Discrete Mathematics with Applications | Fifth Edition
by Susanna S. Epp
Three of the most important kinds of sentences in mathematics are universal statements, conditional statements, and existential statements:
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⏎ A universal statement says that a certain property is true for all elements in a set.
⏎ (For example: All positive numbers are greater than zero.)
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⏎ A conditional statement says that if one thing is true then some other thing also has to be true. (For example: If 378 is divisible by 18, then 378 is divisible by 6.)
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⏎ Given a property that may or may not be true, an existential statement says that there is at least one thing for which the property is true. (For example: There is a prime number that is even.)🏁