MA 1114 - Conceptual Mathematics - Fall Semester 2006, Polytechnic University. Jonathan Bain * Syllabus * Lectures o 01. The Branches of Mathematics o 02. Paradoxes o 03. Greeks & Aristotle o 04. Calculus o 05. Proofs o 06. Naive Set Theory o 07. Ordinals and Cardinals o 08. Formal Set Theory o 09. Problems: The Skolem Paradox o 10. Problems: Godel's Incompleteness Theorems o 11. Category Theory: Intro o 12. Isomorphisms, Sections, Retractions o 13. More Categories o 14. Generalized Elements o 15. Terminal Objects & Initial Objects o 16. Products o 17. Sums