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1. |
Record Nr. |
UNISA996547961903316 |
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Autore |
Farmer William Michael |
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Titolo |
Simple type theory : a practical logic for expressing and reasoning about mathematical ideas / / William M. Farmer |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2023] |
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©2023 |
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ISBN |
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9783031211126 |
9783031211119 |
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Edizione |
[1st ed. 2023.] |
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Descrizione fisica |
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1 online resource (309 pages) |
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Collana |
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Computer science foundations and applied logic |
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Disciplina |
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Soggetti |
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Computer science - Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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1 Introduction -- 2 Answers to Readers’ Questions -- 3 Preliminary Concepts -- 4 Syntax -- 5 Semantics -- 6 Additional Notation -- 7 Beta-reduction and Substitution -- 8 Proof Systems -- 9 Theories -- 10 Sequences -- 11 Developments -- 12 Real Number Mathematics -- 13 Morphisms 14 Alonzo Variants -- 15 Software Support. |
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Sommario/riassunto |
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This unique textbook, in contrast to a standard logic text, provides the reader with a logic that actually can be used in practice to express and reason about mathematical ideas. The book is an introduction to simple type theory, a classical higher-order version of predicate logic that extends first-order logic. It presents a practice-oriented logic called Alonzo that is based on Alonzo Church's formulation of simple type theory known as Church's type theory. Unlike traditional predicate logics, Alonzo admits undefined expressions. The book illustrates, using Alonzo, how simple type theory is suited ideally for reasoning about mathematical structures and constructing libraries of mathematical knowledge. Topics and features: Offers the first book-length introduction to simple type theory as a predicate logic Provides the reader with a logic that is close to mathematical practice Presents the tools needed to build libraries of mathematical knowledge Employs two semantics, one for mathematics and one for logic Emphasizes the model-theoretic view of predicate logic Includes several important topics, such as definite description and theory morphisms, not usually |
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found in standard logic textbooks Aimed at students of computing and mathematics at the graduate or upper-undergraduate level, this book is also well-suited for mathematicians, computing professionals, engineers, and scientists who need a practical logic for expressing and reasoning about mathematical ideas. William M. Farmer is a Professor in the Department of Computing and Software at McMaster University in Hamilton, Ontario, Canada. |
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2. |
Record Nr. |
UNINA9911018859903321 |
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Autore |
Malotki Ekkehart |
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Titolo |
Hopi Coyote Tales : : Istutuwutsi / / Ekkehart Malotki, Michael Lomatuway'ma ; illustrations by Anne-Marie Malotki |
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Pubbl/distr/stampa |
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Lincoln : , : University of Nebraska Press, , [1984] |
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©[1984] |
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ISBN |
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Descrizione fisica |
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1 online resource: : illustrations |
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Collana |
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American tribal religions ; ; v. 9 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Hopi Indians - Folklore |
Indians of North America |
Fables. |
Contes. |
Legendes. |
Folk tales. |
Legends. |
Folklore |
Texts |
Folklore |
Fables |
Folk tales |
Legends |
legends (literary genre) |
fables. |
folk tales. |
Electronic books. |
Hopi |
Arizona |
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Lingua di pubblicazione |
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Indiano del Centro-America (Altro) |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Coyote and Porcupine / Iisawniqw Muungyaw -- Coyote and Water Serpent / Iisawniqw Paaloloqangw -- Coyote and Badger / Iisawniqw Honani -- Coyote and the Spiders / Iisawniqw Kookookyangwkt -- Coyote and Wren / Iisawniqw Tutsvo -- Coyote and the Blue Jays / Iisawniqw A'aat -- Coyote and Crow / Iisawniqw Angwusi -- Coyote and the Turkeys / Iisawniqw Kokoyongkt -- Coyote and Little Bird / Iisawniqw Tsirooya -- Coyote and the Bird Girls / Iisawniqw Tsiromamant -- Coyote and Grasshopper / Iisawniqw Tootolo -- Coyote and Cicada / Iisawniqw Maahu -- Coyote and the Cowboy / Iisawniqw Wakaslalayqa -- Coyote and the Navajo / Iisawniqw Tasavu -- Coyote on a Salt Expedition / Iisaw Ongmokto -- Coyote and Pavayoykyasi / Iisawniqw Pavayoykyasi -- The Coyote Chain / Ii'ist Naahahayya -- Coyote Learns Sorcery / Iisaw Powaqvaki -- Coyote and the So'yoko Ogre / Iisawniqw So'yoko -- Coyote and the Korowiste Kachinas / Iisaw Korowistemuy Walpeq Tsamva -- Coyote Boy Marries a Girl from Musangnuvi / Iistiyo Musangnupnomata. |
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Sommario/riassunto |
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This volume brings together twenty-one traditional tales recently retold by Hopi narrators. Complete with English translations and original Hopi transcriptions on facing pages and a bilingual glossary. Hopi Coyote Tales is important to an understanding of the Hopi language and folklore. To nomadic hunters such as the Navajo, who competed with him on the open range, Coyote was by turns a formidable trickster, a demonic witchperson, and a god. As sedentary planters, the Hopis tended to reduce Coyote to the level of a laughable fool. In these tales Coyote is a friendly bumbler whose mistakes teach listeners what tricks to avoid. Time after time he is hurt or killed for failing to understand a situation correctly. The collection is as amusing as animal fables should be, as simply told, and as instructive. Published as a companion volume to Father Berard Haile's Navajo Coyote Tales, Hopi Coyote Tales is a valuable contribution to cross-cultural studies. |
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