mathematical proof
- noun
- /ˌmæθəˈmætɪkəl pruːf/
- Specialized
- Mathematical proofs are awesome.
Do you mean knowing how to do or how to assess a mathematical proof?
- Do you mean knowing how to do or how to assess a mathematical proof?
- It's not like one of these kind of mathematical problems that we have a mathematical proof that there is no solution to this problem.
Examples
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In this book, von Neumann offered a mathematical proof that an ordinary classical reality could not underlie quantum theory.
Academic text (1993) -
The elegance of a mathematical proof.
Fiction book (1992) -
And this is not by chance this, there is a mathematical proof that this will always happen.
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It's not like one of these kind of mathematical problems that we have a mathematical proof that there is no solution to this problem.
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So seeking feedback on your mathematical proofs is extremely challenging.
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And at that point we have to start looking at actual mathematical proofs of this being the solution to the Einstein problem.
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And here you can construct A mathematical proof that says the problem is inherently exponential.
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If you're curious, you want to have background, you want to know how to write mathematical proofs, and ideally you want to have a lot of math behind you.
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Leung (2005) examined lessons from the TIMSS 1999 Video Study and found that classrooms in Japan spent more time on mathematical proofs and covered more complex material than classrooms in Western countries.
Academic text (2009) -
A mathematical proof shows that the sum of the angles in a triangle is always equal to 180 degrees.
Synonyms
A set of logical steps showing a statement is true
A clear proof that shows an idea is true
A set of clear reasons that show why an idea is true or false
A way to show something is true by using known facts and simple logical steps
A set of clear steps that show a statement must be true
How Rigorous
Surface Forms
Morphology
The meaning is directly compositional: 'proof' (a logical demonstration) is restricted to the domain 'mathematical' (pertaining to mathematics), so a learner who knows both words can infer it denotes a logical argument in mathematics. This noun + adjective combination and the semantics are cross-linguistically common, making the phrase readily understandable to B1 learners.
Etymology
Mathematical proof comes from the idea of proof as clear evidence or a careful test, and in math it means a list of steps that shows a statement is 'true'. Think of it like a staircase where each step follows the last — that's why a mathematical proof must show every step to convince others.