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Author: Stewart Shapiro
Publisher: Clarendon Press
ISBN: 0191524018
Category : Mathematics
Languages : en
Pages : 302
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Book Description
The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed development of higher-order logic, including a comprehensive discussion of its semantics. Professor Shapiro demonstrates the prevalence of second-order notions in mathematics is practised, and also the extent to which mathematical concepts can be formulated in second-order languages . He shows how first-order languages are insufficient to codify many concepts in contemporary mathematics, and thus that higher-order logic is needed to fully reflect current mathematics. Throughout, the emphasis is on discussing the philosophical and historical issues associated with this subject, and the implications that they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic as might be gained from a beginning graduate course which includes the incompleteness of arithmetic and the Lowenheim-Skolem theorems. All those concerned with the foundations of mathematics will find this a thought-provoking discussion of some of the central issues in this subject.
Author: Stewart Shapiro
Publisher: Clarendon Press
ISBN: 0191524018
Category : Mathematics
Languages : en
Pages : 302
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Book Description
The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed development of higher-order logic, including a comprehensive discussion of its semantics. Professor Shapiro demonstrates the prevalence of second-order notions in mathematics is practised, and also the extent to which mathematical concepts can be formulated in second-order languages . He shows how first-order languages are insufficient to codify many concepts in contemporary mathematics, and thus that higher-order logic is needed to fully reflect current mathematics. Throughout, the emphasis is on discussing the philosophical and historical issues associated with this subject, and the implications that they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic as might be gained from a beginning graduate course which includes the incompleteness of arithmetic and the Lowenheim-Skolem theorems. All those concerned with the foundations of mathematics will find this a thought-provoking discussion of some of the central issues in this subject.
Author: Geoffrey P. Webb
Publisher: John Wiley & Sons
ISBN: 1444340077
Category : Medical
Languages : en
Pages : 280
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Book Description
The study of nutritional supplements has become increasingly important within research establishments and universities throughout the world, and as the market for these products continues to grow, so does the need for comprehensive scientifically sound information about the products, their properties and potential health benefits. This second edition of Dietary Supplements & Functional Foods has been fully revised and expanded. The book looks at the accepted uses of dietary supplements and also explores the wider picture, identifying common themes and principles or particular categories of supplements. Much new information across the whole spectrum of this fascinating and expanding field is included, with additional material covering changes in relevant legislation, examples of superfoods, up-to-date information and informed debate concerning vitamin D, folic acid, fish oils and antioxidants Several new sections have been added to this successful and well-received book. This book is now even more user-friendly and ideal for course use, and an invaluable reference for those working in the health sciences, and the supplements industry. Dietitians, nutritionists, food scientists and food technologists will all find much of great use and value within its covers. All universities and research establishments where these subjects are studied and taught should have copies of this excellent new edition on their shelves.
Author: Tanya Chris
Publisher: TC Publishing
ISBN:
Category : Fiction
Languages : en
Pages : 128
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Book Description
Alpha Donovan is certain about one thing. His work recovering missing omegas who’ve been separated from their protectors is a service—to the alphas who hire him and to the omegas themselves. What he’s less confident about is his unconventional desire to be dominated by someone as strong as he is. No alpha is supposed to want that. When Donovan arrives in North Leland, he expects it to be just another job. Find the omega, bring her home. Then he meets Judge Tarek, the gorgeous alpha determined to thwart his mission. Tarek disapproves of his job, but not his fantasies, which he’s ready and oh-so-able to fulfill. Everything is backwards in this strange town. Wanting another alpha’s teeth in your neck is okay, but returning an omega to their rightful place isn’t? Donovan has a lot to learn, and if he can’t change his way of thinking fast enough, he’s going to lose what he’s never allowed himself to believe he could have. Omega Replaced is an alpha/alpha novella with BDSM components in the Omega Reimagined series. It can be read as part of the series or as a standalone. This is a non-MPREG omegaverse.
Author: United States. Congress. House. Committee on Appropriations. Subcommittee on Department of Transportation and Related Agencies Appropriations
Publisher:
ISBN:
Category : United States
Languages : en
Pages : 950
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Book Description
Author: Awanish Kumar
Publisher: CRC Press
ISBN: 1000197786
Category : Health & Fitness
Languages : en
Pages : 114
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Book Description
Diabetes: Epidemiology, Pathophysiology and Clinical Management aims to be the one-stop diabetes book for researchers, scientists and clinicians. It details the epidemiology, causes, molecular mechanisms, molecular markers, available drugs, experimental drugs, treatment modalities, and dietary and lifestyle approaches related to diabetes. It focuses on various molecular aspects of diabetes, and its related co-morbidities. Apart from the drug-based treatment approach based on international guidelines, this book also describes various surgical treatments available for cases of uncontrolled symptomatic diabetes. It also lays emphasis on the future possibilities of different approaches for diabetes management. Key Features Includes treatment guidelines and approaches to diabetes provided by major global diabetes associations Provides a thorough and comprehensive assimilation of detailed information and updates in the field of diabetes, helpful for researchers, scientists and clinicians Contains a chapter on anti-diabetic drugs, that covers both the commercially approved drugs as well as those that are in various phases of experimental, pre-clinical, and clinical trials
Author: Tabatha Austin
Publisher: Tabatha Austin
ISBN:
Category : Fiction
Languages : en
Pages : 228
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Book Description
When the universe breaks your heart, can you ever love again? When humanity’s unconscious power erased Wyatt’s Omega from the universe, he was shattered. Years later, the unmated small-town sheriff, is forced to live his remaining days as an enforcer to keep the shifter world a secret. Paranormal author Kyle Hamilton and latent Omega lives for research, but when he unknowingly stumbles too close to a long-held secret world, he’s marked for removal. While he awaits his execution, his scent attracts the attention of the disgruntled and broken-hearted sheriff. Kyle’s biology exposes him to a supernatural world of shifters, vampires and magic – all things that make his heart sing, but his biggest discovery just might be the reluctant-to-love sheriff, and that’s a challenge he’s willing to accept. Note: "The Replacement Omega" is a steamy Southern Urban Fantasy with no cheating and a HEA set in a paranormal Omegaverse. This male/male romance contains male pregnancy and is intended for adult readers. While this is in a shared universe, each story is written to stand on its own four feet.
Author:
Publisher:
ISBN:
Category : Fire fighters
Languages : en
Pages : 218
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Book Description
Author: United States. Congress. House. Committee on Appropriations. Subcommittee on Department of Transportation and Related Agencies Appropriations
Publisher:
ISBN:
Category :
Languages : en
Pages : 900
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Book Description
Author: Jay Duker
Publisher: CRC Press
ISBN: 1040137229
Category : Medical
Languages : en
Pages : 202
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Book Description
Retinal disease in general, and age-related macular degeneration (AMD) specifically, is of major interest worldwide due to the increasing aging population and the revolution in management of wet AMD over the past several years. Age-Related Macular Degeneration presents an up-to-date, clinically relevant monograph on the current diagnosis and management of AMD. Age-Related Macular Degeneration by Drs. Jay S. Duker and Andre J. Witkin serves as a reference for ophthalmologists treating AMD in the clinic as well as other eye care professionals who see and counsel patients with AMD. Chapters will focus on the pathogenesis and risk factors for AMD, the diagnosis of AMD, treatment options, and promising investigative interventions. To help readers gain familiarity recognizing AMD, the book contains multiple images in different formats: high quality color fundus photographs, black-and-white angiograms, black-and-white autofluorence images, and both color and black-and-white OCT images. Relevant to current management of AMD, Age-Related Macular Degeneration: Current Management concentrates on “clinical utility” rather than emphasizing published studies, filling the current void in the market for the general ophthalmology and optometry audience. Comprehensive ophthalmologists, optometrists and retinal specialists will appreciate the book’s practical approach to AMD.
Author: United States. Congress. Senate. Committee on Banking, Housing, and Urban Affairs
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 192
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Book Description
