The history and consequences of the fundamental principle the Axiom of Choice are discussed. Its deductive strength is considered by examining equivalent and weaker related statements, complete with proofs. Finally an alternative, the Axiom of Determinacy is discussed, along with it's consequences.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Livak, Thomas Michael

Publisher

• Worcester Polytechnic Institute

Identifier

• 02C028M

Advisor

• Doytchinov, Bogdan D.

Year

• 2002

Date created

• 2002-01-01

Resource type

• Major Qualifying Project

Major

• Computer Science

Rights statement

• In Copyright