The module introduces students to formal logic, covering natural deduction and model theory for first-order formal languages with a classical logic, as well as non-classical variants, such as logics for vague languages and logics for languages with modal operators, free logics and probabilistic logics.
Pre-requisite modules
Co-requisite modules
- None
Prohibited combinations
- None
Occurrence | Teaching cycle |
---|---|
A | Autumn Term 2020-21 to Spring Term 2020-21 |
The module aims to introduce students to formal logic, in contrast to Reason & Argument which focuses on the logic of natural languages. Students learn the technical skills of natural deduction and model theory for first-order formal language with a classical logic and then learn about non-classical variants, such as logics for vague languages and logics for languages with modal operators, free logics and probabilistic logics.
By the end of the module, students should be able to:
—use natural deduction and model theory to assess the correctness of sequents in a first-order classical language with quantification and identity.
—understand and explain a range of key problems, issues, and debates in the philosophy of logic and express this understanding in clear, precise, and accessible terms
—develop and articulate ranges of alternative solutions to problems and issues in the philosophy of logic in an open-minded way, drawing on module materials
—develop and articulate arguments for the alternative solutions considered in relation to problems and issues in the philosophy of logic, drawing on module materials, identifying some points of weakness and some potential points for development
—make a judgement about what is the best view on a particular problem in the philosophy of logic and argue in defence of this judgement
—identify some of their strengths and weaknesses by evaluating their own work in relation to departmental marking criteria
—apply simple strategies for improving their work, based on critical reflection, advice, and feedback
Task | Length | % of module mark |
---|---|---|
Essay/coursework Essay 2500 words |
N/A | 50 |
Online Exam - 24 hrs (Centrally scheduled) Intermediate Logic |
N/A | 50 |
None
Task | Length | % of module mark |
---|---|---|
Essay/coursework Essay 2500 words |
N/A | 50 |
Online Exam - 24 hrs (Centrally scheduled) Intermediate Logic |
N/A | 50 |
Feedback on formative exercises will be returned at the immediately following contact point and feedback on the writing task will be returned within 2 weeks of submission, and by the end of term at the latest. Feedback on summative work will be returned within 4 weeks of the assessment deadline.
Allen & Hand, Logic Primer
Sainsbury, ‘What Logic Should We Think With?’;
Bostock, Intermediate Logic, ch. 8.
Melia, Modality, ch. 2;
Kripke, ‘Semantical Considerations on Modal Logic’
Fine, ‘Vagueness, Truth, and Logic’;
Williamson, ‘Vagueness and Ignorance’
Grice, Studies in the Way of Words, chs. 1-4;
Edgington, ‘Conditionals’, Stanford Encyclopedia of Philosophy.