Sorry about the late reply, I've been obscenely busy.
On induction: "it has no logical foundation"
Thats not true - the process in induction is a logical (read as "systematic") one, but unlike deduction it doesn't create a "logically invincible" answer - but one to high probability instead...
"you cannot predict the future based on the evidence from the past, is strictly a deductive argument"
The problem is that you are using your own strawman definition of prediction which is a fantasy - as I've said; prediction doesn't claim certainty.
on probability:
"no such thing as probability, any event either WILL or WILL NOT occur, there is nothing in between"
That is a demonstration of *possibility* not probability.
Probability according to our lord and master Wikipedia:
"a measure of the weight of empirical evidence"... "arrived at from inductive reasoning and statistical inference"
http://en.wikipedia.org/wiki/Probability#Etymology
on vacuum fluctuation:
"in order for vacuum fluctuation to occur, there must be a vacuum for it to occur in, therefore the existence of the vacuum, is the cause of the vacuum fluctuation, therefore vacuum fluctuation is NOT a first cause"
"there must be a vacuum for it to occur in"
"must"
If you meant without anything including vacuum:
How on earth can claim that??!! how do you know how can you? the evidence *for* is that at the lowest energy state known - measurable energy change happens spontaneously.
If you mean in a particle filled sense: It's important in established chemical ("non-vacuum") interactions... I think I've already said that...
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"a) the universe is based on logic
b) the big bang is part of the universe
--> The big bang is based on logic."
I don't accept the first premise - Logic is a human *process* - we use it to discover truths, it isn't a truth itself. ... I can't think of a better way of formulating that clearly... I hope it makes sense. even the second is questionable, it could be stated that the big bang *was* the universe.
"one cannot find a guaranteed truth by induction."
That's very true, but as I've been saying, induction doesn't claim certainty, it claims high probability.
" the universe cannot get smaller than infinitley small"
I think Plank's constant sorts out problems of infinity... but I don't think an "infinitely" small point is claimed, only a very dense one.
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"And John Hurt"
!! you read my mind
good to see more of him after his great performance in V for Vendetta.