caveman1917
Philosopher
- Joined
- Feb 26, 2015
- Messages
- 8,143
Carry on, then. Let's not let precision ever interfere with a discussion of fact. Mathematics and mathematical notation are flexible that way, no?
Mathematics isn't flexible. Mathematical notation is arbitrary. And this isn't even about precision, the following statements:
- for all x in H: we have a body and not a soul
- for all x in ~H: we have a body and a soul
precisely entail:
- for all x in H ∪ ~H: we have a body
(ETA: and it doesn't even matter whether ~ is the complement operator or not for this to be true)
At least the last time (when I said "distinct" instead of "disjoint") you actually had a point. But since you asked:
Define two sets as spojfdsqhop iff they do not have an element in common.
Then: ~H and H are spojfdsqhop and therefor the "conjunction fallacy" argument fails.
See how flexible mathematical notation is? As opposed to mathematics itself? See how the argument still fails no matter what bunch of squiggles we use?
Last edited: