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# Logic and Paradox - PHI00121I

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• Department: Philosophy
• Credit value: 20 credits
• Credit level: I
• Academic year of delivery: 2024-25
• See module specification for other years: 2023-24

## Module summary

In this module, we will explore a variety of philosophical and logical paradoxes, and the discoveries that their solutions can lead to.

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## Module will run

Occurrence Teaching period
A Semester 1 2024-25

## Module aims

Subject content

• To investigate some of the most important paradoxes in logic and metaphysics.

• To explore the new perspectives on a variety of philosophical topics provided by the solutions to these paradoxes.

• To study some of the recent developments in logic, by evaluating non-classical solutions to logical paradoxes.

• To develop students’ formal logical skills, by studying the strengths and weaknesses of various non-classical logics.

• To develop students’ philosophical logical skills, by evaluating various solutions to paradoxes.

## Module learning outcomes

By the end of this module students should be able to …

• present and explain a variety of paradoxes.

• present and evaluate a variety of solutions to these paradoxes.

• make use of a variety of non-classical logics, and make informed judgments about their strengths and weaknesses.

• engage in critical but supportive discussions with peers about the module material.

• articulate and defend informed opinions about the module material in an extended piece of writing.

## Module content

A paradox is an apparently convincing argument for an apparently absurd conclusion. Studying paradoxes is important, because they reveal deep confusions in our understanding of things, and solving a paradox often involves making a huge intellectual leap forward.

We will study paradoxes such as: Zeno’s Paradoxes; Newcomb’s Paradox; the Sorites Paradox; and the Liar Paradox. We will examine a range of solutions to these paradoxes, including solutions which appeal to non-classical logics. In particular, we will discuss solutions to the Sorites and Liar Paradoxes which reject the classical principle that every sentence is either true or false but not both: we will discuss the supervaluationist solution to the Sorites Paradox, which asserts that some sentences are neither true nor false; and we will discuss the dialetheist solution to the Liar Paradox, which asserts that some sentences are both true and false.

## Indicative assessment

Essay/coursework 100

### Special assessment rules

None

Formative Assessments

750-word essay due on Monday Week 5, Semester 1

Essay plan due on Wednesday Week 11, Semester 1

Summative Assessment

3,000-word essay in Semester 1 Assessment Period

### Indicative reassessment

Essay/coursework 100

## Module feedback

Summative assessment feedback will be returned within current guidelines for turnaround.