Chapter 2181: Chapter 64: To Love Is to Walk Toward the End of Every Journey

And the difference between her and the Mother, that Thousand Stars Cluster, lies in...

She is based on a certain [Incomplete Theorem].

A kind of undecidable, infinite set from which conclusions cannot be inferred, a theorem inferred about its entirety.

In this universe, there exist certain things that are ’real truths,’ which cannot be touched, reached, proven, and analyzed by the logic of humans, those artificially constructed logical systems.

Mathematics is just such a logical system. Mathematics, as a man-made tool, is not a system inherently possessed by the universe, but behind mathematics, there is still a ’universe of mathematical ideas’ that transcends human logic and all logic — a ’prototype universe’.

A kind of Logos.

Humans are a race that cannot see Logos, cannot touch Dao. Humans live in the universe, though they can see electromagnetic waves, touch matter collection, hear the oscillation of waves, perceive the activity and recession of molecules, smell the characteristics of certain molecular structures... yet this is far too little.

To the universe, humans are still blind.

Though mathematics is just a man-made logical system, it can serve as a guiding cane in the hands of the blind, directing humanity to explore certain aspects of the ’world of ideas.’

But precisely because it is an incomplete tool, human mathematics finds that there exists a kind of mathematically meaningful truth, whose paradigm transcends any set formal system, its very existence can reveal the limitations of logical tools, meaning it is impossible just from axioms to use basic logic rules to derive, or prove, or decide all other formulas.

Within a set of mathematical theory, there must exist an undecidable proposition; a mathematical logic system can only prove part of mathematical truths, and ’complete mathematics’ itself is inexhaustible.

And within this inexhaustible theoretical sequence, as long as one randomly selects a part, a certain specific kind of ’solution’ to Logos can be generated.

Such as the continuum hypothesis.

There are many sets that are infinite. And between 0 and 1, there are countless real numbers scattered like stars in the sky.

Real numbers are uncountable, larger than the set of integers. Does there exist an infinite set between the real numbers and the integers?

This question cannot be decided in a logically simple system like set theory without additional assumptions.

And through such assumptions, these ’possibly true, possibly false’ axioms can yield many different versions of ’mathematics.’

— The universe is such a ’solution.’

Some universes nurtured from uncountable mathematics, like the Tachyon Space-Time adopted by the Thousand Stars Fire Seed, where light speed is the lower limit, there is no speed limit, distance and time cannot be marked by motion.

And some universes lack the conventional—human logic’s conventional—space-time foundation, they are a transcendent entity, a superstructure mutually inclusive.

There are universes that are stationary from the start, everything is a predetermined process, real and unyielding like a rock.

There are universes where everything is stationary, arranged in four-dimensional three-dimensional sections.

There are universes where their infinite parallel space-times are a complete integration, within which every event has a certain ’value.’

It has no past, present, and future, or rather, its past, present, and future reality are all equivalent.

And then, there are universes where from beginning to end there is only one ’Monad.’ The consciousness of this Monad itself is a loop, an endless cycle of reincarnation.

The Star God from the initial to the origin constructed the most basic logic of being and non-being, thereby, from this logic, constructed countless universes, obtaining infinite and uncountable solutions.

That is the real infinite universe, and their respective independent infinite parallel space-times.

And these universes all possess life.

Different from humans, yet still life.

This reflects in the ’Thousand Stars Cluster,’ which is ’nurturing different offspring.’

In the Thousand Stars Fire Seed, there is an incomplete meta-mathematics variant catalog. By choosing and calculating through it, countless different solutions can be obtained from the ’undecidable hypothesis’.

— Life is such a ’solution.’

A logical system cannot become complete merely by containing sufficient simple arithmetic axioms; these axioms can always derive statements that are neither provable nor refutable, by taking these statements as additional axioms to enrich oneself, innumerable ’solutions derived from self but different from self’ can be obtained.

That is, infinite progeny.

Because all this is incomplete, countless different versions of mathematics will stretch out like a ’tree,’ extending branches, and each ’Child of Thousand Stars’ is a ’tree of axioms’ nurtured by the Thousand Stars Fire Seed.

They are life inherently compatible with this ’Terra Ether Universe,’ absolutely able to survive and thrive within it, a type of life that chose before ’birth.’

The Thousand Stars Fire Seed is such a vast and self-overlapping complete catalog of logical systems, using this filtering method to nurture offspring derived from itself yet entirely different.

The Thousand-Star Beast indeed mimicked the Star God’s form of hatching universes, constructing its own proto-form, the fire seed that hatches thousand stars.

The universe is the child of the Star God, the Star God stands ’outside the logical universe,’ atop that named ’Great Aether Circulation’ Dao-armament, enveloping the existence of all entities, they are the founders existing outside logic, the first movers.

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