to all the philosophy/and or possilbly other major students

[ucbalumnus]

@mynamesnotfred

the first premise reads: A implies B, which also means B will only happen if, and only if, A happens; it can also read “if A then B”.

A → B does not mean that B is true only if A is true. For example:

A = “I live in San Francisco.”
B = “I live in California.”

It is possible for B to be true without A being true (e.g. “I live in Oakland.”). However, if B is false (e.g. “I live in Nevada.”), then A is false (San Francisco is not in Nevada).

So A → B means “if A then B” or “A only if B”, not “B only if A”.