In material implication between two set out to open → b, a is the premise and b the result. We can therefore say that the premise to a sufficient condition for the result b.
Here are some examples:
to "Miao is a cat
b:" Miao is a cat '
to → b: "If Miao is a cat, then is a cat '
Basically it means: Miao to be a cat that is just a cat. While a cat, you must be a feline.
d: "Marco is Italian"
s: "Mark is the Calabrian 's
→ d :" If Marco Calabrese then Italian "
That is, for being Italian enough to be from Calabria, but to be Calabrese you must be Italian.
d → s: "If Marco is Italian, then it is the Calabrian '
things change here, in this logical reasoning is correct regardless of whether it is true or false, since it is only of two sentences connected by a logical connective. But in reality it is a false reasoning, because being Italian does not mean you must also Calabria, so if s is false, d → s is also false .
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