Math Hard

Logic & Proof Basics

Test your knowledge of logic and proof basics — the formal rules that define what makes a mathematical argument actually valid.

Questions cover logical operators, tautologies, the contrapositive, De Morgan's laws, and common proof methods like contradiction and induction.

This is the toolkit behind every rigorous mathematical proof — see how solid your grasp of the rules is.

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Sample questions3 of 12 shown
Q1
Which of the following is the definition of a logical proposition?
Q2
What is the logical operator AND (∧) also known as?
Q3
Which of the following are valid methods of mathematical proof? (Select all that apply)
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