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Ramsey, I0 sets in non-abelian groups, Math. The point is that CHAPTER 1 Logic 9 the hypothesis (2 = 4) is false; thus it doesn’t matter what the truth value of the conclusion is. The arithmetic is probably the best-known type of sequence; it's just a simple counting pattern, such as 1, 2, 3, 4, 5... (this is the one shown in the graph) or 2, 4, 6, 8, 10.... Logic was further developed and systematized by the Stoics and by the medieval scholastic philosophers.