On the Computational Meaning of Axioms

An anti-realist theory of meaning suitable for both logical and proper axioms is investigated. As opposed to other anti-realist accounts, like Dummett-Prawitz verificationism, the standard framework of classical logic is not called into question. In particular, semantical features are not limited solely to inferential ones, but also computational aspects play an essential role in the process of determination of meaning. In order to deal with such computational aspects, a relaxation of syntax is shown to be necessary. This leads to a general kind of proof theory, where the objects of study are not typed objects like deductions, but rather untyped ones, in which formulas have been replaced by geometrical configurations.

Data and Resources

Additional Info

Field Value
Source https://hal.science/hal-00930222
Author Naibo, Alberto, Petrolo, Mattia, Seiller, Thomas
Maintainer CCSD
Last Updated May 7, 2026, 10:45 (UTC)
Created May 7, 2026, 10:45 (UTC)
Identifier hal-00930222
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Institut d'Histoire et de Philosophie des Sciences et des Techniques (IHPST) ; Université Paris 1 Panthéon-Sorbonne (UP1)-Département d'Etudes Cognitives - ENS-PSL (DEC) ; École normale supérieure - Paris (ENS-PSL) ; Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-École normale supérieure - Paris (ENS-PSL) ; Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)
creator Naibo, Alberto
date 2014-01-14T00:00:00
harvest_object_id 02c6c2e2-893f-4586-8bd9-8c51bb64fded
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-12-09T00:00:00
set_spec type:UNDEFINED