intuitionistic logic
noun
°A type of logic which rejects the axiom law of excluded middle or, equivalently, the law of double negation and/or Peirce's law. It is the foundation of intuitionism.
"Just because is not axiomatically true (for all P) does not mean that is true (for some P); this would lead to the contradiction . In fact, the deduction is not valid in second-order intuitionistic logic."
synonyms: constructivist logic