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The Unity and Diversity of Probability
 Statistical Science
, 1990
"... Mathematical probability and its child, mathematical statistics, are relative newcomers on the intellectual scene. Mathematical probability was invented in 1654 by two Frenchman, Blaise Pascal and Pierre Fermat. Mathematical statistics emerged from the work of the continental mathematicians Gauss an ..."
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Mathematical probability and its child, mathematical statistics, are relative newcomers on the intellectual scene. Mathematical probability was invented in 1654 by two Frenchman, Blaise Pascal and Pierre Fermat. Mathematical statistics emerged from the work of the continental mathematicians Gauss and Laplace in the early 1800s, and it became widely useful only in this century, as the result of the work of three Englishmen, Francis Galton, Karl Pearson, and R.A. Fisher. In spite of these late beginnings, probability and statistics have acquired a dazzling range of applications. Inside the university, we see them taught and used in a remarkable range of disciplines. Statistics is used routinely in engineering, business, and medicine, and in every social and natural science. It is making inroads in law and in the humanities. Probability, aside from its use in statistical theory, is finding new applications in engineering, computer science, economics, psychology, and philosophy. 1 This article is based on the author's inaugural lecture as Ronald G. Harper Distinguished
A critical look at design, verification, and validation of large scale simulations
"... Note to the Reader. I see six constituencies in CSE: computer, mathematical, and physical scientists; engineers; and technical and nontechnical managers. I have adopted a conversational tone to make this article as widely accessible as possible. Ihave also provided a Bibliography. ..."
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Note to the Reader. I see six constituencies in CSE: computer, mathematical, and physical scientists; engineers; and technical and nontechnical managers. I have adopted a conversational tone to make this article as widely accessible as possible. Ihave also provided a Bibliography.
NonStandard Models of Arithmetic: a Philosophical and Historical perspective MSc Thesis (Afstudeerscriptie)
, 2010
"... 1 Descriptive use of logic and Intended models 1 1.1 Standard models of arithmetic.......................... 1 1.2 Axiomatics and Formal theories......................... 3 1.3 Hintikka and the two uses of logic in mathematics.............. 5 ..."
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1 Descriptive use of logic and Intended models 1 1.1 Standard models of arithmetic.......................... 1 1.2 Axiomatics and Formal theories......................... 3 1.3 Hintikka and the two uses of logic in mathematics.............. 5