- Interpreting the Infinitesimal Mathematics of Leibniz and Euler.Jacques Bair, Piotr Błaszczyk, Robert Ely, Valérie Henry, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze, Thomas McGaffey, Patrick Reeder, David M. Schaps, David Sherry & Steven Shnider - 2017 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 48 (2):195-238.details
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Is Leibnizian calculus embeddable in first order logic?Piotr Błaszczyk, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Taras Kudryk, Thomas Mormann & David Sherry - 2017 - Foundations of Science 22 (4):73 - 88.details
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A Nonstandard Generalization For Perfect Maps.Robert A. Herrmann - 1977 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 23 (13-15):223-236.details
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Maps, languages, and manguages: Rival cognitive architectures?Kent Johnson - 2015 - Philosophical Psychology 28 (6):815-836.details
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On “seeing” the truth of the Gödel sentence.George Boolos - 1990 - Behavioral and Brain Sciences 13 (4):655-656.details
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Strong AI and the problem of “second-order” algorithms.Gerd Gigerenzer - 1990 - Behavioral and Brain Sciences 13 (4):663-664.details
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Systematic, unconscious thought is the place to anchor quantum mechanics in the mind.Thomas Roeper - 1990 - Behavioral and Brain Sciences 13 (4):681-682.details
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Life’s demons: information and order in biology.Philippe M. Binder & Antoine Danchin - 2011 - EMBO Reports 12 (6):495-499.details
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Regularity and Hyperreal Credences.Kenny Easwaran - 2014 - Philosophical Review 123 (1):1-41.details
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The Role of Mathematics in Deleuze’s Critical Engagement with Hegel.Simon Duffy - 2009 - International Journal of Philosophical Studies 17 (4):563 – 582.details
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The importance of nonexistent objects and of intensionality in mathematics.Richard Sylvan - 2003 - Philosophia Mathematica 11 (1):20-52.details
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Compactification of groups and rings and nonstandard analysis.Abraham Robinson - 1969 - Journal of Symbolic Logic 34 (4):576-588.details
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Perceiving the infinite and the infinitesimal world: Unveiling and optical diagrams in mathematics. [REVIEW]Lorenzo Magnani & Riccardo Dossena - 2005 - Foundations of Science 10 (1):7-23.details
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Nonstandard natural number systems and nonstandard models.Shizuo Kamo - 1981 - Journal of Symbolic Logic 46 (2):365-376.details
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Waging War on Pascal’s Wager.Alan Hájek - 2003 - Philosophical Review 112 (1):27-56.details
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Whole and part in mathematics.John L. Bell - 2004 - Axiomathes 14 (4):285-294.details
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Standard foundations for nonstandard analysis.David Ballard & Karel Hrbacek - 1992 - Journal of Symbolic Logic 57 (2):741-748.details
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Minds beyond brains and algorithms.Jan M. Zytkow - 1990 - Behavioral and Brain Sciences 13 (4):691-692.details
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Computability, consciousness, and algorithms.Robert Wilensky - 1990 - Behavioral and Brain Sciences 13 (4):690-691.details
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Nonstandard topology and extensions of monad systems to infinite points.Frank Wattenberg - 1971 - Journal of Symbolic Logic 36 (3):463-476.details
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Penrose's grand unified mystery.David Waltz & James Pustejovsky - 1990 - Behavioral and Brain Sciences 13 (4):688-690.details
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An Ontology of Nature with Local Causality, Parallel Lives, and Many Relative Worlds.Mordecai Waegell - 2018 - Foundations of Physics 48 (12):1698-1730.details
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Between Turing and quantum mechanics there is body to be found.Francisco J. Varela - 1990 - Behavioral and Brain Sciences 13 (4):687-688.details
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Asymptotics of families of solutions of nonlinear difference equations.Imme P. van den Berg - 2008 - Logic and Analysis 1 (2):153-185.details
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A functional interpretation for nonstandard arithmetic.Benno van den Berg, Eyvind Briseid & Pavol Safarik - 2012 - Annals of Pure and Applied Logic 163 (12):1962-1994.details
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Scientific realism and perception. [REVIEW]Raimo Tuomela - 1978 - British Journal for the Philosophy of Science 29 (1):87-104.details
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Exactly which emperor is Penrose talking about?John K. Tsotsos - 1990 - Behavioral and Brain Sciences 13 (4):686-687.details
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Bolzano’s Infinite Quantities.Kateřina Trlifajová - 2018 - Foundations of Science 23 (4):681-704.details
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The thinker dreams of being an emperor.M. M. Taylor - 1990 - Behavioral and Brain Sciences 13 (4):685-686.details
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Kant on the construction and composition of motion in the Phoronomy.Daniel Sutherland - 2014 - Canadian Journal of Philosophy 44 (5-6):686-718.details
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And then a miracle happens….Keith E. Stanovich - 1990 - Behavioral and Brain Sciences 13 (4):684-685.details
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Truth via Satisfaction?Nicholas J. J. Smith - 2017 - In Arazim Pavel & Lávička Tomáš (eds.), The Logica Yearbook 2016. College Publications. pp. 273-287.details
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The pretender's new clothes.Tim Smithers - 1990 - Behavioral and Brain Sciences 13 (4):683-684.details
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Independence of the Grossone-Based Infinity Methodology from Non-standard Analysis and Comments upon Logical Fallacies in Some Texts Asserting the Opposite.Yaroslav D. Sergeyev - 2019 - Foundations of Science 24 (1):153-170.details
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Modal Calculus of Illocutionary Logic.Andrew Schumann - 2010 - In Piotr Stalmaszczyk (ed.), Objects of Inquiry in Philosophy of Language and Linguistics. Ontos Verlag. pp. 261.details
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Seeing truth or just seeming true?Adina Roskies - 1990 - Behavioral and Brain Sciences 13 (4):682-683.details
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Extensions and Applications of the S-Measure Construction.David A. Ross - 2013 - Journal of Symbolic Logic 78 (4):1247-1256.details
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Labyrinth of Continua.Patrick Reeder - 2018 - Philosophia Mathematica 26 (1):1-39.details
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An isomorphism between monoids of external embeddings: About definability in arithmetic.Mihai Prunescu - 2002 - Journal of Symbolic Logic 67 (2):598-620.details
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Do simple infinitesimal parts solve Zeno’s paradox of measure?Lu Chen - 2019 - Synthese 198 (5):4441-4456.details
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The emperor's old hat.Don Perlis - 1990 - Behavioral and Brain Sciences 13 (4):680-681.details
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The nonalgorithmic mind.Roger Penrose - 1990 - Behavioral and Brain Sciences 13 (4):692-705.details
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Precis of the emperor's new mind.Roger Penrose - 1990 - Behavioral and Brain Sciences 13 (4):643-705.details
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Scientific Pluralism, Consistency Preservation, and Inconsistency Toleration.Otávio Bueno - 2017 - Humana Mente 10 (32):229-245.details
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Enciclopédia de Termos Lógico-Filosóficos.João Miguel Biscaia Branquinho, Desidério Murcho & Nelson Gonçalves Gomes (eds.) - 2006 - São Paulo, SP, Brasil: Martins Fontes.details
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Scott incomplete Boolean ultrapowers of the real line.Masanao Ozawa - 1995 - Journal of Symbolic Logic 60 (1):160-171.details
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Arithmetic, Set Theory, Reduction and Explanation.William D’Alessandro - 2018 - Synthese 195 (11):5059-5089.details
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Hermann Cohen's Das Princip der Infinitesimal-Methode: The history of an unsuccessful book.Marco Giovanelli - 2016 - Studies in History and Philosophy of Science Part A 58:9-23.details
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Zur mathematischen Wissenschaftsphilosophie des Marburger Neukantianismus.Thomas Mormann - 2018 - In Christian Damböck (ed.), Philosophie und Wissenschaft bei Hermann Cohen. Springer. pp. 101 - 133.details
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