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Author Topic:   What is a Theory?
Huntard
Member (Idle past 2325 days)
Posts: 2870
From: Limburg, The Netherlands
Joined: 09-02-2008


Message 91 of 249 (494164)
01-14-2009 3:32 PM
Reply to: Message 88 by erikp
01-14-2009 3:22 PM


Re: Scope is necessarilly limited
erikp writes:
I have already replied to that in a previous post.
You were wrong though.
Anyway, Gdel writes a good deal about the theory about theories (Wiki):
quote:
a (formal) theory is a set of statements expressed in a particular formal language.
We're not talking about formal theories here, we're talking about scientific ones. And your prediction that it will rain tomorrow is NOT a scientific theory.

I hunt for the truth

This message is a reply to:
 Message 88 by erikp, posted 01-14-2009 3:22 PM erikp has not replied

  
Percy
Member
Posts: 22505
From: New Hampshire
Joined: 12-23-2000
Member Rating: 5.4


Message 92 of 249 (494165)
01-14-2009 3:35 PM
Reply to: Message 89 by erikp
01-14-2009 3:25 PM


Re: Scope is necessarilly limited
erikp writes:
That still means that after the two first consecutive days of rain, it simply rains forever.
Uh, no it doesn't, but if you'd like even more precise language, then how about "A day of non-rain followed by exactly two days of rain are followed by a third day of rain."
But you're losing sight of the point you were trying to make, which I think was that you do too know what constitutes a scientific theory. Can we now agree that it includes a body of data from which general principles are derived that make predictions about future phenomena?
--Percy

This message is a reply to:
 Message 89 by erikp, posted 01-14-2009 3:25 PM erikp has not replied

  
erikp
Member (Idle past 5580 days)
Posts: 71
Joined: 12-23-2008


Message 93 of 249 (494166)
01-14-2009 3:38 PM
Reply to: Message 85 by PaulK
01-14-2009 3:03 PM


Re: All or Nothing
quote:
By your definition a theory isn't false UNTIL the falsifying observation has been made.
Agreed.
But then again, the underlying (but unproven) assumption is that an infinitely falsifiable theory, such as "Water boils at 100 C", must be false, even if we have not made the falsifying observation as yet.
Such theory can still be very useful, though. Scientific theories are usually infinitely falsifiable. In fact, a theory has to be infinitely falsifiable in order to be useful.

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 Message 85 by PaulK, posted 01-14-2009 3:03 PM PaulK has replied

Replies to this message:
 Message 94 by Percy, posted 01-14-2009 3:43 PM erikp has replied
 Message 109 by PaulK, posted 01-14-2009 5:37 PM erikp has not replied
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Percy
Member
Posts: 22505
From: New Hampshire
Joined: 12-23-2000
Member Rating: 5.4


Message 94 of 249 (494167)
01-14-2009 3:43 PM
Reply to: Message 93 by erikp
01-14-2009 3:38 PM


Re: All or Nothing
Are you even listening to yourself? You just said that scientific theories are both useful and false. You really believe you're going to make headway with this?
--Percy

This message is a reply to:
 Message 93 by erikp, posted 01-14-2009 3:38 PM erikp has replied

Replies to this message:
 Message 99 by erikp, posted 01-14-2009 3:57 PM Percy has replied

  
erikp
Member (Idle past 5580 days)
Posts: 71
Joined: 12-23-2008


Message 95 of 249 (494168)
01-14-2009 3:43 PM
Reply to: Message 90 by Percy
01-14-2009 3:31 PM


Re: Scope is necessarilly limited
quote:
Now you're off into the section of the Wikipedia article that talks about mathematical theories. We're talking about scientific theories here. Please stick to the topic.
Mathematical theories are scientific theories. Therefore,it is sufficient to demonstrate that a theory is a mathematical theory, for it to be a scientific theory.
Since "It rains tomorrow" is a mathematical theory (according to the Wikipedia article), it is also a scientific theory.

This message is a reply to:
 Message 90 by Percy, posted 01-14-2009 3:31 PM Percy has replied

Replies to this message:
 Message 96 by Percy, posted 01-14-2009 3:49 PM erikp has replied
 Message 97 by Huntard, posted 01-14-2009 3:51 PM erikp has replied

  
Percy
Member
Posts: 22505
From: New Hampshire
Joined: 12-23-2000
Member Rating: 5.4


Message 96 of 249 (494169)
01-14-2009 3:49 PM
Reply to: Message 95 by erikp
01-14-2009 3:43 PM


Re: Scope is necessarilly limited
erikp writes:
Mathematical theories are scientific theories. Therefore,it is sufficient to demonstrate that a theory is a mathematical theory, for it to be a scientific theory.
No, mathematical theories are not scientific theories. That's why they're covered in different sections of the Wikipedia article on Theory.
Sheesh!
--Percy

This message is a reply to:
 Message 95 by erikp, posted 01-14-2009 3:43 PM erikp has replied

Replies to this message:
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Huntard
Member (Idle past 2325 days)
Posts: 2870
From: Limburg, The Netherlands
Joined: 09-02-2008


Message 97 of 249 (494170)
01-14-2009 3:51 PM
Reply to: Message 95 by erikp
01-14-2009 3:43 PM


Re: Scope is necessarilly limited
erikp writes:
Since "It rains tomorrow" is a mathematical theory
Seriously? You didn't just say that did you? What the hell has gotten into your head? "It rains tomorrow" A mathematical theory? Can I have some of what you're smoking?

I hunt for the truth

This message is a reply to:
 Message 95 by erikp, posted 01-14-2009 3:43 PM erikp has replied

Replies to this message:
 Message 101 by erikp, posted 01-14-2009 4:06 PM Huntard has replied

  
Coyote
Member (Idle past 2136 days)
Posts: 6117
Joined: 01-12-2008


Message 98 of 249 (494171)
01-14-2009 3:55 PM
Reply to: Message 88 by erikp
01-14-2009 3:22 PM


Re: Scope is necessarilly limited
Note that this theory about theories does not require whatsoever, that the set of statements explains anything at all.
This is the problem with philosophy and mathematics; elaborate explanations may not mean anything at all in the real world.
This seems to be true of the "theory" that you have been espousing.
To say that all science is "false" and can never be anything but false seems to be something that the philosophers should debate in private, and wash their hands afterwords.

Religious belief does not constitute scientific evidence, nor does it convey scientific knowledge.

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 Message 88 by erikp, posted 01-14-2009 3:22 PM erikp has not replied

  
erikp
Member (Idle past 5580 days)
Posts: 71
Joined: 12-23-2008


Message 99 of 249 (494172)
01-14-2009 3:57 PM
Reply to: Message 94 by Percy
01-14-2009 3:43 PM


Re: All or Nothing
quote:
You just said that scientific theories are both useful and false.
Exactly. In order to useful, theories must be (infinitely falsifiable and therefore presumably) false.
Stephen Hawking:
quote:
A theory is a good theory if it satisfies two requirements: It must accurately describe a large class of observations on the basis of a model that contains only a few arbitrary elements, and it must make definite predictions about the results of future observations.
A useful theory must make future statements, rendering it unproven. Infinite falsifiability makes such theory useful, unproven, and (presumably) false.

This message is a reply to:
 Message 94 by Percy, posted 01-14-2009 3:43 PM Percy has replied

Replies to this message:
 Message 104 by Percy, posted 01-14-2009 4:16 PM erikp has not replied

  
erikp
Member (Idle past 5580 days)
Posts: 71
Joined: 12-23-2008


Message 100 of 249 (494173)
01-14-2009 4:00 PM
Reply to: Message 96 by Percy
01-14-2009 3:49 PM


Re: Scope is necessarilly limited
quote:
No, mathematical theories are not scientific theories.
Really?

This message is a reply to:
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Replies to this message:
 Message 102 by Granny Magda, posted 01-14-2009 4:06 PM erikp has replied

  
erikp
Member (Idle past 5580 days)
Posts: 71
Joined: 12-23-2008


Message 101 of 249 (494174)
01-14-2009 4:06 PM
Reply to: Message 97 by Huntard
01-14-2009 3:51 PM


Re: Scope is necessarilly limited
quote:
Seriously? You didn't just say that did you?
Of course, I did.
quote:
"It rains tomorrow" A mathematical theory?
{ Rains(17JAN2008) } is a set of statements expressed in a particular formal language, and therefore a theory.

This message is a reply to:
 Message 97 by Huntard, posted 01-14-2009 3:51 PM Huntard has replied

Replies to this message:
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Granny Magda
Member
Posts: 2462
From: UK
Joined: 11-12-2007
Member Rating: 4.1


Message 102 of 249 (494175)
01-14-2009 4:06 PM
Reply to: Message 100 by erikp
01-14-2009 4:00 PM


Re: Scope is necessarilly limited
Yes, really!
In a nutshell, mathematical theories can be proved, scientific theories can't and thus, are always tentative.
Mutate and Survive

"The Bible is like a person, and if you torture it long enough, you can get it to say almost anything you'd like it to say." -- Rev. Dr. Francis H. Wade

This message is a reply to:
 Message 100 by erikp, posted 01-14-2009 4:00 PM erikp has replied

Replies to this message:
 Message 105 by erikp, posted 01-14-2009 4:24 PM Granny Magda has replied

  
Huntard
Member (Idle past 2325 days)
Posts: 2870
From: Limburg, The Netherlands
Joined: 09-02-2008


Message 103 of 249 (494176)
01-14-2009 4:09 PM
Reply to: Message 101 by erikp
01-14-2009 4:06 PM


Re: Scope is necessarilly limited
erikp writes:
{ Rains(17JAN2008) } is a set of statements expressed in a particular formal language, and therefore a theory.
But it is NOT a mathematical theory, which is what you claimed it to be. Further, it rains tomorrow doesn't mean it will rain on the 17th of January, it depends on when the statement is made what tomorrow is. Also, it is not a scientific theory, as has been explained at least 5 times now.

I hunt for the truth

This message is a reply to:
 Message 101 by erikp, posted 01-14-2009 4:06 PM erikp has not replied

  
Percy
Member
Posts: 22505
From: New Hampshire
Joined: 12-23-2000
Member Rating: 5.4


Message 104 of 249 (494177)
01-14-2009 4:16 PM
Reply to: Message 99 by erikp
01-14-2009 3:57 PM


Re: All or Nothing
And how is pushing these weird and contradictory ideas working out for you?
Seriously, Eric, now you're just wasting people's time with the short, glib posts, and they'll eventually get you in trouble with board moderation. You should probably stop posting for a while until you regain your composure.
--Percy
Edited by Percy, : Grammar.

This message is a reply to:
 Message 99 by erikp, posted 01-14-2009 3:57 PM erikp has not replied

  
erikp
Member (Idle past 5580 days)
Posts: 71
Joined: 12-23-2008


Message 105 of 249 (494178)
01-14-2009 4:24 PM
Reply to: Message 102 by Granny Magda
01-14-2009 4:06 PM


Re: Scope is necessarilly limited
quote:
mathematical theories can be proved, scientific theories can't
Wrong.
Mathematical theories are axiomatically reduced, but never proven, because the axioms to which they are (recursively) being reduced, and on which every mathematical statement eventually rests, MAY NOT be proven.
Mathematics demands that its entire hypothesis be concentrated in its axioms, which in turn remain unproven.
The word "proof" in math simply means "axiomatic reduction". This process does not guarantee that there will be no observations that will contradict the theory. So, even mathematics is fundamentally unproven.
Mathematical theories are usually also infinitely falsifiable and therefore presumably false.
For example, "the sum of all angles in a triangle is 180 degrees" is infinitely falsifiable and therefore presumably false. Nobody has managed to prove it, however.
What's more, it is inefficient to disprove this, because its presumed falsehood (hypothesis) is entirely concentrated in the presumed falsehood (hypothesis) of the underlying axioms. Axiomatically reduced statements carry no hypothesis of themselves. Therefore, proving math wrong, should be done by proving one of its axioms to be wrong.

This message is a reply to:
 Message 102 by Granny Magda, posted 01-14-2009 4:06 PM Granny Magda has replied

Replies to this message:
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