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The Proof Stage


The Proof Stage
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The Proof Stage


The Proof Stage
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Author : Stephen Abbott
language : en
Publisher: Princeton University Press
Release Date : 2023-07-11

The Proof Stage written by Stephen Abbott and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-11 with Performing Arts categories.


How playwrights from Alfred Jarry and Samuel Beckett to Tom Stoppard and Simon McBurney brought the power of abstract mathematics to the human stage The discovery of alternate geometries, paradoxes of the infinite, incompleteness, and chaos theory revealed that, despite its reputation for certainty, mathematical truth is not immutable, perfect, or even perfectible. Beginning in the last century, a handful of adventurous playwrights took inspiration from the fractures of modern mathematics to expand their own artistic boundaries. Originating in the early avant-garde, mathematics-infused theater reached a popular apex in Tom Stoppard’s 1993 play Arcadia. In The Proof Stage, mathematician Stephen Abbott explores this unlikely collaboration of theater and mathematics. He probes the impact of mathematics on such influential writers as Alfred Jarry, Samuel Beckett, Bertolt Brecht, and Stoppard, and delves into the life and mathematics of Alan Turing as they are rendered onstage. The result is an unexpected story about the mutually illuminating relationship between proofs and plays—from Euclid and Euripides to Gödel and Godot. Theater is uniquely poised to discover the soulful, human truths embedded in the austere theorems of mathematics, but this is a difficult feat. It took Stoppard twenty-five years of experimenting with the creative possibilities of mathematics before he succeeded in making fractal geometry and chaos theory integral to Arcadia’s emotional arc. In addition to charting Stoppard’s journey, Abbott examines the post-Arcadia wave of ambitious works by Michael Frayn, David Auburn, Simon McBurney, Snoo Wilson, John Mighton, and others. Collectively, these gifted playwrights transform the great philosophical upheavals of mathematics into profound and sometimes poignant revelations about the human journey.



Proof


Proof
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Author : David Auburn
language : en
Publisher: Dramatists Play Service Inc
Release Date : 2001

Proof written by David Auburn and has been published by Dramatists Play Service Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Drama categories.


THE STORY: On the eve of her twenty-fifth birthday, Catherine, a troubled young woman, has spent years caring for her brilliant but unstable father, a famous mathematician. Now, following his death, she must deal with her own volatile emotions; the



Improving The Proof Evolution Of And Emerging Trends In Impact Assessment Methods And Approaches In Agricultural Development


Improving The Proof Evolution Of And Emerging Trends In Impact Assessment Methods And Approaches In Agricultural Development
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Author : Mywish K. Maredia
language : en
Publisher: Intl Food Policy Res Inst
Release Date :

Improving The Proof Evolution Of And Emerging Trends In Impact Assessment Methods And Approaches In Agricultural Development written by Mywish K. Maredia and has been published by Intl Food Policy Res Inst this book supported file pdf, txt, epub, kindle and other format this book has been release on with Social Science categories.


Assessing impacts of public investments has long captured the interest and attention of the development community. This paper presents the evolution of different methods and approaches used for ex ante appraisal, monitoring, project evaluation, and impact assessment over the last five decades. Among these tools, impact assessment (IA) conducted retrospectively comes closest to providing the proof of development effectiveness. It is defined as the systematic analysis of the significant or lasting changes in people's lives brought about by a given action or series of actions in relation to a counterfactual. There are three basic types of retrospective IAs: macro-level IAs that focus on the contribution of developmental efforts to an impact goal aggregated at a sector or a system level; micro-level impact evaluations (IEs) concerned with estimating the average effect of an intervention on outcomes at the beneficiary level; and micro-level ex post impact analysis concerned with total effects of a development effort after the outputs are scaled-up. Ex post IAs have evolved and expanded over the decades in both breadth and depth of analysis in response to evolving development themes and methodological advancements. The increased emphasis on learning from evaluations has also seen responses from both quantitative and qualitative camps of the evaluation community. The paper argues that generation of robust knowledge that feeds into making developmental policies and investment decisions requires a hierarchical and cumulative approach to "improving the proof" through rigorous and a variety of impact assessment methods applied incrementally at the project, program and system level. Subjecting as many development interventions as resources allow to rigorous impact assessment based on a common framework can help build a critical body of evidence on impacts of development interventions, which can then be subjected to meta-analyses to help assimilate results across different studies and build a knowledge base on what works and what does not.



Woolf Editing Editing Woolf


Woolf Editing Editing Woolf
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Author : Eleanor McNees
language : en
Publisher: Clemson University Press
Release Date : 2018-08-30

Woolf Editing Editing Woolf written by Eleanor McNees and has been published by Clemson University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-30 with Literary Criticism categories.


Woolf Editing / Editing Woolf focuses on Woolf as editor both of her own work and of the Hogarth Press, and on editing Woolf—on the conflation of textual and theoretical criticism of Woolf’s oeuvre. Since many contributors are editors, creative writers, and critics, contributions highlight the intersections of those three roles. The essays variously addressed the “granite” of close textual reading and the “rainbow” of theoretical approaches to Woolf’s writings. Several more flexible versions of editing emerge in the papers that discuss adaptations of Woolf to film, theatre, and music. Brenda Silver’s contribution in memory of Julia Briggs opens the volume, and James Haule’s contribution concludes it.



Proof In Vdm Case Studies


Proof In Vdm Case Studies
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Author : Juan C. Bicarregui
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Proof In Vdm Case Studies written by Juan C. Bicarregui and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Not so many years ago, it would have been difficult to find more than a handful of examples of the use of formal methods in industry. Today however, the industrial application of formal methods is becoming increasingly common in a variety of application areas, particularly those with a safety, security or financially critical aspects. Furthermore, in situations where a particularly high level of assurance is required, formal proof is broadly accepted as being of value. Perhaps the major benefit of formalisation is that it enables formal symbolic manip ulation of elements of a design and hence can provide developers with a variety of analyses which facilitate the detection of faults. Proof is just one of these possible formal activities, others, such as test case generation and animation, have also been shown to be effective bug finders. Proof can be used for both validation and verifi cation. Validation of a specification can be achieved by proving formal statements conjectured about the required behaviours of the system. Verification of the cor rectness of successive designs can be achieved by proof of a prescribed set of proof obligations generated from the specifications.



Intuitionistic Proof Versus Classical Truth


Intuitionistic Proof Versus Classical Truth
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Author : Enrico Martino
language : en
Publisher: Springer
Release Date : 2018-02-23

Intuitionistic Proof Versus Classical Truth written by Enrico Martino and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-23 with Mathematics categories.


This book examines the role of acts of choice in classical and intuitionistic mathematics. Featuring fifteen papers – both new and previously published – it offers a fresh analysis of concepts developed by the mathematician and philosopher L.E.J. Brouwer, the founder of intuitionism. The author explores Brouwer’s idealization of the creative subject as the basis for intuitionistic truth, and in the process he also discusses an important, related question: to what extent does the intuitionistic perspective succeed in avoiding the classical realistic notion of truth? The papers detail realistic aspects in the idealization of the creative subject and investigate the hidden role of choice even in classical logic and mathematics, covering such topics as bar theorem, type theory, inductive evidence, Beth models, fallible models, and more. In addition, the author offers a critical analysis of the response of key mathematicians and philosophers to Brouwer’s work. These figures include Michael Dummett, Saul Kripke, Per Martin-Löf, and Arend Heyting. This book appeals to researchers and graduate students with an interest in philosophy of mathematics, linguistics, and mathematics.



Methodology Of Judicial Proof And Presumption


Methodology Of Judicial Proof And Presumption
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Author : Jiahong He
language : en
Publisher: Springer
Release Date : 2018-01-23

Methodology Of Judicial Proof And Presumption written by Jiahong He and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-23 with Law categories.


This book offers the first theoretical approach to rules of evidence and the practice of judicial proof in China written in English by a Chinese professor. As Prof. He’s first representative work, based on over three decades of studying and researching evidence law, it clarifies concepts relevant to evidence law, highlights the value of studying evidence law, re-examines the domain of presumption, reviews central problems in obtaining evidence, and discusses the reasons for misjudged cases. In brief, the book not only presents all major aspects of Chinese rules of evidence in criminal justice, but also introduces readers to the latest developments from a global perspective.



Proof Technology And Computation


Proof Technology And Computation
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Author : Helmut Schwichtenberg
language : en
Publisher: IOS Press
Release Date : 2006

Proof Technology And Computation written by Helmut Schwichtenberg and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Computers categories.


Proof technology aims at integrating proof processing into industrial design and verifications tools. The chapters in this book deal with: the benefits and technical challenges of sharing formal mathematics among interactive theorem provers; proof normalization for various axiomatic theories; and more.



An Introduction To Proof Theory


An Introduction To Proof Theory
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Author : Paolo Mancosu
language : en
Publisher: Oxford University Press
Release Date : 2021-08-12

An Introduction To Proof Theory written by Paolo Mancosu and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-12 with Philosophy categories.


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.



Hci For Children With Disabilities


Hci For Children With Disabilities
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Author : Josefina Guerrero-Garcia
language : en
Publisher: Springer
Release Date : 2017-05-03

Hci For Children With Disabilities written by Josefina Guerrero-Garcia and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-03 with Computers categories.


In this book the authors present an HCI principle-based approach to develop applications to assist children with disabilities. Design knowledge related to developing complex solution for this audience is explained from an interaction design point of view. Different methodologies, models and cases studies are covered with the aim of helping practitioners to adopt any of the proposed techniques presented in this book. HCI methodologies that adopt an agile strategy are presented, including novel techniques at different development steps, such as: board games, agile planning, agile implementation, method engineering. As this is a huge research field the authors do not just focus on a specific disability but test their methods in different contexts with excellent results. Readers of this book will find both a well-organized and structured set of methodologies and also material that has been tested and refined throughout years of research. Using detailed case studies the reader is guided towards specific solutions which will also provide insights into how to address related problems.