21,791 research outputs found
Children\u27s Friend Articles on Louie B. Felt
Text document pages 148-149,169 of the April 1940 children\u27s friend. pages 409,408,410,411,421 possibly from The Children\u27s Friend, 1910 Vol.9: Organ of the Primary Associations of the Church of Jesus Christ of Latter-Day Saint
List of expenses from \u3ci\u3eOur Florida Friend\u3c/i\u3e addressed to T. B. Larimore
List of expenses addressed to T. B. Larimore. The list is on Our Florida Friend letterhead and is dated 31 December 1912
Confronting Ideals of Proof with the Ways of Proving of the Research Mathematician
In this paper, we discuss the prevailing view amongst philosophers and many mathematicians concerning mathematical proof. Following Cellucci, we call the prevailing view the "axiomatic conception" of proof. The conception includes the ideas that: a proof is finite, it proceeds from axioms and it is the final word on the matter of the conclusion. This received view can be traced back to Frege, Hilbert and Gentzen, amongst others, and is prevalent in both mathematical text books and logic text books. Along with Cellucci, Rav, Grattan-Guinness and Grosholz, we deplore this view of mathematical proof, and favour instead the "analytic conception" of mathematical proof, where the axiomatic proof, when it exists at all, is only the core of a proof. An analytic proof solves a problem, by making hypotheses and using a mixture of deductive moves and induction (loosely construed to include diagrams, etc.) to present a solution to the problem. This implies that proofs are not always finite, that it might involve much more than axioms and straight logical inferences from these deductions and a proof can always be questioned. Moreover, this is where a lot of the interesting conceptual work of mathematics takes place. We view proofs as communicative acts made within the mathematical community which ensures correctness through application, context and standards of rigor
Recommended from our members
[Mary B. Friend outside]
Photograph of Mary B. Friend wearing a black dress and standing with a tree
Conrad B. Jordan's mother and friend Mary Fletcher sit outside
Jordan's mother and friend Mary Fletcher sit outside under a tree and have ice cream sodas. This photo may have been taken on the grounds of the DeWint House at George Washington Headquarters in Tappan, New York. (Conrad B. Jordan Photograph Collection, PHO 57.0.23) (Fall 1939
[Mary B. Friend outside]
Photograph of Mary B. Friend wearing a black dress and standing with a tree
[Mary B. Friend with tree]
Photograph of Mary B. Friend wearing a black dress and standing with a tree
Recommended from our members
[Mary B. Friend with tree]
Photograph of Mary B. Friend wearing a black dress and standing with a tree
Cora B Davis and Friend
Cora B. Davis and unknown friend. This may be at Gordon Keller Memorial Hospital in Tampa where Cora went to study nursing
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[Mary B. Friend on building steps]
Photograph of Mary B. Friend wearing a black dress standing on stairs outside of a building
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