Mathematical Logic Terminology

noun the act of drawing a line around something

• The circumscription of the land was clearly marked by the stone pillars.
• They put up a fence to show the circumscription of their property.
• The cops drew a circumscription around the crime scene with caution tape.
• The circumscription of her responsibilities left her feeling trapped and limited.

noun a state of being incomplete or not finished

• The incompleteness of the data set led to inconclusive results.
• The project was left with incompleteness, so we couldn't finish it on time.
• The homework was a mess due to all the incompleteness in my notes.
• Her incompleteness in understanding the situation left her feeling lost.

adjective describes something that makes sense or follows a clear and rational thought process

• It is important to follow a logical sequence when presenting your arguments in an academic essay.
• If you think about it logically, it just doesn't make sense to spend all that money on something you don't really need.
• Dude, it's just not logical to drive all the way across town just to get a burger.
• In the game of chess, you have to think several moves ahead and make logical decisions to outsmart your opponent.

adjective describing something that cannot be proven or demonstrated

• The existence of God is often considered unprovable by many philosophers.
• You can argue all day about whether ghosts are real, but it's unprovable.
• That conspiracy theory is totally unprovable, but some people still believe it.
• Her love for him was unprovable, but evident in every action she took.

noun A quantity on which an operation is to be done in mathematics or logic

• In mathematics, an operand is a quantity on which an operation is performed.
• The operand in this equation is the number on the left side.
• Dude, just plug in the operand and you'll get the answer.
• The operand in this situation is the key factor that determines the outcome.

noun a word used to identify any of a class of people, places, or things

preposition a word governing, and usually preceding, a noun or pronoun and expressing a relation to another word or element in the clause

conjunction a word used to connect clauses or sentences or to coordinate words in the same clause

article a word that is used with a noun to indicate the type of reference being made by the noun

• The affirmation of the consequent is a logical fallacy where one assumes that if a statement is true, then its consequent must also be true.
• If you believe that all dogs have fur, then seeing a furry animal and assuming it's a dog is an example of the affirmation of the consequent.
• Don't jump to conclusions just because something matches your initial belief - that's like falling for the affirmation of the consequent.
• In life, making decisions based on assumptions without considering all possibilities is like committing the affirmation of the consequent fallacy.