This paper has its origins in a question by Neil Barton on Math.SE, “What is the consistency strength of width-reflection?” Start with one of the foundational relationships of set theory, that of height-reflection — any property true in the universe $V$ is true in some initial segment $V_\kappa$. Then “rotate your head ninety degrees” and consider the corresponding...
Set Theory Seminar (RESCHEDULED from April 12)CUNY Graduate Center, Room 6417Friday, May 17, 10:00-11:45am, 2019Jonas Reitz, CUNYGeneralized Cohen Iterations Adding Cohen subsets to each of a class of cardinals in turn is a common construction in set theory, and underlies many fundamental results. The construction comes in two basic flavors, products (as in Eastonās Theorem on the powers of...
New York City College of Technology Mathematics SeminarThursday, April 11, 2019, 12:45pm-2pm, Room N700 āIt is sometimes claimed to prove the existence of God or of free will, the necessary incompleteness of the Bible or of the U.S. Constitution, or the impossibility of genuine knowledge in mathematicsājust to mention a few of the many alleged applicationsā– Panu Raatikainen, Notices of the...
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