The logical function of property talk (2018-2020)

A project funded by the European Commission through a Marie Sklodowska-Curie IF

Based at the Institute for Logic, Language and Computation (ILLC), University of Amsterdam


This project is generously funded by the European Commission through a Marie Sklodowska-Curie Individual Fellowship (LOFUPRO, Grant No. 792202)

About


Talk about properties is ubiquitous throughout the sciences and everyday language, and raises difficult philosophical questions concerning the nature and existence of properties. The aim of this project was to lay down a fundamental theoretical framework for a novel deflationary account of properties. In contrast to more traditional accounts of properties, which take metaphysical questions about properties as their starting point, deflationary accounts take questions about language to be primary. The project aims to advance and inform philosophical research by combining philosophical analysis with tools from mathematical logic, yielding novel insights in metaphysics (universals), the philosophy of language (the function of property talk, its connection to truth and reference), the philosophy of logic (unrestricted quantification), the philosophy of mathematics (the logicist thesis), and philosophical logic (type-free theories, paradoxes).


The project’s principal objectives can be summarized as follows:


1. Developing a precise account of the logical function of property talk.


2. Developing a philosophical account of the nature of properties based on their role in language.


3. Developing formal theories of properties suitable for applications in the foundational studies.


For more information on this project, including a summary of the results obtained, please visit the project's site on the website of the European Commission.

Publications


Deflationary Theories of Properties and their Ontology

Australasian Journal of Philosophy PDF


The Proper Formulation of the Minimalist Theory of Truth (with Julian Schlöder)

Philosophical Quarterly PDF


Does Semantic Deflationism Entail Meta-Ontological Deflationism? (with Benjamin Marschall)

Philosophical Quarterly PDF


Is Deflationism Compatible with Compositional and Tarskian Truth Theories? (with Lavinia Picollo)

In: Nicolai and Stern (eds), Modes of Truth, Routledge PDF


Deflationism and the Function of Truth (with Lavinia Picollo)

Philosophical Perspectives PDF

Events


Propositions, properties, sets, and other abstract objects

A two-day workshop providing a platform for recent work in philosophical logic and metaphysics

February 7 - February 8, 2020. University of Amsterdam

Programme

Talks


Towards a minimalist account of numbers

Propositions, properties, sets, and other abstract objects

February 2020, University of Amsterdam


A Russell-Gödel theory of propositional functions

Propositions, properties, sets, and other abstract objects

February 2020, University of Amsterdam


Numbers and numerically definite quantifiers

Foundational Studies seminar

November 2019, University of Bristol


Deflationism and the function of truth

Conceptual Engeneering seminar

June 2019, University of St. Andrews


A Gödelian solution for the class-theoretic paradoxes

Logic seminar

June 2019, University of St. Andrews


New Axioms for type-free classes

Logic in London I: workshop on type-free concepts

May 2019, University of London


Universal classes and unrestricted quantification

LIRa seminar

May 2019, University of Amsterdam


What are properties?

Logic seminar

May 2019, University of Florence