This module is an introduction to the central concepts, themes, and figures in philosophy of mathematics. We begin with a survey of the logical and mathematical notions presupposed in the main debates. We then study the most influential “isms” in this field: logicism, formalism, intuitionism, structuralism, realism, empiricism, and nominalism. The last lecture of the module provides an overview of recent controversies, focusing on the philosophy of set theory. The reading of primary sources will also give us the opportunity to become familiar with key historical thinkers such as Frege, Hilbert, Carnap, Gödel, Heyting, and Dummett.
Learning Outcomes
By the end of the module students should be able to:
demonstrate understanding of the main theories and arguments covered in the module
critically engage with and evaluate these theories and arguments
construct arguments of their own defending and/or attacking these views and arguments
present such arguments clearly and concisely in short essay format as part of the in-class exam
Assessment
26094-01 : 3000 word Essay : Coursework (50%)
26094-02 : In Class Exam : Class Test (50%)
Assessment Methods & Exceptions
Assessments:
1 x 1 hour in-class exam (50%)
And
1 x 3000 word essay (50%)
Reassessment:
Resubmission of failed component, if this results in failure of the module as a whole.