THE MATHEMATICS AT THE EDGE OF THE

RATIONAL UNIVERSE

C.D.H. COOPER

DRAFT VERSION ISSUED TO STUDENTS IN THE CONTINUING EDUCATION COURSE "GÖDEL, ESCHER BACH" 1993 & 1995

C.D.H. COOPER, MACQUARIE UNIVERSITY 1995

PRELUDE

http://www.ics.mq.edu.au/~chris/beyond/prelude.pdf

Chapter 1: THE IMPOSSIBLE

http://www.ics.mq.edu.au/~chris/beyond/chap01.pdf

Radio Script: There Is No Time

http://www.ics.mq.edu.au/~chris/beyond/galois.pdf

Chapter 2: THE INFINITE

http://www.ics.mq.edu.au/~chris/beyond/chap02.pdf

Story: Pam And The Prime Minister

http://www.ics.mq.edu.au/~chris/beyond/pam.pdf

Chapter 3: THE UNCOUNTABLE

http://www.ics.mq.edu.au/~chris/beyond/chap03.pdf

Radio Script: Beyond The Finite

http://www.ics.mq.edu.au/~chris/beyond/infinity.pdf

Chapter 4: THE UNSOLVABLE

http://www.ics.mq.edu.au/~chris/beyond/chap04.pdf

Play: It Has To Stop Some Time

http://www.ics.mq.edu.au/~chris/beyond/gotstop.pdf

Chapter 5: THE UNCOMPUTABLE

http://www.ics.mq.edu.au/~chris/beyond/chap05.pdf

Chapter 6: THE UNDECIDABLE

http://www.ics.mq.edu.au/~chris/beyond/chap06.pdf

POSTLUDE

http://www.ics.mq.edu.au/~chris/beyond/postlude.pdf

BIBLIOGRAPHY

http://www.ics.mq.edu.au/~chris/beyond/bibliography.pdf