1.
"Because we can reduce everything in the universe to entities that follow the laws of quantum physics, the universe must be a quantum computer... One of the attractions of this idea is that it can supply an answer to the question 'Why is there something instead of nothing?'. The randomness inherent in quantum mechanics means that quantum information - and by extension, a universe - can spontaneously come into being."
Sure, but why is there quantum mechanics instead of nothing?
2.
"What does it mean to say that the universe is 'made of mathematics'? An obvious starting point is to ask what mathematics is made of... All mathematical structures can be derived from something called 'the empty set', the set that contains no elements [that is, 0]... you can then define the number 1 as the set that contains only the empty set [so it contains 1 set], 2 as the set containing [0 and 1, so it contains 2 sets], and so on. Keep nesting the nothingness like invisible Russian dolls and eventually all of mathematics appears... That may be the ultimate clue to existence - after all, a universe made of nothing doesn't require an explanation."
Don't you need to have some sort of algorithms, though, and some sort of substrate upon which to run them? Is a wholly abstract dodecahedron in fact anything at all?
3.
Matter depends on atoms, atoms depend on electrons and quarks and things; "reality" is "whatever entities... depend on nothing else." By this definition, reality is "confined to the unknown foundation on which the entire world depends."
It's turtles all the way down! Or, if you're a Buddhist (and I concur on this point) there isn't anything with an independent existence. Ooh, maybe that has something to do with the dodecahedron.
"Because we can reduce everything in the universe to entities that follow the laws of quantum physics, the universe must be a quantum computer... One of the attractions of this idea is that it can supply an answer to the question 'Why is there something instead of nothing?'. The randomness inherent in quantum mechanics means that quantum information - and by extension, a universe - can spontaneously come into being."
Sure, but why is there quantum mechanics instead of nothing?
2.
"What does it mean to say that the universe is 'made of mathematics'? An obvious starting point is to ask what mathematics is made of... All mathematical structures can be derived from something called 'the empty set', the set that contains no elements [that is, 0]... you can then define the number 1 as the set that contains only the empty set [so it contains 1 set], 2 as the set containing [0 and 1, so it contains 2 sets], and so on. Keep nesting the nothingness like invisible Russian dolls and eventually all of mathematics appears... That may be the ultimate clue to existence - after all, a universe made of nothing doesn't require an explanation."
Don't you need to have some sort of algorithms, though, and some sort of substrate upon which to run them? Is a wholly abstract dodecahedron in fact anything at all?
3.
Matter depends on atoms, atoms depend on electrons and quarks and things; "reality" is "whatever entities... depend on nothing else." By this definition, reality is "confined to the unknown foundation on which the entire world depends."
It's turtles all the way down! Or, if you're a Buddhist (and I concur on this point) there isn't anything with an independent existence. Ooh, maybe that has something to do with the dodecahedron.