The Place of Probability in Science

The Place of Probability in Science

Author: Ellery Eells

Publisher: Springer Science & Business Media

Published: 2010-06-08

Total Pages: 396

ISBN-13: 9048136156

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Science aims at the discovery of general principles of special kinds that are applicable for the explanation and prediction of the phenomena of the world in the form of theories and laws. When the phenomena themselves happen to be general, the principlesinvolved assume the form of theories; and when they are p- ticular, they assume the form of general laws. Theories themselves are sets of laws and de nitions that apply to a common domain, which makes laws indispensable to science. Understanding science thus depends upon understanding the nature of theories and laws, the logical structure of explanations and predictions based upon them, and the principles of inference and decision that apply to theories and laws. Laws and theories can differ in their form as well as in their content. The laws of quantum mechanics are indeterministic (or probabilistic), for example, while those of classical mechanics are deterministic (or universal) instead. The history of science re ects an increasing role for probabilities as properties of the world but also as measures of evidential support and as degrees of subjective belief. Our purpose is to clarify and illuminate the place of probability in science.


Causation, Coherence and Concepts

Causation, Coherence and Concepts

Author: W. Spohn

Publisher: Springer Science & Business Media

Published: 2008-11-14

Total Pages: 385

ISBN-13: 1402054742

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In this collection I present 16 of my, I feel, more substantial papers on theoretical philosophy, 12 as originally published, one co-authored with Ulrike Haas-Spohn (Chapter14), one (Chapter 15) that was a brief conference commentary, but is in fact a suitable appendix to Chapter 14, one as a translation of a German paper (Chapter 12), and one newly written for this volume (Chapter 16), which, however, is only my recent attempt to properly and completely express an argument I had given in two earlier papers. I gratefully acknowledge permission of reprint from the relevant publishers at the beginning of each paper. In disciplinary terms the papers cover epistemology, general philosophy of science, philosophy of language, and philosophy of mind. The section titles Belief, Causation, Laws, Coherence, and Concepts and the paper titles give a more adequate impression of the topics dealt with. The papers are tightly connected. I feel they might be even read as unfolding a program, though this program was never fully clear in my mind and still isn’t. In the Introduction I attempt to describe what this program might be, thus drawing a reconstructed red thread, or rather two red threads, through all the papers. This will serve, at the same time, as an overview over the papers collected.


Making it Formally Explicit

Making it Formally Explicit

Author: Gábor Hofer-Szabó

Publisher: Springer

Published: 2017-04-18

Total Pages: 242

ISBN-13: 3319554867

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This book collects research papers on the philosophical foundations of probability, causality, spacetime and quantum theory. The papers are related to talks presented in six subsequent workshops organized by The Budapest-Kraków Research Group on Probability, Causality and Determinism. Coverage consists of three parts. Part I focuses on the notion of probability from a general philosophical and formal epistemological perspective. Part II applies probabilistic considerations to address causal questions in the foundations of quantum mechanics. Part III investigates the question of indeterminism in spacetime theories. It also explores some related questions, such as decidability and observation. The contributing authors are all philosophers of science with a strong background in mathematics or physics. They believe that paying attention to the finer formal details often helps avoiding pitfalls that exacerbate the philosophical problems that are in the center of focus of contemporary research. The papers presented here help make explicit the mathematical-structural assumptions that underlie key philosophical argumentations. This formally rigorous and conceptually precise approach will appeal to researchers and philosophers as well as mathematicians and statisticians.


Anselm's Argument

Anselm's Argument

Author: Brian Leftow

Publisher: Oxford University Press

Published: 2022

Total Pages: 332

ISBN-13: 019289692X

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"Anselm of Canterbury gave the first modal "ontological" argument for God's existence. Yet, despite its distinct originality, philosophers have mostly avoided the question of what modal concepts the argument uses, and whether Anselm's metaphysics entitles him to use them. Here, Brian Leftow sets out Anselm's modal metaphysics. He argues that Anselm has an "absolute", "broadly logical", or "metaphysical" modal concept, and that his metaphysics provides acceptable truth makers for claims in this modality. He shows that his modal argument is committed (in effect) to the Brouwer system of modal logic, and defends the claim that Brouwer is part of the logic of "absolute" or "metaphysical" modality. He also defends Anselm's premise that God would exist with absolute necessity against all extant objections, providing new arguments in support of it and ultimately defending all but one premise of Anselm's best argument for God's existence"--


Abrahamic Reflections on Randomness and Providence

Abrahamic Reflections on Randomness and Providence

Author: Kelly James Clark

Publisher: Springer Nature

Published: 2021-09-27

Total Pages: 381

ISBN-13: 3030757978

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This open access book addresses the question of how God can providentially govern apparently ungovernable randomness. Medieval theologians confidently held that God is provident, that is, God is the ultimate cause of or is responsible for everything that happens. However, scientific advances since the 19th century pose serious challenges to traditional views of providence. From Darwinian evolution to quantum mechanics, randomness has become an essential part of the scientific worldview. An interdisciplinary team of Muslim, Christian and Jewish scholars—biologists, physicists, philosophers and theologians—addresses questions of randomness and providence.


On the Plurality of Worlds

On the Plurality of Worlds

Author: David Lewis

Publisher: Wiley-Blackwell

Published: 2001-02-08

Total Pages: 288

ISBN-13: 9780631224266

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This book is a defense of modal realism; the thesis that our world is but one of a plurality of worlds, and that the individuals that inhabit our world are only a few out of all the inhabitants of all the worlds. Lewis argues that the philosophical utility of modal realism is a good reason for believing that it is true.


Probabilities in Physics

Probabilities in Physics

Author: Claus Beisbart

Publisher: Oxford University Press

Published: 2011-09-15

Total Pages:

ISBN-13: 0191618209

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Many results of modern physics—those of quantum mechanics, for instance—come in a probabilistic guise. But what do probabilistic statements in physics mean? Are probabilities matters of objective fact and part of the furniture of the world, as objectivists think? Or do they only express ignorance or belief, as Bayesians suggest? And how are probabilistic hypotheses justified and supported by empirical evidence? Finally, what does the probabilistic nature of physics imply for our understanding of the world? This volume is the first to provide a philosophical appraisal of probabilities in all of physics. Its main aim is to make sense of probabilistic statements as they occur in the various physical theories and models and to provide a plausible epistemology and metaphysics of probabilities. The essays collected here consider statistical physics, probabilistic modelling, and quantum mechanics, and critically assess the merits and disadvantages of objectivist and subjectivist views of probabilities in these fields. In particular, the Bayesian and Humean views of probabilities and the varieties of Boltzmann's typicality approach are examined. The contributions on quantum mechanics discuss the special character of quantum correlations, the justification of the famous Born Rule, and the role of probabilities in a quantum field theoretic framework. Finally, the connections between probabilities and foundational issues in physics are explored. The Reversibility Paradox, the notion of entropy, and the ontology of quantum mechanics are discussed. Other essays consider Humean supervenience and the question whether the physical world is deterministic.


A Companion to David Lewis

A Companion to David Lewis

Author: Barry Loewer

Publisher: John Wiley & Sons

Published: 2015-05-04

Total Pages: 597

ISBN-13: 1118388186

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In A Companion to David Lewis, Barry Loewer and Jonathan Schaffer bring together top philosophers to explain, discuss, and critically extend Lewis's seminal work in original ways. Students and scholars will discover the underlying themes and complex interconnections woven through the diverse range of his work in metaphysics, philosophy of language, logic, epistemology, philosophy of science, philosophy of mind, ethics, and aesthetics. The first and only comprehensive study of the work of David Lewis, one of the most systematic and influential philosophers of the latter half of the 20th century Contributions shed light on the underlying themes and complex interconnections woven through Lewis's work across his enormous range of influence, including metaphysics, language, logic, epistemology, science, mind, ethics, and aesthetics Outstanding Lewis scholars and leading philosophers working in the fields Lewis influenced explain, discuss, and critically extend Lewis's work in original ways An essential resource for students and researchers across analytic philosophy that covers the major themes of Lewis's work


Anthropic Bias

Anthropic Bias

Author: Nick Bostrom

Publisher: Routledge

Published: 2013-10-11

Total Pages: 240

ISBN-13: 113671099X

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Anthropic Bias explores how to reason when you suspect that your evidence is biased by "observation selection effects"--that is, evidence that has been filtered by the precondition that there be some suitably positioned observer to "have" the evidence. This conundrum--sometimes alluded to as "the anthropic principle," "self-locating belief," or "indexical information"--turns out to be a surprisingly perplexing and intellectually stimulating challenge, one abounding with important implications for many areas in science and philosophy. There are the philosophical thought experiments and paradoxes: the Doomsday Argument; Sleeping Beauty; the Presumptuous Philosopher; Adam & Eve; the Absent-Minded Driver; the Shooting Room. And there are the applications in contemporary science: cosmology ("How many universes are there?", "Why does the universe appear fine-tuned for life?"); evolutionary theory ("How improbable was the evolution of intelligent life on our planet?"); the problem of time's arrow ("Can it be given a thermodynamic explanation?"); quantum physics ("How can the many-worlds theory be tested?"); game-theory problems with imperfect recall ("How to model them?"); even traffic analysis ("Why is the 'next lane' faster?"). Anthropic Bias argues that the same principles are at work across all these domains. And it offers a synthesis: a mathematically explicit theory of observation selection effects that attempts to meet scientific needs while steering clear of philosophical paradox.


Consciousness and Meaning

Consciousness and Meaning

Author: Brian Loar

Publisher: Oxford University Press

Published: 2017

Total Pages: 341

ISBN-13: 0199673357

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One of the most important problems of modern philosophy concerns the place of subjectivity in a purely physical universe. Brian Loar was a major contributor to the discussion of this problem for over four decades. This volume brings together his most important and influential essays in the philosophy of language and of mind.