AbstractsMathematics

SH3 domain mediated virus-host cell interactions by the nonstructural protein 1 (NS1) of influenza A virus

by Gianluca Paolini




Institution: University of Helsinki
Department:
Year: 2016
Keywords: mathematical logic; mathematical logic
Posted: 02/05/2017
Record ID: 2106073
Full text PDF: http://hdl.handle.net/10138/163784


Abstract

The subject of this doctoral thesis is the mathematical theory of independence, and its various manifestations in logic and mathematics. The topics covered in this doctoral thesis range from model theory and combinatorial geometry, to database theory, quantum logic and probability logic. This study has two intertwined centres: - classification theory, independence calculi and combinatorial geometry (papers I-IV); - new perspectives in team semantics (papers V-VII). The first topic is a classical topic in model theory, which we approach from different directions (implication problems, abstract elementary classes, unstable first-order theories). The second topic is a relatively new logical framework where to study non-classical logical phenomena (dependence and independence, uncertainty, probabilistic reasoning, quantum foundations). Although these two centres seem to be far apart, we will see that they are linked to each others in various ways, under the guiding thread of independence. The subject of this doctoral thesis is the mathematical theory of independence, and its various manifestations in logic and mathematics. The topics covered in this doctoral thesis range from model theory and combinatorial geometry, to database theory, quantum logic and probability logic.