Matteo de Ceglie- Master of Philosophy
- PhD Student at University of Salzburg
Matteo de Ceglie
- Master of Philosophy
- PhD Student at University of Salzburg
Currently working on developing a new conception of set theoretic multiverse (together with Claudio Ternullo).
About
12
Publications
2,570
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
0
Citations
Introduction
My graduate research focuses on the different conceptions of the set-theoretic multiverse. In particular, my research aims to develop a new conception of the multiverse, and produce a workable philosophical account of multiversism. I am interested in justifying a multiverse conception for set theory from a naturalistic point of view and to build an actual theory of the multiverse. For this research, I am working on the issue of the axiomatisation of the hyperuniverse based on V -logic and, more
Current institution
Education
October 2014 - November 2016
October 2011 - October 2016
September 2011 - October 2014
Publications
Publications (12)
This poster summarises the research I am currently working on for the DOC-Scholarship and the PhD.
According to the universism position in set theory, there is only a Single Universe for set theory and all the models we build through forcing have instrumental value: they are useful only until we find the "true" one. The belief that this universe actually exists and the consequent dismissal of a pluralist conception is based on two main arguments...
In recent years, the notion of 'set-theoretic multiverse' has emerged and progressively gained prominence in the debate on the foundations of set theory. Several conceptions of the set-theoretic multiverse have been presented so far, all of which have advantages and disadvantages. Hamkins' broad multiverse ([4]), consisting of all models of all col...
In this paper I sketch in some details my current PhD project.
This are my slides for the defense of my Disposition. In these, I sketch the main points of my project.
In this paper, I compare the Generic Multiverse with a core (henceforth, GMH) with the classical set theory ZFC, making use of the principle MAXIMIZE introduced by Maddy (1997). I argue that the classic set theory ZFC is restrictive over the GMH , that is, the GMH strongly maximizes over ZFC in the sense that it provides a wide range of isomorphism...
This are my slides for the 1st Forcing Project Networking Conference.
In this paper, I argue from a naturalistic point of view that the generic multiverse with a core is more justifiable than other multiverse conceptions and the single set theoretic universe.
This are the slides of my presentation at the 41st Internation Wittgenstein Symposium. In this, I argue that a multiverse conception of set theory is more naturalistically justifiable than the single universe position. To do that, I use Maddy's principles UNIFY and MAXIMIZE
In this paper I give a philosophical argument in favour of a multiverse conception of set theory. In particular, I use the naturalistic principle MAXIMIZE and UNIFY to argue that a particular kind of multiverse, the generic multiverse with a core introduced by Steel (2014), is more justifiable than the single universe.
In this thesis I present the main multiverse conception in set theory and their solutions to the problem of the Continuum Hypothesis
