- Applied Nonstandard Analysis.Martin Davis - 1978 - Journal of Symbolic Logic 43 (2):383-384.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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Philosophy of Mathematics.Øystein Linnebo - 2017 - Princeton, NJ: Princeton University Press.details
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Thinking about Mathematics.[author unknown] - 2001 - Tijdschrift Voor Filosofie 63 (1):189-190.details
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Tasks and Supertasks.James Thomson - 1954 - Analysis 15 (1):1--13.details
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Causal necessity: a pragmatic investigation of the necessity of laws.Brian Skyrms - 1980 - New Haven: Yale University Press.details
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Thinking about mathematics: the philosophy of mathematics.Stewart Shapiro - 2000 - New York: Oxford University Press.details
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Infinite Exchange Problems.Michael Scott & Alexander Scott - 2004 - Theory and Decision 57 (4):397-406.details
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Non-standard Analysis.Gert Heinz Müller - 2016 - Princeton University Press.details
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Abraham Robinson. Non-standard analysis. Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings, series A, vol. 64 (1961), pp. 432–440; also Indagationes mathematicae, vol. 23 (1961), pp. 432-440. - Abraham Robinson. Topics in non-Archimedean mathematics. The theory of models, Proceedings of the 1963 International Symposium at Berkeley, edited by J. W. Addison, Leon Henkin, and Alfred Tarski, Studies in logic and the foundations of mathematics, North-Holland Publishing Company, Amsterdam1965, pp. 285–298. - Abraham Robinson. On generalized limits and linear functionals. Pacific journal of mathematics, vol. 14 (1964), pp. 269–283. - Alan R. Bernstein and Abraham Robinson. Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos.Pacific journal of mathematics, vol. 16 (1966), pp. 421–431. - Abraham Robinson. Non-standard analysis.Studies in logic and the foundations of mathematics. North-Holland Publishing Company, Amsterdam1966, xi + 293 pp. [REVIEW]Gert Heinz Müller - 1969 - Journal of Symbolic Logic 34 (2):292-294.details
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God’s lottery.Storrs McCall & D. M. Armstrong - 1989 - Analysis 49 (4):223 - 224.details
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Barrett and Arntzenius's Infinite Decision Puzzle.Mark J. Machina - 2000 - Theory and Decision 49 (3):291-295.details
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The Mathematical Intelligencer Flunks the Olympics.Alexander E. Gutman, Mikhail G. Katz, Taras S. Kudryk & Semen S. Kutateladze - 2017 - Foundations of Science 22 (3):539-555.details
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An Infinite Decision Puzzle.Jeffrey Barrett & Frank Arntzenius - 1999 - Theory and Decision 46 (1):101-103.details
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Bayesianism, Infinite Decisions, and Binding.Frank Arntzenius, Adam Elga & John Hawthorne - 2004 - Mind 113 (450):251 - 283.details
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Arithmetic of Infinity.Yaroslav D. Sergeyev - 2013 - E-book.details
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An introduction to the philosophy of mathematics.Mark Colyvan - 2012 - Cambridge: Cambridge 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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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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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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The difficulty of prime factorization is a consequence of the positional numeral system.Yaroslav Sergeyev - 2016 - International Journal of Unconventional Computing 12 (5-6):453–463.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 methods for solving initial value problems on the Infinity Computer.Yaroslav Sergeyev, Marat Mukhametzhanov, Francesca Mazzia, Felice Iavernaro & Pierluigi Amodio - 2016 - International Journal of Unconventional Computing 12 (1):3-23.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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Lexicographic multi-objective linear programming using grossone methodology: Theory and algorithm.Marco Cococcioni, Massimo Pappalardo & Yaroslav Sergeyev - 2018 - Applied Mathematics and Computation 318:298-311.details
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Single-tape and multi-tape Turing machines through the lens of the Grossone methodology.Yaroslav Sergeyev & Alfredo Garro - 2013 - Journal of Supercomputing 65 (2):645-663.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 applied for studying Riemann series theorem and Ramanujan summation.Yaroslav Sergeyev - 2018 - In AIP Conference Proceedings 1978. AIP. pp. 020004.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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Thinking about Mathematics: The Philosophy of Mathematics.Stewart Shapiro - 2002 - Philosophical Quarterly 52 (207):272-274.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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