%0 Journal Article
%T Transcendental syntax I: deterministic case
%+ Institut de Mathématiques de Marseille (I2M)
%A Girard, Jean-Yves
%Z Special Issue: Computing with lambda-terms. A special issue dedicated to Corrado Böhm for his 90th birthday.Thanks to Marc Bagnol, Paolo Pistone and Maria Rengo for their feedback.
%< avec comité de lecture
%@ 0960-1295
%J Mathematical Structures in Computer Science
%I Cambridge University Press (CUP)
%V 27
%N 5
%P 827 - 849
%8 2017-06
%D 2017
%R 10.1017/S0960129515000407
%Z 03F52 (03B40)
%Z Mathematics [math]/Logic [math.LO]Journal articles
%X We study logic in the light of the Kantian distinction between analytic (untyped, meaningless, locative) answers and synthetic (typed, meaningful, spiritual) questions. Which is specially relevant to proof-theory: in a proof-net, the upper part is locative, whereas the lower part is spiritual: a posteriori (explicit) as far as correctness is concerned, a priori (implicit) for questions dealing with consequence, typically cut-elimination. The divides locative/spiritual and explicit/implicit give rise to four blocks which are enough to explain the whole logical activity.
%G English
%L hal-01322327
%U https://hal.science/hal-01322327
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-
%~ ANR