Linked Questions

85 votes
11 answers
13k views

Why must a physical theory be mathematically self-consistent?

I always read in modern physics textbooks and articles about the need for physical theories to be mathematically self-consistent, which implies that the theories must not produce contradictions or ...
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  • 1,251
117 votes
4 answers
12k views

The Role of Rigor [closed]

The purpose of this question is to ask about the role of mathematical rigor in physics. In order to formulate a question that can be answered, and not just discussed, I divided this large issue into ...
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  • 1,943
35 votes
18 answers
8k views

Can a mathematical proof replace experimentation?

I know that this is very similar to How important is mathematical proof in physics? as well as Is physics rigorous in the mathematical sense? and The Role of Rigor. However, none of the answers to ...
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7 votes
2 answers
7k views

How important is mathematical proof in physics?

How important are proofs in physics? If something is mathematically proven to follow from something we know is true, does it still require experimental verification? Are there examples of things that ...
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9 votes
4 answers
2k views

Final theory in Physics: a mathematical existence proof?

Some time ago, I read something like this about the issue of "a final theory" in Physics: "Concerning the physical laws, we have several positions as scientists There are no ...
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  • 5,373
2 votes
4 answers
2k views

What is fundamentally physically impossible?

Mathematical logic defines quite clearly what is true or false in math, and also that some theorems are impossible to prove. This resulted in some clear definitions of axioms set like Peano, ZF or ZFC,...
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  • 295
1 vote
4 answers
539 views

What is the difference between a physical theory and mathematical theory?

Is there same approach in physical theories like primitive notions,axioms and theorems as in maths ? If it is then is it an only method or approach to study different fields of knowledge?
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  • 119
6 votes
3 answers
1k views

Can we construct Axiomatic system of physical laws?

If we construct axiomatic system of physical laws that are independent one another as in axioms in mathematics, what should they be? Can there be such a finite system of physical laws that can explain ...
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  • 412
0 votes
1 answer
162 views

Has anyone ever created a formal system for quantum mechanics? [duplicate]

I've heard that quantum mechanics is really hard to teach people how to fully understand. Maybe there are some statements that some people seem to be able to prove are true according to a certain ...
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  • 1,546
0 votes
0 answers
60 views

What generates physical meaning in mathematical quantum theory?

Let mathematical quantum theories be theories of Hilbert-space rays together with probability / amplitude / unitary evolution / Hermitian operator machineries. Observations essentially correspond to ...
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