Forall X


Book Description




Forall X Calgary


Book Description

"forall x: Calgary is a full-featured textbook on formal logic. It covers key notions of logic such as consequence and validity of arguments, the syntax of truth-functional propositional logic TFL and truth-table semantics, the syntax of first-order (predicate) logic FOL with identity (first-order interpretations), translating (formalizing) English in TFL and FOL, and Fitch-style natural deduction proof systems for both TFL and FOL. It also deals with some advanced topics such as modal logic, soundness, and functional completeness. Exercises with solutions are available. It is provided in PDF (for screen reading, printing, and a special version for dyslexics) and in LaTeX source code. A proof editor/checker for the proof system used is available at proofs.openlogicproject.org."--BCcampus website.




An Introduction to Proof Theory


Book Description

An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.




The Drybar Guide to Good Hair for All


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!




Galapagos


Book Description

This book details the natural history of the plants and animals found in the Galapagos Islands. A list of the dominant plants according to vegetation zone is included. Of particular note is the discussion of the problems of colonisation by founding populations, biological evolution, and ecology, and of the evolutionary processes bringing about species diversity.




Forall X


Book Description




Sets, Logic, Computation


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.




Developing Alberta's Oil Sands


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.




An Introduction to Formal Logic


Book Description

Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.




Achievement


Book Description

From the magisterial to the mundane, achievements play a role in the best kind of human life, and many people think that they are of such importance that they are worth pursuing at the expense of serious sacrifices. Yet for all that, no philosophers have devoted more than a few short passages to discerning what makes achievements valuable, or even what makes something an achievement to begin with. Gwen Bradford presents the first systematic account of what achievements are, and what it is about them that makes them worth doing. It turns out that more things count as achievements than we might have thought, and that what makes them valuable isn't something we usually think of as good. It turns out that difficulty, perhaps surprisingly, plays a central part in characterizing achievements and their value: achievements are worth the effort. But just what does it mean for something to be difficult, and why is it valuable? A thorough analysis of the nature of difficulty is given, and ultimately, the best account of the value of achievements taps into perfectionist axiology. But not just any perfectionist theory of value will do, and in this book we see a new perfectionist theory developed that succeeds in capturing the value of achievement better than its predecessors.