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Advances in Proof-Theoretic Semantics

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Book Series: Trends in Logic ISSN: 15726126 ISBN: 9783319226859 9783319226866 Year: Volume: 43 Pages: 283 DOI: 10.1007/978-3-319-22686-6 Language: English
Publisher: Springer
Subject: Philosophy --- Mathematics --- Statistics
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This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory. The field of proof-theoretic semantics has existed for almost 50 years, but the term itself was proposed by Schroeder-Heister in the 1980s. Proof-theoretic semantics explains the meaning of linguistic expressions in general and of logical constants in particular in terms of the notion of proof. This volume emerges from presentations at the Second International Conference on Proof-Theoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a self-contained description and analysis of a significant research question in this area. The contributions are representative of the field and should be of interest to logicians, philosophers, and mathematicians alike.

Bayesian Methods in the Search for MH370

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Book Series: SpringerBriefs in Electrical and Computer Engineering ISSN: 2191-8112 ISBN: 9789811003783 9789811003790 Year: Pages: 114 DOI: 10.1007/978-981-10-0379-0 Language: English
Publisher: Springer
Subject: Statistics
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This book demonstrates how nonlinear/non-Gaussian Bayesian time series estimation methods were used to produce a probability distribution of potential MH370 flight paths. It provides details of how the probabilistic models of aircraft flight dynamics, satellite communication system measurements, environmental effects and radar data were constructed and calibrated. The probability distribution was used to define the search zone in the southern Indian Ocean. The book describes particle-filter based numerical calculation of the aircraft flight-path probability distribution and validates the method using data from several of the involved aircraft’s previous flights. Finally it is shown how the Reunion Island flaperon debris find affects the search probability distribution.

The Challenge of Chance: A Multidisciplinary Approach from Science and the Humanities

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Book Series: The Frontiers Collection ISSN: 1612-3018 ISBN: 9783319262987 9783319263007 Year: Pages: 276 DOI: 10.1007/978-3-319-26300-7 Language: English
Publisher: Springer
Subject: Statistics
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This book presents a multidisciplinary perspective on chance, with contributions from distinguished researchers in the areas of biology, cognitive neuroscience, economics, genetics, general history, law, linguistics, logic, mathematical physics, statistics, theology and philosophy. The individual chapters are bound together by a general introduction followed by an opening chapter that surveys 2500 years of linguistic, philosophical, and scientific reflections on chance, coincidence, fortune, randomness, luck and related concepts. A main conclusion that can be drawn is that, even after all this time, we still cannot be sure whether chance is a truly fundamental and irreducible phenomenon, in that certain events are simply uncaused and could have been otherwise, or whether it is always simply a reflection of our ignorance. Other challenges that emerge from this book include a better understanding of the contextuality and perspectival character of chance (including its scale-dependence), and the curious fact that, throughout history (including contemporary science), chance has been used both as an explanation and as a hallmark of the absence of explanation. As such, this book challenges the reader to think about chance in a new way and to come to grips with this endlessly fascinating phenomenon.

Empirical Research in Statistics Education

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Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319389677 9783319389684 Year: Pages: 37 DOI: 10.1007/978-3-319-38968-4 Language: English
Publisher: Springer
Subject: Mathematics --- Education --- Statistics
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This ICME-13 Topical Survey provides a review of recent research into statistics education, with a focus on empirical research published in established educational journals and on the proceedings of important conferences on statistics education. It identifies and addresses six key research topics, namely: teachers’ knowledge; teachers’ role in statistics education; teacher preparation; students’ knowledge; students’ role in statistics education; and how students learn statistics with the help of technology. For each topic, the survey builds upon existing reviews, complementing them with the latest research.

Guide to Sources of Texas Criminal Justice Statistics

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ISBN: 9781574413144 Year:
Publisher: University of North Texas Press
Subject: Statistics
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META-NET Strategic Research Agenda for Multilingual Europe 2020

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Book Series: White Paper Series ISSN: 21941416 ISBN: 9783642363481 9783642363498 Year: Pages: 87 DOI: http://dx.doi.org/10.1007/978-3-642-36349-8 Language: English
Publisher: Springer
Subject: Media and communication --- Computer Science --- Mathematics --- Statistics
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In everyday communication, Europe’s citizens, business partners and politicians are inevitably confronted with language barriers. Language technology has the potential to overcome these barriers and to provide innovative interfaces to technologies and knowledge. This document presents a Strategic Research Agenda for Multilingual Europe 2020. The agenda was prepared by META-NET, a European Network of Excellence. META-NET consists of 60 research centres in 34 countries, who cooperate with stakeholders from economy, government agencies, research organisations, non-governmental organisations, language communities and European universities. META-NET’s vision is high-quality language technology for all European languages.

Quantization on Nilpotent Lie Groups

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Book Series: Progress in Mathematics ISSN: 07431643 ISBN: 9783319295572 9783319295589 Year: Volume: 314 Pages: 557 DOI: 10.1007/978-3-319-29558-9 Language: English
Publisher: Springer
Subject: Statistics --- Biotechnology --- Computer Science --- Pharmacy and materia medica
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This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups. The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.

Reichenbach’s Paradise. Constructing the Realm of Probabilstic Common “Causes”

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ISBN: 9783110372717 Year: Pages: 113 DOI: 10.2478/9783110372717 Language: English
Publisher: De Gruyter
Subject: Statistics --- Philosophy
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Since its introduction by Hans Reichenbach, many philosophers have claimed to refute the idea – known as the common cause principle – that any surprising correlation between any two factors that do not directly influence one another is due to some common cause. For example, falsity of the principle is frequently inferred from falsifiability of Bell’s inequalities. The author demonstrates, however, that the situation is not so straightforward. There is more than one version of the principle formulated with the use of different variants of Reichenbach-inspired notions; their falsity still remains an open question. The book traces different formulations of the principle and provides proofs of a few pertinent theorems, settling the relevant questions in various probability spaces. In exploring mathematical and philosophical issues surrounding the principle, the book offers both philosophical insight and mathematical rigor.

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