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## Course Overview

Set theory was introduced by Cantor in 1872, who was attempting to understand the concept of "infinity" which defied the mathematical world since the Greeks. Set Theory is fundamental to modern mathematics - any mathematical theory must be formulated within the framework of set theory, or else it is deemed invalid. It is the alphabet of mathematics.

In this course we will study naive set theory. Fundamental object such as the natural numbers and the real numbers will be constructed. Structures such as partial orders and functions will be studied. And of course, we will explore infinite sets.

### Course Details

Study Type Level Undergraduate 1 Second Term 15 credits (7.5 ECTS credits) Aberdeen No Dr William Turner

### Qualification Prerequisites

• Either Programme Level 1 or Programme Level 2

None.

None.

No

### Course Description

Syllabus

• The algebra of sets.
• Relations and functions.
• Construction of the natural numbers.
• Induction and strong induction.
• Finite sets.
• Construction of the integers.
• Construction of the rational numbers.
• Dedekind cuts and the real numbers.
• Countability and uncountability.
• Zorn's lemma.

### Contact Teaching Time

Information on contact teaching time is available from the course guide.

### Teaching Breakdown

Details, including assessments, may be subject to change until 30 August 2024 for 1st term courses and 20 December 2024 for 2nd term courses.

### Summative Assessments

#### Exam

Assessment Type Weighting Summative 50
##### Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

#### Homework

Assessment Type Weighting Summative 25
##### Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

#### Homework

Assessment Type Weighting Summative 25
##### Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

### Formative Assessment

There are no assessments for this course.

### Resit Assessments

#### Exam

Assessment Type Summative Best of (resit exam mark) or (resit exam mark combined with CA marks)
##### Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

### Course Learning Outcomes

Knowledge LevelThinking SkillOutcome
FactualRememberILOs for this course can be found in the course guide

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