On the computational meaning of axioms

Alberto Naibo, Mattia Petrolo, Thomas Seiller

Abstract

This paper investigates an anti-realist theory of meaning suitable for both logical and proper axioms. Unlike other anti-realist accounts such as Dummett–Prawitz verificationism, the standard framework of classical logic is not called into question. This account also admits semantic features beyond the inferential ones: computational aspects play an essential role in the determination of meaning. To deal with these computational aspects, a relaxation of syntax is 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 are replaced by geometrical configurations.

OriginalsprogEngelsk
TitelEpistemology, knowledge and the impact of interaction
RedaktørerJuan Redmond, Olga Pombo Martins, Ángel Nepomuceno Fernández
Antal sider44
ForlagSpringer
Publikationsdato2016
Sider141-184
Kapitel5
ISBN (Trykt)978-3-319-26504-9
ISBN (Elektronisk)978-3-319-26506-3
DOI
StatusUdgivet - 2016
NavnLogic, Epistemology, and the Unity of Science
Vol/bind38
ISSN2214-9775

Fingeraftryk

Dyk ned i forskningsemnerne om 'On the computational meaning of axioms'. Sammen danner de et unikt fingeraftryk.

Citationsformater