Michael J. Beeson

"Gottfried Leibniz is famous... for his slogan Calculemus, which means "Let us calculate." He envisioned a formal language to reduce reasoning to calculation, and he said that reasonable men, faced wit…"

"Alan Turing was the first to make a careful analysis of the potential capabilities of machines, inventing his famous "Turing machines" for the purpose. He argued that if any machine could perform a co…"

"Gottlob Frege created modern logic including "for all," "there exists," and rules of proof. Leibniz and Boole had dealt only with what we now call "propositional logic" . They also did not concern the…"

"Bertrand Russell found Frege's famous error: Frege had overlooked what is now known as the Russell paradox. Namely, Frege's rules allowed one to define the class of x such that P is true for any "conc…"

"Michael J. Beeson, Biographical Sketch"

"George Boole took up Leibniz's idea, and wrote a book he called . The laws he formulated are now called... Boole seems to have had a grandiose vision about the applicability of his algebraic methods t…"