Nondeterminism doesn't necessarily imply free will?

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Both hardware and software generators are pseudo-random.
That is just your opinion with nothing to back it up. And it appears that you are in serious error
according to Francis Galton. Please show that you are right and that Francis Galton was wrong in his 1890 paper describing how to get random numbers from tossing dice.
 
The indeterminate nature of quantum particles was created indeterminate by intelligent creation so that the quantum materials would be “disposed” to movement in a plethora of material manifestations of intelligible forms or substances.

Some of these forms are living (you and I) and our wills have no problems animating large bodies composed of these indeterminate quantum particles that are well disposed to our free desire of how these bodies of ours will manifest the reality of our souls.

An indeterminate thing is open to be whatever you (freely) will - it is disposed to many things as you choose.

BTW, the “earth was formless and void” inside the Beginning, indeterminate, undetermined, (Augustine also adds “invisible”). So it was free (disposed) to being formed with intelligent form via “Let there be…, and there was”.
 
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That is just your opinion with nothing to back it up.
Umm… if you say so. Happy reading!
AIng:
And it appears that you are in serious error
according to Francis Galton. Please show that you are right and that Francis Galton was wrong in his 1890 paper describing how to get random numbers from tossing dice.
He doesn’t get “random numbers”. As in any other system, these are pseudo-random numbers, which are seeded by some (hopefully sufficiently) unpredictable process (in Galton’s case, the throw of dice from a garbage can).

This doesn’t create “randomness”, but merely something that is (hopefully) not able to be predicted.
 
As in any other system, these are pseudo-random numbers,
No.

Randomness involves objective unpredictability. For an event to be random, you cannot predict it in advance. Pseudorandomness involves sequences which exhibit statistical randomness but because of a seed number and an algorithm, you will get an entirely predictable string of numbers. Pseudorandom numbers are created by a deterministic algorithm.

There is no deterministic algorithm which can be used to determine the value of a the next toss of a die.

Assuming that you toss the die vigorously, the results are completely random.

If you have some deterministic algorithm which can give the value of the next die toss, and show that the results are not random, please take a trip to Las Vegas and show us how you have succeeded in breaking the bank at the Bellagio Hotel and Casino.
Happy reading!
Your list is fine but it is not relevant to the question at hand. Your list concerns pseudo random number generation using algorithms.
To sum up, if you disagree with what I have said here, you need to give us your definition of
  1. random
    and
  2. pseudo-random.
    And also give us an example of a random process ( a truly random one, not a pseudo-random one).
 
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Pseudorandom numbers are created by a deterministic algorithm.
They are also created by hardware systems. 😉
There is no deterministic algorithm which can be used to determine the value of a the next toss of a die.

Assuming that you toss the die vigorously, the results are completely random.
Nice try. Let’s look at it a certain way:

Can the toss of a die be modeled by computer graphics? (Of course it can!) Now, if sufficient measurements could be taken – of position, force vectors, etc, etc – and calculations be computed quickly enough, could the results of a die throw be calculated? (Of course!) if you want to answer “no”, then you need to justify why a physical event cannot be calculated, given sufficient (name removed by moderator)ut data and computational power.

Oh, you might argue that we’re unable to do that – and I’d agree with that assertion, at least in terms of current ability – but in principle, it’s possible. So… “the throw of a die” is a physical event which can be modeled and predicted. All you can assert is “it’s too complex for us to do it at present”, and therefore, it’s only “unpredictable” *with current technology."

In other words: it’s deterministic, but really really difficult to do.
If you have some deterministic algorithm which can give the value of the next die toss, and show that the results are not random, please take a trip to Las Vegas and show us how you have succeeded in breaking the bank at the Bellagio Hotel and Casino.
You’re merely proving the point: it’s not presently possible. It’s not theoretically impossible, though.
To sum up, if you disagree with what I have said here, you need to give us your definition of
  1. random
    and
  2. pseudo-random.
I already have.
And also give us an example of a random process
I’ve already addressed this, too: it’s difficult to define this. Do you have a definition, since you seem to want to assert that you have the answer?
 
it’s difficult to define this
You don’t have a definition. That is where your problem is.
Define:
pseudo random
random
and
give an example of a random process. Hint: according to von Neumann: "Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin. "
 
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You don’t have a definition. That is where your problem is.
I guess you don’t, either? 🤔

For the sake of discussion, I’ll propose the following description, found on the Wolfram site. Interestingly, after defining random – in terms of what it isn’t, interestingly enough, rather than what it is, practically speaking!! – the following observation is offered:
It is impossible to produce an arbitrarily long string of random digits and prove it is random. Strangely, it is also very difficult for humans to produce a string of random digits
So… there you have it. And, oddly enough, it’s pretty much what I said it was, back in the beginning:
‘Randomness’ is an extraordinarily difficult concept to describe (let alone prove!) in any real system.
😉
 
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I guess you don’t, either?
A random sequence of numbers is one without order or pattern and which is serially uncorrelated.
In the absence of an agreement on the definition of randomness and in the absence of an agreement on an example of how to produce a random sequence, it is difficult, if not impossible, to discuss these concepts with any degree of clarity.
My observation was that most books will say that the numbers obtained from a die toss are random and cannot be found by appeal to any algorithm. Further there is no pattern and there is no correlation between the present numbers and the numbers obtained in the future by the die toss. However, according to Newton’s theory, these numbers are in principle determined provided you had knowledge of all the variables.
Mathematically speaking, if a formula for the sequence is deterministic, the resulting sequence cannot be random. The problem is that you are already in a state of sin if you think you can produce random digits by an arithmetical method.
For my purposes, the following three examples are examples of randomness:
  1. Tossing a fair die and listing the numbers obtained.
  2. Flipping a fair coin.
  3. White noise consisting of serially uncorrelated random quantities.
Strangely, it is also very difficult for humans to produce a string of random digits
I do not believe this to be true and as proof I refer to the gambling tables at the Belagio Hotel and Casino.
To continue the discussion there has to be agreement on what is meant by a random sequence, how you would produce a random sequence and a specific concrete example of such.
 
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A random sequence of numbers is one without order or pattern
Ahh… but how can you demonstrate that there’s no order? And, more to the point, if you’ve only seen r1…ri, then how do you know that there’s not a pattern once ri+1 has been seen?
In the absence of an agreement on the definition of randomness and in the absence of an agreement on an example of how to produce a random sequence, it is difficult, if not impossible, to discuss these concepts with any degree of clarity.
Then again, if we have an example of something putatively “without order or pattern”, then we have an example of something that’s likewise putatively not deterministic, don’t we? And, if so, then we have a certain sense of clarity that determinism doesn’t hold up to scrutiny… don’t we?
My observation was that most books will say that the numbers obtained from a die toss are random
I think you should examine more carefully what they mean by “random”, then. 😉
Further there is no pattern and there is no correlation between the present numbers and the numbers obtained in the future by the die toss
Hang on, though – there’s a difference between a “series of events” and a “single event”, isn’t there? You seem to be invoking the notion of independent events rather than the notion of a deterministic event.

This confusion proceeds because the ‘proof’, as it were, of the “randomness” of a particular value that’s output by the generator seems to proceed from the possibility of predicting the i+1th element of a series of values. That’s not what’s in play, per se, here. The question is merely whether a single value is random. You seem to be conflating the concepts.
For my purposes, the following three examples are examples of randomness:
  1. Tossing a fair die and listing the numbers obtained.
  2. Flipping a fair coin.
  3. White noise consisting of serially uncorrelated random quantities.
#1 and #2 could be predicted, if all the variables were understood and calculated. #3 begs the question, since it presumes “random” (name removed by moderator)uts.

None of these helps your argument. 🤷‍♂️
I do not believe this to be true
Your belief doesn’t come into play. Neither does our current ability to predict events at gambling tables. 😉
To continue the discussion there has to be agreement on what is meant by a random sequence
You can recognize that you’ve moved the goalposts, right? We weren’t talking about “sequences”…
 
but how can you demonstrate that there’s no order?
By the lack of serial correlation or equivalently that the Walsh power spectrum is flat.
We weren’t talking about “sequences”…
The list of numbers obtained from a die toss or from flipping a coin is an example of a sequence.
Random sequences are a particular form of randomness and so should be easier to understand.
 
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The list of numbers obtained from a die toss or from flipping a coin is an example of a sequence.
Sure, but we were talking about a single occurrence. How might you demonstrate that a single die toss provides a “random” result?
 
So some philosophers and physicists have argued that Quantum Mechanics disproves a deterministic universe (although the debate is by no means settled on this issue), yet at the same time the outcome of the wave function when it collapses is entirely random, nobody actually “chooses” the outcome, an electron is either spin up or spin down in whatever axes it’s on. It’s a 50/50 chance and the outcome is completely random. This might show that determinism is false…
One day the topic in one of my college physics classes was the polarization of reflected light. The prof said that light isn’t reflected in the same way that a ball or a sound wave bounces off a wall, but that the incident photon is actually absorbed by an atom in the surface and immediately re-emitted. That astounded me. I asked how, if that were true, the emitted photon could maintain the angle of incidence AND the wave could be polarized to the plane of the surface, given that decay events are usually understood to be both indeterminate and random. His reply was “that’s an excellent question. No one knows, if you want a Nobel Prize figure it out.”
 
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Ahh… but how can you demonstrate that there’s no order?
This reminds me of the way that data encryption can yield a data string that appears to be random to everyone who doesn’t have the key, and indeed even to those who have the key but haven’t used it yet. In the case of such a string, to say that it is truly random is to say that there is no key, that there is no underlying order (dare I use the term hypostasis?) which gives meaning to seemingly random events.
 
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So some philosophers and physicists have argued that Quantum Mechanics disproves a deterministic universe (although the debate is by no means settled on this issue), yet at the same time the outcome of the wave function when it collapses is entirely random, nobody actually “chooses” the outcome
That’s right. I think non-determinism only allows for the possibility that a free-agent can determine a physical outcome without being determined by something else. But that only works if the free-agent is not itself a natural part of the physical process, but is instead something that is intervening in the process. If we are entirely governed by the sames rules that are expressed by a non-deterministic system then we cannot choose the outcome. Like you said a non-deterministic physical outcome by itself is random and is not the result of intention.

Non-determinism does not imply freewill at all. We cannot make physical sense of free-will regardless of whether or not you have a deterministic or non-deterministic universe. I would not expect freewill to exist if only physical rules exist.
 
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I would not expect freewill to exist if only physical rules exist.
That us an interesting statement. I suppose I agree. It’s hard to say, since I certainly attribute free will to the soul. If the materialists were right, there us no supernatural, could there be free will? It’s almost impossible for me to imagine such a scenario in order to speculate.
 
#1 and #2 could be predicted, if all the variables were understood and calculated.
No because you would have to be able to measure the initial conditions perfectly, which is not possible. It is not just a matter of calculation, nor is it just a matter of understanding the variables. There is the problem of the measurement of the initial conditions. The measurement of the initial conditions must come before any calculation is done and of course the initial conditions are changing with each toss of the die. Secondly, because of the uncertainty in the measurement of the initial conditions and because the system has nonlinear components, the chaotic butterfly effect will kick in and there is no way of predicting what the next toss will be. There is no algorithm or key which will give the next number. The results are random, and unpredictable, but they are deterministic since they follow Newton’s laws of motion.
As I said originally, nondeterministic and random are two different concepts. The topic concerns nondeterminism and whether or not it implies free will.
Here is my answer to the original question:
Nondeterminism does not imply free will but if your choice is determined by some mechanism outside of your control, then of course it is not free.
 
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No because you would have to be able to measure the initial conditions perfectly, which is not possible.
Let me fix that for you: “you would have to be able to measure the initial conditions perfectly, which is not possible with current technology.”

There we go. That’s better. 😉

In a forum on philosophy, shouldn’t we be talking about what is possible, and not what is merely available with present technology? After all, generations ago, folks would have said what you just did, but in the context of weather forecasting, eclipses, and other natural occurrences that they couldn’t predict at the time. 🤔
 
No. It is impossible to measure perfectly because of the uncertainty principle.
Does the Uncertainty Principle actually apply to something as large as a die? Or for that matter anything large enough to see with the naked eye? Genuine question - I always understood that it only applied to what I remember being referred to as sub-atomic particles, but I am more than willing to be educated on this.
 
Does the Uncertainty Principle actually apply to something as large as a die?
It applies to the measurement of the initial conditions or conditions required for the calculation of the result of the toss - such as for example the initial height of the die from sea level (gravitational force on the die) and the initial placement of the die in the cup and the length of time you take to shake the die, the velocity of the die as it is tossed from the cup, etc. None of these quantities can be measured with absolute precision no matter what technology you are using.
Of course you are correct that it will be Newton’s laws of motion and not quantum mechanics that apply when calculating the motion of the die. Chaotic motion is deterministic but sensitive to the initial conditions.
 
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