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    Indestructible Weakly Compact Cardinals and the Necessity of Supercompactness for Certain Proof Schemata.J. D. Hamkins & A. W. Apter - 2001 - Mathematical Logic Quarterly 47 (4):563-572.
    We show that if the weak compactness of a cardinal is made indestructible by means of any preparatory forcing of a certain general type, including any forcing naively resembling the Laver preparation, then the cardinal was originally supercompact. We then apply this theorem to show that the hypothesis of supercompactness is necessary for certain proof schemata.
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  2. Master Index to Volumes 71-80.K. A. Abrahamson, R. G. Downey, M. R. Fellows, A. W. Apter, M. Magidor, M. I. da ArchangelskyDekhtyar, M. A. Taitslin, M. A. Arslanov & S. Lempp - 1996 - Annals of Pure and Applied Logic 80:293-298.
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  3. Four papers by J. Cummings, et al.A. W. Apter - 2002 - Bulletin of Symbolic Logic 8 (4):550-551.
  4. Ignjatovik, A., see Buss, SR.A. W. Apter, M. Magidor, Ch Cornaros & K. Hauser - 1995 - Annals of Pure and Applied Logic 74:297.
     
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