Is zero an even or odd number? A students’ guide to the logic behind the answer

Zero is definitively an even number, mathematicians confirm. The formal definition states an even number is any whole number ...
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Decidability of the Existential Theory of the Set of Natural Numbers with Order, Divisibility, Power Functions, Power Predicates, and Constants

We construct an algorithm to test if a system of conditions of the types $\mu < \eta, \mu/\eta, \mu = \eta^a, P_a(\mu), \neg(\mu < \eta), \neg(\mu/\eta), \neg(\mu ...
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Algebra and Number Theory

This course is available on the BSc in Business Mathematics and Statistics, BSc in Mathematics and Economics, BSc in Mathematics with Economics and BSc in Statistics with Finance. This course is ...