The Resource Incompleteness for higher-order arithmetic : an example based on Harrington's principle, Yong Cheng
Incompleteness for higher-order arithmetic : an example based on Harrington's principle, Yong Cheng
Resource Information
The item Incompleteness for higher-order arithmetic : an example based on Harrington's principle, Yong Cheng represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Incompleteness for higher-order arithmetic : an example based on Harrington's principle, Yong Cheng represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- Extent
- 1 online resource.
- Contents
-
- Intro; Preface; Acknowledgements; Contents; 1 Introduction and Preliminaries; 1.1 Preliminaries; 1.1.1 Basics of Incompleteness; 1.1.2 Basics of Reverse Mathematics; 1.1.3 Overview of Incompleteness for Higher-Order Arithmetic; 1.1.4 Basics of Set Theory; 1.2 Introduction; References; 2 A Minimal System; 2.1 Preliminaries; 2.1.1 Almost Disjoint Forcing; 2.1.2 The Large Cardinal Notion 0; 2.1.3 Remarkable Cardinal; 2.2 The Strength of Z2+ Harrington's Principle; 2.3 The Strength of Z3+ Harrington's Principle; 2.4 Z4 + Harrington's Principle Implies that 0 Exists; References
- 3 The Boldface Martin-Harrington Theorem in Z23.1 The Boldface Martin Theorem in Z2; 3.2 The Boldface Harrington Theorem in Z2; References; 4 Strengthenings of Harrington's Principle; 4.1 Overview; 4.2 Harrington's Club Shooting Forcing; 4.3 The Strength of Z2 + HP(); 4.4 Subcomplete Forcing; 4.5 The Strength of Z3 + HP(); References; 5 Forcing a Model of Harrington's Principle Without Reshaping; 5.1 Introduction; 5.2 The Notion of Strong Reflecting Property for L-Cardinals; 5.3 Baumgartner's Forcing; 5.4 The First Step; 5.5 The Second Step; 5.6 The Third Step; 5.7 The Fourth Step; References
- Isbn
- 9789811399480
- Label
- Incompleteness for higher-order arithmetic : an example based on Harrington's principle
- Title
- Incompleteness for higher-order arithmetic
- Title remainder
- an example based on Harrington's principle
- Statement of responsibility
- Yong Cheng
- Language
- eng
- Cataloging source
- GW5XE
- http://library.link/vocab/creatorName
- Cheng, Yong
- Dewey number
- 511.3
- Index
- index present
- LC call number
- QA9.54
- LC item number
- .C54 2019eb
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- Series statement
- SpringerBriefs in mathematics,
- http://library.link/vocab/subjectName
- Incompleteness theorems
- Label
- Incompleteness for higher-order arithmetic : an example based on Harrington's principle, Yong Cheng
- Antecedent source
- unknown
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
-
- Intro; Preface; Acknowledgements; Contents; 1 Introduction and Preliminaries; 1.1 Preliminaries; 1.1.1 Basics of Incompleteness; 1.1.2 Basics of Reverse Mathematics; 1.1.3 Overview of Incompleteness for Higher-Order Arithmetic; 1.1.4 Basics of Set Theory; 1.2 Introduction; References; 2 A Minimal System; 2.1 Preliminaries; 2.1.1 Almost Disjoint Forcing; 2.1.2 The Large Cardinal Notion 0; 2.1.3 Remarkable Cardinal; 2.2 The Strength of Z2+ Harrington's Principle; 2.3 The Strength of Z3+ Harrington's Principle; 2.4 Z4 + Harrington's Principle Implies that 0 Exists; References
- 3 The Boldface Martin-Harrington Theorem in Z23.1 The Boldface Martin Theorem in Z2; 3.2 The Boldface Harrington Theorem in Z2; References; 4 Strengthenings of Harrington's Principle; 4.1 Overview; 4.2 Harrington's Club Shooting Forcing; 4.3 The Strength of Z2 + HP(); 4.4 Subcomplete Forcing; 4.5 The Strength of Z3 + HP(); References; 5 Forcing a Model of Harrington's Principle Without Reshaping; 5.1 Introduction; 5.2 The Notion of Strong Reflecting Property for L-Cardinals; 5.3 Baumgartner's Forcing; 5.4 The First Step; 5.5 The Second Step; 5.6 The Third Step; 5.7 The Fourth Step; References
- Control code
- on1119722287
- Dimensions
- unknown
- Extent
- 1 online resource.
- File format
- unknown
- Form of item
- online
- Isbn
- 9789811399480
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-981-13-9949-7
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)1119722287
- Label
- Incompleteness for higher-order arithmetic : an example based on Harrington's principle, Yong Cheng
- Antecedent source
- unknown
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
-
- Intro; Preface; Acknowledgements; Contents; 1 Introduction and Preliminaries; 1.1 Preliminaries; 1.1.1 Basics of Incompleteness; 1.1.2 Basics of Reverse Mathematics; 1.1.3 Overview of Incompleteness for Higher-Order Arithmetic; 1.1.4 Basics of Set Theory; 1.2 Introduction; References; 2 A Minimal System; 2.1 Preliminaries; 2.1.1 Almost Disjoint Forcing; 2.1.2 The Large Cardinal Notion 0; 2.1.3 Remarkable Cardinal; 2.2 The Strength of Z2+ Harrington's Principle; 2.3 The Strength of Z3+ Harrington's Principle; 2.4 Z4 + Harrington's Principle Implies that 0 Exists; References
- 3 The Boldface Martin-Harrington Theorem in Z23.1 The Boldface Martin Theorem in Z2; 3.2 The Boldface Harrington Theorem in Z2; References; 4 Strengthenings of Harrington's Principle; 4.1 Overview; 4.2 Harrington's Club Shooting Forcing; 4.3 The Strength of Z2 + HP(); 4.4 Subcomplete Forcing; 4.5 The Strength of Z3 + HP(); References; 5 Forcing a Model of Harrington's Principle Without Reshaping; 5.1 Introduction; 5.2 The Notion of Strong Reflecting Property for L-Cardinals; 5.3 Baumgartner's Forcing; 5.4 The First Step; 5.5 The Second Step; 5.6 The Third Step; 5.7 The Fourth Step; References
- Control code
- on1119722287
- Dimensions
- unknown
- Extent
- 1 online resource.
- File format
- unknown
- Form of item
- online
- Isbn
- 9789811399480
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-981-13-9949-7
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)1119722287
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Incompleteness-for-higher-order-arithmetic--an/Xbn4ubj2Fg0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Incompleteness-for-higher-order-arithmetic--an/Xbn4ubj2Fg0/">Incompleteness for higher-order arithmetic : an example based on Harrington's principle, Yong Cheng</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>