This is the homepage for MA 1114 - Conceptual Mathematics - Fall Semester 2006, Polytechnic University.  Choose from the selection below.  This page will be updated periodically.
 

• Syllabus
• Lectures
• 01. The Branches of Mathematics
• 02. Paradoxes
• 03. Greeks & Aristotle
• 04. Calculus
• 05. Proofs
• 06. Naive Set Theory
• 07. Ordinals and Cardinals
• 08. Formal Set Theory
• 09. Problems: The Skolem Paradox
• 10. Problems: Godel's Incompleteness Theorems
• 11. Category Theory: Intro
• 12. Isomorphisms, Sections, Retractions
• 13. More Categories
• 14. Generalized Elements
• 15. Terminal Objects & Initial Objects
• 16. Products
• 17. Sums
  
• Assignments
• hw01 (due Tues 9/19)
• hw02 (due Thurs 9/21)
• hw03 (due Thurs 9/28)
• hw04 (due Thurs 10/5)
• hw05 (due Thurs 10/12)
• hw06 (due Thurs 10/19)
• hw07 (due Thurs 11/2)
• hw08 (due Thurs 11/9)
• hw09 (due Thurs 11/16)
• hw10 (due Thurs 11/30)
• extra credit (due Thurs 11/30)
• hw11 (due Thurs 12/7)
  
• Links
• Relevant articles in the Stanford Encyclopedia of Philosophy
• "Zeno's Paradoxes"
• "Set Theory"
• "Russell's Paradox"
• "Category Theory"
• "Hilbert's Program"