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Hace 7 horas · Paul R. Halmos - Lester R. Ford Awards; Merten M. Hasse Prize; George Pólya Awards; David P. Robbins Prize; Beckenbach Book Prize; Euler Book Prize; Daniel Solow Author’s Award; Teaching Awards. Henry L. Alder Award; Deborah and Franklin Tepper Haimo Award; Service Awards. Certificate of Merit; Gung and Hu Distinguished Service; JPBM ...
Hace 2 días · Type theory was created to avoid a paradox in a mathematical equation based on naive set theory and formal logic. Russell's paradox (first described in Gottlob Frege's The Foundations of Arithmetic) is that, without proper axioms, it is possible to define the set of all sets that are not members of themselves; this set both contains itself and does not contain itself.
494K subscribers in the mathmemes community. Give me some mathematical memes!
Hace 2 días · "From the foregoing we see that the two justifications each leave something to be desired. The first depends entirely on the hypothetical fo...
Hace 3 días · Coming across this classic geometric paradox recently in Futility Closet motivated me to write down its solution in detail. “Where did the empty square come from?”
Hace 2 días · Hall's marriage theorem is a result in combinatorics that specifies when distinct elements can be chosen from a collection of overlapping finite sets. It is equivalent to several beautiful theorems in combinatorics, including Dilworth's theorem.
Hace 4 días · - Paul Halmos. "Do not worry about your difficulties in mathematics; I can assure you that mine are still greater." - Albert Einstein. "Mathematics is the music of reason." - James Joseph Sylvester. "The essence of mathematics is not to make simple things complicated, but to make complicated things simple." - S. Gudder.
