Chapter 1 The Transfinite Universe W. Hugh Woodin Professor of Mathematics Department of Mathematics University of California, Berkeley

Source URL: logic.harvard.edu

The search for mathmematical truth W. Hugh Woodin Harvard University November 17, 2010

Source URL: logic.harvard.edu

THE EXTENDER ALGEBRA AND Σ21 -ABSOLUTENESS ILIJAS FARAH Abstract. We present a self-contained account of Woodin’s extender algebra and its use in proving absoluteness results, including a proof of the Σ21 -absoluten

Source URL: www.math.yorku.ca

A LIGHTFACE ANALYSIS OF THE DIFFERENTIABILITY RANK LINDA BROWN WESTRICK Abstract. We examine the computable part of the differentiability hierarchy defined by Kechris and Woodin. In that hierarchy, the rank of a differen

Source URL: www.math.uconn.edu

• Ordinal numbers
• Proof theory
• Computability theory
• Mathematical notation
• Ordinal notation
• Continuous function
• Constructible universe
• Limit of a function
• Symbol
• NC
• Computable number
• Fast-growing hierarchy

UNIVERSALLY BAIRE SETS AND GENERIC ABSOLUTENESS TREVOR M. WILSON Abstract. We prove several equivalences and relative consistency results involving notions of generic absoluteness beyond Woodin’s (Σ21 )uBλ e we

Source URL: www.math.uci.edu

POWER SET AT ℵω : ON A THEOREM OF WOODIN MOHAMMAD GOLSHANI Abstract. We give Woodin’s original proof that if there exists a (κ+2)−strong cardinal κ, then there is a generic extension of the universe in which κ

Source URL: math.ipm.ac.ir

KILLING THE GCH EVERYHWERE WITH A SINGLE REAL SY-DAVID FRIEDMAN AND MOHAMMAD GOLSHANI Abstract. Shelah-Woodin [10] investigate the possibility of violating instances of GCH through the addition of a single real. In parti

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WOODIN’S SURGERY METHOD MOHAMMAD GOLSHANI Abstract. In this short paper we give an overview of Woodin’s surgery method. 1. Surgery method for strong cardinals

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1 Back to my personal page Alexander Grothendieck, Donald Knuth, Doron Zeilberger, Stephen Hawking, Kenneth Craik,Timothy Gowers, Andrey Kolmogorov, Harvey Friedman, Philip Davis, ReubenHersh, John McCarthy, Hugh Woodin,

Source URL: www.ltn.lv

THE HOD DICHOTOMY W. HUGH WOODIN, JACOB DAVIS, AND DANIEL RODR´IGUEZ 1. Introduction This paper provides a more accessible account of some of the material from Woodin [4] and [5]. All unattributed results are due to the

Source URL: www.math.cmu.edu