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arxiv: math/0608641 · v1 · pith:I3PLFYCNnew · submitted 2006-08-25 · 🧮 math.LO

Parametrized diamondsuit principles

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keywords diamondconsequencesprinciplesanalyzingapproachcardinalcollectioncontinuum
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We will present a collection of guessing principles which have a similar relationship to $\diamond$ as cardinal invariants of the continuum have to $\CH$. The purpose is to provide a means for systematically analyzing $\diamond$ and its consequences. It also provides for a unified approach for understanding the status of a number of consequences of $\CH$ and $\diamond$ in models such as those of Laver, Miller, and Sacks.

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