Undergraduate Course: Philosophy of Mathematics (PHIL10052)
Course Outline
School | School of Philosophy, Psychology and Language Sciences |
College | College of Arts, Humanities and Social Sciences |
Credit level (Normal year taken) | SCQF Level 10 (Year 3 Undergraduate) |
Availability | Available to all students |
SCQF Credits | 20 |
ECTS Credits | 10 |
Summary | A one-semester course on the foundations of mathematics. |
Course description |
A sketch of the views of Plato and Aristotle through to Kant and Mill. The various foundational positions: realism, logicism, constructivism, formalism and finitism. Logicism. Varieties of formalism. Finitism and Hilbert's programme. The significance of Godel's Incompleteness Theorems and related results concerning truth and computability. Constructivism and intuitionism. The emergence of axiomatic set theory as foundation for all mathematics. Set-theoretic realism. Structuralism. The applicability of mathematics and the indispensability of mathematics.
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Entry Requirements (not applicable to Visiting Students)
Pre-requisites |
Students MUST have passed:
Logic 1 (PHIL08004)
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Co-requisites | |
Prohibited Combinations | |
Other requirements | None |
Information for Visiting Students
Pre-requisites | Visiting students should have at least 3 Philosophy courses at grade B or above (or be predicted to obtain this). We will only consider University/College level courses.
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High Demand Course? |
Yes |
Course Delivery Information
Not being delivered |
Learning Outcomes
To develop further the philosophical skills, and to extend as well as deepen the philosophical knowledge, acquired in previous philosophy courses.
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Contacts
Course organiser | Dr Casey McCoy
Tel: (0131 6)50 3484
Email: |
Course secretary | Miss Ann-Marie Cowe
Tel: (0131 6)50 3961
Email: |
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