The Hole Argument in Homotopy Type Theory
Abstract The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new found...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Ladyman, James [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2019 |
|---|
| Schlagwörter: |
|---|
| Anmerkung: |
© The Author(s) 2019 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Foundations of physics - Springer US, 1970, 50(2019), 4 vom: 04. Okt., Seite 319-329 |
|---|---|
| Übergeordnetes Werk: |
volume:50 ; year:2019 ; number:4 ; day:04 ; month:10 ; pages:319-329 |
| Links: |
|---|
| DOI / URN: |
10.1007/s10701-019-00293-9 |
|---|
| Katalog-ID: |
OLC203911615X |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | OLC203911615X | ||
| 003 | DE-627 | ||
| 005 | 20230504130450.0 | ||
| 007 | tu | ||
| 008 | 200819s2019 xx ||||| 00| ||eng c | ||
| 024 | 7 | |a 10.1007/s10701-019-00293-9 |2 doi | |
| 035 | |a (DE-627)OLC203911615X | ||
| 035 | |a (DE-He213)s10701-019-00293-9-p | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | 4 | |a 570 |a 530 |q VZ |
| 084 | |a 11 |a 12 |a 5,21 |2 ssgn | ||
| 100 | 1 | |a Ladyman, James |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a The Hole Argument in Homotopy Type Theory |
| 264 | 1 | |c 2019 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
| 338 | |a Band |b nc |2 rdacarrier | ||
| 500 | |a © The Author(s) 2019 | ||
| 520 | |a Abstract The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory (HoTT), to the Hole Argument. It is argued that the framework of HoTT provides a natural resolution of the Hole Argument. The role of the Univalence Axiom in the treatment of the Hole Argument in HoTT is clarified. | ||
| 650 | 4 | |a Hole argument | |
| 650 | 4 | |a Homotopy type theory | |
| 650 | 4 | |a General covariance | |
| 650 | 4 | |a Univalence | |
| 700 | 1 | |a Presnell, Stuart |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Foundations of physics |d Springer US, 1970 |g 50(2019), 4 vom: 04. Okt., Seite 319-329 |w (DE-627)130020907 |w (DE-600)421748-2 |w (DE-576)015562387 |x 0015-9018 |7 nnns |
| 773 | 1 | 8 | |g volume:50 |g year:2019 |g number:4 |g day:04 |g month:10 |g pages:319-329 |
| 856 | 4 | 1 | |u https://doi.org/10.1007/s10701-019-00293-9 |z lizenzpflichtig |3 Volltext |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a SYSFLAG_A | ||
| 912 | |a GBV_OLC | ||
| 912 | |a SSG-OLC-PHY | ||
| 912 | |a SSG-OLC-AST | ||
| 912 | |a SSG-OPC-AST | ||
| 912 | |a GBV_ILN_22 | ||
| 912 | |a GBV_ILN_70 | ||
| 951 | |a AR | ||
| 952 | |d 50 |j 2019 |e 4 |b 04 |c 10 |h 319-329 | ||
| author_variant |
j l jl s p sp |
|---|---|
| matchkey_str |
article:00159018:2019----::hhlagmnihmtp |
| hierarchy_sort_str |
2019 |
| publishDate |
2019 |
| allfields |
10.1007/s10701-019-00293-9 doi (DE-627)OLC203911615X (DE-He213)s10701-019-00293-9-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Ladyman, James verfasserin aut The Hole Argument in Homotopy Type Theory 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory (HoTT), to the Hole Argument. It is argued that the framework of HoTT provides a natural resolution of the Hole Argument. The role of the Univalence Axiom in the treatment of the Hole Argument in HoTT is clarified. Hole argument Homotopy type theory General covariance Univalence Presnell, Stuart aut Enthalten in Foundations of physics Springer US, 1970 50(2019), 4 vom: 04. Okt., Seite 319-329 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:50 year:2019 number:4 day:04 month:10 pages:319-329 https://doi.org/10.1007/s10701-019-00293-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_22 GBV_ILN_70 AR 50 2019 4 04 10 319-329 |
| spelling |
10.1007/s10701-019-00293-9 doi (DE-627)OLC203911615X (DE-He213)s10701-019-00293-9-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Ladyman, James verfasserin aut The Hole Argument in Homotopy Type Theory 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory (HoTT), to the Hole Argument. It is argued that the framework of HoTT provides a natural resolution of the Hole Argument. The role of the Univalence Axiom in the treatment of the Hole Argument in HoTT is clarified. Hole argument Homotopy type theory General covariance Univalence Presnell, Stuart aut Enthalten in Foundations of physics Springer US, 1970 50(2019), 4 vom: 04. Okt., Seite 319-329 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:50 year:2019 number:4 day:04 month:10 pages:319-329 https://doi.org/10.1007/s10701-019-00293-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_22 GBV_ILN_70 AR 50 2019 4 04 10 319-329 |
| allfields_unstemmed |
10.1007/s10701-019-00293-9 doi (DE-627)OLC203911615X (DE-He213)s10701-019-00293-9-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Ladyman, James verfasserin aut The Hole Argument in Homotopy Type Theory 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory (HoTT), to the Hole Argument. It is argued that the framework of HoTT provides a natural resolution of the Hole Argument. The role of the Univalence Axiom in the treatment of the Hole Argument in HoTT is clarified. Hole argument Homotopy type theory General covariance Univalence Presnell, Stuart aut Enthalten in Foundations of physics Springer US, 1970 50(2019), 4 vom: 04. Okt., Seite 319-329 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:50 year:2019 number:4 day:04 month:10 pages:319-329 https://doi.org/10.1007/s10701-019-00293-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_22 GBV_ILN_70 AR 50 2019 4 04 10 319-329 |
| allfieldsGer |
10.1007/s10701-019-00293-9 doi (DE-627)OLC203911615X (DE-He213)s10701-019-00293-9-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Ladyman, James verfasserin aut The Hole Argument in Homotopy Type Theory 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory (HoTT), to the Hole Argument. It is argued that the framework of HoTT provides a natural resolution of the Hole Argument. The role of the Univalence Axiom in the treatment of the Hole Argument in HoTT is clarified. Hole argument Homotopy type theory General covariance Univalence Presnell, Stuart aut Enthalten in Foundations of physics Springer US, 1970 50(2019), 4 vom: 04. Okt., Seite 319-329 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:50 year:2019 number:4 day:04 month:10 pages:319-329 https://doi.org/10.1007/s10701-019-00293-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_22 GBV_ILN_70 AR 50 2019 4 04 10 319-329 |
| allfieldsSound |
10.1007/s10701-019-00293-9 doi (DE-627)OLC203911615X (DE-He213)s10701-019-00293-9-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Ladyman, James verfasserin aut The Hole Argument in Homotopy Type Theory 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory (HoTT), to the Hole Argument. It is argued that the framework of HoTT provides a natural resolution of the Hole Argument. The role of the Univalence Axiom in the treatment of the Hole Argument in HoTT is clarified. Hole argument Homotopy type theory General covariance Univalence Presnell, Stuart aut Enthalten in Foundations of physics Springer US, 1970 50(2019), 4 vom: 04. Okt., Seite 319-329 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:50 year:2019 number:4 day:04 month:10 pages:319-329 https://doi.org/10.1007/s10701-019-00293-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_22 GBV_ILN_70 AR 50 2019 4 04 10 319-329 |
| language |
English |
| source |
Enthalten in Foundations of physics 50(2019), 4 vom: 04. Okt., Seite 319-329 volume:50 year:2019 number:4 day:04 month:10 pages:319-329 |
| sourceStr |
Enthalten in Foundations of physics 50(2019), 4 vom: 04. Okt., Seite 319-329 volume:50 year:2019 number:4 day:04 month:10 pages:319-329 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| topic_facet |
Hole argument Homotopy type theory General covariance Univalence |
| dewey-raw |
570 |
| isfreeaccess_bool |
false |
| container_title |
Foundations of physics |
| authorswithroles_txt_mv |
Ladyman, James @@aut@@ Presnell, Stuart @@aut@@ |
| publishDateDaySort_date |
2019-10-04T00:00:00Z |
| hierarchy_top_id |
130020907 |
| dewey-sort |
3570 |
| id |
OLC203911615X |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC203911615X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230504130450.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2019 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10701-019-00293-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC203911615X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10701-019-00293-9-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">570</subfield><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11</subfield><subfield code="a">12</subfield><subfield code="a">5,21</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ladyman, James</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Hole Argument in Homotopy Type Theory</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2019</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s) 2019</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory (HoTT), to the Hole Argument. It is argued that the framework of HoTT provides a natural resolution of the Hole Argument. The role of the Univalence Axiom in the treatment of the Hole Argument in HoTT is clarified.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hole argument</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homotopy type theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">General covariance</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Univalence</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Presnell, Stuart</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Foundations of physics</subfield><subfield code="d">Springer US, 1970</subfield><subfield code="g">50(2019), 4 vom: 04. Okt., Seite 319-329</subfield><subfield code="w">(DE-627)130020907</subfield><subfield code="w">(DE-600)421748-2</subfield><subfield code="w">(DE-576)015562387</subfield><subfield code="x">0015-9018</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:50</subfield><subfield code="g">year:2019</subfield><subfield code="g">number:4</subfield><subfield code="g">day:04</subfield><subfield code="g">month:10</subfield><subfield code="g">pages:319-329</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10701-019-00293-9</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-AST</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-AST</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">50</subfield><subfield code="j">2019</subfield><subfield code="e">4</subfield><subfield code="b">04</subfield><subfield code="c">10</subfield><subfield code="h">319-329</subfield></datafield></record></collection>
|
| author |
Ladyman, James |
| spellingShingle |
Ladyman, James ddc 570 ssgn 11 misc Hole argument misc Homotopy type theory misc General covariance misc Univalence The Hole Argument in Homotopy Type Theory |
| authorStr |
Ladyman, James |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)130020907 |
| format |
Article |
| dewey-ones |
570 - Life sciences; biology 530 - Physics |
| delete_txt_mv |
keep |
| author_role |
aut aut |
| collection |
OLC |
| remote_str |
false |
| illustrated |
Not Illustrated |
| issn |
0015-9018 |
| topic_title |
570 530 VZ 11 12 5,21 ssgn The Hole Argument in Homotopy Type Theory Hole argument Homotopy type theory General covariance Univalence |
| topic |
ddc 570 ssgn 11 misc Hole argument misc Homotopy type theory misc General covariance misc Univalence |
| topic_unstemmed |
ddc 570 ssgn 11 misc Hole argument misc Homotopy type theory misc General covariance misc Univalence |
| topic_browse |
ddc 570 ssgn 11 misc Hole argument misc Homotopy type theory misc General covariance misc Univalence |
| format_facet |
Aufsätze Gedruckte Aufsätze |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
nc |
| hierarchy_parent_title |
Foundations of physics |
| hierarchy_parent_id |
130020907 |
| dewey-tens |
570 - Life sciences; biology 530 - Physics |
| hierarchy_top_title |
Foundations of physics |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 |
| title |
The Hole Argument in Homotopy Type Theory |
| ctrlnum |
(DE-627)OLC203911615X (DE-He213)s10701-019-00293-9-p |
| title_full |
The Hole Argument in Homotopy Type Theory |
| author_sort |
Ladyman, James |
| journal |
Foundations of physics |
| journalStr |
Foundations of physics |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science |
| recordtype |
marc |
| publishDateSort |
2019 |
| contenttype_str_mv |
txt |
| container_start_page |
319 |
| author_browse |
Ladyman, James Presnell, Stuart |
| container_volume |
50 |
| class |
570 530 VZ 11 12 5,21 ssgn |
| format_se |
Aufsätze |
| author-letter |
Ladyman, James |
| doi_str_mv |
10.1007/s10701-019-00293-9 |
| dewey-full |
570 530 |
| title_sort |
the hole argument in homotopy type theory |
| title_auth |
The Hole Argument in Homotopy Type Theory |
| abstract |
Abstract The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory (HoTT), to the Hole Argument. It is argued that the framework of HoTT provides a natural resolution of the Hole Argument. The role of the Univalence Axiom in the treatment of the Hole Argument in HoTT is clarified. © The Author(s) 2019 |
| abstractGer |
Abstract The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory (HoTT), to the Hole Argument. It is argued that the framework of HoTT provides a natural resolution of the Hole Argument. The role of the Univalence Axiom in the treatment of the Hole Argument in HoTT is clarified. © The Author(s) 2019 |
| abstract_unstemmed |
Abstract The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory (HoTT), to the Hole Argument. It is argued that the framework of HoTT provides a natural resolution of the Hole Argument. The role of the Univalence Axiom in the treatment of the Hole Argument in HoTT is clarified. © The Author(s) 2019 |
| collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_22 GBV_ILN_70 |
| container_issue |
4 |
| title_short |
The Hole Argument in Homotopy Type Theory |
| url |
https://doi.org/10.1007/s10701-019-00293-9 |
| remote_bool |
false |
| author2 |
Presnell, Stuart |
| author2Str |
Presnell, Stuart |
| ppnlink |
130020907 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1007/s10701-019-00293-9 |
| up_date |
2024-07-03T21:36:24.784Z |
| _version_ |
1803595373382467584 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC203911615X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230504130450.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2019 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10701-019-00293-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC203911615X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10701-019-00293-9-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">570</subfield><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11</subfield><subfield code="a">12</subfield><subfield code="a">5,21</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ladyman, James</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Hole Argument in Homotopy Type Theory</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2019</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s) 2019</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory (HoTT), to the Hole Argument. It is argued that the framework of HoTT provides a natural resolution of the Hole Argument. The role of the Univalence Axiom in the treatment of the Hole Argument in HoTT is clarified.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hole argument</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homotopy type theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">General covariance</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Univalence</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Presnell, Stuart</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Foundations of physics</subfield><subfield code="d">Springer US, 1970</subfield><subfield code="g">50(2019), 4 vom: 04. Okt., Seite 319-329</subfield><subfield code="w">(DE-627)130020907</subfield><subfield code="w">(DE-600)421748-2</subfield><subfield code="w">(DE-576)015562387</subfield><subfield code="x">0015-9018</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:50</subfield><subfield code="g">year:2019</subfield><subfield code="g">number:4</subfield><subfield code="g">day:04</subfield><subfield code="g">month:10</subfield><subfield code="g">pages:319-329</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10701-019-00293-9</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-AST</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-AST</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">50</subfield><subfield code="j">2019</subfield><subfield code="e">4</subfield><subfield code="b">04</subfield><subfield code="c">10</subfield><subfield code="h">319-329</subfield></datafield></record></collection>
|
| score |
7.398527 |