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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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