THE LOGICAL SYSTEM OF FREGE’S GRUNDGESETZE: A RATIONAL RECONSTRUCTION

This paper aims at clarifying the nature of Frege’s system of logic, as presented in the first volume of the Grundgesetze. We undertake a rational reconstruction of this system, by distinguishing its propositional and predicate fragments. This allows us to emphasise the differences and similarities...

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Bibliographic Details
Authors: Cadet, Méven, Panza, Marco
Format: article
Status:Published version
Publication Date:2015
Country:Brasil
Institution:Universidade Estadual de Campinas (UNICAMP)
Repository:Manuscrito (Online)
Language:Portuguese
OAI Identifier:oai:ojs.periodicos.sbu.unicamp.br:article/8641949
Online Access:https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8641949
Access Level:Open access
Keyword:Frege. Second-Order Logic. Grundgesetze der Arithmetik. Begriffsschrift. Frege’s notion of a Function
Description
Summary:This paper aims at clarifying the nature of Frege’s system of logic, as presented in the first volume of the Grundgesetze. We undertake a rational reconstruction of this system, by distinguishing its propositional and predicate fragments. This allows us to emphasise the differences and similarities between this system and a modern system of classical second-order logic.