> A multi-layer neural net is not limited to vague statistical combinations. It, absolutely, unequivocally, 100% is only limited to statistical inference. That

> A multi-layer neural net is not limited to vague statistical combinations. It, absolutely, unequivocally, 100% is only limited to statistical inference. That's how it works. The problem of linear separability (which is like 60 years old, by the way) has nothing to do with logic, but it's actually a byproduct of (a) the fact that neural networks use linear activation functions, and (b) XOR is not separable by a single hyperplane. Hence, you need multiple layers. No idea how you get to "arbitrary logic" from this.