What are the statements in: If all prime numbers are odd, then two is odd.
All prime numbers are oddtwo is odd
The given statement is of the form if p then q where p represents the premise or antecedent and q represents the conclusion or consequent.
Premise: All prime numbers are odd
Conclusion: Two is odd
The statement is an example of a conditional statement, also known as an implication. In this statement, the premise establishes a relationship between all prime numbers and being odd. The conclusion follows from this premise, indicating that if the premise is true (that all prime numbers are odd), then the conclusion must also be true (that two is odd).
It is important to note that the statement is false, as the conclusion is not true. Two is not an odd number, as it is divisible by 2 and thus an even number. However, the statement itself is still structured as a valid implication, with a premise and conclusion that are intended to logically relate to each other.
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