Concepedia

Potential Infinity

Potential Infinity is a conceptual framework in the philosophy of mathematics designating the genus of infinite processes or magnitudes as indefinitely extendable through a successive, constructive progression, differentiated from actual infinity by its rejection of completed totality in favor of unbounded potential realizability.

20

Publications

685

Citations

38

Authors

27

Institutions

Publications per year

2017–2026

4

Variants

Potential Infinite

Parents

Publications

20

Infinity and the Mind. The Science and Philosophy of the Infinite.

Philip J. Davis, Rudy Rucker · American Mathematical Monthly · 1984 · 111 citations

, , +14

Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity

Antonio Ambrosetti, Andrea Malchiodi, David Ruiz · Journal d Analyse Mathématique · 2006 · 95 citations · Full text

, , +11

Life in the Infinite Universe

George Ellis, G. B. Brundrit · QJRAS · 1979 · 79 citations

, , +12

Actual and Potential Infinity

Øystein Linnebo, Stewart Shapiro · Noûs · 2017 · 62 citations · Full text

, , +10

The roles of visualization and symbolism in the potential and actual infinity of the limit process

Ivy Kidron, David Tall · Educational Studies in Mathematics · 2014 · 37 citations

, , +8

1–5 of 20

Authors

38

  1. GD
    Guoping Du

    Nanjing Tech University, China

    1 publications · 15 citations

    1

    h-index

  2. GS
    Georg Schwarz

    University of California San Diego, United States

    1 publications · 21 citations

    1

    h-index

  3. GE
    George Ellis

    University of Cape Town, South Africa

    1 publications · 79 citations

    1

    h-index

  4. TM
    Tad M. Schmaltz

    Duke University, United States

    1 publications · 23 citations

    1

    h-index

  5. DT
    David Tall

    University of Warwick, United Kingdom

    1 publications · 37 citations

    1

    h-index

1–5 of 38

Institutions

27

  1. University of Michigan

    Ann Arbor, United States

    1 h-index

    1 publications

    23 citations

  2. University of Illinois Chicago

    Chicago, United States

    1 h-index

    1 publications

    12 citations

  3. Nanjing University

    Nanjing, China

    1 h-index

    1 publications

    15 citations

  4. Universidad de Granada

    Granada, Spain

    1 h-index

    1 publications

    95 citations

  5. Stanford University

    Stanford, United States

    1 h-index

    1 publications

    26 citations

  6. University of Warwick

    Coventry, United Kingdom

    1 h-index

    1 publications

    37 citations

  7. Brazilian Society of Computational and Applied Mathematics

    São Carlos, Brazil

    1 h-index

    2 publications

    26 citations

  8. Sorbonne Université

    Paris, France

    1 h-index

    1 publications

    15 citations

1–8 of 27

Venues

  1. Journal of Physics A Mathematical and General

    1 publications · 16 citations

    1

    h-index

  2. British Journal for the History of Philosophy

    BJHP · 1 publications · 23 citations

    1

    h-index

  3. Communications in Contemporary Mathematics

    1 publications · 13 citations

    1

    h-index

  4. 1

    h-index

  5. Noûs

    1 publications · 62 citations

    1

    h-index

1–5