, by means of a dialogical study, that the notion of judgemental equality of Constructive Type Theory (CTT), which in this theory furnishes the criterion of identity of a type, can be understood from the game-theoretical point of view as the result of a specific form of dialogical interaction governed by the development rule known as formal rule or (more recently) Socratic rule, which prescribes the use of copy-cat moves. It will be shown, as an example, how to develop the core of a winning strategy for Per Martin-Löf’s demonstration of the Axiom of Choice, who based his proof in the judgemental equality between the function in the antecedent and the function occurring in the consequent of the axiom.

Keywords : identity; game theory; Socratic rule; copy-cat moves; implicit inter locator.

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