Possible Project Themes and Guidelines for Infinity 

Traditional Papers

•    Can a machine become self-conscious?
•    Can there be a justifiably moral position in an infinity of universes?
•    Zen and the Paradox of the Liar
•    What is truth?
•    Are extremely large numbers meaningful?
•    What is M-theory?
•    An analysis of infinity or paradox in a work of literature or body of work. (Alice in Wonderland,  The Castle, etc.)
•    A structural analysis of the ritual of Presidential inauguration.
• How many dimensions are there?

Cross-Cultural

• The notion of infinity in a non-western culture
• Artistic depictions of infinity Asia, Africa, or the Americas
• Ethno-psychology of the idea of the infinite
• The infinite in Hopi (or Navaho or Dogon or Warlpiri or ...) myth
• The number 4 in Native American culture
• Archaeo-astronomy in North America
• Medicine wheels
• Mathematical structures in kinship terminology.

Fine Arts

• A painting or sculpture depicting the transfinite cardinals.
•   A work of art capturing the dreamtime.
•    A musical composition expressing the infinite sequences of ordinals and the jump to the limit ordinals.
•    A one-act play on the conundrum's of the liar paradox.
•    A Discovery Channel-like video on the world of cardinal numbers.
•    A short story set inside of an Escher painting.
•    A poem embodying self-reference, transfinite numbers, infinite regress ...

Mathematical and Scientific works

• A discussion of converging and diverging series.
• Large cardinals
• Formulation of an axiomatic system and discussion of its theorems
• Patterns in Pi?
• Do numbers exist?
• Are there parallel universes?
• Is the universe infinite?
• What is M-theory?

Guidelines for Project

1. Every project will have a written component that must include

a. A discussion of how the project relates to the topic of infinity.

b. A self-reflective component in which you relate problems, revelations, etc. that arose in the process of completing the project.

2. The length of the written component will vary from 3 pages for projects that aren’t papers to @ 10 pages for those that are papers.

3. Use MLA style in the written component.

4. Every project will be presented orally. The oral presentation should not exceed 10 minutes. Papers should be summarized and non-papers exhibited or demonstrated as appropriate.