## Saturday, March 23, 2013

### RM:Affectance Ontology: InfA

In order to deal with relative values of infinity, Rational Metaphysics:Affectance Ontology defines a particular infinite value;

infA ≡ (1+1+1+...+1)
ismlA ≡ 1 / infA

And thus;
infA * ismlA = (1+1+1+...+1) / (1+1+1+...+1) = 1
2 * infA = (2+2+2+...+2)

And;
infA / (2*infA) = (1+1+1+...+1) / (2+2+2+...+2) = 1/2

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Rationale

(Identity A) / (Identity A) = 1

(Identity A) / 1 = (Identity A)

(Identity A) = (Identity A)

A = A

A common confusion came in the form of;
infinity / infinity = indeterminate,

which is what you were taught in elementary education. But "infinity" isn't an identity. It is merely one property of a potential identity revealing too little information.

It is like saying;
length / length = indeterminate.

Until you specify a particular length, you haven't enough information and thus, "indeterminate".

But if someone specifies a particular length;
(1 meter length) / (1 meter length) = 1, you have a different syllogism.

And when someone specifies a particular infinity ("infA");
(1+1+1+ ... +1) / (1+1+1+ ... +1) = 1, as;
infA / infA = 1,
to deny it is denying that A = A