mathematical statement
Theorem or formula
A mathematical statement is a sentence that can be definitively judged true or false.
The sum of the angles in a triangle equals 180 degrees is a mathematical statement; Math is beautiful is not, because it expresses opinion rather than verifiable fact.
Mathematical statements include axioms, theorems, conjectures, and equations—anything that makes a precise claim about mathematical objects or relationships.
- proofDemonstration of truth
- axiomSelf-evident starting principle
- theoremDemonstrated logical conclusion
- propositionStatement expressing a judgment
- negationDenial or cancellation
equation · equivalence · disjunction · postulate · tautology · mean · corollary · if and only if · implication · given that · number · predicate · biconditional · inequality · median · algorithm · hypothesis · null hypothesis
mathematical statementintuition
Instinctive immediate understanding
guess · hunch · gut feeling · wild guess · instinct
mathematical statementopinion
Subjective personal belief
belief · article of faith · value judgment · dogma · mystical revelation
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