id author title date pages extension mime words sentence flesch summary cache txt rv042r40b2p Paul Anh Trần-Hoàng Model-Theoretic Approaches to Theoretical Equivalence and Reduction 2020 .txt text/plain 265 13 36 What does it mean to say that a formal theory is reducible to another?This dissertation seeks to better understand possible answers to these questions by employing methods and tools from model theory, a branch of mathematical logic that studies the relationship between formal languages and the mathematical structures that provide such languages with meaning. In Chapter 2, I motivate a a distinctively semantic view of mathematical theories according to which formalized mathematical statements are taken to specify conditions which describe a variety of possibly non-isomorphic structures. cache/rv042r40b2p.txt txt/rv042r40b2p.txt