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:    Page: 12 345
2018 year
Authors: Kanovei V., Katz K., Katz M., Mormann T.

What makes a theory of infinitesimals useful? A view by Klein and Fraenkel. Journal of Humanistic Mathematics, to appear.

2018 year
Authors: Kanovei V., Lyubetsky V.

Definable minimal collapse functions at arbitrary projective levels. Journal of symbolic logic. Submitted

2018 year
Authors: Kanovei V., Lyubetsky V.

Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes, Russian Mathematics, Izvestiya, 2018, vol. 82, no1, to appear. DOI: https://doi.org/10.1070/IM8521
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2017 year
Authors: Bair J., Blaszczyk P., Ely R., Henry V., Kanovei V., Katz K., Katz M., Kudryk T., Kutateladze S., McGaffey T., Mormann T., Schaps D., Sherry D.

Cauchy, infinitesimals and ghosts of departed quantifiers, Mat. Stud. 2017, 47, 2, 115--144
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2017 year
Authors: Kanovei V., Lyubetsky V.

Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy, December 2017, arXiv:1712.00769 [math.LO], pp. 1-43.
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2017 year
Authors: Kanovei V., Lyubetsky V.

Definable minimal collapse functions at arbitrary projective levels. July 2017, arXiv:1707.07320 [math.LO], pp. 1-30.
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2017 year
Authors: Kanovei V., Lyubetsky V.

Definable E0 classes at arbitrary projective levels. May 2017, arXiv:1705.02975 [math.LO], pp. 1--26. Submitted to Annals of pure and applied logic.
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2017 year
Authors: Bascelli T., Blazczyk P., Borovik A., Kanovei V., Katz K., Katz M., Kutateladze S., McCaffery T., Schaps D., Sherry D.

Cauchy"s infinitesimals, his sum theorem, and foundational paradigms. Foundations of Science, 2017, First Online 27 June 2017, DOI: https://doi.org/10.1007/s10699-017-9534-y
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2017 year
Authors: Kanovei V., Lyubetsky V.

The full basis theorem does not imply analytic wellordering. February 2017, arXiv:1702.03566 [math.LO], pp. 1-63.
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2017 year
Authors: Kanovei V., Lyubetsky V.

generic property of the Solovay set Σ, Siberian Mathematical Journal, 2017, 58, 6, 1012--1014.
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2017 year
Authors: Fletcher P., Hrbacek K., Kanovei V., Katz M., Lobry C., Sanders S.

Approaches to analysis with infinitesimals following Robinson, Nelson, and others. Real Analysis Exchange, 2017, 42, 2, pp. 193-252.
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2017 year
Authors: Kanovei V., Lyubetsky V.

Countable OD sets of reals belong to the ground model. Archive for Mathematical Logic, 2017, First Online 24 June 2017. doi:10.1007/s00153-017-0569-0
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2017 year
Authors: Kanovei V., Katz M.

A positive function with vanishing Lebesgue integral in Zermelo -- Fraenkel set theory. Real Analysis Exchange, 2017, 42, no. 2, 385-390.
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2017 year
Authors: Bascelli T., Blaszczyk P., Kanovei V., Katz K., Katz M., et al.

Gregory"s sixth operation, Foundations of Science, 2017. First Online 20 December 2016, DOI: https://doi.org/10.1007/s10699-016-9512-9
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2017 year
Authors: Herzberg F., Kanovei V., Katz M., Lyubetsky V.

Minimal axiomatic frameworks for definable hyperreals with transfer. Journal of Symbolic Logic, 2017, to appear.

2017 year
Authors: Blaszczyk P., Kanovei V., Katz M., et al.

Toward a history of mathematics focused on procedures, Foundations Of Science, 2017, 22, Issue 4, pp 763783, DOI: https://doi.org/10.1007/s10699-016-9498-3
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2017 year
Authors: Blaszczyk Piotr, Kanovei V., U. Katz Karin, G. Katz Mikhail, et al.

Is Leibnizian calculus embeddable in first order logic? Foundations of Science, 2017, 22, Issue 4, pp 717731. DOI: https://doi.org/10.1007/s10699-016-9495-6
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2017 year
Authors: Bair J., Blaszczyk P., Ely R., Henry V., Kanovei V., Katz K., Katz M., et al.

Interpreting the infinitesimal mathematics of Leibniz and Euler, Journal of General Philosophy of Science, 2017, 48, issue 2, pp, 195--238. DOI: https://doi.org/10.1007/s10838-016-9334-z
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2017 year
Authors: Kanovei V., Lyubetsky V.

A definable countable set not containing definable elements, Mathematical notes, 2017, 102, no. 3, pp. 338349.
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2017 year
Authors: Blazczyk P., Kanovei V., Katz M., Sherry D.

Controversies on foundations of analysis: comments on Schubrings conflicts. Foundations of Science, 2017, 22, 1, pp. 125--140. DOI: https://doi.org/10.1007/s10699-015-9473-4
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2017 year
Authors: Golshani M., Kanovei V., Lyubetsky V.

A Groszek-Laver pair of undistinguishable E0-classes. Mathematical Logic Quarterly, 2017, Vol. 63, No. 12, P. 1931. doi:10.1002/malq.201500020
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2016 year
Authors: Kanovei V., Lyubetsky V.

A generic property of Solovay"s set Σ. November 2016, arXiv:1611.00176 [math.LO], pp. 1-4.
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2016 year
Authors: Kanovei V., Lyubetsky V.

In Cohen generic extension, every countable OD set of reals belongs to the ground model. July 2016, arXiv:1607.02880 [math.LO] pp. 1-3.
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2016 year
Authors: Kanovei V., Lyubetsky V.

Countable OD sets of reals belong to the ground model. September 2016, arXiv:1609.01032 [math.LO], pp. 1-12.
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2016 year
Authors: Błaszczyk P., Borovik A., Kanovei V., Katz M., et al.

A Non-Standard Analysis of a Cultural Icon: The Case of Paul Halmos. Logica Universalis, 2016, 10, pp. 393-405. DOI https://doi.org/10.1007/s11787-016-0153-0
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2016 year
Authors: Kanovei V., Katz K., Katz M., Nowik T.

Small oscillations of the pendulum, Eulers method, and adequality, Quantum Studies: Mathematics and Foundations, 2016, 3, no 3, pp 231236. DOI: https://doi.org/10.1007/s40509-016-0074-x
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2016 year
Authors: Kanovei V.

OD elements of countable OD sets in the Solovay model. March 2016, arXiv:1603.04237 [math.LO], pp. 1-20.
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2016 year
Authors: Kanovei V.

Some applications of finite-support products of Jensen"s minimal forcing. Winter School in Abstract Analysis 2016, Hejnice, Czech Republic, Jan 30Feb 6, 2016, Abstracts and slides. http://www.winterschool.eu/files/885-Some_applications_of_finite-support_products_of_Jensens_minimal_Delta_31_forcing.pdf
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2016 year
Authors: Kanovei V., Lyubetsky V.

Counterexamples to countable-section $Pi^1_2$ uniformization and $Pi^1_3$ separation. Annals of Pure and Applied Logic, 2016, 167, 3, pp. 262283. DOI: https://doi.org/10.1016/j.apal.2015.12.002
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2016 year
Authors: Kanovei V., Lyubetsky V.

On countable cofinality and decomposition of definable thin orderings. Fundamenta mathematicae, 2016, 235, no 1, pp. 13-36. DOI: 10.4064/fm977-10-2015
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2016 year
Authors: Bascelli T., Blaszczyk P., Kanovei V., Katz K., Katz M., et al.

Leibniz vs Ishiguro: closing a quarter-century of syncategoremania. The Journal of the International Society for the History of Philosophy of Science, 2016, 6, no 1, pp. 117 -- 147. DOI: https://doi.org/10.1086/685645
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2015 year
Authors: Kanovei V.

Some applications of finite-support products of Jensens minimal forcing. Book of abstracts, Logic Colloquium 2015, Annual European Summer Meeting of the Association for Symbolic Logic, University of Helsinki, 38 August 2015, pp. 670-671.
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2015 year
Authors: Kanovei V., Lyubetsky V.

Grossone approach to Hutton and Euler transforms Applied Mathematics and Computation, 2015, 255, pp. 3643. DOI: https://doi.org/10.1016/j.amc.2014.06.037
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2015 year
Authors: Kanovei V., Katz K., Katz M., Sherry D.

Euler"s lute and Edward"s oud. Mathematical Intelligencer, 2015, 37, 4, pp. 48--51. DOI: https://doi.org/10.1007/s00283-015-9565-6
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2015 year
Authors: Kanovei V., Lyubetsky V.

A definable $E_0$ class containing no definable elements, Archive for Mathematical Logic, 2015, 54, 5, pp. 711--723. DOI: https://doi.org/10.1007/s00153-015-0436-9
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2015 year
Authors: Kanovei V., Lyubetsky V.

Generalization of one construction by Solovay, Siberian Mathematical Journal, 2015, 56, no. 6, pp. 10721079. DOI: https://doi.org/10.1134/S0037446615060117
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2015 year
Authors: Kanovei V., Katz ., Katz M., Schaps D.

Proofs and retributions, Foundations of Science, 2015, 20, 1, pp 1-25. DOI: https://doi.org/10.1007/s10699-013-9340-0
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2015 year
Authors: Kanovei V., Lyubetsky V.

On effective σ-boundedness and σ-compactness in Solovay"s model, Mathematical notes, 2015, 98, 1-2, pp. 273--282. DOI: https://doi.org/10.1134/S0001434615070299
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2014 year
Authors: Kanovei V., Lyubetsky V.

On countable cofinality and decomposition of definable thin orderings, arXiv:1412.0195 [math.LO], Dec. 2014, 21 p.
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2014 year
Authors: Kanovei V., Lyubetsky V.

Counterexamples to countable-section Π12 uniformization and Π13 separation, arXiv:1410.2537 [math.LO], Oct. 2014, 18 p.
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2014 year
Authors: Kanovei V., Lyubetsky V.

A definable $E_0$-class containing no definable elements, arXiv:1408.6642 [math.LO], Aug 2014, 12 p.
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2014 year
Authors: Kanovei V., Lyubetsky V.

A countable definable set of reals containing no definable elements, arXiv:1408.3901 [math.LO], Aug. 2014, 11 p.
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2014 year
Authors: Kanovei V., Lyubetsky V.

Linearization of partial quasi-orderings in the Solovay model revisited, arXiv:1408.1202 [math.LO], Aug. 2014, 13 p.
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2014 year
Authors: Kanovei V.

Bounding and decomposing thin analytic partial orderings, arXiv:1407.0929v2 [math.LO], Jul 2014, 12 p.
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2014 year
Authors: Kanovei V.

A generalization of Solovay"s Sigma-construction. arXiv:1402.0961 [math.LO]. 5 Feb 2014, 6 p.
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2014 year
Authors: Kanovei V.

On the automorphisms behind the Gitik -- Koepke model. In: Infinity, Computability, and Metamathematics: Festschrift celebrating the 60th birthdays of Peter Koepke and Philip Welch. College publications, London, 2014, SeriesTributes, Vol. 23, pp. 229--253
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2014 year
Authors: Bascelli T., Kanovei V., Katz K., Katz M., et al.

Fermat, Leibniz, Euler, and the gang: the true history of the concepts of limit and shadow. Notices of the AMS, 2014, 61, 8, pp. 848--864.
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2013 year
Authors: Kanovei V.

On countable cofinality of definable chains in Borel partial orders. arXiv:1312.2064 [math.LO]. Sat, 7 Dec 2013
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2013 year
Authors: Kanovei V.

Surreal numbers from the point of view of nonstandard analysis, Sy David Friedman"s 60th-Birthday Conference, Vienna, Austria, July 2013.
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2013 year
Authors: Felgner U., Kanovei V., Koepke P., Purkert W., editors .

Felix Hausdorff. Gesammelte Werke, Band IA: Allgemeine Mengenlehre. Berlin: Springer, 2013, xxvi+538 pp., Monograph ISBN: 978-3-642-25598-4.
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:    Page: 12 345
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