I cant believe these two have been going on for three pages on whether or not logic is a "science".
Its just a word.
Ive never heard the phrase "science of logic" or "logic science" used before and I had to build a microprocessor using and/not/or/nand gates. However, almost anything can be considered a "science" if you simply use the word to describe "the study of...X" and a lot of people do.
In my view, a science is something in the natural world we run experiments on and make predictions about.
In Chemistry, we run experiments and make predictions about chemical interactions etc. That definition fits for Physics, Astronomy, Biology...
In that sense of the word, "logic" wouldnt really be a science, but that also would mean "political science", "computer science", "social science", "economic science" etc are really sciences either.