Quote:
Originally Posted by yaser
A possible target function is any function that could have generated the 5 data points in this problem, i.e., any function whose values on these five points all agree with the data.
There are points in the input space here, which are all binary combinations of the 3 input variables from to . For each of these points, a Boolean function may return 0 or 1; hence two possibilities. Therefore, for all 8 points, a Boolean function may return (8 times) possibilities, which gives us the number of different Boolean functions .

Dr. Yaser or anyone, I am a little lost still on this problem set, I think due to a fundamental lack of mathematical knowledge (i.e my fault  I am completely self taught). I am able to visualize the entire boolean set of 8 possible points (000  111)  i.e. the total Xn set, after a little google assistance on boolean number theory but then I get lost in attempting to understand how to compare the other Boolean functions not in X to derive the T/F values.
I am assuming it is something fundamental I am missing in boolean mathematics, but am not sure.