PixyMisa
Persnickety Insect
And those physical quantities and relationships are expressed how?Everything in physics is defined in terms of physical quantities and relationships. It is never just mathematics.
And those physical quantities and relationships are expressed how?Everything in physics is defined in terms of physical quantities and relationships. It is never just mathematics.
Everything in physics is defined in terms of physical quantities and relationships. It is never just mathematics.
Further to above.
Is the "two" shared by, for example, two apples, two cows, the two moons of Mars, and two successive sunrises a physical or a mathematical property?
If it's a physical property, then one is implicitly accepting the physicality of mathematical concepts, which means that Turing-equivalence is a physical property as well.
If it's a purely mathematical property, then one is implicitly accepting that mathematical properties can have physical consequences, and therefore a mathematical definition of computation such as Turing-equivalence has consequences that are part of the physical world and can be studied as such.
"Two moons" is a physical property. "Two" is not.
Interestingly, Penrose has a couple of chapters dealing with the reality of mathematics.
*Ahem* Not crystallization...
Crystallization is defined without reference to any specific physical quantities or relationships, because it is relative to each substance that might crystallize.
Yet, you yourself have admitted that crystallization is a physical process.
What gives? (not that any of us are surprised that your arguments are totally inconsistent, I would just hope that eventually you yourself might realize this).
So you admit that purely mathematical similarities -- the same "two" that describes Mars' moons and a pair of apples -- have physical consequences.
Which in turn, suggests that the mathematical similarities defined by "Turing equivalence" can have physical consequences as well.
Which neatly explains what the difference is between a pile of computer parts and a functioning computer. The functioning computer is Turing-equivalent(*); the pile of computer parts is not. In this regard, the pile of computer parts is more similar to a brick or a bucket of mud, which are also NOT Turing-equivalent.
(*) within the limits of finite approximation, as is standard in the mathematical treatment of computers.
And I'm sure they're wrong beyond repair as well. Why break a trend?
If computation is not physical, and consciousness arises from computation, that seems to imply that consciousness isn't physical either.
So, the switching of state of an electron from one orbital to another, where it can only have one of two rigidly defined energy levels, is analogue?
What a curious definition of analogue you are using there.
No, but only because it's unreliable. It is certainly bound by the same computational limitations as the Turing machine.And is a human brain Turing-equivalent?
Not be off by ten orders of magnitude without even realising it... For a start.Decided what Penrose needs to do to be a physicist yet?
Information is specifically physical. Fail.Crystallisation deals with the organisation of atoms. I think we can agree that atoms are physical objects? Whether a solid is crystalline or not depends on the physical relationship between physical objects. That's the difference between an ad hoc description of crystallisation (where atoms form a regular pattern) and your description of computing* which made no reference to anything specifically physical.
Sure , whatever Westprog, I didn't make those claims (but you argued with me any how) and you made a bunch of over general statements (which you refused to clarify and bound), then you use a bunch of sophistry to avoid the issues. I asked you specific questions, I made specific points and you still just wanted to engage in doging and weaving. So ALL the response you made (to me) were not to my posts but some imaginary argument that you had with other people?
Fine , whatever.
You have made up a bogus rule that you can't defend,
I am calling you out on it.
Where else does this exclusionary criteria apply Westprog? You have not furnished ANY evidence that it applies anywhere else except in this specific case of your special pleading.
I have already explianed my defintion of the use of terms, there are a series of criteria, when the process matches the criteria, then the label is applied. Now there are cases where specific negation is sued in the defintion.
You however are engaging in a case of proof through negation in a series of statements when discussing 'digital' vs. 'analog' signals and computers.
So i ask you again,w ehere lse is this exclusionary rule applied, and please remember i am not your imaginary combatant in your imaginary battle with 'stron AI proponents', i am me, and you engaged in sspecif arguments with me.
So again before we return to the issue of digital vs. analog and ultimately to page three and four of the post i ask you again:
Where else does this exclusionary rule apply in the use of labels in discussions and especially in the realm of tools and computers?
Information is specifically physical. Fail.
And is a human brain Turing-equivalent?
This is cutting the Gordian knot all right. It sounds good but all you're really saying is that the computer is [drumroll] a computer.
Physical description of computation still entirely absent.
Decided what Penrose needs to do to be a physicist yet?
And no, DrKitten, transistors are not explicitly digital devices.
And those physical quantities and relationships are expressed how?
As yet unanswered.
This is why it's called the Strong AI hypothesis (or the Church-Turing hypothesis, if you prefer).
Exactly. That's because I do not need to provide a physical description of computation, because computation is not appropriately described in physical, but in functional terms.
And justly so, because you are slipping the term "processed" into the discussion without warrant.
Non-computational systems do not process information; processing is inherently teleological. In that regard, it's like the teleological definition of a digital signal; what makes a signal digital is the response of the receiver in responding identically to two similar signals.
Crystallisation deals with the organisation of atoms. I think we can agree that atoms are physical objects? Whether a solid is crystalline or not depends on the physical relationship between physical objects. That's the difference between an ad hoc description of crystallisation (where atoms form a regular pattern) and your description of computing* which made no reference to anything specifically physical.
There is no problem with general rules that deal with classes of objects. Indeed, that's how science makes sense of the universe. Otherwise we'd have a bunch of unconnected single observations.
*or computation, if you want to keep the pixies happy.