B Implication of Goedel's theorems on physics

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Kurt Gödel's theorems raise questions about the foundations of mathematics and their implications for physics, particularly regarding the proof of non-contradiction. While some argue that Gödel's work suggests limitations in proving the consistency of physics, others contend that physics is an empirical science, not strictly an axiomatic system, and thus does not require the same proofs. The reliability of physics is supported by experimental evidence, which demonstrates its predictive power. The discussion emphasizes a pragmatic approach to understanding physics, suggesting that belief in its non-contradiction is not necessary. Overall, the conversation highlights the ongoing exploration of the relationship between mathematics and physical theories.
aman
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I am a graduated mathematician.

Do you know that Kurt Godel proofed that it is not possible to proof that math is not noncontradiction?
Physicist and a lot of other sciences are based od math.
So, how can you proof that whole physics' is noncontradiction?You just believe in it as someone in God?
 
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aman said:
So, how can you proof that whole physics' is noncontradiction?
You are currently using an artificial computing machine based on quantum theory and probably equipped with wireless communication technology that requires special relativity to understand (and general relativity if it has GPS). You have evidence literally in front of you that our understanding of the world is very, very good. If there's some obscure flaw in the logic of our theoretical models it'll eventually out itself when we try to build something and get contradictory results.
 
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aman said:
So, how can you proof that whole physics' is noncontradiction?
By experiment.

In any case, I think your description above is a mischaracterization of his theorem. But for a correct characterization the answer to your question is still experiment.
 
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aman said:
You just believe in it as someone in God?
All Gods believe in mathematics.
 
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aman said:
So, how can you proof that whole physics' is noncontradiction?
I do not care because we may not be able to know whole physics, only little by little forever.
 
One builds the edifice of Physics brick by brick and occasionally one finds that a section here or there needs to be rebuilt. Perhaps we will get to the end and perhaps we will discover the last brick does not fit. What to do?
 
aman said:
So, how can you proof that whole physics' is noncontradiction?
Goedel's theorem is about axiomatic systems. Physics and other empirical sciences are not axiomatic systems so the theorem does not apply in any useful way.
 
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I see no need to show that Physics is noncontradiction any more than my assumption that my car will get me from a to b tomorrow.
We have a present model for Physics that works (predicts) things more than adequately.
It’s not necessary to believe that there is any fundamental truth about the World so no god-like approach is necessary. We can be pragmatic.
 
aman said:
Do you know that Kurt Godel proofed that it is not possible to proof that math is not noncontradiction?
Physicist and a lot of other sciences are based od math.
So, how can you proof that whole physics' is noncontradiction?
I have not read the article "Goedel and Physics" by John Barrow, I just know that it exists.

https://arxiv.org/abs/physics/0612253
 
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