- Cauchy’s Infinitesimals, His Sum Theorem, and Foundational Paradigms.Tiziana Bascelli, Piotr Błaszczyk, Alexandre Borovik, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze, Thomas McGaffey, David M. Schaps & David Sherry - 2018 - Foundations of Science 23 (2):267-296.details
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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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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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Maps, languages, and manguages: Rival cognitive architectures?Kent Johnson - 2015 - Philosophical Psychology 28 (6):815-836.details
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Penrose's Platonism.James Higginbotham - 1990 - Behavioral and Brain Sciences 13 (4):667-668.details
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Quantum AI.Rudi Lutz - 1990 - Behavioral and Brain Sciences 13 (4):672-673.details
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Computation and consciousness.Drew McDermott - 1990 - Behavioral and Brain Sciences 13 (4):676-678.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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Computations over abstract categories of representation.Roy Eagleson - 1990 - Behavioral and Brain Sciences 13 (4):661-662.details
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A Cauchy-Dirac Delta Function.Mikhail G. Katz & David Tall - 2013 - Foundations of Science 18 (1):107-123.details
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The isomorphism property in nonstandard analysis and its use in the theory of Banach spaces.C. Ward Henson - 1974 - Journal of Symbolic Logic 39 (4):717-731.details
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First-order definability in modal logic.R. I. Goldblatt - 1975 - Journal of Symbolic Logic 40 (1):35-40.details
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The Burgess-Rosen critique of nominalistic reconstructions.Charles Chihara - 2007 - Philosophia Mathematica 15 (1):54--78.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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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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The Present Situation in Quantum Theory and its Merging with General Relativity.Andrei Khrennikov - 2017 - Foundations of Physics 47 (8):1077-1099.details
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Gregory’s Sixth Operation.Tiziana Bascelli, Piotr Błaszczyk, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze, Tahl Nowik, David M. Schaps & David Sherry - 2018 - Foundations of Science 23 (1):133-144.details
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Edward Nelson.Mikhail G. Katz & Semen S. Kutateladze - 2015 - Review of Symbolic Logic 8 (3):607-610.details
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The Development of Mathematics. [REVIEW]Donald Gillies - 1978 - British Journal for the Philosophy of Science 29 (1):68-87.details
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Belief Systems and Partial Spaces.Otávio Bueno - 2016 - Foundations of Science 21 (1):225-236.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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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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A long time ago in a computing lab far, far away….Jeffery L. Johnson, R. H. Ettinger & Timothy L. Hubbard - 1990 - Behavioral and Brain Sciences 13 (4):670-670.details
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Parallelism and patterns of thought.R. W. Kentridge - 1990 - Behavioral and Brain Sciences 13 (4):670-671.details
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The discomforts of dualism.Bruce MacLennan - 1990 - Behavioral and Brain Sciences 13 (4):673-674.details
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Uncertainty about quantum mechanics.Mark S. Madsen - 1990 - Behavioral and Brain Sciences 13 (4):674-675.details
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Steadfast intentions.Keith K. Niall - 1990 - Behavioral and Brain Sciences 13 (4):679-680.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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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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Seeing truth or just seeming true?Adina Roskies - 1990 - Behavioral and Brain Sciences 13 (4):682-683.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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And then a miracle happens….Keith E. Stanovich - 1990 - Behavioral and Brain Sciences 13 (4):684-685.details
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Is mathematical insight algorithmic?Martin Davis - 1990 - Behavioral and Brain Sciences 13 (4):659-660.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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Ars inveniendi et théorie des modèles.Hourya Benis-Sinaceur - 1988 - Dialogue 27 (4):591-.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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Scott incomplete Boolean ultrapowers of the real line.Masanao Ozawa - 1995 - Journal of Symbolic Logic 60 (1):160-171.details
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Whole and part in mathematics.John L. Bell - 2004 - Axiomathes 14 (4):285-294.details
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Time-delays in conscious processes.Benjamin Libet - 1990 - Behavioral and Brain Sciences 13 (4):672-672.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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The nonalgorithmic mind.Roger Penrose - 1990 - Behavioral and Brain Sciences 13 (4):692-705.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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Nonstandard logic.James R. Geiser - 1968 - Journal of Symbolic Logic 33 (2):236-250.details
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Contradictions in Motion: Why They’re not Needed and Why They Wouldn’t Help.Emiliano Boccardi & Moisés Macías-Bustos - 2017 - Humana Mente 10 (32):195-227.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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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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Lucas revived? An undefended flank.Jeremy Butterfield - 1990 - Behavioral and Brain Sciences 13 (4):658-658.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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Compactification of groups and rings and nonstandard analysis.Abraham Robinson - 1969 - Journal of Symbolic Logic 34 (4):576-588.details
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