34I0182
This course is co-taught with Fabrice Correia, Joshua Babic, Lorenzo Cocco.
Important philosophers have been captivated by the revolution in formal logic during the 20th century. Many of their arguments rest on new mathematical discoveries. Hilary Putnam has argued that the Löwenheim-Skølem theorem refutes the existence of an objective and mind-independent world. Bas van Fraassen has contended that arguments in the philosophy of science against empiricism are ineffective against a semantic approach to theories. W. V. O. Quine has maintained that the distinction between analytic and synthetic truths is trivialised by the fact that all theories are reducible to theories in which all theorems are analytic.
This seminar will analyse these arguments and others through a detailed investigation of their underlying logical facts. We will give a systematic presentation of key notions such as theory, equivalence, translation, reduction, and model.
The seminar will be held in English and presupposes only an introductory course in predicate logic.