- Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics.Vladimir Kanovei, Mikhail G. Katz & Thomas Mormann - 2013 - Foundations of Science 18 (2):259-296.details
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Who Gave You the Cauchy–Weierstrass Tale? The Dual History of Rigorous Calculus.Alexandre Borovik & Mikhail G. Katz - 2012 - Foundations of Science 17 (3):245-276.details
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Surreal Time and Ultratasks.Haidar Al-Dhalimy & Charles J. Geyer - 2016 - Review of Symbolic Logic 9 (4):836-847.details
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On the Axiom of Canonicity.Jerzy Pogonowski - forthcoming - Logic and Logical Philosophy:1-29.details
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Varieties of Class-Theoretic Potentialism.Neil Barton & Kameryn J. Williams - 2024 - Review of Symbolic Logic 17 (1):272-304.details
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Measuring Intelligence and Growth Rate: Variations on Hibbard's Intelligence Measure.Samuel Alexander & Bill Hibbard - 2021 - Journal of Artificial General Intelligence 12 (1):1-25.details
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Infinite Lotteries, Spinners, Applicability of Hyperreals†.Emanuele Bottazzi & Mikhail G. Katz - 2021 - Philosophia Mathematica 29 (1):88-109.details
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The Archimedean trap: Why traditional reinforcement learning will probably not yield AGI.Samuel Allen Alexander - 2020 - Journal of Artificial General Intelligence 11 (1):70-85.details
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Surreal Decisions.Eddy Keming Chen & Daniel Rubio - 2020 - Philosophy and Phenomenological Research 100 (1):54-74.details
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Indefinite Divisibility.Jeffrey Sanford Russell - 2016 - Inquiry: An Interdisciplinary Journal of Philosophy 59 (3):239-263.details
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Ten Misconceptions from the History of Analysis and Their Debunking.Piotr Błaszczyk, Mikhail G. Katz & David Sherry - 2013 - Foundations of Science 18 (1):43-74.details
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Surreal Ordered Exponential Fields.Philip Ehrlich & Elliot Kaplan - 2021 - Journal of Symbolic Logic 86 (3):1066-1115.details
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Quick and Easy Recipes for Hypergunk.Patrick Reeder - 2019 - Australasian Journal of Philosophy 98 (1):178-191.details
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Underdetermination of infinitesimal probabilities.Alexander R. Pruss - 2018 - Synthese 198 (1):777-799.details
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Number systems with simplicity hierarchies: A generalization of conway’s theory of surreal numbers II.Philip Ehrlich & Elliot Kaplan - 2018 - Journal of Symbolic Logic 83 (2):617-633.details
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Axiomatizing Changing Conceptions of the Geometric Continuum I: Euclid-Hilbert†.John T. Baldwin - 2018 - Philosophia Mathematica 26 (3):346-374.details
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Infinitesimals as an issue of neo-Kantian philosophy of science.Thomas Mormann & Mikhail Katz - 2013 - Hopos: The Journal of the International Society for the History of Philosophy of Science (2):236-280.details
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Axiomatizing Changing Conceptions of the Geometric Continuum II: Archimedes-Descartes-Hilbert-Tarski†.John T. Baldwin - 2019 - Philosophia Mathematica 27 (1):33-60.details
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Oldest Paradoxes, Future Mathematics and Mysticism.Ulrich Blau - 2014 - Erkenntnis 79 (S7):1-25.details
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Vieri Benci and Mauro Di Nasso. How to Measure the Infinite: Mathematics with Infinite and Infinitesimal Numbers.Sylvia Wenmackers - 2022 - Philosophia Mathematica 30 (1):130-137.details
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Critical Studies/Book Reviews.Sylvia Wenmackers - forthcoming - Philosophia Mathematica.details
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An infinte natural sum.Paolo Lipparini - 2016 - Mathematical Logic Quarterly 62 (3):249-257.details
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Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and Beyond. [REVIEW]Mikhail G. Katz & David Sherry - 2013 - Erkenntnis 78 (3):571-625.details
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(1 other version)On What There is—Infinitesimals and the Nature of Numbers.Jens Erik Fenstad - 2015 - Inquiry: An Interdisciplinary Journal of Philosophy 58 (1):57-79.details
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An Essay in Honor of Adolf Grünbaum’s Ninetieth Birthday: A Reexamination of Zeno’s Paradox of Extension.Philip Ehrlich - 2014 - Philosophy of Science 81 (4):654-675.details
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Internality, transfer, and infinitesimal modeling of infinite processes†.Emanuele Bottazzi & Mikhail G. Katz - forthcoming - Philosophia Mathematica.details
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An Integer Construction of Infinitesimals: Toward a Theory of Eudoxus Hyperreals.Alexandre Borovik, Renling Jin & Mikhail G. Katz - 2012 - Notre Dame Journal of Formal Logic 53 (4):557-570.details
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Transseries and Todorov–Vernaeve’s asymptotic fields.Matthias Aschenbrenner & Isaac Goldbring - 2014 - Archive for Mathematical Logic 53 (1-2):65-87.details
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Galileo’s paradox and numerosities.Piotr Błaszczyk - 2021 - Philosophical Problems in Science 70:73-107.details
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