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homework04 - α,β and γ(a α β γ = α β α γ(b...

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Math 5020 Homework 4 due Wednesday, March 30, 2011 Assume ZF - Regularity. 1. Show that there are arbitrarily large limit ordinals, i.e., for any ordinal α there is a limit ordinal β > α . 2. Show that the class of all limit ordinals is a proper class. 3. Show that for all ordinals
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Unformatted text preview: α,β and γ , (a) α · ( β + γ ) = α · β + α · γ (b) α β + γ = α β · α γ (c) ( α β ) γ = α β · γ 4. Find ordinals α,β,γ such that (a) α < β and α + γ = β + γ (b) α < β and α · γ = β · γ (c) α < β and α γ = β γ...
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