Threemagi
He/Him- 486
- 97
0. 'Manifold or Baxter (Greater) Multiverse Contains All Logical System of Mathematics'
Aka it is a 'Type 4 Multiverse' or something like that.
Manifold (Also wider Baxter Multiverse) is governed by deeper source than physical laws. Namely, mathematics and logic, both are underlyings of reality on Manifoldverse.
Its here explicitly said that complexity itself did not originate or created from most fundamental of physical laws. But all is originating from even deeper and more primal source, that is mathematical logic that underlay all things.
How the existence of one mathematical structure caused the existence of physical structures like stars. And since said mathematical structure existed everywhere, (all over Manifoldverse) so can complexity like Life exist all over the Manifold of Manifolds because it would be consequence of mathematical.
In other words, mathematical concepts take the role of 'base'.
The statement above is said by omniscient narrator. It also confirms that the cosmos is made out of mathematics. Because math is inherent in reality. Because previously it is said that it is more fundamental than physical laws.
Because in Manifold Space quote above, it is already said that real existence is mere side effect of mathematical concepts existing.
I mean, there is nothing preventing Type 4 Multiverse containing another Type 4, ad infinitum, right?
1. 'Oceans inside larger ocean, continuing to infinity'
This one short story most likely connected to Manifold. There is mention of Reid Malenfant in the story and it is packed inside Phase Space.
2. Woodin Cardinal
'A Journey to Amasia', short story.
One of many structures is called 'Woodin cardinals'. An inaccessible cardinal, apparently.
Connection to Manifold is through short story 'Spindrift'. 'Spindrift' is one of short stories in Phase Space. And the 'life all around us' seems to hint on the Dreamers (which is from Ultima and Proxima novels. Possibly is also organelles appearing in Dante Dreams (short story packed into Phase Space)).
In which 'A Journey to Amasia' characters both made appearances in Proxima/Ultima & Dante Dreams in Phase Space.
3. Summary
I am under the impression that 'Inaccessible Cardinal' (which Woodin belongs to) warrants new rating/tiering. So is this true? Would this warrant an upgrade? Or would this just an additional supporting quotes for 1-A?
This would affect Downstreamers and that one God, yes.
Aka it is a 'Type 4 Multiverse' or something like that.
Manifold (Also wider Baxter Multiverse) is governed by deeper source than physical laws. Namely, mathematics and logic, both are underlyings of reality on Manifoldverse.
Cassiopeia had spent time trying to teach him about a phenomenon just a little beyond his own horizon — as chaos theory might have been to an engineer of, say, the 1950s. It was something to do with the emergence of complexity. The Gaijin seemed able to see how complexity, even life, naturally emerged from the simplest of beginnings: not fundamental physical laws, but something even deeper than that — as far as he could make out, the essential mathematical logic that underlay all things. .
Human scientists had a glimmering of this. His own DNA somehow contained, in its few billion bases, enough information to generate a brain of three trillion connections… But for the Gaijin this principle went farther. It was like being given a table of prime numbers and being able to deduce atoms and stars and people as a necessary consequence of the existence of the primes. And since prime numbers, of course, existed everywhere, it followed there was life and people, humans and Gaijin, everywhere there could be. Life sprouting everywhere, like weeds in the cracks of a pavement. It was a remarkable, chilling thought
In other words, mathematical concepts take the role of 'base'.
From the beginning, even when the universe was still very young, there was life. Life self-organised, from collections of more or less
simple chemicals, blindly following the laws of chemistry and physics, guided by mathematical rules evidently inherent in reality.
simple chemicals, blindly following the laws of chemistry and physics, guided by mathematical rules evidently inherent in reality.
And the meat of the argument. There are all kinds of formal systems, system of mathematics, therefore, there must be universes corresponding said formal systems...Manifold Time said:Anna's face worked. "They are considering constraints on the ultimate manifold."
Maura suspected that she was going to struggle with the rest of this conversation. "The manifold of what?"
"Universes. It is of course a truism that all logically possible universes must exist. The universe, this universe, is described - umm, that's the wrong word - by a formal system. Mathematics. A system of mathematics."
Maura frowned. "You mean a Theory of Everything?"
Anna waved a hand, as if that were utterly trivial, and her beautiful wings rustled.
"But there are many formal systems. Some of them are less rich, some more. But each formal system is logically consistent internally, describes a possible universe, which therefore exists.
Because in Manifold Space quote above, it is already said that real existence is mere side effect of mathematical concepts existing.
In which there are further recursions to the structure.Manifold Origin said:"A manifold of manifolds."
"And that's why there is a further recursion of structure, no end to the hierarchies of life and mind, which—"
Mane held up her hands.
I mean, there is nothing preventing Type 4 Multiverse containing another Type 4, ad infinitum, right?
1. 'Oceans inside larger ocean, continuing to infinity'
'Ocean' refers to universe before 'age of matter'. Where lifeforms are like fluid plasma.The We Who Sing said:What would be left if the Ocean vanished? – for the Ocean was the world. 'Perhaps there is a greater Ocean,' she said at last. 'In which our Ocean is embedded. As one becomes embedded in the three of a triple.'
'And,' Glimmer said suddenly, 'perhaps there is a greater Ocean beyond that. And then another.'
This keen, intelligent insight startled Shine. But as she tried to imagine an infinite hierarchy of Oceans, each contained within the next, she recoiled, bewildered.
This one short story most likely connected to Manifold. There is mention of Reid Malenfant in the story and it is packed inside Phase Space.
2. Woodin Cardinal
'A Journey to Amasia', short story.
Mathematical superspace, all possible structures, yada yada.A Journey to Amasia said:'Why the city in the sky?'
'Ah, my Laputas. What you see is a representation of a logical structure called the Ultimate L.'
'Logical?'
'Mathematical. A constructible universe, if you like, or multiverse. The buildings out there represent a type of entity known as Woodin cardinals. An expression of the axioms of set theory. Officer Philmus, this is a kind of mathematical superspace, which may, or may not, be an expression of all the variants of mathematics that can logically exist. Nobody knows for sure; not even I, and certainly not that arrogant brute the Archangel. Certainly one may prove profound mathematical theorems merely by exploring such a space – by looking for the edges, or internal boundaries. It is a jungle where hierarchies of infinities tower like prehistoric beasts. And it is a jungle where I hide away.'
One of many structures is called 'Woodin cardinals'. An inaccessible cardinal, apparently.
Maybe it has something to do with 'hierarchies of infinities'?Old post that I found said:0=1 > 10-13 > N-Huge > Superhuge > Huge > Almost Huge > Vopenka > Extendible > Supercompact > Strongly Compact > Woodin > Strong > Measurable > Strongly Ramsey > Ramsey > w1-iterable > Strongly Unfodable > Indescribable > Weakly Compact > Inaccessible Cardinal
Connection to Manifold is through short story 'Spindrift'. 'Spindrift' is one of short stories in Phase Space. And the 'life all around us' seems to hint on the Dreamers (which is from Ultima and Proxima novels. Possibly is also organelles appearing in Dante Dreams (short story packed into Phase Space)).
In which 'A Journey to Amasia' characters both made appearances in Proxima/Ultima & Dante Dreams in Phase Space.
Phase Space said:Or (Malenfant wrote to Michael) perhaps there is life all around us, even now. Perhaps there is life in the stars, the clouds, the rocks under your feet. But we just can’t see it. Wouldn’t that be strange?
3. Summary
I am under the impression that 'Inaccessible Cardinal' (which Woodin belongs to) warrants new rating/tiering. So is this true? Would this warrant an upgrade? Or would this just an additional supporting quotes for 1-A?
This would affect Downstreamers and that one God, yes.
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