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Unformatted text preview: S n = n-1 for all n ∈ ω . This is not the only way to show this result, but I want people to practice induction in this context. (P2) (3 points) Show that ω and ω + are equivalent; be sure to show the justiﬁcation that your function is one-to-one and onto. This is telling you that ∞ = ∞ + 1 . Ideas (I1) (2-5 points) Is the unexpected examination paradox still paradoxial if there is only one day? Discuss. There is a lot of scope to make this problem either small or large, hence the point range . (I2) (5 points) Write a micro-essay (length: 1 page) describing the roles of Fraenkel and Skolem in extending Zermelo’s axioms to the modern axioms for set theory. Cite sources at least one of which is not Wikipedia. 1...
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This note was uploaded on 01/30/2012 for the course MATH 310 303 taught by Professor Rwk during the Spring '11 term at Simon Fraser.
- Spring '11