Diagraming No As are Bs

[jgray]

Would I diagram "No As are Bs" as "No A-->B" or "A-->No B?"

In describing this situation, I would say that If you are an A, then you are not a B. However, I could also see if you're a B, then you're not an A.

thanks.

[Dave Killoran]

Hi J,

It's A B, which then can be transformed into A B.

The key here is to consider what you know about each group:

• Based on that statement, if you are an A, what do you know? That you are not a B. That's A B.
  
  If you are not an A, what do you know? Nothing. Thus, A B is NOT applicable.
  
  If you are a B, what do you know? That you not an A. That's B A. That's also the contrapositive of the first statement above, and why this all results in a double-not arrow.
  
  And last, if you are not a B, what do you know? Nothing again.

Thus, the end results is that the "no" modifies A, but it indicates that "no member of A has the characteristic of B," which results in the diagrams above.

Please let me know if that helps. Thanks!

[jgray]

Roger, thanks.