- A new applied approach for executing computations with infinite and infinitesimal quantities.Yaroslav D. Sergeyev - 2008 - Informatica 19 (4):567-596.details
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An Unsolvable Problem of Elementary Number Theory.Alonzo Church - 1936 - Journal of Symbolic Logic 1 (2):73-74.details
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Contributions to the Founding of the Theory of Transfinite Numbers. [REVIEW]Cassius J. Keyser - 1916 - Journal of Philosophy, Psychology and Scientific Methods 13 (25):697-697.details
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Numerical computations and mathematical modelling with infinite and infinitesimal numbers.Yaroslav Sergeyev - 2009 - Journal of Applied Mathematics and Computing 29:177-195.details
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A Study of Mathematical Determination through Bertrand’s Paradox.Davide Rizza - 2018 - Philosophia Mathematica 26 (3):375-395.details
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On the scheme of induction for bounded arithmetic formulas.A. J. Wilkie & J. B. Paris - 1987 - Annals of Pure and Applied Logic 35 (C):261-302.details
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On Computable Numbers, with an Application to the Entscheidungsproblem.Alan Turing - 1936 - Proceedings of the London Mathematical Society 42 (1):230-265.details
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Non-standard Analysis.Gert Heinz Müller - 2016 - Princeton University Press.details
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Finite combinatory processes—formulation.Emil L. Post - 1936 - Journal of Symbolic Logic 1 (3):103-105.details
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J. P. Mayberry. The foundations of mathematics in the theory of sets. Encyclopedia of mathematics and its applications, vol. 82. Cambridge University Press, Cambridge 2000, New York 2001, etc., xx + 424 pp. [REVIEW]W. W. Tait - 2002 - Bulletin of Symbolic Logic 8 (3):424-426.details
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.Max Gander - 2014 - 96 (2):369-415.details
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The Consistency of the Continuum Hypothesis.Kurt Godel - 1940 - Princeton University Press.details
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Higher order numerical differentiation on the Infinity Computer.Yaroslav Sergeyev - 2011 - Optimization Letters 5 (4):575-585.details
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Interpretation of percolation in terms of infinity computations.Yaroslav Sergeyev, Dmitri Iudin & Masaschi Hayakawa - 2012 - Applied Mathematics and Computation 218 (16):8099-8111.details
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Blinking fractals and their quantitative analysis using infinite and infinitesimal numbers.Yaroslav Sergeyev - 2007 - Chaos, Solitons and Fractals 33 (1):50-75.details
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Observability of Turing Machines: a refinement of the theory of computation.Yaroslav Sergeyev & Alfredo Garro - 2010 - Informatica 21 (3):425–454.details
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Counting systems and the First Hilbert problem.Yaroslav Sergeyev - 2010 - Nonlinear Analysis Series A 72 (3-4):1701-1708.details
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Evaluating the exact infinitesimal values of area of Sierpinski's carpet and volume of Menger's sponge.Yaroslav Sergeyev - 2009 - Chaos, Solitons and Fractals 42: 3042–3046.details
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The exact (up to infinitesimals) infinite perimeter of the Koch snowflake and its finite area.Yaroslav Sergeyev - 2016 - Communications in Nonlinear Science and Numerical Simulation 31 (1-3):21–29.details
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The Olympic medals ranks, lexicographic ordering and numerical infinities.Yaroslav Sergeyev - 2015 - The Mathematical Intelligencer 37 (2):4-8.details
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UN SEMPLICE MODO PER TRATTARE LE GRANDEZZE INFINITE ED INFINITESIME.Yaroslav Sergeyev - 2015 - la Matematica Nella Società E Nella Cultura: Rivista Dell’Unione Matematica Italiana, Serie I 8:111-147.details
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Numerical point of view on Calculus for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains.Yaroslav Sergeyev - 2009 - Nonlinear Analysis Series A 71 (12):e1688-e1707.details
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Lagrange Lecture: Methodology of numerical computations with infinities and infinitesimals.Yaroslav Sergeyev - 2010 - Rendiconti Del Seminario Matematico dell'Università E Del Politecnico di Torino 68 (2):95–113.details
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ontributions to the Founding of the Theory of Transfinite Numbers. [REVIEW]Georg Cantor - 1916 - Ancient Philosophy (Misc) 26:638.details
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Exact and Approximate Arithmetic in an Amazonian Indigene Group.Pierre Pica, Cathy Lemer, Véronique Izard & Stanislas Dehaene - 2004 - Science 306 (5695):499-503.details
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Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems.Yaroslav Sergeyev - 2017 - EMS Surveys in Mathematical Sciences 4 (2):219–320.details
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Solving ordinary differential equations by working with infinitesimals numerically on the Infinity Computer.Yaroslav Sergeyev - 2013 - Applied Mathematics and Computation 219 (22):10668–10681.details
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[Omnibus Review].C. Smorynski - 1979 - Journal of Symbolic Logic 44 (1):116-119.details
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Using blinking fractals for mathematical modelling of processes of growth in biological systems.Yaroslav Sergeyev - 2011 - Informatica 22 (4):559–576.details
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