Concepedia

Transfinite Arithmetic

Transfinite Arithmetic is a branch of mathematical logic that extends the operations of arithmetic to infinite cardinal and ordinal numbers, distinguishing itself from classical arithmetic by formalizing addition, multiplication, and exponentiation for transfinite quantities within set-theoretic frameworks.

30

Publications

1.4K

Citations

34

Authors

29

Institutions

Publications per year

2017–2026

3

Parents

Publications

30

On Some Difficulties in the Theory of Transfinite Numbers and Order Types

B. Russell · Proceedings of the London Mathematical Society · 1907 · 299 citations

, , +6

On Some Difficulties in the Theory of Transfinite Numbers and Order Types.

Harold Chapman Brown, Bertrand Russell · The Journal of Philosophy Psychology and Scientific Methods · 1906 · 134 citations

, , +6

TRANSFINITE NUMBERS IN PARACONSISTENT SET THEORY

Zach Weber · The Review of Symbolic Logic · 2010 · 106 citations

, , +16

TRANSFINITE CARDINALS IN PARACONSISTENT SET THEORY

Zach Weber · The Review of Symbolic Logic · 2012 · 88 citations

, , +12

Axioms and Theorems for a Theory of Arrays

T. A. More · IBM Journal of Research and Development · 1973 · 78 citations

, , +13

1–5 of 30

Authors

34

  1. RR
    R. Rado

    University Foundation, Belgium

    2 publications · 65 citations

    2

    h-index

  2. ZW
    Zach Weber

    University of Otago, New Zealand

    2 publications · 194 citations

    2

    h-index

  3. DF
    David Fernández–Duque

    Universidad de Sevilla, Spain

    1 publications · 13 citations

    1

    h-index

  4. HC
    Harold Chapman Brown

    Stanford University, United States

    1 publications · 134 citations

    1

    h-index

  5. NG
    Noam Greenberg

    Victoria University of Wellington, New Zealand

    1 publications · 20 citations

    1

    h-index

1–5 of 34

Institutions

29

  1. Center for Inquiry

    Buffalo, United States

    1 h-index

    1 publications

    106 citations

  2. The University of Texas at Austin

    Austin, United States

    1 h-index

    1 publications

    15 citations

  3. Alexandria University

    Alexandria, Egypt

    1 h-index

    1 publications

    22 citations

  4. University of California San Diego

    San Diego, United States

    1 h-index

    1 publications

    73 citations

  5. Ludwig-Maximilians-Universität München

    Munich, Germany

    1 h-index

    1 publications

    12 citations

  6. Victoria University of Wellington

    Wellington, New Zealand

    1 h-index

    1 publications

    20 citations

  7. University of North Carolina at Pembroke

    Pembroke, United States

    1 h-index

    1 publications

    27 citations

  8. University of Pennsylvania

    Philadelphia, United States

    1 h-index

    1 publications

    11 citations

1–8 of 29

Venues

  1. Proceedings of the London Mathematical Society

    4 publications · 421 citations

    4

    h-index

  2. Journal of Symbolic Logic

    4 publications · 116 citations

    4

    h-index

  3. The Review of Symbolic Logic

    3 publications · 229 citations

    3

    h-index

  4. Journal of the London Mathematical Society

    2 publications · 65 citations

    2

    h-index

  5. Journal of Pragmatics

    1 publications · 73 citations

    1

    h-index

1–5