# BSc Actuarial Science and Mathematics / Course details

Year of entry: 2024

## Course unit details:Formal Logic

Unit code PHIL20141 20 Level 2 Semester 1 Yes

### Overview

The course will cover the syntax and semantics of a propositional logic PL. Next, a natural deduction system will be introduced for proving the validity of sequents and theorems in PL. Subsequently the course will extend the grammar and proof procedure developed for PL to encompass a language of first-order predicate logic with identity, QL.

### Aims

Introduce students to the elements of formal propositional and first-order predicate logic. The course will introduce two systems of logic and provide a proof-procedure for each.

### Learning outcomes

Students should be able to construct formulas of propositional and predicate logic, translate English sentences into these formulas, and prove sequents within a natural deduction system for these two formal languages.

Knowledge and Understanding:
Knowledge of elementary propositional and first-order logic and their associated proof procedures.

Intellectual skills:
As above.

Practical skills:
The ability to formalise patterns of argument in an abstract and rigorous form.

Transferable skills and personal qualities:
Improved argumentation skills.

### Teaching and learning methods

There will be a mixture of lectures and tutorials.

Please note the information in scheduled activity hours are only a guidance and may change.

### Employability skills

Analytical skills
Problem solving

### Assessment methods

Method Weight
Written exam 100%

### Feedback methods

The School of Social Sciences (SoSS) is committed to providing timely and appropriate feedback to students on their academic progress and achievement, thereby enabling students to reflect on their progress and plan their academic and skills development effectively. Students are reminded that feedback is necessarily responsive: only when a student has done a certain amount of work and approaches us with it at the appropriate fora is it possible for us to feed back on the student's work. The main forms of feedback on this course are written feedback responses and exam answers.

We also draw your attention to the variety of generic forms of feedback available to you on this as on all SoSS courses. These include: meeting the lecturer/tutor during their office hours; e-mailing questions to the lecturer/tutor; asking questions from the lecturer (before and after lecture); presenting a question on the discussion board on Blackboard; and obtaining feedback from your peers during tutorials.

Logic: A Very Short Introduction, Graham Priest, Routledge, 2000

### Study hours

Scheduled activity hours
Lectures 20
Tutorials 10
Independent study hours
Independent study 170

### Teaching staff

Staff member Role
Graham Stevens Unit coordinator