Mathematical Logic Vocabulary

noun a person or thing that is disjoined or disconnected

adjective disconnected or disjointed

• The disjunct regions of the country have different economic policies.
• The disjunct areas of town have their own rules.
• The disjunct parts of the city do things their own way.
• Her thoughts were disjunct, jumping from one idea to another without connection.

verb to prove (a statement, theory, or belief) to be incorrect or false

• The scientist conducted a series of experiments to disprove the theory.
• She tried to disprove his claim but couldn't find any evidence to support her argument.
• I bet you can't disprove that crazy conspiracy theory floating around.
• No matter how hard he tried, he couldn't disprove the rumors about his past.

noun a fraudulent imitation; a counterfeit

adjective not in accordance with truth or fact; incorrect

• The witness provided false testimony during the trial.
• Don't believe everything he says, he's full of false information.
• She's spreading false rumors about him.
• His smile was false, hiding the pain he felt inside.

noun the act of implying or something that is implied

verb to indicate or suggest without explicitly stating

• The speaker did not directly state his opinion, but his words seemed to imply that he agreed with the proposal.
• She didn't say it outright, but I think she was trying to imply that she didn't want to go to the party.
• I don't want to imply anything, but I heard some gossip about them.
• The painting's use of dark colors can imply a sense of sadness or mystery.

adjective not capable of being demonstrated or proved

• The theory remains indemonstrable due to lack of empirical evidence.
• It's hard to prove because it's indemonstrable.
• That idea is totally indemonstrable, dude.
• Her love for him was indemonstrable, but evident in her actions.

noun the saying of the same thing twice in different words, generally considered to be a fault of style

• The statement 'the sun will rise tomorrow' is a tautology because it is always true.
• Saying 'I am who I am' is kind of a tautology, don't you think?
• It's like saying 'duh, obviously' - total tautology.
• Her constant need for validation is a tautology of her insecurity.

noun a form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises); a syllogism

adjective relating to or based on syllogism; characterized by or involving deductive reasoning

• The philosopher presented a syllogistic argument to support his theory.
• I'm not sure I follow the syllogistic reasoning behind that decision.
• I don't buy into that whole syllogistic mumbo jumbo.
• She constructed a syllogistic web of lies to cover up her actions.

noun a rare or obsolete term for the act of separating or cutting off

• The judge issued an abjunction to prevent the company from releasing the confidential information.
• The boss gave a strict abjunction to stop employees from using their phones during work hours.
• I heard the teacher laid down an abjunction on using phones in class.
• The therapist suggested an abjunction from negative thoughts for a healthier mindset.