Concepedia

Ontological Commitment To Mathematics

Ontological Commitment to Mathematics is the philosophical stance that mathematical entities exist independently of human thought, language, or conventions, thereby asserting that our best mathematical theories genuinely refer to abstract, non-spatiotemporal objects and structures.

100

Publications

5.4K

Citations

112

Authors

58

Institutions

Publications per year

2017–2026

11

Parents

Publications

100

Philosophy of mathematics: structure and ontology

Choice Reviews Online · 1998 · 883 citations

, , +17

Mathematics as a Science of Patterns: Ontology and Reference

Michael D. Resnik · Noûs · 1981 · 366 citations

, , +17

Truthmakers and ontological commitment: or how to deal with complex objects and mathematical ontology without getting into trouble

Ross P. Cameron · Philosophical Studies · 2008 · 346 citations

, , +16

Logicism and the Ontological Commitments of Arithmetic

Harold T. Hodes · The Journal of Philosophy · 1984 · 294 citations · Full text

, , +17

The indispensability of mathematics

Choice Reviews Online · 2002 · 260 citations

, , +11

1–5 of 100

Authors

112

  1. SS
    Stewart Shapiro

    The Ohio State University, United States

    4 publications · 101 citations

    4

    h-index

  2. JA
    Jody Azzouni

    Tufts University, United States

    3 publications · 149 citations

    3

    h-index

  3. MC
    Mark Colyvan

    The University of Sydney, Australia

    2 publications · 82 citations

    2

    h-index

  4. BS
    Beatriz S. D’Ambrosio

    Miami University, United States

    2 publications · 133 citations

    2

    h-index

  5. LP
    Leslie P. Steffe

    University of Georgia, United States

    2 publications · 133 citations

    2

    h-index

1–5 of 112

Institutions

58

  1. University of Leeds

    Leeds, United Kingdom

    4 h-index

    4 publications

    481 citations

  2. Tufts University

    Medford, United States

    3 h-index

    3 publications

    149 citations

  3. The Ohio State University Newark

    Newark, United States

    3 h-index

    3 publications

    85 citations

  4. Indiana University

    Bloomington, United States

    2 h-index

    2 publications

    133 citations

  5. Massachusetts Institute of Technology

    Cambridge, United States

    2 h-index

    2 publications

    64 citations

  6. University of Georgia

    Athens, United States

    2 h-index

    2 publications

    133 citations

  7. Adelphi University

    Garden City, United States

    2 h-index

    3 publications

    267 citations

  8. University of Exeter

    Exeter, United Kingdom

    2 h-index

    2 publications

    52 citations

1–8 of 58

Venues

  1. Philosophia Mathematica

    8 publications · 265 citations

    8

    h-index

  2. Synthese

    8 publications · 194 citations

    7

    h-index

  3. The Philosophical Review

    7 publications · 622 citations

    7

    h-index

  4. The Journal of Philosophy

    5 publications · 381 citations

    5

    h-index

  5. Noûs

    4 publications · 412 citations

    4

    h-index

1–5