Large Cardinals, Inner Models, and Determinacy: An Introductory Overview

Philip D Welch

doi:10.1215/00294527-2835083

Large Cardinals, Inner Models, and Determinacy: An Introductory Overview

Philip D Welch

Research output: Contribution to journal › Article (Academic Journal) › peer-review

280 Downloads (Pure)

Abstract

The interaction between large cardinals, determinacy of two-person perfect information games, and inner model theory has been a singularly powerful driving force in modern set theory during the last three decades. For the outsider the intellectual excitement is often tempered by the somewhat daunting technicalities, and the seeming length of study needed to understand the flow of ideas. The purpose of this article is to try and give a short, albeit rather rough, guide to the broad lines of development.

Original language	English
Pages (from-to)	213-242
Number of pages	30
Journal	Notre Dame Journal of Formal Logic
Volume	56
Issue number	1
Early online date	24 Mar 2015
DOIs	https://doi.org/10.1215/00294527-2835083
Publication status	Published - Mar 2015

Keywords

Determinacy
Inner models
Large cardinals

Access to Document

10.1215/00294527-2835083

tutorial4-June2014
This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Project Euclid at http://projecteuclid.org/euclid.ndjfl/1427202981. Please refer to any applicable terms of use of the publisher.
Accepted author manuscript, 390 KB

Link to publication in Scopus

Fingerprint Dive into the research topics of 'Large Cardinals, Inner Models, and Determinacy: An Introductory Overview'. Together they form a unique fingerprint.

Cite this

@article{0aa45f4091394b8aba8998bb42339c48,

title = "Large Cardinals, Inner Models, and Determinacy: An Introductory Overview",

abstract = "The interaction between large cardinals, determinacy of two-person perfect information games, and inner model theory has been a singularly powerful driving force in modern set theory during the last three decades. For the outsider the intellectual excitement is often tempered by the somewhat daunting technicalities, and the seeming length of study needed to understand the flow of ideas. The purpose of this article is to try and give a short, albeit rather rough, guide to the broad lines of development.",

keywords = "Determinacy, Inner models, Large cardinals",

author = "Welch, {Philip D}",

year = "2015",

month = mar,

doi = "10.1215/00294527-2835083",

language = "English",

volume = "56",

pages = "213--242",

journal = "Notre Dame Journal of Formal Logic",

issn = "0029-4527",

publisher = "Notre Dame University Press",

number = "1",

}

TY - JOUR

T1 - Large Cardinals, Inner Models, and Determinacy

T2 - An Introductory Overview

AU - Welch, Philip D

PY - 2015/3

Y1 - 2015/3

N2 - The interaction between large cardinals, determinacy of two-person perfect information games, and inner model theory has been a singularly powerful driving force in modern set theory during the last three decades. For the outsider the intellectual excitement is often tempered by the somewhat daunting technicalities, and the seeming length of study needed to understand the flow of ideas. The purpose of this article is to try and give a short, albeit rather rough, guide to the broad lines of development.

AB - The interaction between large cardinals, determinacy of two-person perfect information games, and inner model theory has been a singularly powerful driving force in modern set theory during the last three decades. For the outsider the intellectual excitement is often tempered by the somewhat daunting technicalities, and the seeming length of study needed to understand the flow of ideas. The purpose of this article is to try and give a short, albeit rather rough, guide to the broad lines of development.

KW - Determinacy

KW - Inner models

KW - Large cardinals

UR - http://www.scopus.com/inward/record.url?scp=84926667183&partnerID=8YFLogxK

U2 - 10.1215/00294527-2835083

DO - 10.1215/00294527-2835083

M3 - Article (Academic Journal)

AN - SCOPUS:84926667183

VL - 56

SP - 213

EP - 242

JO - Notre Dame Journal of Formal Logic

JF - Notre Dame Journal of Formal Logic

SN - 0029-4527

IS - 1

ER -