Skip to main content
logical proof

logical proof

1 5.5
A set of clear steps that show a statement must be true
  • noun
  • /ˈlɒdʒɪkəl pruːf/
  • Specialized
translation icon : prueba lógica
  • I learned about logical proofs and reasoning, and I discovered that the same thing applies to words: that it was a logical proof for an idea.

Examples

  • Congratulations to Mechalith on being able to accept logical proof even when it makes your intuition rebel.

    Blog text (15)
  • He thinks we need to actually take that as seriously as we would a logical proof or a metaphysical system.

  • That the sun came up every day for billions of years holds no logical proof that it will come up tomorrow.

    Blog text (13)
  • I was merely trying to explain my personal incredulity, not use it as a logical proof.

    Blog text (26)
  • And here is a technical, logical proof that government has no moral right to tax: Since government gets all of its legitimate authority by delegation from the governed, the government has no authority to force anyone to do anything except what you and I have the moral right to force him to do.

    Blog text (23)
  • Both instructors guided students to consider the logic of each other's explanations and to think about problem solving as crafting a logical proof.

    Academic text (2015)
  • I've discovered that many atheists consider proof to be something physical that you can point to, but even when they say that, they realize that such things as logical proofs—things demonstrable by reasoned discourse—also exist.

    Blog text (21)
  • Mathematicians often rely on a logical proof to establish the validity of a theorem.

  • In philosophy class, we discussed how a logical proof can demonstrate the truth of an argument.

  • The teacher explained that a logical proof involves a series of statements that lead to a conclusion.

Synonyms

proof
vslogical proof
  • Specialized
36 6.0

A set of logical steps showing a statement is true

focuses more on using reasoning to show necessary truth rather than sequence
demonstration
vslogical proof
  • Specialized
5 4.1

A clear proof that shows an idea is true

is the label for a formal showing that uses reason to prove truth
logical argument
vslogical proof
4 4.3

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

requires showing a claim is necessarily true rather than aiming to refute
mathematical proof
vslogical proof
  • Specialized
1 5.9

A logical argument that shows a mathematical statement is true

is broader, applying to any theorem or statement beyond mathematics

How Rigorous

Mizar
  • Specialized
9.9
logical proof
  • Specialized
1 5.5
proof
  • Specialized
36 6.0
intuitional
  • Formal
7.7

Surface Forms

logical proof singular

Morphology

logical + proof

The meaning 'a demonstration using logical reasoning' is directly and transparently derived from combining 'logical' (relating to logic/reasoning) with 'proof' (a demonstration). This compositional adjective + noun pattern is regular and cross-linguistically common, so a B1 learner who knows both words will readily infer the MWE meaning.

Etymology

Logical proof comes from the simple idea of proving something by clear steps. Think of proof as a test and logical as careful reason, like a staircase where each step follows the last, so a logical proof 'shows' that a statement is 'true'.