What is an axiom in mathematics? How a postulate becomes a theorem PROVE (without the use of induction) that if n is of the form 4k + 2, then n^2 mod8 = 4. What is reasonableness in math? Explain the Euclid's fifth postulate. ...
Rays and Geometry: In geometry a ray is, essentially, half a line. It has a single endpoint and then extends forever in one direction. A ray can extend in any direction, and since it has an endpoint it can share that endpoint with other rays, line segments, and so on. ...
Intuiting the essence of pi. Quickly we ran into the closed-or-open universe debates. So, we postulate that the universe is finite and infinity is totally other. We postulate that infinity is the source for pi and the other dimensionless constants such that pi reaches between the finite and...