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Pixy :
That noise usually accompanies my cat being sick.
Not in so many words - that would be a philosophical statement and this is a book about the future of science.
If you accept the self-existence of the integers then it follows that mathematical structures dependent only on those integers (or similar basic logic applied to them) also self-exist, in precisely the same way. They are all just 'eternal' and unchanging information structures.
The whole book is dedicated to showing how these information structures can be responsible for all the complexity we see in the physical world.
It is for the reader to put 2 and 2 together and come up with 4.
It did not need to 'arise'. It is self-exists dependent only on applying logic to zero (or the empty set). 'arise' implies a time dimension - you have to have a 'before arising' and an 'after arising'. Mathematical structures are not time-dependent.
"how its computations give rise to consciousness."
I am not saying that the computations give rise to consciousness. I am saying the exact reverse. I am saying that consciousness + computations give rise to the experience of a physical world. The computations merely provide the complexity - the entire content of the physical Universe but not the experience of it.
If you are accustomed to thinking that *what exists* is primarily matter, and that consciousness is just a rather hard-to-explain side-effect then a whole bunch of commonly held non-scientific beliefs are necesarily pure bunk because there is no conceivable mechanism for direct consciousness-consciousness communication. Under the system I have outlined no such certainty exists - things like telepathy are suddenly theoretically possible. Unfortunately this often leads materialists to leap to the conclusion that in positing this explanation for existence I have been motivated by a desire to justify telepathy (or 'some wierd religious dogma'), when in actual fact my motivation was to find a scientifically valid theory-of-everything and to deflect the challenge of creationists and proponents of 'intelligent design' (including cosmic design). When I arrived at these conclusions I was the science and skepticism moderator at www.infidels.org
Perhaps Everywhere and Nowhere are ultimately the same place. But that is another story.

Materialism entails the leap of faith that 'somehow' consciousness 'arises' from matter, regardless of the fact that materialism is no closer to providing a substantial answer to that question than it was 400 years ago, and regardless of the fact that it has been under continual attack for this failure ever since Descartes.
By contrast, where specifically is my leap of faith?
Hammegk specified the 'assumption'. The 'assumption', as he put it, was that "*consciousness* *IS* *what exists*". And as far as direct evidence is concerned, this isn't an assumption at all. What you have experienced since you arrived in this world *is* *consciousness*. This is pure Kantianism. Ontology really stopped after Kant pointed out the difference between "The world as it is - the thing in itself" and "The world as we percieve it". All we can ever know is "the world as we percieve it" i.e. consciousness. "The world as it really is" we cannot know. All I am saying is that we might just as well consider "The world as it really is" to be a self-existing mathematical structure, and Stephen Wolfram appears to have written an entire book declaring that this very assumption is the future of science!
Has that made clearer how the problems cancel out?
Erk.
That noise usually accompanies my cat being sick.
Does Wolfram actually say that the network of cellular automata self-exisists?
Not in so many words - that would be a philosophical statement and this is a book about the future of science.
You say that this is an "unspoken subtext". Is there any reason to believe that it self-exists the way mathematics does?
If you accept the self-existence of the integers then it follows that mathematical structures dependent only on those integers (or similar basic logic applied to them) also self-exist, in precisely the same way. They are all just 'eternal' and unchanging information structures.
The whole book is dedicated to showing how these information structures can be responsible for all the complexity we see in the physical world.
It is for the reader to put 2 and 2 together and come up with 4.
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And I do this because there seem to be two clear benefits to doing so : We negate the need to explain the origin of a physically existing Universe and we simultaneously bypass the requirement to solve Chalmers 'Hard Problem Conciousness'.
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Actually, we do neither.
You still need to explain how this network of cellular automata arose - or why we can reasonably assume it self-exists, and how its computations give rise to consciousness. You've simply moved the questions, not answered them.
It did not need to 'arise'. It is self-exists dependent only on applying logic to zero (or the empty set). 'arise' implies a time dimension - you have to have a 'before arising' and an 'after arising'. Mathematical structures are not time-dependent.
"how its computations give rise to consciousness."
I am not saying that the computations give rise to consciousness. I am saying the exact reverse. I am saying that consciousness + computations give rise to the experience of a physical world. The computations merely provide the complexity - the entire content of the physical Universe but not the experience of it.
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The only 'problem' with this is that it opens the door to challenges to belief systems dependent on materialism.
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How?
If you are accustomed to thinking that *what exists* is primarily matter, and that consciousness is just a rather hard-to-explain side-effect then a whole bunch of commonly held non-scientific beliefs are necesarily pure bunk because there is no conceivable mechanism for direct consciousness-consciousness communication. Under the system I have outlined no such certainty exists - things like telepathy are suddenly theoretically possible. Unfortunately this often leads materialists to leap to the conclusion that in positing this explanation for existence I have been motivated by a desire to justify telepathy (or 'some wierd religious dogma'), when in actual fact my motivation was to find a scientifically valid theory-of-everything and to deflect the challenge of creationists and proponents of 'intelligent design' (including cosmic design). When I arrived at these conclusions I was the science and skepticism moderator at www.infidels.org
Logic must be fettered by fact or it will lead everywhere and nowhere - and you will be unable to tell which is which.
Perhaps Everywhere and Nowhere are ultimately the same place. But that is another story.
But materialism also gives a single source of all consciousness and doesn't require these bizarre leaps of faith.
Materialism entails the leap of faith that 'somehow' consciousness 'arises' from matter, regardless of the fact that materialism is no closer to providing a substantial answer to that question than it was 400 years ago, and regardless of the fact that it has been under continual attack for this failure ever since Descartes.
By contrast, where specifically is my leap of faith?
I followed the part about mathematics self-existing. Good stuff. Then you listed two hard problems, and then you claimed that if you assume something - unspecified - that the two problems cancelled out.
Hammegk specified the 'assumption'. The 'assumption', as he put it, was that "*consciousness* *IS* *what exists*". And as far as direct evidence is concerned, this isn't an assumption at all. What you have experienced since you arrived in this world *is* *consciousness*. This is pure Kantianism. Ontology really stopped after Kant pointed out the difference between "The world as it is - the thing in itself" and "The world as we percieve it". All we can ever know is "the world as we percieve it" i.e. consciousness. "The world as it really is" we cannot know. All I am saying is that we might just as well consider "The world as it really is" to be a self-existing mathematical structure, and Stephen Wolfram appears to have written an entire book declaring that this very assumption is the future of science!
Has that made clearer how the problems cancel out?