(1861-1931)
Italian mathematician who worked in the field of vector analysis, especially on the linear transformations of vectors.
He also framed the Burali-Forte paradox 1897, which contradicted the notion that mathematics (or at least its foundations) could be adequately expressed in purely logical terms.
Burali-Forte was born in Arezzo, Tuscany, studied at Pisa, and became a professor at the Academia Militare di Artiglieria e Genio in Turin.
Burali-Fortes paradox states: To every class of ordinal numbers there corresponds an ordinal number which is greater than any element of the class. In 1902 English philosopher Bertrand Russell demonstrated that this contradiction was of a fundamental logical character and could not be overcome by minor changes in the theory of infinite ordinal numbers.
Much of Burali-Forte's work in the field of vector analysis was done in collaboration with Roberto Marcolongo. In 1904 they published a comprehensive analysis of existing systems of vector notation, producing 1909 their own proposals for a unified system. Burali-Forte simplified the foundations of vector analysis by the introduction of the notion of the derivative of a vector with respect to a point.
In 191213 Burali-Forte published more volumes on linear transformations and demonstrated their application to such things as the theory of mechanics of continuous bodies, hydrodynamics, optics, and some problems of mechanics. His last contribution, a paper on differential projective geometry, was finished 1930.
+ prikaži više