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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 160
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Book Description
Author: P. D. Magnus
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 0
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Book Description
Author: Paolo Mancosu
Publisher: Oxford University Press
ISBN: 0192895931
Category : Mathematics
Languages : en
Pages : 431
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Book Description
"Proof theory is a central area of mathematical logic of special interest to philosophy . It has its roots in the foundational debate of the 1920s, in particular, in Hilbert's program in the philosophy of mathematics, which called for a formalization of mathematics, as well as for a proof, using philosophically unproblematic, "finitary" means, that these systems are free from contradiction. Structural proof theory investigates the structure and properties of proofs in different formal deductive systems, including axiomatic derivations, natural deduction, and the sequent calculus. Central results in structural proof theory are the normalization theorem for natural deduction, proved here for both intuitionistic and classical logic, and the cut-elimination theorem for the sequent calculus. In formal systems of number theory formulated in the sequent calculus, the induction rule plays a central role. It can be eliminated from proofs of sequents of a certain elementary form: every proof of an atomic sequent can be transformed into a "simple" proof. This is Hilbert's central idea for giving finitary consistency proofs. The proof requires a measure of proof complexity called an ordinal notation. The branch of proof theory dealing with mathematical systems such as arithmetic thus has come to be called ordinal proof theory. The theory of ordinal notations is developed here in purely combinatorial terms, and the consistency proof for arithmetic presented in detail"--
Author: Paul Anthony Chastko
Publisher: University of Calgary Press
ISBN: 1552381242
Category : Business & Economics
Languages : en
Pages : 339
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Book Description
Alberta's oil sands represent a vast and untapped oil reserve that could reasonably supply all of Canada's energy needs for the next 475 years. With an estimated 300 billion barrels of recoverable oil at stake, the quest to develop this natural resource has been undertaken by many powerful actors, both nationally and internationally. Using research that integrates the economic, political, scientific, and business factors that have been influential in discovering and developing the sands, this book provides a comprehensive history of the oil sands project and a window on the nature of the complex relationships between industry, government, and transnational players. This book is the first comprehensive volume that examines the origins and development of the oil sands industry over the last century.
Author: Alli Webb
Publisher: Abrams
ISBN: 1613129882
Category : Design
Languages : en
Pages : 291
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Book Description
New York Times Bestseller Picture this. Your hair is a mess and you feel like a nut. You open your Drybar book and you feel better already! The Drybar Guide to Good Hair for All is the ultimate handbook for at-home hairstyling. Author Alli Webb, a long-time stylist and life-long curly hair girl, founded Drybar in 2010 as an affordable luxury—offering women a great blowout in a beautiful and fun atmosphere. Today, there are more than 60 Drybars across the country, with more opening every day. Drybar’s book makes it easy for women to get the Drybar look at home. Webb shares her tried and true tricks and tips in three in-depth sections featuring more than 100 style-inspiration photograph and step-by-step tutorials. Bright, upbeat, and loaded with style and substance, this book will give readers everywhere a good hair day at home!
Author: Richard Zach
Publisher:
ISBN:
Category :
Languages : en
Pages : 418
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Book Description
A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.
Author: Noel Keough
Publisher:
ISBN: 9781773852485
Category : Business & Economics
Languages : en
Pages : 256
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Book Description
Calgary, Alberta is a culturally diverse urban metropolis. Sprawling and car-dependent, fast-growing and affluent, it is dominated by the fossil fuel industry. For 30 years, Calgary has struggled to turn sustainability rhetoric into reality. Sustainability Matters is the story of Calgary's setbacks and successes on the path toward sustainability. Chronicling two decades of public conversations, political debate, urban policy and planning, and scholarly discovery, it is both a fascinating case study and an accessible introduction to the theory and practice of urban sustainability. A clear-eyed view of the struggles of turning knowledge into action, this book illuminates the places where theory and reality converge and presents an approach to municipal development, planning, and governance that takes seriously the urgent need to address climate change and injustice. Addressing a wide variety of topics and themes, including energy, diversity, economic development, and ecological health, Sustainability Matters is both a critique of current practice and a vision for the future that uses the city of Calgary as a microcosm to address issues faced by cities around the world. This is essential reading not only for every Calgarian working for a vibrant and sustainable future, but for all those interested in in the future of cities in a post-carbon world.
Author: John D. Norton
Publisher: Bsps Open
ISBN: 9781773852751
Category : Philosophy
Languages : en
Pages : 544
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Book Description
The fundamental burden of a theory of inductive inference is to determine which are the good inductive inferences or relations of inductive support and why it is that they are so. The traditional approach is modeled on that taken in accounts of deductive inference. It seeks universally applicable schemas or rules or a single formal device, such as the probability calculus. After millennia of halting efforts, none of these approaches has been unequivocally successful and debates between approaches persist. The Material Theory of Induction identifies the source of these enduring problems in the assumption taken at the outset: that inductive inference can be accommodated by a single formal account with universal applicability. Instead, it argues that that there is no single, universally applicable formal account. Rather, each domain has an inductive logic native to it.The content of that logic and where it can be applied are determined by the facts prevailing in that domain. Paying close attention to how inductive inference is conducted in science and copiously illustrated with real-world examples, The Material Theory of Induction will initiate a new tradition in the analysis of inductive inference.
Author: Richard Zach
Publisher:
ISBN: 9781077321380
Category :
Languages : en
Pages : 268
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Book Description
A textbook on modal and other intensional logics. It covers normal modal logics, relational semantics, axiomatic and tableaux proof systems, intuitionistic logic, and counterfactual conditionals. It is based on the Open Logic Project and available for free download at openlogicproject.org.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 160
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Book Description
Author: Markus Knauff
Publisher: MIT Press
ISBN: 026236185X
Category : Psychology
Languages : en
Pages : 879
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Book Description
The first reference on rationality that integrates accounts from psychology and philosophy, covering descriptive and normative theories from both disciplines. Both analytic philosophy and cognitive psychology have made dramatic advances in understanding rationality, but there has been little interaction between the disciplines. This volume offers the first integrated overview of the state of the art in the psychology and philosophy of rationality. Written by leading experts from both disciplines, The Handbook of Rationality covers the main normative and descriptive theories of rationality—how people ought to think, how they actually think, and why we often deviate from what we can call rational. It also offers insights from other fields such as artificial intelligence, economics, the social sciences, and cognitive neuroscience. The Handbook proposes a novel classification system for researchers in human rationality, and it creates new connections between rationality research in philosophy, psychology, and other disciplines. Following the basic distinction between theoretical and practical rationality, the book first considers the theoretical side, including normative and descriptive theories of logical, probabilistic, causal, and defeasible reasoning. It then turns to the practical side, discussing topics such as decision making, bounded rationality, game theory, deontic and legal reasoning, and the relation between rationality and morality. Finally, it covers topics that arise in both theoretical and practical rationality, including visual and spatial thinking, scientific rationality, how children learn to reason rationally, and the connection between intelligence and rationality.
