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Yes. I generally believe that mathematics is a branch of logic, its special case. You can even call it quantifier logic or something like that. So mathematics is in a sense a sub-section of the philosophy section. I can imagine the outrage this will cause among all sorts of local misosophists.
It was based, of course, because before writing the New Organon by F. Bacon, and partly later, the Organon was a book that every scientist had to know, regardless of his scientific specialization. But still, I wouldn't make a direct connection. Euclid's” principles ” were based not so much on Aristotle as on Plato, as well as on Pythagoras, Hippocrates of Chios, Leontes, Theudius, Eudoxus of Cnidus and other mathematicians.