The Mathematical Universe (The God Series Book 14) by Mike Hockney

Author:Mike Hockney [Hockney, Mike]
Language: eng
Format: mobi, pdf
Publisher: Hyperreality Books
Published: 2014-01-05T00:00:00+00:00

Humans versus Machines

Humans are superior to machines because machines always have to be programmed with the axioms and rules of a formal system and these, as Gödel showed, will always be inconsistent or incomplete.

The Problem With Language

Is the statement “This statement is false” true or false? What’s the problem with this statement? Well, all truths of reason are strictly objective while the statement above is subjective. It’s making a self-referential statement as absurd as “I am beautiful”. How do you know you are? You’re simply making an assertion, not stating a truth of reason. The system of truths of reason never involves subjective, self-referential statements. Truths of reason must be provable objectively. No subjective statement is provable at all.

The statement “This statement is false” fails to make a statement that can be objectively tested. It’s a subjective assertion, an opinion, hence it’s neither true nor false and simply doesn’t belong to the system of truths of reason.

The only way you can address the truth or falsehood of the statement is through language analysis, but no language other than mathematics is infallible and rigorously logical and objective. When such a statement is converted into a pseudo-mathematical statement – in the manner advanced by Gödel in his Incompleteness Theorems – there’s no coherent outcome. That’s not surprising, given that mathematics alone is true, complete, consistent and coherent. Any approximation to mathematics fails. It’s the whole thing or nothing at all. Quite simply, in any system of objective truths of reason (pure mathematical statements), there’s no subjectivity. All self-referential statements are forbidden since they are inherently subjective.

Subjects can create statements that do not conform to any system of objective truths of reason. It’s precisely thanks to this that we do not inhabit a world of computers but a world of feelings, mistakes, errors, flaws, delusions, opinions, conjectures, hypotheses, beliefs, and interpretations.

Objective mathematics is all about objective truths of reason. Subjective mathematics is about “truths of fact”, “truths of belief”, “truths of opinion”, and so on. These are all outside the domain of eternal truths of reason. Self-reference and subjectivity play no part in the truths of reason.

It cannot be stressed enough that objective logic is completely separate from subjective “logic”. The former necessarily involves eternal truths of reason. The latter makes statements that reflect subjective statements that are never either true or false. The word “this” is self-referential in a statement such as “This statement is false”, hence is automatically outside the system of objective truth.

All users of language are subjects and language is primarily about the subject. Every sentence has a subject (what it’s about).

Objective mathematics does not involve subjective statements at all. There is no self-reference in objectivity. There is no “I”.

*****

To itself, a monad is a subject. To any other monad, it’s an object. This dichotomy is vital to logic. Objective mathematics treats all monads as objects. Any subjective, self-referential statement is inadmissible in an objective system.

It’s only thanks to monads being viewable as both objects and subjects that we have a world where free will is possible.

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