Negating Conditional Statements Question

[EiSa1jei]

Hi,

Started reviewing "Negating Conditional Statements" in Chapter 11. It's stated that the logical negation of

A B

is

A ~B

I'm pretty sure this is incorrect (can be verified with truth tables or boolean algebra, see here: https://math.stackexchange.com/a/633602). The correct logical negation would be as follows:

~(A B) = A and ~B

Is this a known error in the book?

Edit

This question may be more appropriate in the "PowerScore's LSAT Logical Reasoning Bible" forum, whoops!

[Francis O'Rourke]

Hi EiSa,

Take a look at the sidenote to the right of that diagram in chapter 11:

The logical negation as discussed here overstates the case a bit, but it works on LSAT questions. Technically, the logical negation is that A can occur without B necessarily occuring.

[EiSa1jei]

Ah, completely missed that box. Thanks!