Before revision: Boole's goals were “to go under, over, and beyond” Aristotle's logic by: providing it with mathematical foundations involving equations; extending the class of problems it could treat — from assessing validity to solving equations; and expanding the range of applications it could handle — e.g.
After revision: Boole's goals were “to go under, over, and beyond” Aristotle's logic by: providing it with mathematical foundations involving equations; extending the class of problems it could treat – from assessing validity to solving equations; and expanding the range of applications it could handle – e.g.