Friday, April 06, 2007

A ⇔ ±B

Let U represent the univeral set. Let P represent the set containing people. Let H represent the set containing hearts.

1. P ⊂ U, and H ⊂ U

2. H ∩ P ≠ {}

3. ∃ people without hearts
⇒ H' ∩ P ≠ {}

4. however, n(H' ∩ P) ≪ n(H ∩ P)
⇒ n(H' ∩ P) ≈ 0

5. n(H ∪ P) = n(P), since hearts cannot exist without bodies
⇒ H ⊆ P
⇒ H ≡ P, since n(H' ∩ P) ≈ 0

6. children have bigger hearts
⇒ (human size) ∝ 1/(heart size)
⇒ as heart size → 0, human size → ∞

yes maths is a perfect language and is an∫part of life.