Proving the Unprovable

Proving the Unprovable PDF Author: Christopher Slobogin
Publisher: Oxford University Press
ISBN: 0198040962
Category : Psychology
Languages : en
Pages : 209

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Book Description
This book is written for researchers, scholars, advanced graduate students, and clinicians who work in risk assessment and criminal responsibility. It addresses the question of admitting expert testimony from behavioral health experts in determining matters of culpability and dangerousness by examining a number of factors, including the source of the expert testimony, whether juries need it, and whether it is presented as proven or informed in the court. It argues that the question cannot be understood as a dualistic matter of being for or against expert testimony; rather, its highly nuanced arguments show that determining who should be punished and who should be preventively detained must happen through an interdisciplinary process that looks at the specific circumstances of each case. It offers an analytic framework for making these determinations that treats culpability and dangerousness not as static, ontologically-complete entities, but rather as socially-constructed concepts that cannot be determined solely through the scientific method. The book makes the intriguing argument throughout that although expert testimony cannot be considered scientifically reliable or proven, it should nevertheless be included as long as it can be classified and understood as informed speculation because it makes legal factfinders attend more closely to the matters that the law considers pertinent to past mental states. It seeks to reconcile the tension between the law's demand for accuracy and the inability of behavioral science to provide more than speculative answers for most questions raised by the insanity defense and related doctrines and by sentencing, commitment and sex offender statutes that require determinations of risk.

Proving the Unprovable

Proving the Unprovable PDF Author: Christopher Slobogin
Publisher: Oxford University Press
ISBN: 0198040962
Category : Psychology
Languages : en
Pages : 209

Get Book Here

Book Description
This book is written for researchers, scholars, advanced graduate students, and clinicians who work in risk assessment and criminal responsibility. It addresses the question of admitting expert testimony from behavioral health experts in determining matters of culpability and dangerousness by examining a number of factors, including the source of the expert testimony, whether juries need it, and whether it is presented as proven or informed in the court. It argues that the question cannot be understood as a dualistic matter of being for or against expert testimony; rather, its highly nuanced arguments show that determining who should be punished and who should be preventively detained must happen through an interdisciplinary process that looks at the specific circumstances of each case. It offers an analytic framework for making these determinations that treats culpability and dangerousness not as static, ontologically-complete entities, but rather as socially-constructed concepts that cannot be determined solely through the scientific method. The book makes the intriguing argument throughout that although expert testimony cannot be considered scientifically reliable or proven, it should nevertheless be included as long as it can be classified and understood as informed speculation because it makes legal factfinders attend more closely to the matters that the law considers pertinent to past mental states. It seeks to reconcile the tension between the law's demand for accuracy and the inability of behavioral science to provide more than speculative answers for most questions raised by the insanity defense and related doctrines and by sentencing, commitment and sex offender statutes that require determinations of risk.

Incompleteness

Incompleteness PDF Author: Rebecca Goldstein
Publisher: W. W. Norton & Company
ISBN: 0393327604
Category : Biography & Autobiography
Languages : en
Pages : 299

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Book Description
"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.

Logically Fallacious

Logically Fallacious PDF Author: Bo Bennett
Publisher: eBookIt.com
ISBN: 1456607375
Category : Education
Languages : en
Pages : 429

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Book Description
This book is a crash course in effective reasoning, meant to catapult you into a world where you start to see things how they really are, not how you think they are. The focus of this book is on logical fallacies, which loosely defined, are simply errors in reasoning. With the reading of each page, you can make significant improvements in the way you reason and make decisions. Logically Fallacious is one of the most comprehensive collections of logical fallacies with all original examples and easy to understand descriptions, perfect for educators, debaters, or anyone who wants to improve his or her reasoning skills. "Expose an irrational belief, keep a person rational for a day. Expose irrational thinking, keep a person rational for a lifetime." - Bo Bennett This 2021 Edition includes dozens of more logical fallacies with many updated examples.

Why Evolution is True

Why Evolution is True PDF Author: Jerry A. Coyne
Publisher: OUP Oxford
ISBN: 019164384X
Category : Science
Languages : en
Pages : 416

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Book Description
For all the discussion in the media about creationism and 'Intelligent Design', virtually nothing has been said about the evidence in question - the evidence for evolution by natural selection. Yet, as this succinct and important book shows, that evidence is vast, varied, and magnificent, and drawn from many disparate fields of science. The very latest research is uncovering a stream of evidence revealing evolution in action - from the actual observation of a species splitting into two, to new fossil discoveries, to the deciphering of the evidence stored in our genome. Why Evolution is True weaves together the many threads of modern work in genetics, palaeontology, geology, molecular biology, anatomy, and development to demonstrate the 'indelible stamp' of the processes first proposed by Darwin. It is a crisp, lucid, and accessible statement that will leave no one with an open mind in any doubt about the truth of evolution.

Gödel's Theorem

Gödel's Theorem PDF Author: Torkel Franzén
Publisher: CRC Press
ISBN: 1439876924
Category : Mathematics
Languages : en
Pages : 182

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Book Description
"Among the many expositions of Gödel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzén gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of Logical Dilemmas: The Life and Work of Kurt Gödel

An Introduction to Gödel's Theorems

An Introduction to Gödel's Theorems PDF Author: Peter Smith
Publisher: Cambridge University Press
ISBN: 1139465937
Category : Mathematics
Languages : en
Pages : 376

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Book Description
In 1931, the young Kurt Gödel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove. This remarkable result is among the most intriguing (and most misunderstood) in logic. Gödel also outlined an equally significant Second Incompleteness Theorem. How are these Theorems established, and why do they matter? Peter Smith answers these questions by presenting an unusual variety of proofs for the First Theorem, showing how to prove the Second Theorem, and exploring a family of related results (including some not easily available elsewhere). The formal explanations are interwoven with discussions of the wider significance of the two Theorems. This book will be accessible to philosophy students with a limited formal background. It is equally suitable for mathematics students taking a first course in mathematical logic.

Godel's Incompleteness Theorems

Godel's Incompleteness Theorems PDF Author: Raymond M. Smullyan
Publisher: Oxford University Press
ISBN: 0195364376
Category : Mathematics
Languages : en
Pages : 156

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Book Description
Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently "undecidable." His work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum theory brought him further worldwide fame. In this introductory volume, Raymond Smullyan, himself a well-known logician, guides the reader through the fascinating world of Godel's incompleteness theorems. The level of presentation is suitable for anyone with a basic acquaintance with mathematical logic. As a clear, concise introduction to a difficult but essential subject, the book will appeal to mathematicians, philosophers, and computer scientists.

Principia Mathematica

Principia Mathematica PDF Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 688

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Book Description


On Formally Undecidable Propositions of Principia Mathematica and Related Systems

On Formally Undecidable Propositions of Principia Mathematica and Related Systems PDF Author: Kurt Gödel
Publisher: Courier Corporation
ISBN: 0486158403
Category : Mathematics
Languages : en
Pages : 82

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Book Description
First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite.

Forever Undecided

Forever Undecided PDF Author: Raymond M. Smullyan
Publisher: Knopf
ISBN: 0307962466
Category : Mathematics
Languages : en
Pages : 286

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Book Description
Forever Undecided is the most challenging yet of Raymond Smullyan’s puzzle collections. It is, at the same time, an introduction—ingenious, instructive, entertaining—to Gödel’s famous theorems. With all the wit and charm that have delighted readers of his previous books, Smullyan transports us once again to that magical island where knights always tell the truth and knaves always lie. Here we meet a new and amazing array of characters, visitors to the island, seeking to determine the natives’ identities. Among them: the census-taker McGregor; a philosophical-logician in search of his flighty bird-wife, Oona; and a regiment of Reasoners (timid ones, normal ones, conceited, modest, and peculiar ones) armed with the rules of propositional logic (if X is true, then so is Y). By following the Reasoners through brain-tingling exercises and adventures—including journeys into the “other possible worlds” of Kripke semantics—even the most illogical of us come to understand Gödel’s two great theorems on incompleteness and undecidability, some of their philosophical and mathematical implications, and why we, like Gödel himself, must remain Forever Undecided!