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
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