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Actually this is only half true. Formal logic relies on words because some concepts, like finiteness, are impossible to grasp within the formalism itself. A good textbook on this is “Gödel's Theorems and Zermelo's Axioms A Firm Foundation of Mathematics”, which spends the early chapters dedicated to making you aware of this issue.


I'm not sure I follow, under what formalism does "finiteness" become a concept that's impossible to grasp?




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