AUC Logic Lectures: Rise and Fall of the Fregean Empire
What are numbers? What makes mathematical truths true? How do we acquire mathematical knowledge? These are the core issues every foundationalist programme for mathematics must resolve. We look at Frege’s programme, logicism, with a focus on number theory. We contrast it with Kant’s constructive views and outline the causes of its epic downfall in the hands of Russell’s Paradox. Finally, time permitting, we explore a promising (and fairly) new account known as ‘neologicism’, that seeks to put what is left of Frege’s logicism back on its feet.
Dr. Lavinia Picollo is a lecturer in the Department of Philosophy at the Faculty of Arts and Humanities at University College London. Her research is in philosophical logic, formal metaphysics and the philosophy of logic and mathematics. She has a special interest in deflationary conceptions of truth, properties, classes and numbers, and in the notion of logical consequence. Picollo also works on reference and content in formal languages and theories.