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universal statement
says that a certain property is true for all elements in a set
ex: all positive numbers are greater than zero
conditional statement
says that if one thing is true then some other thing also has to be true
ex: if 378 is divisible by 18, then 378 is divisible by 7
existential statement
give a property that may or may not be true, this statement says that at least one thing for which the property is true
ex: there is a prime number thats even
universal-conditional statements
example: if all animals a, if a is a dog then a is a mammal