What This Document Is
This is a comprehensive syllabus for PHIL 190Q/290Q: Philosophy of Mathematics, a course offered at the University of California, Santa Cruz during the Spring 2007 semester. It serves as the official guide to the course, outlining expectations, requirements, and a detailed schedule of topics. This syllabus is essential for anyone considering enrolling in or currently registered for the course, as it details the foundational elements for success.
Why This Document Matters
This syllabus is particularly valuable for students interested in the philosophical underpinnings of mathematical thought. It’s crucial for prospective students to review this document *before* the course begins to understand the scope and demands of the material. Current students will find it to be an indispensable reference throughout the semester, providing clarity on assignments, deadlines, and required readings. Understanding the course structure beforehand can significantly enhance your learning experience.
Topics Covered
* Historical development of Analytic philosophy of mathematics
* Logicism and its critiques
* The nature of mathematical existence and entities
* Competing philosophical approaches to mathematics (Realism, Nominalism/Fictionalism, Structuralism)
* Foundational questions in arithmetic and mathematical truth
* Connections between mathematics, logic, and ontology
* Key works by influential philosophers like Frege, Carnap, Quine, Benacerraf, and Putnam
What This Document Provides
* Instructor contact information and office hours
* A detailed course description outlining the central themes and objectives
* A complete list of required texts and ISBNs
* A week-by-week reading schedule with specific assignments from core texts
* Information regarding course requirements, including participation, papers, and presentations
* Important dates for assignment submissions (midterm and final papers)
* References to supplementary readings available on e-reserve.