Concepedia

Infinite Numbers

Infinite Numbers is a theoretical construct in the philosophy of mathematics that designates entities extending beyond finite magnitude, distinguished by their adherence to transfinite arithmetic and their role in formalizing hierarchies of unbounded numerical infinities.

413

Publications

20.3K

Citations

584

Authors

339

Institutions

Publications per year

2017–2026

39

Variants

Transfinite Numbers

Parents

Publications

413

The road to reality: a complete guide to the laws of the universe

Choice Reviews Online · 2005 · 1.1K citations

, , +12

Storing Infinite Numbers of Patterns in a Spin-Glass Model of Neural Networks

Daniel J. Amit, Hanoch Gutfreund, Haim Sompolinsky · Physical Review Letters · 1985 · 1.1K citations

, , +12

Reasoning about Infinite Computations

Moshe Y. Vardi, Pierre Wolper · Information and Computation · 1994 · 794 citations · Full text

, , +10

A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions

Nature · 1920 · 577 citations · Full text

, , +6

Estimation of relatedness by DNA fingerprinting.

Michael Lynch · Molecular Biology and Evolution · 1988 · 457 citations

, , +12

1–5 of 413

Authors

584

  1. YD
    Yaroslav D. Sergeyev

    University of Calabria, Italy

    8 publications · 432 citations

    8

    h-index

  2. HB
    Hüseyın Bor

    Erciyes University, Türkiye

    5 publications · 81 citations

    5

    h-index

  3. PC
    Pierina Cheung

    Nanyang Technological University, Singapore

    3 publications · 139 citations

    3

    h-index

  4. MG
    Mikhail G. Katz

    Bar-Ilan University, Israel

    3 publications · 114 citations

    3

    h-index

  5. HN
    Herbert Neuberger

    Rutgers, The State University of New Jersey, United States

    3 publications · 91 citations

    3

    h-index

1–5 of 584

Institutions

339

  1. University of Calabria

    Rende, Italy

    9 h-index

    9 publications

    507 citations

  2. Bar-Ilan University

    Ramat Gan, Israel

    6 h-index

    16 publications

    1.4K citations

  3. University of Illinois Urbana-Champaign

    Urbana, United States

    4 h-index

    8 publications

    587 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    6 publications

    263 citations

  5. University of California, Berkeley

    Berkeley, United States

    4 h-index

    6 publications

    166 citations

  6. University of California San Diego

    San Diego, United States

    4 h-index

    10 publications

    490 citations

  7. Ghent University

    Ghent, Belgium

    3 h-index

    5 publications

    272 citations

  8. University of Southern California

    Los Angeles, United States

    3 h-index

    3 publications

    136 citations

1–8 of 339

Venues

  1. American Mathematical Monthly

    18 publications · 1.1K citations

    14

    h-index

  2. Choice Reviews Online

    CRO · 11 publications · 1.7K citations

    11

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 8 publications · 112 citations

    8

    h-index

  4. Acta Arithmetica

    7 publications · 156 citations

    7

    h-index

  5. Journal of Physics A Mathematical and General

    6 publications · 168 citations

    6

    h-index

1–5