Suppose that m is a positive integer. Use mathematical induction to prove that if a and b are integers with a ? b (mod m), then ak = bk (mod m) whenever k is a nonnegative integer.

Metaphysical Rules Naturalism – no god, no magic Materialism no god, no magic Lawfulness – free will Accessibility *EVERYTHING is subject to natural law ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ “Idealism” Rationalism – Logic – deduction – deductive influence Empiricism – Evidence based induction – inductive influence Ecological Modernization Theory Next phase of modernization should be to solve environmental problems Nike considered Reduce toxics Raw materials Reduce adhesives There is a limit to raw materials – profit engine Cradle to Cradle Designed for sustainability Ford Rouge Center Reusable parts All parts can be reused Saving and Profiting