Matteo de Ceglie

Myself up the Mönchsberg.

About Me

Personal

Nationality
Italian
Birthdate

Current Position

I am currently a PhD student at the Philosophy Department of the Cultural and Social Science at Salzburg University. I am working on a dissertation project on the set theoretic multiverse, entitle Towards and axiomatization of the set theoretic multiverse. My first advisor is Univ. Prof. Dr. Charlotte Werndl, and my second advisor is Ass. Prof. Dr. Julien Murzi.

Short bio

I specialise in Philosophy of Set Theory and in Philosophy of Mathematics, but I also have serious interests in Mathematical Logic proper, in Philosophy of Logic and Philosophical Logic, in the Philosophy of Language and in the Philosophy of Science. After finishing High School in Rome, I won (after a public examination) one of the 27 five year long Full Honour Scholarships at the Scuola Normale Superiore in Pisa. To maintain this scholarship for five years, the students must have a GPA of 27/30 at the University of Pisa and also prepare (and defend) an annual research paper and two term papers per year (for which the GPA of 27/30 still applies). During my third year I have been an Erasmus student at the Munich Center for Mathematical Philosophy, where I have worked on my Bachelor Thesis on Second Order Logic and its application to Graph Theory. Then, during my fifth year, I have been another 6 months abroad, this time as a Visiting Student Researcher at the University of California, Berkeley. In Berkeley, since my major was in Philosophy, I have taken two foundational courses in mathematics (Real Analysis and Abstract Algebra) to gain more expertise in key areas of mathematics and get some official mathematical background. In November 2016 I graduated with a thesis on Pluralism in Philosophy of Mathematics, entitled The existence of alternative set theoretic universes and the Continuum Hypothesis (Official Archive | Preprint). The main topic was the application of pluralistic ideas (the existence of more than one set theoretic universe) to the problem of the Continuum Hypothesis. For more details, see my Curriculum Vitae.

Research

My present research focuses on the pluralist conception of the set-theoretic universe. In particular, 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. Thus, I am mainly interested in questions regarding the philosophy of set theory, the foundations of mathematics, the pluralism/anti-pluralism debate, naturalism and second philosophy, the higher infinite, the continuum hypothesis, determinacy and inner models. My research interests also include intuitionism/constructivism, second order logic, type theory, proof theory, general philosophy of science, the demarcation problem, second order science, intentionality and language learning. I have also a very strong side interest in Linguistics - when I was in Pisa I wrote essays on formal Semantic, typology, computational linguistics and neurolinguistics.