Weak prediction principles

Research output: Contribution to journalArticlepeer-review


We prove the consistency of the failure of the weak diamond Φ λ at strongly inaccessible cardinals. On the other hand, we show that the very weak diamond Ψ λ is equivalent to the statement 2 < 2 λ and hence holds at every strongly inaccessible cardinal.

Original languageEnglish
Pages (from-to)109-125
Number of pages17
JournalFundamenta Mathematicae
Issue number2
StatePublished - 2019


  • Radin forcing
  • Very weak diamond
  • Weak diamond

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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