The Error of Truth: How History and Mathematics Came Together to Form Our Character and Shape Our Worldview

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An historical account of how we came to measure uncertainty in our everyday lives. Quantitative thinking is our inclination to view natural and everyday phenomena through a lens of measurable events, with forecasts, odds, predictions, and likelihood playing a dominant part. The Error of Truth recounts the astonishing and unexpected tale of how quantitative thinking came to be, and its rise to primacy in the nineteenth and early twentieth centuries. Additionally, it considers how seeing the world through a quantitative lens has shaped our perception of the world we live in, and explores the lives of the individuals behind its early establishment. This worldview was unlike anything humankind had before, and it came about because of a momentous human achievement: we had learned how to measure uncertainty. Probability as a science was conceptualised. As a result of probability theory, we now had correlations, reliable predictions, regressions, the bellshaped curve for studying social phenomena, and the psychometrics of educational testing. Significantly, these developments happened during a relatively short period in world history— roughly, the 130-year period from 1790 to 1920, from about the close of the Napoleonic era, through the Enlightenment and the Industrial Revolutions, to the end of World War I. At which time, transportation had advanced rapidly, due to the invention of the steam engine, and literacy rates had increased exponentially. This brief period in time was ready for fresh intellectual activity, and it gave a kind of impetus for the probability inventions. Quantification is now everywhere in our daily lives, such as in the ubiquitous microchip in smartphones, cars, and appliances; in the Bayesian logic of artificial intelligence, as well as applications in business, engineering, medicine, economics, and elsewhere. Probability is the foundation of quantitative thinking. The Error of Truth tells its story— when, why, and how it happened.

Author(s): Steven J. Osterlind
Publisher: Oxford University Press
Year: 2019

Language: English
Pages: 352
Tags: History, Mathetics, Quantitative Thinking

The Error of Truth How History and Mathematics Came Together to Form Our Character and Shape Our Worldview......Page 4
Copyright......Page 5
Dedication......Page 6
Acknowledgments......Page 8
Contents......Page 10
Epigraph......Page 12
Chapter 1: The Remarkable Story......Page 14
Chapter 2: The Context......Page 28
Chapter 3: Beginning in Observation......Page 36
Chapter 4: The Patterns of Large Numbers......Page 56
Chapter 5: The Bell Curve Takes Shape......Page 80
Chapter 6: Evidence and Probability Data......Page 96
Chapter 7: At Least Squares......Page 114
Chapter 8: Coming to Everyman......Page 132
Chapter 9: Probably a Distribution......Page 156
Chapter 10: Average Man......Page 176
Chapter 11: Rare Events......Page 194
Chapter 12: Regression to the Mean......Page 216
Chapter 13: Interrelated and Correlated......Page 240
Chapter 14: Discrepancy to Variability......Page 258
Chapter 15: Related to Relativity......Page 278
Chapter 16: Psychometrics and Psychological Tests......Page 298
Chapter 17: The Arts and the Age of the Chip......Page 316
Chapter 18: The Sum of It All......Page 330
Bibliography......Page 338
Index......Page 350