MAGIC050: Set Theory

Course details

A core MAGIC course

Semester

Spring 2014
Monday, January 20th to Friday, March 28th

Hours

Live lecture hours
10
Recorded lecture hours
0
Total advised study hours
0

Timetable

Fridays
10:05 - 10:55

Announcements

The assessment for this course will be via a single take-home paper in April with 2 weeks to complete and submit online.

Description

This course is an introduction to set theory, focusing on foundational issues but with an eye also on the study of combinatorial properties of infinite objects.

The initial plan is to start out by motivating and introducing ZFC. Then we will develop the basic theory of the ordinals and cardinals in this theory, and will prove some classical theorems of combinatorial flavour. Time permitting, I would introduce the basics of the method of forcing and would outline the proof of the independence of the Continuum Hypothesis from ZFC. Alternatively, I could give an introduction to the constructible universe L. Finally, I would like to briefly discuss large cardinal axioms and make some considerations of foundational nature.

One of the goals of the course is to engage a working mathematician into looking at the foundations of the mathematical building.

Prerequisites

There are no prerequisites for this course, except for a reasonable level of mathematical maturity. Having been exposed to a course in mathematical logic would be desirable but not necessary. In fact I will give brief outlines of all relevant notions from logic.

Syllabus

Please see the file syllabus.pdf

Lecturer

  • DA

    Dr David Aspero

    University
    University of East Anglia

Bibliography

Follow the link for a book to take you to the relevant Google Book Search page

You may be able to preview the book there and see links to places where you can buy the book. There is also link marked 'Find this book in a library' - this sometimes works well, but not always - you will need to enter your location, but it will be saved after you do that for the first time.

Assessment

Description

The assessment for this course will be via a single take-home paper. You may upload your answers during the period 13-27 April.

Assessment not available

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Files

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Lectures

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