Proof of a law versus proof of a theorem

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SUMMARY

The discussion clarifies that in physics, fundamental laws such as Newton's laws of motion and the laws of thermodynamics remain classified as laws regardless of any proof obtained. Proof is a mathematical concept, not applicable to the categorization of physical laws and theories. The distinction between laws and theories is often overstated in public discourse, as physicists find little significance in these labels. The BCS theory of superconductivity and the Standard Model of elementary particles exemplify the fluidity of these classifications within the scientific community.

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  • Understanding of Newton's laws of motion
  • Familiarity with the laws of thermodynamics
  • Basic knowledge of scientific theories and models
  • Awareness of the philosophy of science
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  • Research the implications of the BCS theory of superconductivity
  • Explore the Standard Model of elementary particles
  • Study the philosophy of science regarding laws and theories
  • Investigate the role of mathematical proof in scientific discourse
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Students of physics, educators in science, philosophers of science, and anyone interested in the classification and understanding of scientific concepts.

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if I get proof of fundamental laws like Newton's laws of motion or fundamental laws of thermodynamics then will they be laws anymore or will they become theorem.
Please tell
 
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kartikey said:
if I get proof of fundamental laws like Newton's laws of motion or fundamental laws of thermodynamics then will they be laws anymore or will they become theorem.
Please tell
There is no such thing as proof in physics. That's a math thing.
 
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They will still remain 'laws'. A law is just a rule for something that works under certain conditions, while a theory usually contains several laws and explains how they work together.
 
kartikey said:
if I get proof of fundamental laws like Newton's laws of motion or fundamental laws of thermodynamics then will they be laws anymore or will they become theorem.
Please tell

There is a fallacy here into thinking that laws somehow become theories, or theories become laws in physics. There is no such thing. And in fact, among physicists, naming such things as laws, theories, models, etc. is actually quite meaningless and has no significance. The BCS theory of superconductivity has often been referred to as a model, while the Standard Model of elementary particle consists of many theories.

Such categorization is only talked about among the general public, or maybe even historian and philosophers. Somehow, for these people, it is a rather big deal to compartmentalize something as a "model", a "law", or a "theory". I'm guessing that giving something a "label" allows them to think that they understand what it is.

But as far as physics goes, it has very little relevance.

Zz.
 
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