B 2020

Jacob Bernoulli: Umění odhadu (část čtvrtá, pojednávající o aplikaci předchozího učení v záležitostech občanských, mravních a ekonomických) [český překlad a komentáře]

DURNOVÁ, Helena, Jana MALÁ and Pavel ŠIŠMA

Basic information

Original name

Jacob Bernoulli: Umění odhadu (část čtvrtá, pojednávající o aplikaci předchozího učení v záležitostech občanských, mravních a ekonomických) [český překlad a komentáře]

Name (in English)

Jacob Bernoulli: The Art of Conjecturing (Part Four) [Czech translation with commentary]

Authors

DURNOVÁ, Helena (203 Czech Republic, guarantor, belonging to the institution), Jana MALÁ (203 Czech Republic, belonging to the institution) and Pavel ŠIŠMA (203 Czech Republic, belonging to the institution)

Edition

Praha - Brno, 133 pp. Fontes scientiae, sv. 4, 2020

Publisher

Togga - Masarykova univerzita

Other information

Language

Czech

Type of outcome

Odborná kniha

Field of Study

60101 History

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

printed version "print"

RIV identification code

RIV/00216224:14410/20:00115418

Organization unit

Faculty of Education

ISBN

978-80-210-9559-5

Keywords in English

Jacob Bernoulli; law of large numbers

Tags

Reviewed
Změněno: 7/4/2021 19:01, Mgr. Helena Durnová, Ph.D.

Abstract

V originále

In this volume, we present a Czech translation of a seminal work in probability theory and statistics, namely Part IV of Jacob Bernoulli’s Art of Conjecturing (Ars Conjectandi). It was in this piece that Jacob Bernoulli arrived at what is now known as the law of large numbers. It is this result that underlies all the conclusions based on observation and statistics. Bernoulli’s journey to this result began with (Part I of e Art of Conjecturing) the study of games of chance and (Part II) combinatorics. In Part III of his treatise, he concentrated on the fairness or lack thereof in specific games of chance. In Part IV, he suggested the possibility of using the previous results in civic, moral, and economic matters. However, even though he suspected his work was more valuable than a rule for squaring the circle would have been, he could not bring his work to a state which he would find fit for publishing for more than a decade and it was eventually only published eight years after his death. Jacob Bernoulli’s text is quite lucid in itself, but in order to give the reader some idea about the starting points of Bernoulli’s thoughts, an introduction to the text is included. In the introduction, a brief history of probability theory is sketched as well as the history of the two major sources of Bernoulli’s thoughts: games of chance and combinatorics.

In English

In this volume, we present a Czech translation of a seminal work in probability theory and statistics, namely Part IV of Jacob Bernoulli’s Art of Conjecturing (Ars Conjectandi). It was in this piece that Jacob Bernoulli arrived at what is now known as the law of large numbers. It is this result that underlies all the conclusions based on observation and statistics. Bernoulli’s journey to this result began with (Part I of e Art of Conjecturing) the study of games of chance and (Part II) combinatorics. In Part III of his treatise, he concentrated on the fairness or lack thereof in specific games of chance. In Part IV, he suggested the possibility of using the previous results in civic, moral, and economic matters. However, even though he suspected his work was more valuable than a rule for squaring the circle would have been, he could not bring his work to a state which he would find fit for publishing for more than a decade and it was eventually only published eight years after his death. Jacob Bernoulli’s text is quite lucid in itself, but in order to give the reader some idea about the starting points of Bernoulli’s thoughts, an introduction to the text is included. In the introduction, a brief history of probability theory is sketched as well as the history of the two major sources of Bernoulli’s thoughts: games of chance and combinatorics.

Links

MUNI/G/0835/2016, interní kód MU
Name: Prameny novověké vědy (Acronym: PRNOVE)
Investor: Masaryk University, INTERDISCIPLINARY - Interdisciplinary research projects