Skip to Content

MA1511: SET THEORY (2021-2022)

Last modified: 31 May 2022 13:05

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 Undergraduate Level 1
Session Second Sub Session Credit Points 15 credits (7.5 ECTS credits)
Campus Aberdeen Sustained Study No
  • Dr William Turner

Qualification Prerequisites

  • Either Programme Level 1 or Programme Level 2

What courses & programmes must have been taken before this course?

What other courses must be taken with this course?


What courses cannot be taken with this course?


Are there a limited number of places available?


Course Description


  • 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

More Information about Week Numbers

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

Summative Assessments

1st Attempt

Course assignment - 33.3%

Course assignment - 33.3%

Essay - 33.4%

One week for each assessment

Alternative Resit Arrangements

Resubmission of failed elements (pass mark carried forward)

Formative Assessment

There are no assessments for this course.

Course Learning Outcomes

Knowledge LevelThinking SkillOutcome
FactualRememberILO’s for this course are available in the course guide.

Compatibility Mode

We have detected that you are have compatibility mode enabled or are using an old version of Internet Explorer. You either need to switch off compatibility mode for this site or upgrade your browser.