Document Search Results

Nominalism, the nonexistence of mathematical objects. (English) Zbl 07907717

Davis, Ernest (ed.) et al., Mathematics, substance and surmise. Views on the meaning and ontology of mathematics. Cham: Springer. 133-145 (2015).

MSC: 03A05 00A30

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Berlinski, David

Mathematics and its applications. (English) Zbl 07907716

Davis, Ernest (ed.) et al., Mathematics, substance and surmise. Views on the meaning and ontology of mathematics. Cham: Springer. 101-131 (2015).

MSC: 00A30 03A05 03C50

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Reginatto, Marcel

The geometrical structure of quantum theory as a natural generalization of information geometry. (English) Zbl 1483.53027

Mohammad-Djafari, Ali (ed.) et al., Bayesian inference and maximum entropy methods in science and engineering (MaxEnt 2014), Clos Lucé, Amboise, France, September 21–26, 2014. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1641, 165-172 (2015).

MSC: 53B12 53Z05 81Pxx

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Toth, Imre

Orlando, Teodosio (ed.)

Frege’s philosophy of mathematics. A philosophical restoration, a scientific counter-revolution. Edited by Teodosio Orlando. Translated from the French by Teodosio Orlando. (La filosofia della matematica di Frege. Una restaurazione filosofica, una controrivoluzione scientifica. A cura di Teodosio Orlando.) (Italian) Zbl 1460.03003

Quodlibet Studio. Analisi Filosofiche. Macerata: Quodlibet (ISBN 978-88-7462-740-0/pbk). 189 p. (2015).

Reviewer: Victor V. Pambuccian (Glendale)

MSC: 03-03 03A05 01A60 00A30

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Baldwin, John T.

How big should the monster model be? (English) Zbl 1429.03137

Hirvonen, Åsa (ed.) et al., Logic without borders. Essays on set theory, model theory, philosophical logic and philosophy of mathematics. Ontos Mathematical Logic 5. Berlin: De Gruyter. 31-50 (2015).

MSC: 03C45 14A99

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Aladova, E.; Gvaramia, A.; Plotkin, B.; Plotkin, E.; Plotkin, T.

Logically-geometrical similarity for algebras and models with the same identities. (English) Zbl 1506.08010

Tr. Inst. Mat., Minsk 23, No. 2, 112-122 (2015).

MSC: 08C05 03G27 14A99

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Moretti, Alessio

Arrow-hexagons. (English) Zbl 1371.03012

Koslow, Arnold (ed.) et al., The road to universal logic. Festschrift for the 50th birthday of Jean-Yves Béziau. Volume II. New York, NY: Birkhäuser/Springer (ISBN 978-3-319-15367-4/pbk; 978-3-319-15368-1/ebook). Studies in Universal Logic, 417-487 (2015).

MSC: 03A05 00A30 03B05 03B10 03B45 51L99

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Coppola, Cristina; Gerla, Giangiacomo

Mereological foundations of point-free geometry via multi-valued logic. (English) Zbl 1375.03017

Log. Log. Philos. 24, No. 4, 535-553 (2015).

MSC: 03B30 03A05 03B50 03B52 51F99

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Hellman, Geoffrey; Shapiro, Stewart

Regions-based two dimensional continua: the Euclidean case. (English) Zbl 1372.03026

Log. Log. Philos. 24, No. 4, 499-534 (2015).

MSC: 03B30 51M05 03A05

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Cortese, João Figueiredo Nobre

Infinity between mathematics and apologetics: Pascal’s notion of infinite distance. (English) Zbl 1369.03035

Synthese 192, No. 8, 2379-2393 (2015).

MSC: 03A05 03B30 51-03 51N15 01A55

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Kreinovich, Vladik; Kosheleva, Olga

Towards a physics-motivated small-velocities approximation to general relativity. (English) Zbl 1374.83006

Mat. Strukt. Model. 34, 29-38 (2015).

MSC: 83C25 70A05 53Z05 83C10

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Kosheleva, Olga; Kreinovich, Vladik

Why we need extra physical dimensions: a simple geometric explanation. (English) Zbl 1374.70003

Mat. Strukt. Model. 34, 24-28 (2015).

MSC: 70A05 53Z05

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Dijksterhuis, Fokko Jan

Book review of: V: De Risi (ed.), Mathematizing space. The objects of geometry from antiquity to the early modern age. (Dutch) Zbl 1347.00011

Nieuw Arch. Wiskd. (5) 16, No. 4, 293 (2015).

MSC: 00A17 01-06 01A05 00A30 51-03 70-03 03A05 00B25

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Donev, Stoil; Tashkova, Maria

On the pre-metric formulation and nonlinearization of charge-free electrodynamics. (English) Zbl 1348.78005

J. Geom. Symmetry Phys. 40, 1-24 (2015).

Reviewer: Vladimir Čadež (Beograd)

MSC: 78A02 78A25 83A05 53B50 15A99 37K25

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Sakamoto, Monta; Matsuzoe, Hiroshi

A generalization of independence and multivariate Student’s \(t\)-distributions. (English) Zbl 1396.94038

Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 740-749 (2015).

MSC: 94A15 62B10 82B03

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Beeson, Michael; Boutry, Pierre; Narboux, Julien

Herbrand’s theorem and non-Euclidean geometry. (English) Zbl 1375.03079

Bull. Symb. Log. 21, No. 2, 111-122 (2015).

MSC: 03F65 03B30 51M05 51M15

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Bernard, Julien

Becker-Blaschke problem of space. (English) Zbl 1329.70008

Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 52, Part B, 251-266 (2015).

MSC: 70A05 83C05 53C07 53C25 00A79

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Volkert, Klaus

Book review of: G. Saccheri, Euclid vindicated from every blemish; V. de Risi (ed.), Mathematizing space. The objects of geometry from antiquity to the early modern age. (German) Zbl 1329.00110

Math. Semesterber. 62, No. 2, 252-257 (2015).

MSC: 00A17 01-02 01A20 01A30 01A45 01A50 01A75 01A05 01-06 00A30 51-03 70-03 03A05 00B25

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Donnelly, John

The equivalence of side-angle-side and side-side-side in the absolute plane. (English) Zbl 1331.51010

J. Geom. 106, No. 3, 541-550 (2015).

Reviewer: Erich W. Ellers (Toronto)

MSC: 51F05

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Duarte, Celso De Araujo

The classical geometrization of the electromagnetism. (English) Zbl 1371.78002

Int. J. Geom. Methods Mod. Phys. 12, No. 9, Article ID 1560022, 13 p. (2015).

MSC: 78A02 83A05 83C50 83C22 53Z05

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Álvarez, Pablo Morales; Sánchez, Miguel

A note on the causal homotopy classes of a globally hyperbolic spacetime. (English) Zbl 1327.83012

Classical Quantum Gravity 32, No. 19, Article ID 197001, 12 p. (2015).

MSC: 83C05 54F65 53Z05 83C25 03A05

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Buck, Michel; Dowker, Fay; Jubb, Ian; Surya, Sumati

Boundary terms for causal sets. (English) Zbl 1327.83107

Classical Quantum Gravity 32, No. 20, Article ID 205004, 19 p. (2015).

MSC: 83C45 83C05 53Z05 83C40 03A05

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Owen, David R.; Paroni, Roberto

Optimal flux densities for linear mappings and the multiscale geometry of structured deformations. (English) Zbl 1330.49049

Arch. Ration. Mech. Anal. 218, No. 3, 1633-1652 (2015).

Reviewer: Christopher Policastro (Berkeley)

MSC: 49Q20 74G65 74P10 74M25 74A60 74A99

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Molitor, Mathieu

On the relation between geometrical quantum mechanics and information geometry. (English) Zbl 1328.53044

J. Geom. Mech. 7, No. 2, 169-202 (2015).

MSC: 53C20 58B20 81P99 62B10 76Y99 49Q99

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Choudhury, Binayak S.; Mondal, Himadri S.

Continuous representation of a globally hyperbolic spacetime with non-compact Cauchy surfaces. (English) Zbl 1327.83019

Anal. Math. Phys. 5, No. 2, 183-191 (2015).

MSC: 83C05 83C10 06B35 54F65 53Z05 03A05

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Besnard, Fabien

Noncommutative ordered spaces: examples and counterexamples. (English) Zbl 1327.83192

Classical Quantum Gravity 32, No. 13, Article ID 135024, 26 p. (2015).

MSC: 83C65 54F65 06B35 03A05 22D25

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Ulhoa, S. C.; Santos, A. F.; Amorim, R. G. G.

On non-commutative correction of the Gödel-type metric. (English) Zbl 1327.83304

Gen. Relativ. Gravitation 47, No. 9, Paper No. 99, 8 p. (2015).

MSC: 83F05 83C15 83C65 03A05 83C10

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Maugin, Gérard A.

Some remarks on generalized continuum mechanics. (English) Zbl 1327.74020

Math. Mech. Solids 20, No. 3, 280-291 (2015).

MSC: 74A99

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Mukherjee, Amiya

Differential topology. (English) Zbl 1332.57002

Texts and Readings in Mathematics 72. New Delhi: Hindustan Book Agency (ISBN 978-93-80250-78-6/pbk). xiii, 349 p. (2015).

Reviewer: Július Korbaš (Bratislava)

MSC: 57-01 58-01 57R22 57R35 57R65 57R80 58A05 58A10 58E05 53-01 53C20

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Beeson, Michael

A constructive version of Tarski’s geometry. (English) Zbl 1392.03059

Ann. Pure Appl. Logic 166, No. 11, 1199-1273 (2015).

MSC: 03F65 51M15 51M05 03B30

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Mukherjee, Amiya

Differential topology. 2nd ed. (English) Zbl 1332.57001

New Delhi: Hindustan Book Agency; Cham: Birkhäuser/Springer (ISBN 978-3-319-19044-0/hbk; 978-3-319-36938-9/pbk; 978-3-319-19045-7/ebook). xiii, 348 p. (2015).

Reviewer: Andrew Bucki (Edmond)

MSC: 57-01 53-01 57R12 58A05 57R22 58A10 58C35 57R17

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Bourbaki seminar. Volume 2013/2014. Exposés 1074–1088. (Séminaire Bourbaki. Volume 2013/2014. Exposés 1074–1088.) (English, French) Zbl 1317.00017

Astérisque 367-368. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-804-6/hbk). x, 476 p. (2015).

MSC: 00B25 11-06 14-06 53-06 82-06 35-06 49-06 03-06 46-06

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Canales, Jimena

The physicist and the philosopher. Einstein, Bergson, and the debate that changed our understanding of time. (English) Zbl 1318.00008

Princeton, NJ: Princeton University Press (ISBN 978-0-691-16534-9/hbk; 978-1-400-86577-2/ebook). viii, 479 p. (2015).

Reviewer: Hans-Jürgen Schmidt (Potsdam)

MSC: 00A79 83-02 00A30 03A05 01A60 83-03 01A70 83F05 81S10 83C57 83A05

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Solanki, V.

Equivariant Zariski structures. (English) Zbl 1382.03065

J. Lond. Math. Soc., II. Ser. 91, No. 3, 786-804 (2015).

MSC: 03C65 03C60 14A99 20G42 81R50

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Pirashvili, Ilia

On cohomology and vector bundles over monoid schemes. (English) Zbl 1405.14046

J. Algebra 435, 33-51 (2015).

MSC: 14F05 14A99 20M14

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Hilbert, David

Volkert, Klaus (ed.)

Foundations of geometry (Festschrift 1899). Edited and commented by Klaus Volkert. (Grundlagen der Geometrie (Festschrift 1899).) (German) Zbl 1321.01034

Klassische Texte der Wissenschaft. Heidelberg: Springer Spektrum (ISBN 978-3-662-45568-5/pbk; 978-3-662-45569-2/ebook). xix, 268 p. (2015).

Reviewer: Karin Reich (Berlin)

MSC: 01A55 01-00 01A70 01A75 51-03 51A05

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Gilkey, Peter; Park, JeongHyeong; Vázquez-Lorenzo, Ramón

Aspects of differential geometry II. (English) Zbl 1354.53002

Synthesis Lectures on Mathematics and Statistics 16. San Rafael, CA: Morgan & Claypool Publishers (ISBN 978-1-62705-783-7/pbk; 978-1-62705-784-4/ebook). xiii, 143 p. (2015).

Reviewer: Gabriel Eduard Vilcu (Ploieşti)

MSC: 53-01 53C20 53C22 58A05 26B99

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Ballmann, Werner

Introduction to geometry and topology. (Einführung in die Geometrie und Topologie.) (German) Zbl 1322.57001

Mathematik Kompakt. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0900-9/pbk; 978-3-0348-0901-6/ebook). x, 162 p. (2015).

Reviewer: Werner M. Seiler (Kassel)

MSC: 57-01 57N45 54-01 55-01 53-01 53A04 53A07 58-01 58A05 58A10 58A12

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De Risi, Vincenzo (ed.)

Mathematizing space. The objects of geometry from antiquity to the early modern age. Collected essays based on the presentations at the conference on space, geometry and the imagination from antiquity to the early modern age, Berlin, Germany, August 27–29, 2012. (English) Zbl 1309.01004

Trends in the History of Science. Cham: Birkhäuser/Springer (ISBN 978-3-319-12101-7/hbk; 978-3-319-12102-4/ebook). ix, 318 p. (2015).

MSC: 01-06 01A05 00A30 51-03 70-03 03A05 00B25

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Gilkey, Peter; Park, Jeong Hyeong; Vázquez-Lorenzo, Ramón

Aspects of differential geometry I. (English) Zbl 1354.53001

Synthesis Lectures on Mathematics and Statistics 15. San Rafael, CA: Morgan & Claypool Publishers (ISBN 978-1-62705-662-5/pbk; 978-1-62705-663-2/ebook). xiii, 140 p. (2015).

Reviewer: Gabriel Eduard Vilcu (Ploieşti)

MSC: 53-01 53C20 53C22 58A05 26B99

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Horn, Günter

Elementary geometry and logic. (Elementare Geometrie und Logik.) (German) Zbl 1387.51002

Berichte aus der Mathematik. Aachen: Shaker Verlag (ISBN 978-3-8440-3378-6/pbk). 110 p. (2015).

Reviewer: Teun Koetsier (Amsterdam)

MSC: 51-01 00A35 03-01 51M05

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Rodríguez, Laura

Frigyes Riesz and the emergence of general topology. The roots of ‘topological space’ in geometry. (English) Zbl 1319.01019

Arch. Hist. Exact Sci. 69, No. 1, 55-102 (2015).

Reviewer: Reinhard Siegmund-Schultze (Kristiansand)

MSC: 01A60 54-03 57-03

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Garrity, Thomas A.

Electricity and magnetism for mathematicians. A guided path from Maxwell’s equations to Yang-Mills. (English) Zbl 1337.78001

Cambridge: Cambridge University Press (ISBN 978-1-107-07820-8/hbk; 978-1-107-43516-2/pbk; 978-1-139-93968-3/ebook). xiv, 282 p. (2015).

Reviewer: Georg Hebermehl (Berlin)

MSC: 78-01 78A02 81-01 53C07 53Z05 83A05 47N50 58A10 58Z05 81T13

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Kalinin, Nikita

A guide to tropical modifications. arXiv:1509.03443

Preprint, arXiv:1509.03443 [math.AG] (2015).

MSC: 14T10 14T20 14T90 14B10 05C99

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Shahryari, M.

A new characterization of \(q_{\omega}\)-compact algebras. arXiv:1508.00325

Preprint, arXiv:1508.00325 [math.LO] (2015).

MSC: 03C99 08A99 14A99

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Found 45 Documents (Results 1–45)

Nominalism, the nonexistence of mathematical objects. (English) Zbl 07907717

Mathematics and its applications. (English) Zbl 07907716

The geometrical structure of quantum theory as a natural generalization of information geometry. (English) Zbl 1483.53027

How big should the monster model be? (English) Zbl 1429.03137

Logically-geometrical similarity for algebras and models with the same identities. (English) Zbl 1506.08010

Arrow-hexagons. (English) Zbl 1371.03012

Mereological foundations of point-free geometry via multi-valued logic. (English) Zbl 1375.03017

Regions-based two dimensional continua: the Euclidean case. (English) Zbl 1372.03026

Infinity between mathematics and apologetics: Pascal’s notion of infinite distance. (English) Zbl 1369.03035

Towards a physics-motivated small-velocities approximation to general relativity. (English) Zbl 1374.83006

Why we need extra physical dimensions: a simple geometric explanation. (English) Zbl 1374.70003

Book review of: V: De Risi (ed.), Mathematizing space. The objects of geometry from antiquity to the early modern age. (Dutch) Zbl 1347.00011

On the pre-metric formulation and nonlinearization of charge-free electrodynamics. (English) Zbl 1348.78005

A generalization of independence and multivariate Student’s \(t\)-distributions. (English) Zbl 1396.94038

Herbrand’s theorem and non-Euclidean geometry. (English) Zbl 1375.03079

Becker-Blaschke problem of space. (English) Zbl 1329.70008

Book review of: G. Saccheri, Euclid vindicated from every blemish; V. de Risi (ed.), Mathematizing space. The objects of geometry from antiquity to the early modern age. (German) Zbl 1329.00110

The equivalence of side-angle-side and side-side-side in the absolute plane. (English) Zbl 1331.51010

The classical geometrization of the electromagnetism. (English) Zbl 1371.78002

A note on the causal homotopy classes of a globally hyperbolic spacetime. (English) Zbl 1327.83012

Boundary terms for causal sets. (English) Zbl 1327.83107

Optimal flux densities for linear mappings and the multiscale geometry of structured deformations. (English) Zbl 1330.49049

On the relation between geometrical quantum mechanics and information geometry. (English) Zbl 1328.53044

Continuous representation of a globally hyperbolic spacetime with non-compact Cauchy surfaces. (English) Zbl 1327.83019

Noncommutative ordered spaces: examples and counterexamples. (English) Zbl 1327.83192

On non-commutative correction of the Gödel-type metric. (English) Zbl 1327.83304

Some remarks on generalized continuum mechanics. (English) Zbl 1327.74020

Differential topology. (English) Zbl 1332.57002

A constructive version of Tarski’s geometry. (English) Zbl 1392.03059

Differential topology. 2nd ed. (English) Zbl 1332.57001

Bourbaki seminar. Volume 2013/2014. Exposés 1074–1088. (Séminaire Bourbaki. Volume 2013/2014. Exposés 1074–1088.) (English, French) Zbl 1317.00017

The physicist and the philosopher. Einstein, Bergson, and the debate that changed our understanding of time. (English) Zbl 1318.00008

Equivariant Zariski structures. (English) Zbl 1382.03065

On cohomology and vector bundles over monoid schemes. (English) Zbl 1405.14046

Foundations of geometry (Festschrift 1899). Edited and commented by Klaus Volkert. (Grundlagen der Geometrie (Festschrift 1899).) (German) Zbl 1321.01034

Aspects of differential geometry II. (English) Zbl 1354.53002

Introduction to geometry and topology. (Einführung in die Geometrie und Topologie.) (German) Zbl 1322.57001

Mathematizing space. The objects of geometry from antiquity to the early modern age. Collected essays based on the presentations at the conference on space, geometry and the imagination from antiquity to the early modern age, Berlin, Germany, August 27–29, 2012. (English) Zbl 1309.01004

Aspects of differential geometry I. (English) Zbl 1354.53001

Elementary geometry and logic. (Elementare Geometrie und Logik.) (German) Zbl 1387.51002

Frigyes Riesz and the emergence of general topology. The roots of ‘topological space’ in geometry. (English) Zbl 1319.01019

Electricity and magnetism for mathematicians. A guided path from Maxwell’s equations to Yang-Mills. (English) Zbl 1337.78001

A guide to tropical modifications. arXiv:1509.03443

A new characterization of \(q_{\omega}\)-compact algebras. arXiv:1508.00325

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