Concepedia

Constructible Numbers

Constructible Number is a real number that is the length of a line segment obtainable by straightedge and compass constructions starting from a unit segment, distinguished by its expressibility through a finite sequence of quadratic extensions over the rational numbers.

6

Publications

281

Citations

8

Authors

4

Institutions

Publications per year

2017–2026

0

Parents

Publications

6

A Mathematical Theory of Origami Constructions and Numbers

Roger C. Alperin · 2000 · 71 citations

, , +14

A nonconstructible Δ₃¹ set of integers

Robert M Solovay · Transactions of the American Mathematical Society · 1967 · 58 citations · Full text

, , +13

Degrees of unsolvability of constructible sets of integers

George Boolos, Hilary Putnam · Journal of Symbolic Logic · 1969 · 55 citations

, , +15

Criteria of constructibility for real numbers

John Myhill · Journal of Symbolic Logic · 1953 · 37 citations

, , +8

Ramsey cardinals and constructibility

William Mitchell · Journal of Symbolic Logic · 1979 · 36 citations · Full text

, , +13

1–5 of 6

Authors

8

  1. AH
    A. H. Lachlan

    Simon Fraser University, Canada

    1 publications · 24 citations

    1

    h-index

  2. HP
    Hilary Putnam

    Harvard University Press, United States

    1 publications · 55 citations

    1

    h-index

  3. RC
    Roger C. Alperin

    University of Oklahoma, United States

    1 publications · 71 citations

    1

    h-index

  4. RM
    Robert M Solovay

    University of California, Berkeley, United States

    1 publications · 58 citations

    1

    h-index

  5. GB
    George Boolos

    Massachusetts Institute of Technology, United States

    1 publications · 55 citations

    1

    h-index

1–5 of 8

Institutions

4

  1. Harvard University Press

    Cambridge, United States

    1 h-index

    2 publications

    110 citations

  2. Columbia University

    New York, United States

    1 h-index

    1 publications

    55 citations

  3. Rockefeller University

    New York, United States

    1 h-index

    1 publications

    36 citations

  4. Yale University

    New Haven, United States

    1 h-index

    1 publications

    37 citations

1–4 of 4

Venues

  1. Journal of Symbolic Logic

    3 publications · 128 citations

    3

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 1 publications · 24 citations

    1

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 1 publications · 58 citations

    1

    h-index

1–3