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Some paradoxes of infinity revisited (Q2148333)

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scientific article; zbMATH DE number 7546993

Language	Label	Description	Also known as
English	Some paradoxes of infinity revisited	scientific article; zbMATH DE number 7546993

Statements

scholarly article

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Some paradoxes of infinity revisited (English)

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Yaroslav D. Sergeyev

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Mediterranean Journal of Mathematics

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publication date

23 June 2022

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zbMATH Keywords

paradoxes of infinity

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counting systems

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Pirahã

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Mundurukú

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grossone

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s00009-022-02063-w

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Infinitesimal. How a dangerous mathematical theory shaped the modern world

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A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic

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New approaches to basic calculus: an experimentation via numerical computation

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Infinite numerical computing applied to Hilbert's, Peano's, and Moore's curves

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The Sierpinski curve viewed by numerical computations with infinities and infinitesimals

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Paradoxes of the infinite and ontological dilemmas between ancient philosophy and modern mathematical solutions

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Lexicographic multi-objective linear programming using grossone methodology: theory and algorithm

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Cellular automata using infinite computations

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Infinite Games on Finite Graphs Using Grossone

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The use of grossone in mathematical programming and operations research

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Nonlinear programming and grossone: quadratic programing and the role of constraint qualifications

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Planar methods and grossone for the conjugate gradient breakdown in nonlinear programming

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Simulation of hybrid systems under Zeno behavior using numerical infinitesimals

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Non-Archimedean game theory: a numerical approach

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A constructive sequence algebra for the calculus of indications

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Numerical infinitesimals in a variable metric method for convex nonsmooth optimization

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THE CLASSICAL CONTINUUM WITHOUT POINTS

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Computation of higher order Lie derivatives on the infinity computer

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Interpretation of percolation in terms of infinity computations

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Philosophy of Mathematics

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Infinitesimals and infinites in the history of mathematics: a brief survey

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Metamathematical investigations on the theory of grossone

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MEASURING THE SIZE OF INFINITE COLLECTIONS OF NATURAL NUMBERS: WAS CANTOR’S THEORY OF INFINITE NUMBER INEVITABLE?

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Abstraction and infinity

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Using grossone to count the number of elements of infinite sets and the connection with bijections

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An application of grossone to the study of a family of tilings of the hyperbolic plane

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Taking the Pirahã seriously

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Existence and feasibility in arithmetic

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Discrete uniform and binomial distributions with infinite support

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A Study of Mathematical Determination through Bertrand’s Paradox

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Counting systems and the first Hilbert problem

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The Olympic medals ranks, lexicographic ordering, and numerical infinities

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The exact (up to infinitesimals) infinite perimeter of the Koch snowflake and its finite area

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Numerical infinities and infinitesimals: methodology, applications, and repercussions on two Hilbert problems

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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

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On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales

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The continuum hypothesis. I

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Computing sums of conditionally convergent and divergent series using the concept of grossone

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On strong homogeneity of two global optimization algorithms based on statistical models of multimodal objective functions

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00009-022-02063-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:2148333

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