is mathematics dealing with absolute truth?
That question is really thrilling to answer, to be honest.
We have to define 'absolute truth' first.
If we consider this "absolute truth" as logical consistency, then I'd like to introduce Gödel's Incompleteness Theorems:
Gödel's Incompleteness Theorems, for instance, state that mathematics will never be complete, because it will always have parts that cannot be proven. Either it is incomplete, but consistent, or complete but inconsistent (in form of being self-referent).
Mathematics cannot prove itself by its own rules, WITHIN its own system.
As for another track of thoughts/perspctive: (Now it becomes an utter mess... And I am sorry for leaping between multiple different conceptions rn. My thinking process IS like what I describe here - a sort of "extraction process" of "truth", or correct and exact thoughts. )
The only "absolute truth" there is, is actually that there is none - as a kind of "structure" at least, as in a "static", non-chaotic linear axiomatic system (Classical logic). When it comes to non-linear axiomatic systems [networks] (inserting chaos theory in meta-math - neat feedback-loop INSIDE mathematics as recursive system itself btw) I would rather refer to such "truth" as a process of oscillating around the most exact reality description - the symmetry axis is hence the equilibrium state and the actual structure of absolute truth. But- this is exceeding the margin now - The absolute state is an information singularity I call "invertium". Reaching that equilibrium causes an 'inversion', a process of inner polarity. That recursive inner polarity IS that absolute truth.
Furtherly, I somehow sense a strange logical twisted mindfuck fusing Gödel's Incompleteness with my concepts on non-linear axiomatic [networks] (Quantum logic, in a sense). (Transcendence of a paradox, huh???)
Also, in regards of these trains of thought, "absolute truth" is what I would call a "superposed entangled state of all truths and lies" - like an information singularity. A state in which an Invertium happens - the indistinguishabilty of two extreme states - 100% dense information can't be distinguished from a 0% one. A singularity is hence, in a sense, an isolated [conservative] system itself, from a rough viewpoint.
What happens in this state? I suppose a desintegration of said information as "self/own complex", and integration of its information parts into its super-ordinate medium. (That is how I interpret entanglement) (The information strangely "dissolves"/integrates.)
Absolute truth bears every partial truth - and all partial truths, well, I would refer here to Feynman's Path integrals, virtual pairs in Feynman-diagrams and statistical mechanics.
And I am sorry for the confusion. Maybe one day I will be able to turn these highly compressed thoughts into fathomable chunks.
(In my upcoming book a lot of the concepts stated above will be some of the primary issues.)
2087
prguitarman
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