Description The author argues that “growth in mathematical knowledge often results when two or more distinct but related fields are unified by the hypothesis of a partial structural analogy, which allows for the combination of their resources in the solution and discovery of problems.” The author draws from two examples, the work of Alfred Tarski and W.H. Stone on Boolean algebra during the 1920s and 30s, and the “Borel heirarchy” developed by Borel, et al., at the turn of the century.
Article
Herreman, Alain;
(1997)
Le statut de la géométrie dans quelques textes sur l'homologie, de Poincaré aux années 1930
(/isis/citation/CBB000079258/)
Book
Dirk van Dalen;
(2011)
The Selected Correspondence of L.E.J. Brouwer
(/isis/citation/CBB532640423/)
Article
Hu, Zuoxuan;
(2003)
Wu Wen-tsun, from topology to mathematics-mechanization
(/isis/citation/CBB000340145/)
Article
Kirchgraber, Urs;
(1997)
Als Poincaré, Hadamard und Perron die invarianten Mannigfaltigkeiten entdeckten
(/isis/citation/CBB000074174/)
Article
Henderson, Linda Dalrymple;
(2009)
The Image and Imagination of the Fourth Dimension in Twentieth-Century Art and Culture
(/isis/citation/CBB001031506/)
Article
Arboleda, L.C.;
(1979)
Les débuts de l'École Topologique Soviétique: Notes sur les lettres de Paul S. Alexandroff et Paul S. Urysohn à Maurice Fréchet
(/isis/citation/CBB000017664/)
Article
Tripodi, Angelo;
(1973)
Dall'Analysis situs di [Felix] Klein alla topologie contemporanea
(/isis/citation/CBB000001612/)
Article
Cohn, Steven F.;
(1986)
The effects of funding changes upon the rate of knowledge growth in algebraic and differential topology, 1955-75
(/isis/citation/CBB000058401/)
Article
Michael Friedman;
(2020)
How to notate a crossing of strings? On Modesto Dedò’s notation of braids
(/isis/citation/CBB083323933/)
Chapter
Johnson, Dale M.;
(1987)
L.E.J. Brouwer's coming of age as a topologist
(/isis/citation/CBB000042993/)
Article
Piazza, Mario;
(1995)
“One must always topologize”: Il teorema di Stone, la “topologia influente” e l'epistemologia matematica
(/isis/citation/CBB000072362/)
Article
Pier, Jean-Paul;
(1980)
Historique de la notion de compacité
(/isis/citation/CBB000011199/)
Book
Dieudonné, Jean;
(1989)
A history of algebraic and differential topology, 1900-1960
(/isis/citation/CBB000034956/)
Article
Tonietti, Tito;
(1979)
Catastrofi e rivoluzioni: Una lettura sociologica, ideologica e storica
(/isis/citation/CBB000005420/)
Article
Taylor, Angus E.;
(1985)
A study of Maurice Fréchet. II: Mainly about his work on general topology, 1909-1928
(/isis/citation/CBB000058163/)
Article
Gorelik, G. E.;
(1981)
Die Wechselwirkung zwischen Physik und Mathematik im Werk der Begründer unserer modernen Vorstellung von der Raumdimension
(/isis/citation/CBB000022557/)
Article
Gluchoff, Alan;
Hartmann, Frederick;
(2000)
On a “much underestimated” paper of Alexander
(/isis/citation/CBB000110517/)
Chapter
Marquis, Jean-Pierre;
(2006)
A Path to the Epistemology of Mathematics: Homotopy Theory
(/isis/citation/CBB000800124/)
Article
Arboleda, Luis Carlos;
(1984)
Sobre los fundamentos de la teoría de los espacios compactos
(/isis/citation/CBB000039114/)
Article
Arboleda, L. C.;
(1981)
Les recherches de M. Fréchet, P. Alexandrov, W. Sierpiński et K. Kuratowski sur la théorie des types de dimension et les débuts de la topologie générale
(/isis/citation/CBB000012790/)
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