Forall X

Forall X

Author: P. D. Magnus

Publisher:

Published: 2023

Total Pages: 0

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis Forall X by : P. D. Magnus

Download or read book Forall X written by P. D. Magnus and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Forall X

Forall X

Author: P. D. Magnus

Publisher: Orange Grove Texts Plus

Published: 2009-09-24

Total Pages: 0

ISBN-13: 9781616100353

DOWNLOAD EBOOK

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


Book Synopsis Forall X by : P. D. Magnus

Download or read book Forall X written by P. D. Magnus and published by Orange Grove Texts Plus. This book was released on 2009-09-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Certified Programming with Dependent Types

Author: Adam Chlipala

Publisher: MIT Press

Published: 2013-12-06

Total Pages: 437

ISBN-13: 0262317885

DOWNLOAD EBOOK

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.


Book Synopsis Certified Programming with Dependent Types by : Adam Chlipala

Download or read book Certified Programming with Dependent Types written by Adam Chlipala and published by MIT Press. This book was released on 2013-12-06 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Think Again

Think Again

Author: Adam Grant

Publisher: Penguin

Published: 2023-12-26

Total Pages: 321

ISBN-13: 1984878123

DOWNLOAD EBOOK

#1 New York Times Bestseller “THIS. This is the right book for right now. Yes, learning requires focus. But, unlearning and relearning requires much more—it requires choosing courage over comfort. In Think Again, Adam Grant weaves together research and storytelling to help us build the intellectual and emotional muscle we need to stay curious enough about the world to actually change it. I’ve never felt so hopeful about what I don’t know.” —Brené Brown, Ph.D., #1 New York Times bestselling author of Dare to Lead The #1 New York Times bestselling author of Hidden Potential, Originals, and Give and Take examines the critical art of rethinking: learning to question your opinions and open other people's minds, which can position you for excellence at work and wisdom in life Intelligence is usually seen as the ability to think and learn, but in a rapidly changing world, there's another set of cognitive skills that might matter more: the ability to rethink and unlearn. In our daily lives, too many of us favor the comfort of conviction over the discomfort of doubt. We listen to opinions that make us feel good, instead of ideas that make us think hard. We see disagreement as a threat to our egos, rather than an opportunity to learn. We surround ourselves with people who agree with our conclusions, when we should be gravitating toward those who challenge our thought process. The result is that our beliefs get brittle long before our bones. We think too much like preachers defending our sacred beliefs, prosecutors proving the other side wrong, and politicians campaigning for approval--and too little like scientists searching for truth. Intelligence is no cure, and it can even be a curse: being good at thinking can make us worse at rethinking. The brighter we are, the blinder to our own limitations we can become. Organizational psychologist Adam Grant is an expert on opening other people's minds--and our own. As Wharton's top-rated professor and the bestselling author of Originals and Give and Take, he makes it one of his guiding principles to argue like he's right but listen like he's wrong. With bold ideas and rigorous evidence, he investigates how we can embrace the joy of being wrong, bring nuance to charged conversations, and build schools, workplaces, and communities of lifelong learners. You'll learn how an international debate champion wins arguments, a Black musician persuades white supremacists to abandon hate, a vaccine whisperer convinces concerned parents to immunize their children, and Adam has coaxed Yankees fans to root for the Red Sox. Think Again reveals that we don't have to believe everything we think or internalize everything we feel. It's an invitation to let go of views that are no longer serving us well and prize mental flexibility over foolish consistency. If knowledge is power, knowing what we don't know is wisdom.


Book Synopsis Think Again by : Adam Grant

Download or read book Think Again written by Adam Grant and published by Penguin. This book was released on 2023-12-26 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: #1 New York Times Bestseller “THIS. This is the right book for right now. Yes, learning requires focus. But, unlearning and relearning requires much more—it requires choosing courage over comfort. In Think Again, Adam Grant weaves together research and storytelling to help us build the intellectual and emotional muscle we need to stay curious enough about the world to actually change it. I’ve never felt so hopeful about what I don’t know.” —Brené Brown, Ph.D., #1 New York Times bestselling author of Dare to Lead The #1 New York Times bestselling author of Hidden Potential, Originals, and Give and Take examines the critical art of rethinking: learning to question your opinions and open other people's minds, which can position you for excellence at work and wisdom in life Intelligence is usually seen as the ability to think and learn, but in a rapidly changing world, there's another set of cognitive skills that might matter more: the ability to rethink and unlearn. In our daily lives, too many of us favor the comfort of conviction over the discomfort of doubt. We listen to opinions that make us feel good, instead of ideas that make us think hard. We see disagreement as a threat to our egos, rather than an opportunity to learn. We surround ourselves with people who agree with our conclusions, when we should be gravitating toward those who challenge our thought process. The result is that our beliefs get brittle long before our bones. We think too much like preachers defending our sacred beliefs, prosecutors proving the other side wrong, and politicians campaigning for approval--and too little like scientists searching for truth. Intelligence is no cure, and it can even be a curse: being good at thinking can make us worse at rethinking. The brighter we are, the blinder to our own limitations we can become. Organizational psychologist Adam Grant is an expert on opening other people's minds--and our own. As Wharton's top-rated professor and the bestselling author of Originals and Give and Take, he makes it one of his guiding principles to argue like he's right but listen like he's wrong. With bold ideas and rigorous evidence, he investigates how we can embrace the joy of being wrong, bring nuance to charged conversations, and build schools, workplaces, and communities of lifelong learners. You'll learn how an international debate champion wins arguments, a Black musician persuades white supremacists to abandon hate, a vaccine whisperer convinces concerned parents to immunize their children, and Adam has coaxed Yankees fans to root for the Red Sox. Think Again reveals that we don't have to believe everything we think or internalize everything we feel. It's an invitation to let go of views that are no longer serving us well and prize mental flexibility over foolish consistency. If knowledge is power, knowing what we don't know is wisdom.


Sets, Logic, Computation

Sets, Logic, Computation

Author: Richard Zach

Publisher:

Published: 2021-07-13

Total Pages: 418

ISBN-13:

DOWNLOAD EBOOK

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.


Book Synopsis Sets, Logic, Computation by : Richard Zach

Download or read book Sets, Logic, Computation written by Richard Zach and published by . This book was released on 2021-07-13 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Death

Death

Author: Jaggi Vasudev (Sadhguru)

Publisher: Penguin/Ananda

Published: 2020

Total Pages: 0

ISBN-13: 9780143450832

DOWNLOAD EBOOK

Whether a believer or not, a devotee or an agnostic, an accomplished seeker or a simpleton, this is truly a book for all those who shall die!


Book Synopsis Death by : Jaggi Vasudev (Sadhguru)

Download or read book Death written by Jaggi Vasudev (Sadhguru) and published by Penguin/Ananda. This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whether a believer or not, a devotee or an agnostic, an accomplished seeker or a simpleton, this is truly a book for all those who shall die!


Handbook of Practical Logic and Automated Reasoning

Handbook of Practical Logic and Automated Reasoning

Author: John Harrison

Publisher: Cambridge University Press

Published: 2009-03-12

Total Pages: 703

ISBN-13: 0521899575

DOWNLOAD EBOOK

A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.


Book Synopsis Handbook of Practical Logic and Automated Reasoning by : John Harrison

Download or read book Handbook of Practical Logic and Automated Reasoning written by John Harrison and published by Cambridge University Press. This book was released on 2009-03-12 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.


Uncertainty Reasoning for the Semantic Web II

Uncertainty Reasoning for the Semantic Web II

Author: Fernando Bobillo

Publisher: Springer

Published: 2013-01-09

Total Pages: 345

ISBN-13: 3642359752

DOWNLOAD EBOOK

This book contains revised and significantly extended versions of selected papers from three workshops on Uncertainty Reasoning for the Semantic Web (URSW), held at the International Semantic Web Conferences (ISWC) in 2008, 2009, and 2010 or presented at the first international Workshop on Uncertainty in Description Logics (UniDL), held at the Federated Logic Conference (FLoC) in 2010. The 17 papers presented were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on probabilistic and Dempster-Shafer models, fuzzy and possibilistic models, inductive reasoning and machine learning, and hybrid approaches.


Book Synopsis Uncertainty Reasoning for the Semantic Web II by : Fernando Bobillo

Download or read book Uncertainty Reasoning for the Semantic Web II written by Fernando Bobillo and published by Springer. This book was released on 2013-01-09 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains revised and significantly extended versions of selected papers from three workshops on Uncertainty Reasoning for the Semantic Web (URSW), held at the International Semantic Web Conferences (ISWC) in 2008, 2009, and 2010 or presented at the first international Workshop on Uncertainty in Description Logics (UniDL), held at the Federated Logic Conference (FLoC) in 2010. The 17 papers presented were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on probabilistic and Dempster-Shafer models, fuzzy and possibilistic models, inductive reasoning and machine learning, and hybrid approaches.


Artificial Mathematical Intelligence

Artificial Mathematical Intelligence

Author: Danny A. J. Gómez Ramírez

Publisher: Springer Nature

Published: 2020-10-23

Total Pages: 268

ISBN-13: 3030502732

DOWNLOAD EBOOK

This volume discusses the theoretical foundations of a new inter- and intra-disciplinary meta-research discipline, which can be succinctly called cognitive metamathematics, with the ultimate goal of achieving a global instance of concrete Artificial Mathematical Intelligence (AMI). In other words, AMI looks for the construction of an (ideal) global artificial agent being able to (co-)solve interactively formal problems with a conceptual mathematical description in a human-style way. It first gives formal guidelines from the philosophical, logical, meta-mathematical, cognitive, and computational points of view supporting the formal existence of such a global AMI framework, examining how much of current mathematics can be completely generated by an interactive computer program and how close we are to constructing a machine that would be able to simulate the way a modern working mathematician handles solvable mathematical conjectures from a conceptual point of view. The thesis that it is possible to meta-model the intellectual job of a working mathematician is heuristically supported by the computational theory of mind, which posits that the mind is in fact a computational system, and by the meta-fact that genuine mathematical proofs are, in principle, algorithmically verifiable, at least theoretically. The introduction to this volume provides then the grounding multifaceted principles of cognitive metamathematics, and, at the same time gives an overview of some of the most outstanding results in this direction, keeping in mind that the main focus is human-style proofs, and not simply formal verification. The first part of the book presents the new cognitive foundations of mathematics’ program dealing with the construction of formal refinements of seminal (meta-)mathematical notions and facts. The second develops positions and formalizations of a global taxonomy of classic and new cognitive abilities, and computational tools allowing for calculation of formal conceptual blends are described. In particular, a new cognitive characterization of the Church-Turing Thesis is presented. In the last part, classic and new results concerning the co-generation of a vast amount of old and new mathematical concepts and the key parts of several standard proofs in Hilbert-style deductive systems are shown as well, filling explicitly a well-known gap in the mechanization of mathematics concerning artificial conceptual generation.


Book Synopsis Artificial Mathematical Intelligence by : Danny A. J. Gómez Ramírez

Download or read book Artificial Mathematical Intelligence written by Danny A. J. Gómez Ramírez and published by Springer Nature. This book was released on 2020-10-23 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses the theoretical foundations of a new inter- and intra-disciplinary meta-research discipline, which can be succinctly called cognitive metamathematics, with the ultimate goal of achieving a global instance of concrete Artificial Mathematical Intelligence (AMI). In other words, AMI looks for the construction of an (ideal) global artificial agent being able to (co-)solve interactively formal problems with a conceptual mathematical description in a human-style way. It first gives formal guidelines from the philosophical, logical, meta-mathematical, cognitive, and computational points of view supporting the formal existence of such a global AMI framework, examining how much of current mathematics can be completely generated by an interactive computer program and how close we are to constructing a machine that would be able to simulate the way a modern working mathematician handles solvable mathematical conjectures from a conceptual point of view. The thesis that it is possible to meta-model the intellectual job of a working mathematician is heuristically supported by the computational theory of mind, which posits that the mind is in fact a computational system, and by the meta-fact that genuine mathematical proofs are, in principle, algorithmically verifiable, at least theoretically. The introduction to this volume provides then the grounding multifaceted principles of cognitive metamathematics, and, at the same time gives an overview of some of the most outstanding results in this direction, keeping in mind that the main focus is human-style proofs, and not simply formal verification. The first part of the book presents the new cognitive foundations of mathematics’ program dealing with the construction of formal refinements of seminal (meta-)mathematical notions and facts. The second develops positions and formalizations of a global taxonomy of classic and new cognitive abilities, and computational tools allowing for calculation of formal conceptual blends are described. In particular, a new cognitive characterization of the Church-Turing Thesis is presented. In the last part, classic and new results concerning the co-generation of a vast amount of old and new mathematical concepts and the key parts of several standard proofs in Hilbert-style deductive systems are shown as well, filling explicitly a well-known gap in the mechanization of mathematics concerning artificial conceptual generation.


Program Proofs

Program Proofs

Author: K. Rustan M. Leino

Publisher: MIT Press

Published: 2023-03-07

Total Pages: 498

ISBN-13: 0262375427

DOWNLOAD EBOOK

This comprehensive and highly readable textbook teaches how to formally reason about computer programs using an incremental approach and the verification-aware programming language Dafny. Program Proofs shows students what it means to write specifications for programs, what it means for programs to satisfy those specifications, and how to write proofs that connect specifications and programs. Writing with clarity and humor, K. Rustan M. Leino first provides an overview of the basic theory behind reasoning about programs. He then gradually builds up to complex concepts and applications, until students are facing real programs using objects, data structures, and non-trivial recursion. To emphasize the practical nature of program proofs, all material and examples use the verification-aware programming language Dafny, but no previous knowledge of Dafny is assumed. Written in a highly readable and student-friendly style Builds up to complex concepts in an incremental manner Comprehensively covers how to write proofs and how to specify and verify both functional programs and imperative programs Uses real program text from a real programming language, not psuedo code Features engaging illustrations and hands-on learning exercises


Book Synopsis Program Proofs by : K. Rustan M. Leino

Download or read book Program Proofs written by K. Rustan M. Leino and published by MIT Press. This book was released on 2023-03-07 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive and highly readable textbook teaches how to formally reason about computer programs using an incremental approach and the verification-aware programming language Dafny. Program Proofs shows students what it means to write specifications for programs, what it means for programs to satisfy those specifications, and how to write proofs that connect specifications and programs. Writing with clarity and humor, K. Rustan M. Leino first provides an overview of the basic theory behind reasoning about programs. He then gradually builds up to complex concepts and applications, until students are facing real programs using objects, data structures, and non-trivial recursion. To emphasize the practical nature of program proofs, all material and examples use the verification-aware programming language Dafny, but no previous knowledge of Dafny is assumed. Written in a highly readable and student-friendly style Builds up to complex concepts in an incremental manner Comprehensively covers how to write proofs and how to specify and verify both functional programs and imperative programs Uses real program text from a real programming language, not psuedo code Features engaging illustrations and hands-on learning exercises