What is a proposition in logic?
A proposition is a sentence that can be true or false.
Proposition Definition
A sentence with a definite truth value.
What does the symbol ∀ represent in logic?
It means "for every" and asserts a proposition holds for all elements of a set.
Universal Quantifier Symbol
∃ means 'there exists'.
When is the negation of proposition P true?
When P is false.
Existential Quantifier Symbol
∃ means 'there exists'.
How do you negate a quantified proposition?
Exchange every ∀ and ∃ and negate the conclusion.
Negation of universal quantifier
Change ∀ to ∃ and negate the predicate.
Logical AND
True if both P and Q are true.
Implication Meaning
If P then Q.
Logical Equivalence
Both P ⇒ Q and Q ⇒ P are true.
Test your knowledge with 11 questions on Logic and Mathematical Reasoning.
1. Which condition makes a sentence a proposition in mathematical logic?
2. What is a proposition in logic?
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