Concepedia

Transfinite Induction Principle

The Transfinite Induction Principle is a fundamental set-theoretic method of proof that extends mathematical induction to well-ordered classes, particularly ordinal numbers, by establishing that a property holds for all ordinals if it holds for the zero ordinal and is preserved under both successor and limit ordinal steps.

18

Publications

1.7K

Citations

25

Authors

14

Institutions

Publications per year

2017–2026

0

Parents

Publications

18

Nonconvex minimization problems

Ivar Ekeland · Bulletin of the American Mathematical Society · 1979 · 1K citations · Full text

, , +16

On the restricted ordinal theorem

R. L. Goodstein · Journal of Symbolic Logic · 1944 · 197 citations

, , +11

A remark on method in transfinite algebra

Max Zorn · Bulletin of the American Mathematical Society · 1935 · 187 citations · Full text

, , +10

An induction principle for the generalization of Bombieri's prime number theorem

Yoichi Motohashi · Proceedings of the Japan Academy Series A Mathematical Sciences · 1976 · 62 citations · Full text

, , +9

A Finitary Treatment of the Closed Fragment of Japaridze's Provability Logic

Lev D. Beklemishev, Joost J. Joosten, Marco Vervoort · Journal of Logic and Computation · 2005 · 38 citations · Full text

, , +16

1–5 of 18

Authors

25

  1. BS
    Bruno Scarpellini

    University of Basel, Switzerland

    1 publications · 12 citations

    1

    h-index

  2. YM
    Yoichi Motohashi

    Nihon University, Japan

    1 publications · 62 citations

    1

    h-index

  3. MA
    Mieczysław Altman

    Louisiana State University, United States

    1 publications · 25 citations

    1

    h-index

  4. MZ
    Max Zorn

    Yale University, United States

    1 publications · 187 citations

    1

    h-index

  5. AS
    Andre Scedrov

    University of Pennsylvania, United States

    1 publications · 11 citations

    1

    h-index

1–5 of 25

Institutions

14

  1. Centre National de la Recherche Scientifique

    Paris, France

    1 h-index

    1 publications

    18 citations

  2. Ludwig-Maximilians-Universität München

    Munich, Germany

    1 h-index

    1 publications

    12 citations

  3. University of Turin

    Turin, Italy

    1 h-index

    1 publications

    14 citations

  4. University of Iowa

    Iowa City, United States

    1 h-index

    1 publications

    16 citations

  5. Collegio Carlo Alberto

    Moncalieri, Italy

    1 h-index

    1 publications

    14 citations

  6. University of Birmingham

    Birmingham, United Kingdom

    1 h-index

    1 publications

    21 citations

  7. Université de Perpignan

    Perpignan, France

    1 h-index

    1 publications

    18 citations

  8. Stanford University

    Stanford, United States

    1 h-index

    1 publications

    12 citations

1–8 of 14

Venues

  1. Journal of Symbolic Logic

    4 publications · 240 citations

    4

    h-index

  2. Bulletin of the American Mathematical Society

    2 publications · 1.2K citations

    2

    h-index

  3. Annals of Mathematics

    1 publications · 11 citations

    1

    h-index

  4. 1

    h-index

  5. Proceedings of the National Academy of Sciences

    PNAS · 1 publications · 27 citations

    1

    h-index

1–5