Forall X
Author | : P. D. Magnus |
Publisher | : Orange Grove Texts Plus |
Total Pages | : 0 |
Release | : 2009-09-24 |
Genre | : |
ISBN | : 9781616100353 |
This book is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. It contains content, practice exercises, symbolic notations, and solutions to selected exercises. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. Anyone using this book is best advised to make a hard copy for reading and to work through practice exercises with pencil and paper. See: http: //www.fecundity.com/logic/download.html to download the book in raw LaTeX, and to link to Lulu on-demand publisher to order a bound hard copy. The most recent version is available on-line at http: //www.fecundity.com/logic, OGT+ ISBN: 97816161003
Certified Programming with Dependent Types
Author | : Adam Chlipala |
Publisher | : MIT Press |
Total Pages | : 437 |
Release | : 2013-12-06 |
Genre | : Computers |
ISBN | : 0262317885 |
A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus. The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq developments and minimize the cost of code change over time. Two topics, rarely discussed elsewhere, are covered in detail: effective dependently typed programming (making productive use of a feature at the heart of the Coq system) and construction of domain-specific proof tactics. Almost every subject covered is also relevant to interactive computer theorem proving in general, not just program verification, demonstrated through examples of verified programs applied in many different sorts of formalizations. The book develops a unique automated proof style and applies it throughout; even experienced Coq users may benefit from reading about basic Coq concepts from this novel perspective. The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book. All of the code appearing in the book is freely available online.
Sets, Logic, Computation
Author | : Richard Zach |
Publisher | : |
Total Pages | : 418 |
Release | : 2021-07-13 |
Genre | : |
ISBN | : |
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.
An Example for All the Land
Author | : Kate Masur |
Publisher | : Univ of North Carolina Press |
Total Pages | : 377 |
Release | : 2010-10-04 |
Genre | : Social Science |
ISBN | : 0807899321 |
An Example for All the Land reveals Washington, D.C. as a laboratory for social policy in the era of emancipation and the Civil War. In this panoramic study, Kate Masur provides a nuanced account of African Americans' grassroots activism, municipal politics, and the U.S. Congress. She tells the provocative story of how black men's right to vote transformed local affairs, and how, in short order, city reformers made that right virtually meaningless. Bringing the question of equality to the forefront of Reconstruction scholarship, this widely praised study explores how concerns about public and private space, civilization, and dependency informed the period's debate over rights and citizenship.
Strong Towns
Author | : Charles L. Marohn, Jr. |
Publisher | : John Wiley & Sons |
Total Pages | : 262 |
Release | : 2019-10-01 |
Genre | : Business & Economics |
ISBN | : 1119564816 |
A new way forward for sustainable quality of life in cities of all sizes Strong Towns: A Bottom-Up Revolution to Build American Prosperity is a book of forward-thinking ideas that breaks with modern wisdom to present a new vision of urban development in the United States. Presenting the foundational ideas of the Strong Towns movement he co-founded, Charles Marohn explains why cities of all sizes continue to struggle to meet their basic needs, and reveals the new paradigm that can solve this longstanding problem. Inside, you’ll learn why inducing growth and development has been the conventional response to urban financial struggles—and why it just doesn’t work. New development and high-risk investing don’t generate enough wealth to support itself, and cities continue to struggle. Read this book to find out how cities large and small can focus on bottom-up investments to minimize risk and maximize their ability to strengthen the community financially and improve citizens’ quality of life. Develop in-depth knowledge of the underlying logic behind the “traditional” search for never-ending urban growth Learn practical solutions for ameliorating financial struggles through low-risk investment and a grassroots focus Gain insights and tools that can stop the vicious cycle of budget shortfalls and unexpected downturns Become a part of the Strong Towns revolution by shifting the focus away from top-down growth toward rebuilding American prosperity Strong Towns acknowledges that there is a problem with the American approach to growth and shows community leaders a new way forward. The Strong Towns response is a revolution in how we assemble the places we live.
A Nation for All
Author | : Alejandro de la Fuente |
Publisher | : Univ of North Carolina Press |
Total Pages | : 466 |
Release | : 2011-01-20 |
Genre | : History |
ISBN | : 0807898767 |
After thirty years of anticolonial struggle against Spain and four years of military occupation by the United States, Cuba formally became an independent republic in 1902. The nationalist coalition that fought for Cuba's freedom, a movement in which blacks and mulattoes were well represented, had envisioned an egalitarian and inclusive country--a nation for all, as Jose Marti described it. But did the Cuban republic, and later the Cuban revolution, live up to these expectations? Tracing the formation and reformulation of nationalist ideologies, government policies, and different forms of social and political mobilization in republican and postrevolutionary Cuba, Alejandro de la Fuente explores the opportunities and limitations that Afro-Cubans experienced in such areas as job access, education, and political representation. Challenging assumptions of both underlying racism and racial democracy, he contends that racism and antiracism coexisted within Cuban nationalism and, in turn, Cuban society. This coexistence has persisted to this day, despite significant efforts by the revolutionary government to improve the lot of the poor and build a nation that was truly for all.
Discrete Mathematics
Author | : Oscar Levin |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 238 |
Release | : 2018-07-30 |
Genre | : |
ISBN | : 9781724572639 |
Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.