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Hace 4 días · After all, Kronecker wrote “God created the integers.” Model theorists, however, are able to see beyond the facade of this seemingly harmless mathematical structure. To understand why, we have to go back some 40 years before Shelah’s work.
Hace 1 día · The particular case of n = 3 was proved much earlier by Leonhard Euler, but Gauss developed a more streamlined proof which made use of Eisenstein integers; though more general, the proof was simpler than in the real integers case.
Hace 1 día · Even the mind itself is mirrored in mathematics, its endless reflections now confusing, now clarifying insight. […] As we follow the meanderings of zero’s symbols and meanings we’ll see along with it the making and doing of mathematics — by humans, for humans. No god gave it to us. Its muse speaks only to those who ardently pursue her.
Hace 3 días · Amalie Emmy Noether (US: / ˈ n ʌ t ər /, UK: / ˈ n ɜː t ə /; German:; 23 March 1882 – 14 April 1935) was a German mathematician who made many important contributions to abstract algebra. She proved Noether's first and second theorems, which are fundamental in mathematical physics.
Hace 4 días · Alan Mathison Turing OBE FRS (/ ˈ tj ʊər ɪ ŋ /; 23 June 1912 – 7 June 1954) was an English mathematician, computer scientist, logician, cryptanalyst, philosopher and theoretical biologist. Turing was highly influential in the development of theoretical computer science, providing a formalisation of the concepts of algorithm and computation with the Turing machine, which can be ...
Hace 5 días · This article presents that history, tracing the evolution over time of the concept of the equation, number systems, symbols for conveying and manipulating mathematical statements, and the modern abstract structural view of algebra.
Hace 3 días · Dr. Tao and Dr. Green proved that it is always possible to find, somewhere in the infinity of integers, a progression of prime numbers of equal spacing and any length. Many other results of Tao have received mainstream attention in the scientific press, including:
