Uma explicação do procedimento de re-modelização de conteúdo em Frege

Author(s)

Vincenzo Ciccarelli

• Document type: Doctoral Thesis
• Press: Campinas, SP.
• Institution: Universidade Estadual de Campinas (UNICAMP). Instituto de Filosofia e Ciências Humanas
• Defense date: 2019-04-25

Examining board members

Marco Ruffino; Marcelo Esteban Coniglio; Giorgio Venturi; Edelcio Gonçalves de Souza; Guido Imaguire

• Advisor: Marco Ruffino

Abstract

In a short and difficult passage of "The Foundations of Arithmetic", Frege proposes a new style of definitions based on the procedure of content recarving, i.e. a procedure that by means of an internal re-organization of the content expressed by a sentence, allegedly assigns a content -- and thus a meaning -- to a different sentence having different syntactic structure. This work is inspired by this passage and aims at understanding the metaphor of content recarving outside of Frege's theoretical environment and in the more modern setting of the theory of possible worlds. In particular, the content of a sentence is presented as a structured entity that -- besides representing the truth-conditions of the sentence -- also encodes all information regarding the object with which every possible way of expressing the same content is concerned. A formalism is developed that models the notion of content as an ordered pair of functions, and the operations of content carving and recarving are defined as special sorts of functional decompositions that ''respect'' the internal structure of the content. The main application of this theory will be a new understanding of the main issues regarding abstraction principles and other paradigmatic cases in which the same content is expressed in very different ways (AU)

• FAPESP's process: 14/27057-5 - Foundations and principles of Frege's logical objects
• Grantee: Vincenzo Ciccarelli
• Support Opportunities: Scholarships in Brazil - Doctorate