This surveys ten key topics in the philosophy of science, logic and mathematics in the 20th century. Each of the essays is written by one of the world's leading experts in that field. The papers provide a comprehensive introduction to the subject in question, and are written in a way that is accessible to philosophy undergraduates and to those outside of philosophy who are interested in these subjects. Each chapter contains an extensive bibliography of the major writings in the field. Among the topics covered are the philosophy of logic, of mathematics and of Gottlob Frege; Ludwig...