Coverart for item
The Resource Probability and statistical inference in ancient and medieval Jewish literature, Nachum L. Rabinovitch

Probability and statistical inference in ancient and medieval Jewish literature, Nachum L. Rabinovitch

Label
Probability and statistical inference in ancient and medieval Jewish literature
Title
Probability and statistical inference in ancient and medieval Jewish literature
Statement of responsibility
Nachum L. Rabinovitch
Creator
Subject
Genre
Language
eng
Summary
This book throws new light on the origins of probability and statistics. Heretofore these were thought to be entirely the creation of recent centuries, but it is demonstrated here that probability has a much longer history, reaching back to biblical times
Member of
Action
digitized
Cataloging source
N$T
http://library.link/vocab/creatorDate
1928-2020
http://library.link/vocab/creatorName
Rabinovitch, Nachum L.
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Heritage
http://library.link/vocab/subjectName
  • Mathematics, Jewish
  • Probabilities
  • Mathematical statistics
  • Rabbinical literature
  • Probabilities
  • Probabilités
  • Statistique mathématique
  • Littérature juive
  • MATHEMATICS
  • MATHEMATICS
  • Mathematical statistics
  • Mathematics, Jewish
  • Probabilities
  • Rabbinical literature
  • Waarschijnlijkheidstheorie
  • Statistiek
  • Joodse literatuur
Label
Probability and statistical inference in ancient and medieval Jewish literature, Nachum L. Rabinovitch
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 185-200)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Cover; PREFACE; Guide to Transliterations; Introduction: Rabbinic Literature; 1 DECISIONS AND LOGIC; 1.0 Deduction and Induction; 1.1 Probability for Decision-Making; 1.2 Rabbinic Hermeneutics; 1.3 From the Particular to the General; 1.4 A Rule for Analogical Inference; 1.5 Undecidable Propositions; 2 RANDOM MECHANISMS; 2.0 Chance and Divination; 2.1 Recourse to Chance in the Bible; 2.2 Chance Mechanisms in the Talmud; 2.3 Lots for the Scapegoat; 2.4 Division of the Holy Land; 2.5 Redemption of the First Born; 2.6 Sharing the Flesh of the Sacrificial Animals
  • 2.7 Assignment of Priestly Duties: The Law of Large Numbers3 FOLLOW THE MAJORITY: A FREQUENCY INTERPRETATION; 3.0 Acceptance Rules; 3.1 Follow the Majority; 3.2 Counted and Uncounted Majorities; 3.3 Talmudic Acceptance Rules; 3.4 Approximate Frequencies; 3.5 Standard Majorities; 3.6 Half and Half; 3.7 Relevant Reference Classes; 3.8 A Frequency Interpretation; 4 ADDITION AND MULTIPLICATION OF PROBABILITIES; 4.0 Arithmetic for Acceptance Rules; 4.1 Addition; 4.2 Multiplication: Conditional Probabilities; 4.3 Multiplication: Independent Probabilities; 4.4 Axioms of Probability Theory
  • 4.5 Inverse Probabilities and Bayes's Theorem4.6 Summary; 5 LOGICAL ALTERNATIVES; 5.0 The Classical Definition of Probability; 5.1 Enumerating the Alternatives; 5.2 Combinations vs Permutations; 5.3 Ultimate Alternatives; 5.4 Are Logical Alternatives Equiprobable?; 5.5 A Propensity Interpretation of Probability; 5.6 What is 'Random'?; 5.7 Unknowability and Indeterminacy; 6 SAMPLING; 6.0 Statistical Inference; 6.1 Distribution in a Sample; 6.2 Variability in Samples; 6.3 From Sample to Population; 6.4 Mortality Rates; 6.5 Predictive Inference; 6.6 Statistical Laws of Nature; 7 PARADOXES
  • 7.0 Logical Difficulties7.1 A Paradox of Indifference; 7.2 An Acceptance Paradox; 7.3 Bertrand's Paradox; 7.4 The Lottery Paradox; 7.5 Whence Paradox?; 7.6 Shrinking Probabilities; 8 EVIDENCE AND ENTAILMENT; 8.0 Two Types of Probability; 8.1 A Comparative Concept of Evidence; 8.2 Legal Presumptions and the Problem of Induction; 8.3 A Hierarchy of Presumptions; 8.4 Evidence in other Legal Systems; 9 INDUCTION AND HYPOTHESIS; 9.0 Competing Hypotheses; 9.1 An Economy Principle; 9.2 Are the Stars Randomly Distributed?; 9.3 Falsifying Hypotheses; 9.4 A Rabbinic Principle of Maximum Likelihood
  • 9.5 The Modern Principle of Maximum Likelihood9.6 A Likelihood Ratio; 10 SUBJECTIVE PROBABILITIES; 10.0 Subjectivistic Probability; 10.1 Hunches and Intuition; 10.2 Subjective Objectivity; 10.3 Degrees of Belief; 11 COMBINATIONS AND PERMUTATIONS; 11.0 The Pure Mathematics of Probability; 11.1 Letters and Words; 11.2 Conjunctions of Planets; 11.3 A Major Branch of Mathematics; 11.4 An Application to Probability; 11.5 Combinations in Gaming; 12 THE HISTORICAL PERSPECTIVE; 12.0 Demonstration and Dialectics; 12.1 Etymology and Meaning; 12.2 Equiprobability; 12.3 Greek Combinatorial Analysis
Control code
on1085567037
Dimensions
unknown
Extent
1 online resource (xiii, 205 pages)
File format
unknown
Form of item
online
Isbn
9781487574581
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
JSTOR
http://library.link/vocab/ext/overdrive/overdriveId
22573/ctvcdd6x8
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)1085567037
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Probability and statistical inference in ancient and medieval Jewish literature, Nachum L. Rabinovitch
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 185-200)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Cover; PREFACE; Guide to Transliterations; Introduction: Rabbinic Literature; 1 DECISIONS AND LOGIC; 1.0 Deduction and Induction; 1.1 Probability for Decision-Making; 1.2 Rabbinic Hermeneutics; 1.3 From the Particular to the General; 1.4 A Rule for Analogical Inference; 1.5 Undecidable Propositions; 2 RANDOM MECHANISMS; 2.0 Chance and Divination; 2.1 Recourse to Chance in the Bible; 2.2 Chance Mechanisms in the Talmud; 2.3 Lots for the Scapegoat; 2.4 Division of the Holy Land; 2.5 Redemption of the First Born; 2.6 Sharing the Flesh of the Sacrificial Animals
  • 2.7 Assignment of Priestly Duties: The Law of Large Numbers3 FOLLOW THE MAJORITY: A FREQUENCY INTERPRETATION; 3.0 Acceptance Rules; 3.1 Follow the Majority; 3.2 Counted and Uncounted Majorities; 3.3 Talmudic Acceptance Rules; 3.4 Approximate Frequencies; 3.5 Standard Majorities; 3.6 Half and Half; 3.7 Relevant Reference Classes; 3.8 A Frequency Interpretation; 4 ADDITION AND MULTIPLICATION OF PROBABILITIES; 4.0 Arithmetic for Acceptance Rules; 4.1 Addition; 4.2 Multiplication: Conditional Probabilities; 4.3 Multiplication: Independent Probabilities; 4.4 Axioms of Probability Theory
  • 4.5 Inverse Probabilities and Bayes's Theorem4.6 Summary; 5 LOGICAL ALTERNATIVES; 5.0 The Classical Definition of Probability; 5.1 Enumerating the Alternatives; 5.2 Combinations vs Permutations; 5.3 Ultimate Alternatives; 5.4 Are Logical Alternatives Equiprobable?; 5.5 A Propensity Interpretation of Probability; 5.6 What is 'Random'?; 5.7 Unknowability and Indeterminacy; 6 SAMPLING; 6.0 Statistical Inference; 6.1 Distribution in a Sample; 6.2 Variability in Samples; 6.3 From Sample to Population; 6.4 Mortality Rates; 6.5 Predictive Inference; 6.6 Statistical Laws of Nature; 7 PARADOXES
  • 7.0 Logical Difficulties7.1 A Paradox of Indifference; 7.2 An Acceptance Paradox; 7.3 Bertrand's Paradox; 7.4 The Lottery Paradox; 7.5 Whence Paradox?; 7.6 Shrinking Probabilities; 8 EVIDENCE AND ENTAILMENT; 8.0 Two Types of Probability; 8.1 A Comparative Concept of Evidence; 8.2 Legal Presumptions and the Problem of Induction; 8.3 A Hierarchy of Presumptions; 8.4 Evidence in other Legal Systems; 9 INDUCTION AND HYPOTHESIS; 9.0 Competing Hypotheses; 9.1 An Economy Principle; 9.2 Are the Stars Randomly Distributed?; 9.3 Falsifying Hypotheses; 9.4 A Rabbinic Principle of Maximum Likelihood
  • 9.5 The Modern Principle of Maximum Likelihood9.6 A Likelihood Ratio; 10 SUBJECTIVE PROBABILITIES; 10.0 Subjectivistic Probability; 10.1 Hunches and Intuition; 10.2 Subjective Objectivity; 10.3 Degrees of Belief; 11 COMBINATIONS AND PERMUTATIONS; 11.0 The Pure Mathematics of Probability; 11.1 Letters and Words; 11.2 Conjunctions of Planets; 11.3 A Major Branch of Mathematics; 11.4 An Application to Probability; 11.5 Combinations in Gaming; 12 THE HISTORICAL PERSPECTIVE; 12.0 Demonstration and Dialectics; 12.1 Etymology and Meaning; 12.2 Equiprobability; 12.3 Greek Combinatorial Analysis
Control code
on1085567037
Dimensions
unknown
Extent
1 online resource (xiii, 205 pages)
File format
unknown
Form of item
online
Isbn
9781487574581
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
JSTOR
http://library.link/vocab/ext/overdrive/overdriveId
22573/ctvcdd6x8
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)1085567037
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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      32.771354 -117.193327
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