Category Archives: Associativity

Peano Axioms Associativity of Addition

Associativity of Addition is one of the easy induction proofs. A short example is here. http://homepages.math.uic.edu/~libgober/math215/export/215problem.pdf Aitken lectures http://public.csusm.edu/aitken_html/m378/Ch1PeanoAxioms.pdf BYU lectures http://www.math.byu.edu/~andy/math190_Ch1.pdf The following skips associative but does discuss commutative and proof by induction. http://catdir.loc.gov/catdir/samples/cam031/82004206.pdf More difficult to read perhaps: … Continue reading

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Composition of Functions is Associative

We want to prove that composition of functions is associative. ==Part 1 Suppose we have Base input: w x = h(w) y = g(x) z = f(y) We can form the ordered pair (w,z). This reflects composition of the functions … Continue reading

Posted in American Math Professors, Associativity, Associativity of Functions, Dedekind proof Associativity of Functions, Joel Feinstein of U Nottingham, Math Professors UK, Robert S. Wilson of Sonoma State U, von Neumann Construction | 1 Comment