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Complete Selected Papers. Volume 1: Model Theory and Algebra, 694p. Volume 2: Nonstandard Analysis And Philosophy, 582p. Volume 3: Aeronautics, 270p. ... Read more

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High Quality Content by WIKIPEDIA articles! In model theory, a transfer principle states that all statements of some language that are true for some structure, are true for another structure. One of the first examples was the Lefschetz principle, stating that any sentence in the first-order language of fields true for the complex numbers is also true for any algebraically closed field of characteristic 0. Its most common use is in Abraham Robinson's non-standard analysis of the hyperreal numbers, where the transfer principle states that any sentence expressible in a certain formal language that is true of real numbers is also true of hyperreal numbers.The transfer principle concerns the logical relation between the properties of the real numbers R, and the properties of a larger field denoted *R called the hyperreals. The field *R includes, in particular, infinitesimal ("infinitely small") numbers, providing a rigorous mathematical realisation of a project initiated by Leibniz. ... Read more

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Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free.This is an OCR edition with typos.Excerpt from book:So the Lincoln legend-making, or folk-history, goes on. Possibly some wag will yet build the little still-house up at the end of the hollow, discover it, and get an association to buy it. The renewed interest in Lincoln's "liquor license" may indicate that he is to figure as a witness against the drys.—[New York Sun.]LINCOLN ON THE LIQUOR QUESTION.Hon. James S. Ewing, former minister to Belgium, said in his address on Lincoln in Bloomington, 1899, "I heard Mr. Lincoln define his position on the liquor question. This is authentic as it came from Mr. Lincoln himself. I am referring to a democratic meeting: the committee had placed on the sideboard in Judge Douglas's room (probably without his knowledge) a pitcher of water, some glasses, and a decanter of red liquor. As visitors called, they were invited to partake. Most of them declined. When Mr. Lincoln arose to go, Mr. Douglas said: 'Mr. Lincoln, won't you take something?' Mr. Lincoln said, 'No, I thank you.' Mr. Douglas said, 'What! Are you a member of a temperance society?' 'No!' said Mr. Lincoln, 'I am not a member of any temperance society, but I am temperate in this, that I do not drink anything.'"I remember in Springfield that it was customary on New Year's day for the gentlemen to call on the ladies. Many of the ladies had wine which they gave to their callers, and the result was that before night, many of the gentlemen showed the effect of taking too many drinks. It was commonly known among the ladies who the gentlemen were who refused wine, also those who refused to serve wine, among the latter being my mother who always refused to serve wine to callers. It was my impression that Lincoln was among those who did not participate.Lincoln was a man of the people, all his sympathies and activities being exerted... ... Read more