The Science of Conjecture

Evidence and Probability before Pascal

James Franklin (Autor)

Buch | Softcover

520 Seiten

2015
Johns Hopkins University Press (Verlag)
978-1-4214-1880-3 (ISBN)

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How did we make reliable predictions before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? In The Science of Conjecture, James Franklin examines how judges, witch inquisitors, and juries evaluated evidence; how scientists weighed reasons for and against scientific theories; and how merchants counted shipwrecks to determine insurance rates. The Science of Conjecture provides a history of rational methods of dealing with uncertainty and explores the coming to consciousness of the human understanding of risk.

James Franklin is a professor in the School of Mathematics and Statistics at the University of New South Wales.

Contents: Preface Chapter 1: The Ancient Law of Proof Egypt and Mesopotamia; The Talmud; Roman Law; Proof and Presumptions; Indian LawChapter 2: The Medieval Law of Evidence: Suspicion, Half-proof, and the Inquisition Dark Age Ordeals; The Gregorian Revolution; The Glossators Invent Half-Proof; Presumptions in Canon Law; Grades of Evidence and Torture; The Postglossators Bartolus and Baldus; The Competed Theory; The Inquisition; Law in the EastChapter 3: Renaissance Law Henry VIII Presumed Wed; Tudor Treason Trials; Continental Laws: The Treatises on Presumptions; The Witch Inquisitors; English Legal Theory and the Reasonable ManChapter 4: The Doubting Conscience and Moral Certainty Penance and Doubts; The Doctrine of Probabilism; Suarez: Negative and Positive Doubt; Grotius, Silhon, and the Morality of the State; Hobbes and the Risk of Attack; The Scandal of Laxism; English Casuists Pursue the Middle Way; Juan Caramuel Lobkowitz, Prince of Laxists; Pascal's Provincial LettersChapter 5: Rhetoric, Logic, Theory The Greek Vocabulary of Probability; The Sophists and the Art of Persuasion; Aristotle's Rhetoric and Logic; The Rhetoric to Alexander; Roman Rhetoric: Cicero and Quintilian; Islamic Logic; The Scholastic Dialectical Syllogism; Probability in Ordinary Language; Humanist Rhetoric; Late Scholastic LogicChapter 6: Hard Science Observation and Theory; Aristotle's Not-by-Chance Argument; Averaging of Observations in Greek Astronomy; The Simplicity of Theories; Nicole Oresme on Relative Frequency; Copernicus; Kepler Harmonizes Observations; Galileo on the Probability of Copernican HypothesisChapter 7: Soft Science and History The Physiognomics; Divination and Astrology; The Empiric School of Medicine on Drug Testing; The Talmud and Maimonides on Majorities; Vernacular Averaging and Quality Control; Experimentation in Biology; The Authority of Histories; The Authenticity of Documents; Valla and the Donation of Constantine; Cano and the Signs of True HistoriesChapter 8: Philosophy: Action and Induction Carneades's Mitigated Skepticism; The Epicureans on Inference from Signs; Inductive Skepticism and Avicenna's Reply; Aquinas on Tendencies; Scotus and Ockham on Induction; Nicholas of Autrecourt; The Decline of the West; Bacon and Descartes: Certainty? or Moral Certainty?; The Jesuits and Hobbes on Induction; Pascal's Deductivist Philosophy of ScienceChapter 9: Religion: Laws of God, Laws of Nature The Argument from Design; The Church Fathers; Inductive Skepticism by Revelation; John of Salisbury; Maimonides on Creation; Are Laws of Nature Necessary?; The Reasonableness of Christianity; Pascal's WagerChapter 10: Aleatory Contracts: Insurance, Annuities, and Bets The Price of Peril; Doubtful Claims in Jewish Law; Olivi on Usury and Future Profits; Pricing Life Annuities; Speculation in Public Debt; Insurance Rates; Renaissance Bets and Speculation; Lots and Lotteries; Commerce and the CasuistsChapter 11: Dice Games of Chance in Antiquity; The Medieval Manuscript on the Interrupted Game; Cardano; Gamblers and Casuists; Galileo's Fragment; De Mere and Roberval; The Fermat-Pascal Correspondence; Huygens' Reckoning in Games of Chance; CaramuelChapter 12: Conclusion Subsymbolic Probability and the Transition to Symbols; Kinds of Probability and the Stages of Discovering Them; Why Not Earlier?; Two Parallel Histories; The Genius of the Scholastics and the Orbit of Aristotle; The Place of Law in the history of IdeasEpilogue: The Survival of Unquantified Probability The Port-Royal Logic; Leibniz's Logic of Probability; To the PresentAppendix: Review of Work before 1660

Erscheint lt. Verlag	26.9.2015
Verlagsort	Baltimore, MD
Sprache	englisch
Maße	156 x 235 mm
Gewicht	794 g
Themenwelt	Geisteswissenschaften ► Geschichte ► Regional- / Ländergeschichte
	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
	Naturwissenschaften
ISBN-10	1-4214-1880-0 / 1421418800
ISBN-13	978-1-4214-1880-3 / 9781421418803
Zustand	Neuware