Tuesday, January 5, 2010

What is Math?

Math = Language
-"Universal Language"

Math > Language
-You can make statement that are difficult or impossible to make in natural languages

Math <>
-Can't say "I love you"
-Mathematical statements do not refer to the real world

Axioms is a Premise or Starting Point
Definitions of an Axiom:
1.) Consistent
2.) Independent
3.) Simplicity
4.) Fruitful

Theorems:
  1. Lines perpendicular to the same line are parallel
  2. The angles in a triangle add up to 180 degrees
  3. The angles added up on a line is 180 degrees
Platonists: Belief that math is out there waiting to be discovered- Timelessly true
Formulist: Belief that math is invented.



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