Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes, Russian Mathematics, Izvestiya, 2018, vol. 82, to appear. Go to publication

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. Go to publication

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: 10.1007/s10699-017-9534-y. Go to publication

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. Go to publication

Minimally definable hyperreals with transfer, Journal of symbolic logic, 2017, to appear.

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: 10.1007/s10838-016-9334-z Go to publication

A Groszek – Laver pair of undistinguishable E_{0} classes.
Mathematical Logic Quarterly, 2017, 63, No. 1–2, pp. 19–31. doi: 10.1002/malq.201500020. Go to publication

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. Go to publication

Countable OD sets of reals belong to the ground model. September 2016, arXiv:1609.01032 [math.LO], pp. 1-12. Go to publication

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. Go to publication

2016 year

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

Toward a history of mathematics focused on procedures,
Foundations Of Science,
2016, First Online 21 September 2016, DOI: 10.1007/s10699-016-9498-3 Go to publication

Small oscillations of the pendulum, Euler’s method, and adequality,
Quantum Studies: Mathematics and Foundations, 2016, 3, no 3, pp 231–236 Go to publication

OD elements of countable OD sets in the Solovay model. March 2016, arXiv:1603.04237 [math.LO], pp. 1-20. Go to publication

2016 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, First Online: 22 June 2016,
DOI: 10.1007/s10699-016-9495-6 Go to publication

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

Counterexamples to countable-section $Pi^1_2$ uniformization and $Pi^1_3$ separation. Annals of Pure and Applied Logic, 2016, 167, 3, pp. 262–283. Go to publication

On countable cofinality and decomposition of definable thin orderings.
Fundamenta mathematicae, 2016, 235, no 1, pp. 13-36. Go to publication

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. Go to publication

Some applications of finite-support products of Jensen’s minimal forcing.
Book of abstracts, Logic Colloquium 2015, Annual European Summer Meeting of the Association for Symbolic Logic,
University of Helsinki, 3–8 August 2015, pp. 670-671. Go to publication

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
Go to publication

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. Go to publication

Surreal numbers from the point of view of nonstandard analysis,
Sy David Friedman"s 60th-Birthday Conference, Vienna, Austria, July 2013. Go to publication

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

2013 year

Authors: Bair J., Blazczyk P., Ely R., Henry V., Kanovei V., et al.

Is mathematical history written by the victors?
Notices of the AMS, 2013, 60, no 7, pp. 886-904. Go to publication

Canonical Ramsey Theory on Polish Spaces.
Cambridge University Press, Cambridge, UK, 2013, viii+269 pp.,
Monograph ISBN 978-1-107-02685-8 Go to publication

Contemporary Set Theory: absolutely undecidable classical problems. (Russian.) Monograph, published by Independent Moscow university, 2013, 384 pages. Go to publication

Kommentar zu [H 1936b], Summen von $aleph_1$ Mengen.
In: Felix Hausdorff,
Gesammelte Werke. Band Ia: Allgemeine Mengenlehre,
Berlin: Springer, 2013, pp. 364-366.
Go to publication

Kommentar zu [H 1909a], Die Graduierung nach dem Endverlauf.
In: Felix Hausdorff,
Gesammelte Werke. Band Ia: Allgemeine Mengenlehre,
Berlin: Springer, 2013, pp. 336-346.
Go to publication