How would you describe the concepts of finality and permanence mathematically?

Answer 1

I think finality and permanence are communicated in mathematics by the very concept of a proof. The basic mathematical axioms that are at the base of all proofs are the subject of 'abstract algebra' - the study of the building blocks of simple addition and multiplication (they are surprising complex).

Answer 2

Finality
Let n equal the noun that the finality modifies.
Let e equal the end of time or infinity, whichever comes first.
Let f(0) be the state of e at the present time.
Let the entropy of the universe which n is contained within increase as x increases.
The limit of f(x) as x approaches e equals the finality of n.

Permanence
Let n equal the noun that the permanence modifies.
Let e equal the end of time or infinity, whichever comes first.
Let f(b) equal the state of n at the begining of n's existance.
Let f(0) be the state of e at the present time.
Let the entropy of the universe increase as x increases.
Let p equal a scale, 0 being the the least perminant, and e being the most perminant.
Greatest value of x where f(x) - f(b) = 0 equals the permanence of n on the scale of p.