2022/23 Undergraduate Module Catalogue
PHIL3123 Philosophy of Logic and Mathematics
20 creditsClass Size: 31
Module manager: Dr Jack Woods
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2022/23
Pre-requisite qualificationsPHIL2122 Formal Logic;
PHIL2542 Introduction to Metaphysics
This module is mutually exclusive with
|MATH3021||Philosophy of Logic and Mathematics|
|MATH5021M||Philosophy of Logic and Mathematics|
This module is not approved as a discovery module
ObjectivesOn completion of this module, students should be able to:
- Understand and discuss critically in detail the philosophical issues concerning the nature and application of logic or mathematics;
- Read, interpret and criticise historical and contemporary research work on the subject.
Students will study a selection from the following/relevantly similar topics:
- Philosophy of Mathematics Logicism (Frege, Russell, etc) Intuitionism (Kant and Kantians, Brouwer)
- Formalism (Hilbert) The metaphysics of mathematical objects: realism and nominalism The epistemology of mathematics The (unreasonable?) effectiveness of mathematics in the sciences.
- Philosophy of Logic What is logic?
- Logical constants; the scope of logic; higher order logic.
- Logical concepts: philosophical analysis of one or more of: the conditional, quantifiers, negation, definite descriptions etc.
- Alternative logics: free logic; many-valued and fuzzy logics; intuitionistic logic; relevance logics.
- Modern theories of truth from Russell to the present: correspondence, redundancy, Tarski, minimalism, truthmaker theory.
- Theories of vagueness: fuzzy logic, supervaluation, epistemic theories. Intensional logics, their uses and justifications.
- Paradoxes: types and avoidance strategies.
- Expanding logic: Generalised Quantifiers; Indexicals; Tense; Logic Diagrams.
- Approached to logic: formalist; semantic; logic in use.
- Logic and ontology.
- Logic, cognition and natural language; non-monotonic logics.
|Delivery type||Number||Length hours||Student hours|
|Private study hours||179.00|
|Total Contact hours||21.00|
|Total hours (100hr per 10 credits)||200.00|
Private studyLecture preparation: 59 hours
Tutorial preparation: 60 hours
Assessment preparation: 60 hours
Opportunities for Formative FeedbackStudents will have the opportunity to submit a draft of their essay for feedback mid-module (maximum 2000 words).
Students will be invited to prepare and present material during seminars.
Methods of assessment
|Assessment type||Notes||% of formal assessment|
|Essay||3000 words (end of module)||100.00|
|Total percentage (Assessment Coursework)||100.00|
Reading listThe reading list is available from the Library website
Last updated: 29/04/2022 15:26:27
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