false theorem
[/fɔːls θɪˈɒrəm/]
nounpl: false theorems
teorema falso
1. A mathematical or logical statement presented as a theorem but which is actually incorrect or cannot be proven true from established axioms
The student's proof contained a false theorem that assumed the existence of a solution without proper justification.
A prova do estudante continha um teorema falso que assumia a existência de uma solução sem justificativa apropriada.
2. A proposition claimed to be true but whose proof contains a logical error or flaw
Mathematicians spent years trying to verify what turned out to be a false theorem.
Os matemáticos passaram anos tentando verificar o que se revelou ser um teorema falso.
This term is primarily used in academic and mathematical contexts in both Brazil and the USA. In mathematics education, identifying false theorems is an important exercise for developing critical thinking and understanding the rigor required in mathematical proof. The concept is central to mathematical discourse and peer review processes.
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