Mike Flynn said:
So YOU'RE the one who stated 'cycles since computer started'. Then when I respond to that, you just bring up something else.
THIS TIME its all about the 'GRH' algorithm...sheesh...make up your mind. Why don't you just copy out the complete pseudo-code for the 'GRH' and whatever other RAND functions it might fetch a number from, and I would be delighted to show you why its output is strictly deterministic. And then you can cook up another one and we can do it all over again....whee!
Your lack of understanding puzzles me, maybe a maths person and a physics person can't communicate.
We need a social scientist! The "
generate
random
hand function (GRH)
uses the tick-count based random function.
Although unnecessary for theory, I thought that poker would be easier to talk about (as opposed to 'the number' and 'the previous number'.)
If you really don't understand why the hand generated by GRH is
random with respect to any other hand generated by GRH then say so and we can discuss it. If you agree that hands are random wrt. each other, then we have an algorithm that by your definition is both deterministic and random. Therefore, random is not the same thing as non-deterministic. If you think that I'm talking about the wrong
kind of random then explain.
So let's see if you can be "delighted" to show that every program's output is deterministic. If it is, you should be able to predict any program's output. If you are a computing engine, then someone should be able to write a computer program to do the same. Fair enough, so far? Let's call this program
Predict which takes as a parameter the source code to a program and predicts what the return value is. (It only works on programs without parameters to simplify matters.)
Now what output do you predict that GRH will return if is run at a specific tick-count? Got that program finished yet? OK, looks good! Great work!
Oh, I forgot to tell you that GRH has a tiny bit of additional logic. I stole the code to
Predict after you finished it and incorporated it into GRH. I only know how to write poker-hand-generating functions, so the only thing tha I could think of to pass as a parameter was the source code to GRH. Just to make you mad, I added the following right before the exit:
Code:
if (ReturnValue == Predict([i]<source code to GRH incl this line>[/i]))
return (mod(ReturnValue+1,52));
So what value do you predict that GRH returns? If you predict that GRH will return the Ace of Spades, it returns the Two of Spades instead! Don't try this at home... the proof shows that a general version of
predict cannot be written.
(No, I'm not clever enough to have invented this, it is a reformulation of the Turing halting problem that I mentioned in an earlier post. I said to use Google!) The upshot of this is that algorithms, numbers, and functions are remarkably unintuitive. If you really want to get blown away see
Chaitin's constant which is an instance of a function that can be defined but whose value we can never compute!
The relationship between this and free will? Well, my main point is that you can't assume that just because a system implements an algorithm that its result can be determined . So if you hook me up to a machine and predict that I'll buy a 'snickers bar' tomorrow I might decide to spite you and buy a 'mars bar' instead. Or I might decide that is what you want me to do and buy the snickers anyway. The fact that I'm physical implementation of an algorithm isn't enough to prove that you can predict my 'output.' This has nothing to do with randomness, quantum effects, or the uncertantity principle.
I'm sorry you don't get this...its the critical argument I'm making here (minus all of the banter with the computer analogy). If you have a particle (or a person) who is governed by the deterministic laws of classical physics, then every future state of that is precisely predictable from prior states...there is no room for free will for this particle (or person)...it's fate can be precisely determined.
Disproven above. The undecidability problem doesn't rely on quantum physics. (Not all proofs of undecideability rely on the halting problem...
Ed: Enough already!)
If we factor in quantum fluctuations into the particles nature, then this dissolves the particles fate (it can't be in any way precisely predicted), but there is still no room for the particle (or person) to have free will, since these fluctuations are completely random and the particle has no means of controlling (or selecting or 'willing') the outcome of the random event.
This is a misuse of the word "random". See previous posts, but also recognize that because one can quantify (some types of) uncertantity using probability does not mean that uncertantity is randomness. The models that physicists have come up with work only when you 'factor in' some uncertantity. A convenient way to do that is to use a probability model that is based upon a theoretical random function. Particles could easily be 'willing' the outcome of quantum fluctuations except of course particles aren't usually seen as having 'will' because they are just particles.
This seems familiar.
If your physical being is governed by the same laws that the particles in the universe are governed by. Then free will is simply not possible.
..not for a single electron, or for a collection of trillions of them bonded with other particles in your body. So when you 'decide' to stand up, in theory, the motion was not freely willed. It couldn't be.
Not shown, and the evidence is against it. Physical objects (computers) can implement virtual systems that are unrelated to the laws of physics.
--------------
HW...I have poked a little fun at your computer arguments here as well...please don't take it the wrong way. I think its quite clear that I'm not convincing you, and you're not dissuading me.
No problems, poking fun is often an effective way of coming to an understanding, as the 'pokee' has to explain why their argument isn't the ludicrous creature presented. I don't actually see an argument that you poked fun at, though.
I only wish I could articulate mine better...its the physics degree in me...it muddles my ability to make coherent sentences.
Ah, a physics person talking to a mathematican. Nobody will understand us, including ourselves! (We are **** lucky that it appears that neither of us know how to put greek symbols into HTML)
hw