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Originally posted by Watcher-In-The-Shadows
reply to post by Astyanax
Are you really going to start that claim again considering you ran away the last time I tried to debate that with you? Apparently. Though I would accept a "as far as we know" to the beginning of your rather silly statement.
Originally posted by spartacus mills
You're implying that infinity is somehow invalid because it is not physically manifested... yet you are arguing for the validity of a finite definition of Pi according to its description of a two dimensional object, which in themselves are not physically manifested. Using your own logic, there is no such thing as a circle in nature, because nothing in nature exists in two dimensions...
Therefore the concept of a circle is invalid, and by regress, any concept such as Pi that tries to finitely define it is also invalid.
Either infinity is just as valid as Pi, or neither are valid (according to your own logic).
Could you please explain how you know this?
Physical manifestation is not necessarily the only representation of truth.
Originally posted by tobiascore
I disagee about the processing capibilities.
Originally posted by Astyanax
This conceptual Pi - conceived of as the ratio of the circumference to the diameter of a Platonic, ideal circle - is still a finite quantity.
See, it's quite simple. If Pi were infinite, then its value would obviously be greater than any number we can conceive of. And it isn't. It' a value between 3.1 and 3.2.
This is a regressive argument that terminates in the conclusion that all concepts are invalid.
It's a truism in the physical sciences.
Nothing of infinite dimension, of infinite energy, infinite mass, infinite momentum, etc, etc, has ever been observed.
In some cases it's obvious that such things can't exist - infinite energy would consume the universe
...would involve the privileging of frames of reference, which Special Relativity does not permit.
Oh, I think it is. But then, I regard thought as a physical manifestion. I mean - isn't it?
Originally posted by spartacus mills
Originally posted by Astyanax
Pi is a finite quantity.
When you find the point at which Pi's decimal terminates to provide a 100% degree accuracy, then you may have some evidence to support this claim. Let me know when you find it...
On one hand you're claiming it's valid to have an infinitely recurring decimal, yet on the other hand you're claiming it can't in fact be infinite in value.
mathematicians having a hard time accepting the fact that their chosen science can't solve everything.
* * *
If the regression is infinite, then it simply leaves the validity of any concept indeterminate, i.e. no evidence either way.
The lack of observance of something is proof positive that it doesn't exist? Doesn't sound very scientific to me.
What if the universe is infinite? We'd simply have a paradox on our hands. Scientists don't like paradoxes though do they? It's because they imply science can't solve everything.
Special Relativity... has not yet been proven to be 100% accurate.
Oops, looks like you contradicted yourself again. If thought is a physical manifestation, then the 'thought' of infinity is automatically physically manifested by your own logic... Is thought physical, or non-physical? Are my thoughts part of nature, or not?
Once again, let me know when you've 'solved' Pi.
First, you are confusing 'infinite' with 'indefinite'.
Pi is not an infinitely recurring decimal.
There is no such thing as an infinite number.
My dear friend, this has been accepted since around the time of Pythagoras.
According to your ideas of infinity
There it is, right in front of you on the paper, as finite as can be. Measure it. Do you get an infinite value?
I did not say the regression was infinite
It regresses to the terminal proposition 'all propositions are invalid'
...then it is a pretty good assumption that it doesn't exist.
Yes, well, the truth is that we do not have a paradox on our hands.
There is no source of infinite energy seen in the universe and the universe is not seen to be infinite.
It sounds as if you don't like scientists.
Science isn't about hoarding knowledge like holy writ
Scientists aren't motivated by what they already know, but by what they don't.
Please provide one instance in which the predictions of Special Relativity have proved inaccurate.
Your thoughts are part of nature. Thoughts are manifested physically - as brain activity. Infinity is 'manifested physically' as a pattern of electrochemical activity inside your brain. Not an infinite pattern; just a pattern of impulses that occurs when you think about infinity. No contradiction whatsoever.
Originally posted by spartacus mills
I'm not saying Pi when expressed as a number is infinite. I'm simply saying that you have no proof that it isn't.
You seem to be using arguments to disprove infinity that assume that it is a number. 'There are no infinite quantities in nature'. Since 'quantity' necessitates 'value', then your argument is moot. You are right, only by virtue of the argument itself being invalid.
Infinity... is an unbounded quantity that is greater than every real number. Source
I haven't really expressed my ideas about infinity at all.
Those that are making absolute statements about what it is or isn't, or whether or not it exists, may in fact be wrong.
Forgive me if it seems my posts have implied that I know something...
Since the accuracy of the measurement can be infinitely divisible, would it not be more logical to say that the value of the measurement is indeterminate? Any assigning of an actual value will only be an arbitrary one based on an acceptance of an accuracy boundary.
I didn't say you did... But is the proposition 'all propositions are invalid', a valid proposition? It would seem to me to be absurd to terminate regressive propositions with a proposition that is possibly indeterminate. Therefore, it's possible that the regression is infinite...
I would argue that just because something is not seen, it is not absolute proof that it does not exist. There are plenty of things that have been shown to exist, yet defy current scientific theory.
What you seem to be implying is that anything that has yet to be discovered does not yet exist.
You're saying it's wrong of me to 'libel' scientists by making a sweeping statement, yet on the other you are doing just that.
Please provide one instance in which the predictions of Special Relativity have proved inaccurate.
It's not my duty to. They are the ones making the claims, the onus is on them to prove it, which they haven't yet.
What we must consider, is that to have a theory that answers everything, it must allow us to create our own 'existence/universe', otherwise it remains incomplete. I haven't seen any sign of this happening yet.
So what you're saying is that thoughts are physical manifestations, but the things that we think about are not.
Infinity is not a number but it is a quantity.
You have expressed at least two ideas about it: first, that a set of entities exists whose value is infinite, and second, that Pi is one of them. Both ideas are wrong.
Hardly news. But just because an absolute statement may be wrong, it doesn't follow that it is. You have to disprove it first.
So, the keel of your own argument severally holed beneath the waterline, you swim for the life-raft I offered you a few posts ago when I mentioned that no-one has ever seen a perfect circle in nature. Welcome aboard!
You proposed an argument that automatically regresses (whether you like it or not) to the statement 'all statements are invalid', which is itself an invalid statement and nullifies the argument. There's nothing you can do about it - you can't halt the regression halfway.
Could you name one of these fabled things?
On the contrary, you are claiming that Special Relativity has not been proved, so the onus is on you to falsify it.
So the blueprint is identical with the finished artifact?
Originally posted by Astyanax
You are mistaken twice over. First, you are confusing 'infinite' with 'indefinite'.
then human brains would have to have infinite processing capacity. Which they don't, of course.
Originally posted by stander
Can you show the board an example where "infinite" and "indefinite" take on distinctly different meaning?
Hamlet:
O God, I could be bounded in a nutshell, and count myself a king of infinite space—were it not that I have bad dreams.
Guildenstern:
Which dreams indeed are ambition, for the very substance of the ambitious is merely the shadow of a dream.
- Hamlet, Act 2, scene 2
Originally posted by Watcher-In-The-Shadows
And every existing scientific "truth" has replaced an previous scientific "truth". Yet you think that stops with what is currently accepted as truth apparently.
And as to the larger question at hand, oh yes, expect a finite individual of a finite speices living on a finite planet to be truly able to 100% without a shadow of a doubt to find an infinite quality in nature.
But I think I have you're answer in a philosophical sense, the only inifinite quality to be found in nature is change, or Infinite Variability to make a poor attempt at sounding smart.
Originally posted by Astyanax
No, only someone with very little understanding of how science works would think that.
I believe you're starting to repeat yourself.
Actually, it sounds confusing. Why should this be my answer?
Originally posted by Watcher-In-The-Shadows
Originally posted by Astyanax
No, only someone with very little understanding of how science works would think that.
All I have to say is this *though I would love to type soo much more*, I would appreciate it if you kindly kept such BS attempts at belittling me to yourself sir.
Is not change the only constant in the universe?