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Internal set theory (IST) is a mathematical theory of sets developed by Edward Nelson that provides an axiomatic basis for a portion of the nonstandard analysis introduced by Abraham Robinson. Instead of adding new elements to the real numbers, Nelson's approach modifies
David Nelson (born 1938) (also known as R. D. Nelson) is an English mathematician. He is a Chartered Mathematician and a Fellow of the Institute of Mathematics and its Applications . Nelson was educated at Calday Grange Grammar School, Cheshire, and won an open mathematical scholarship to Christ's College, Cambridge .
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According to Jensen & Toft (1995), the problem was first formulated by Nelson in 1950, and first published by Gardner (1960). Hadwiger (1945) had earlier published a related result, showing that any cover of the plane by five congruent closed sets contains a unit distance in one of the sets, and he also mentioned the problem in a later paper (Hadwiger 1961).
Nelson did her undergraduate studies at the University of North Dakota. [2] She completed her Ph.D. in 1988 at the University of Minnesota.Her dissertation concerned partial differential equations, and was supervised by Eugene Barry Fabes; it was Bounds for the Fundamental Solutions of Degenerate Parabolic Partial Differential Equations. [3]