Probability and opinion: A Study in the Medieval Presuppositions of Post-Medieval Theories of Probability
Modern physics has accustomed us to consider events which cannot give rise to certainty in our knowledge. A scientific knowledge of such events is nevertheless possible. The method which has enabled us to obtain a stable and exact knowledge about uncertain events consists in a kind of changing of plane and in the replacing of the study of indi­ vidual phenomena by the study of statistical aggregates to which those phenomena can give rise. A statistical aggregate is not a collection of real phenomena, among which some would happen more often, others more rarely. It is a set of possibilities relative to a certain object or to a certain type of phenomenon. For example, we could consider the differ­ ent ways in which a die, thrown in given conditions, can fall: they are the possible results of a certain trial, the casting of the die (in the fore­ seen conditions). The set of those results constitutes effectively a set of possibilities, relative to a phenomenon of a certain type, the fall of the die in specified circumstances. Similarly, it is possible to consider the different velocities which can affect a molecule in a volume of gas; the set of those velocities constitutes effectively a set of possible values which a physical property, namely the velocity of a molecule, can have.
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Probability and opinion: A Study in the Medieval Presuppositions of Post-Medieval Theories of Probability
Modern physics has accustomed us to consider events which cannot give rise to certainty in our knowledge. A scientific knowledge of such events is nevertheless possible. The method which has enabled us to obtain a stable and exact knowledge about uncertain events consists in a kind of changing of plane and in the replacing of the study of indi­ vidual phenomena by the study of statistical aggregates to which those phenomena can give rise. A statistical aggregate is not a collection of real phenomena, among which some would happen more often, others more rarely. It is a set of possibilities relative to a certain object or to a certain type of phenomenon. For example, we could consider the differ­ ent ways in which a die, thrown in given conditions, can fall: they are the possible results of a certain trial, the casting of the die (in the fore­ seen conditions). The set of those results constitutes effectively a set of possibilities, relative to a phenomenon of a certain type, the fall of the die in specified circumstances. Similarly, it is possible to consider the different velocities which can affect a molecule in a volume of gas; the set of those velocities constitutes effectively a set of possible values which a physical property, namely the velocity of a molecule, can have.
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Probability and opinion: A Study in the Medieval Presuppositions of Post-Medieval Theories of Probability

Probability and opinion: A Study in the Medieval Presuppositions of Post-Medieval Theories of Probability

by Edmund F. Byrne
Probability and opinion: A Study in the Medieval Presuppositions of Post-Medieval Theories of Probability

Probability and opinion: A Study in the Medieval Presuppositions of Post-Medieval Theories of Probability

by Edmund F. Byrne

Paperback(1968)

$99.99 
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Overview

Modern physics has accustomed us to consider events which cannot give rise to certainty in our knowledge. A scientific knowledge of such events is nevertheless possible. The method which has enabled us to obtain a stable and exact knowledge about uncertain events consists in a kind of changing of plane and in the replacing of the study of indi­ vidual phenomena by the study of statistical aggregates to which those phenomena can give rise. A statistical aggregate is not a collection of real phenomena, among which some would happen more often, others more rarely. It is a set of possibilities relative to a certain object or to a certain type of phenomenon. For example, we could consider the differ­ ent ways in which a die, thrown in given conditions, can fall: they are the possible results of a certain trial, the casting of the die (in the fore­ seen conditions). The set of those results constitutes effectively a set of possibilities, relative to a phenomenon of a certain type, the fall of the die in specified circumstances. Similarly, it is possible to consider the different velocities which can affect a molecule in a volume of gas; the set of those velocities constitutes effectively a set of possible values which a physical property, namely the velocity of a molecule, can have.

Product Details

ISBN-13: 9789401502955
Publisher: Springer Netherlands
Publication date: 01/01/1968
Edition description: 1968
Pages: 334
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

one Modern Notions of Probability.- I: Some Modern Views on Probability.- Two A Medieval Notion of Probability.- II: Opinion, Error, and Human Imperfection.- III: Tradition as a Source of Opinion and Probability.- IV: Probability in Disputation and Demonstration.- V: The Quasi-Mathematics of Truth: Semper and Some of the Time.- VI: Thomas’s Theocentric Perspective on Probability.- Conclusion: On the Historical Dimension of “Probability”.- Selected Bibliography.
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