Personhood Proofs

The below personhood proofs have been in the works for a while. The comments/debate here made me push a little on the publication of the proofs.
(Click on it to see a larger version)

A not-perfectly-reproduced production is below:

A+ = (I) Active and (II) actual properties of an adult human with moral worth (high reasoning/moral conscience/etc)

A- = (III) No active and (IV) active potential (capacity) for properties of an adult human with moral worth

wT(x) = Total worth of x

wa(x) = Actual worth of x

wc(x) = Capacitive worth of x

w(x) = 1 = actual worth

w(x) = 0 = no actual worth

[equations are on picture above]

(Total worth of A+ is equal to total worth of A-)
and
(Actual worth of A+ is equal to capacitive worth of A-)



Inductive Reasoning

Assume: Actual properties of adult human (high reasoning/moral conscience/etc) are required for moral worth.

Postulate: When sleep, coma, etc., adult human does not have actual properties of adult human, only capacity for such.

Postulate: When sleep, coma, etc., an adult human that does NOT have actual properties of adult human has moral worth.

Conclusion: Actual properties of adult human (high reasoning/moral conscience/etc) are NOT required for moral worth, only capacity for such.

Corollary: A human zygote has capacity for properties of adult human, therefore, they have moral worth.