The statement you're describing is a form of logical implication often expressed as "If A, then B." In this structure, if A is true, then B must also be true. However, it does not mean that B is always true independently; it is only true when A is true. Therefore, the correct interpretation is that B's truth is contingent upon A being true.
The statement "If A then B" (often written as A → B) means that whenever A is true, B must also be true. However, it does not imply that B is true if A is false; the truth of B is contingent on A being true. In logical terms, the statement is only false if A is true and B is false. Therefore, while A guarantees B, B can still be true independently of A.
true
Yes
Yes, contrapositives are always true, as long as the original statement stood true.
true
always true
always true
intelligence elephant eropalain
No.
true
Objects will always be pulled to the center of the mass.
No.
An example of a conditional statement is: If I throw this ball into the air, it will come down.In "if A then B", A is the antecedent, and B is the consequent.
No. Consider the statement "If I'm alive, then I'm not dead." That statement is true. The converse is "If I'm not dead, then I'm alive.", which is also true.
Proof by Converse is a logical fallacy where one asserts that if the converse of a statement is true, then the original statement must also be true. However, this is not always the case as the converse of a statement may not always hold true even if the original statement is true. It is important to avoid this error in logical reasoning.
a tautology is a statement that is always true. For example p or not p is always true because one of the two is always true.
Yes