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mathematical proof

mathematical proof

1 5.9
A logical argument that shows a mathematical statement is true
  • noun
  • /ˌmæθəˈmætɪkəl pruːf/
  • Specialized
translation icon : prueba matemática
  • Mathematical proofs are awesome.

Do you mean knowing how to do or how to assess a mathematical proof?

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Examples

  • 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.

  • 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.

  • So seeking feedback on your mathematical proofs is extremely challenging.

  • And at that point we have to start looking at actual mathematical proofs of this being the solution to the Einstein problem.

  • And here you can construct A mathematical proof that says the problem is inherently exponential.

  • 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.

  • 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

proof
vsmathematical proof
  • Specialized
36 6.0

A set of logical steps showing a statement is true

is used specifically for theorems, relying on established domain principles to show truth
demonstration
vsmathematical proof
  • Specialized
5 4.1

A clear proof that shows an idea is true

is limited to statements from mathematics, relying on accepted domain principles
logical argument
vsmathematical proof
4 4.3

A set of clear reasons that show why an idea is true or false

is narrower, used only to show mathematical statements true using accepted principles
direct proof
vsmathematical proof
  • Specialized
1 6.6

A way to show something is true by using known facts and simple logical steps

is the general way to demonstrate theorems, not limited to one method
logical proof
vsmathematical proof
  • Specialized
1 5.5

A set of clear steps that show a statement must be true

is specifically about showing theorems in mathematics using accepted principles

How Rigorous

Mizar
  • Specialized
9.9
mathematical proof
  • Specialized
1 5.9

Surface Forms

Morphology

mathematical + proof

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.