(September 25, 2014 at 8:14 pm)Rhythm Wrote:(September 25, 2014 at 8:11 pm)Cthulhu Dreaming Wrote: Not in any traditional sense, no. The classic syllogism has exactly 3 statements: if p then q, p, q. The entire syllogism is not a statement.How is that not a statement? How can we separate any part from another and make such a statement?
If -not p- then what? If I plug that in, in place of your "if p" what happens?
It's not a statement within the realm of classical logic.
Quote:In logic a statement is either (a) a meaningful declarative sentence that is either true or false, or (b) that which a true or false declarative sentence asserts. In the latter case, a statement is distinct from a sentence in that a sentence is only one formulation of a statement, whereas there may be many other formulations expressing the same statement.
In your example, if not-P is indeed true, then we can deduce not-Q. That still doesn't alter in any meaningful way what I've been saying. If you've got an actual argument in that form, by all means, let's dissect it.