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Ancient Greek Mathematics: A Role for Diagrams

José Ferreirós

in Mathematical Knowledge and the Interplay of Practices

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691167510
eISBN:
9781400874002
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691167510.003.0005
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter focuses on the ancient Greek tradition of geometrical proof in light of recent studies by Kenneth Manders and others. It advances the view that the borderline of elementary mathematics ... More


Advanced Math: The Hypothetical Conception

José Ferreirós

in Mathematical Knowledge and the Interplay of Practices

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691167510
eISBN:
9781400874002
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691167510.003.0006
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter proposes the idea that advanced mathematics is based on hypotheses—that far from being a priori, it is based on hypothetical assumptions. The concept of quasi-empiricism is often linked ... More


Mathematical Knowledge and the Interplay of Practices

José Ferreirós

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691167510
eISBN:
9781400874002
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691167510.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction ... More


On Knowledge and Practices: A Manifesto

José Ferreirós

in Mathematical Knowledge and the Interplay of Practices

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691167510
eISBN:
9781400874002
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691167510.003.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This book proposes a novel analysis of mathematical knowledge from a practice-oriented standpoint and within the context of the philosophy of mathematics. The approach it is advocating is a ... More


Error Detection and Correction using SET®

Gary Gordon and Elizabeth McMahon

in The Mathematics of Various Entertaining Subjects: Research in Recreational Math

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691164038
eISBN:
9781400881338
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691164038.003.0014
Subject:
Mathematics, History of Mathematics

This chapter considers two fundamental questions for detecting and correcting errors made while playing the card game SET®. The game is played with a special deck of eighty-one cards, and the ... More


The Mathematics of Statistics

Theodore M. Porter

in The Rise of Statistical Thinking, 1820-1900

Published in print:
2020
Published Online:
January 2021
ISBN:
9780691208428
eISBN:
9780691210520
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691208428.003.0009
Subject:
History, History of Science, Technology, and Medicine

This chapter looks at how the application of error theory and of probability models to social statistics was pursued with growing success in Germany during the last third of the nineteenth century. ... More


Conclusion

Theodore M. Porter

in The Rise of Statistical Thinking, 1820-1900

Published in print:
2020
Published Online:
January 2021
ISBN:
9780691208428
eISBN:
9780691210520
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691208428.003.0011
Subject:
History, History of Science, Technology, and Medicine

This concluding chapter addresses how statistics has assumed the trappings of a modern academic discipline primarily during the last half century. The intellectual character of statistics had been ... More


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