Armando de la Torre 2

Nature of mathematics: mathematics does not say anything, but with mathematics you can say everything.

All of mathematics can de reduced to mathematical principles.

Why is mathematics so important? 


Elements in math:

• Egypt / Babylon created the concept of number. (old world)
• Greeks added the concept of proof. (classical world)
• (Modern world) added the concept of duration / experiment. 
• (20th century) added the concept of probability. 

Tautology: the predicate means the same as the subject.
All of mathematics is tautological, because the core of mathematics are equations (both sides are the same)

Through mathematics we use experiments in order to come up with more theorems, By experiments we prove the truth of our statements. But we cant have experiments without mathematics. Mathematics helps us explain the result of experiments.