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THE BuLLmN or SYMDouc Loac

Volame 19, Nam.ber 1,March2013

THE HYPERUNIVERSEPROGRAM

TATIANA ARRIGONI AND SY-DAVID FRIEDMAN

Abstract. The Hyperaiwrse Program is a new approach to sel-theoretic truth which is based on justifiable principles and Jeads to the resolution of mamy questions independent from ZFC. The purpose of this paper is to present this program.to illustrate its machematical contept and implications,and to discuss its phitosophical assumptons.

§1. Introduction. The purpose of this paper is to discuss and illustrate the Hyperuniverse Program(as well as the Inner Model Hypothesis (IMH) and its variants as a proposal for realizing it), an approach due to the second author (sce[7])which is inspired by the search for solutions to qucstions known to be independent from the axiomatic system ZFC. ˡ

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