View:

- no detail
- some detail
- full detail

## Core Cognition: Number

*Susan Carey*

### in The Origin of Concepts

- Published in print:
- 2009
- Published Online:
- September 2009
- ISBN:
- 9780195367638
- eISBN:
- 9780199867349
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195367638.003.0004
- Subject:
- Psychology, Cognitive Psychology, Developmental Psychology

This chapter lays out the evidence for two distinct systems of core cognition with numerical content—analog magnitude representations of number and parallel individuation of small sets— contrasting ... More

## Behavioral Signatures of Numerical Cognition

*Elizabeth M. Brannon, Kerry E. Jordan, and Sarah M. Jones*

### in Primate Neuroethology

- Published in print:
- 2010
- Published Online:
- February 2010
- ISBN:
- 9780195326598
- eISBN:
- 9780199864904
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195326598.003.0008
- Subject:
- Psychology, Neuropsychology, Evolutionary Psychology

The ability to represent number approximately has been documented in animals as diverse as lizards, rats, pigeons, ferrets, raccoons, dolphins, lemurs, monkeys, and apes. This chapter focuses on ... More

## Endangered Number Systems: Counting to Twenty on Your Toes

*K. David Harrison*

### in When Languages Die: The Extinction of the World's Languages and the Erosion of Human Knowledge

- Published in print:
- 2007
- Published Online:
- January 2010
- ISBN:
- 9780195181920
- eISBN:
- 9780199870622
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195181920.003.0006
- Subject:
- Linguistics, Historical Linguistics

This chapter discusses that human languages, when counting, not only have different names for the numbers but also use a wide variety of mathematical strategies. It explores unusual counting systems ... More

## Pure Mathematics

*E. Brian Davies*

### in Science in the Looking Glass: What Do Scientists Really Know?

- Published in print:
- 2007
- Published Online:
- September 2008
- ISBN:
- 9780199219186
- eISBN:
- 9780191711695
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199219186.003.0005
- Subject:
- Physics, History of Physics

This chapter seeks to demolish the myth that mathematics is uniquely free of controversy, and therefore a guaranteed source of objective and eternal knowledge. Topics discussed include the origins of ... More

## The Egyptian Number System

*Annette Imhausen*

### in Mathematics in Ancient Egypt: A Contextual History

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691117133
- eISBN:
- 9781400874309
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691117133.003.0003
- Subject:
- Mathematics, History of Mathematics

This chapter describes the ancient Egyptian number system. The system can be described in modern terminology as a decimal system without positional (place-value) notation. The basis of the number ... More

## Certain Ancient Number Systems

*Joseph Mazur*

### in Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691173375
- eISBN:
- 9781400850112
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691173375.003.0002
- Subject:
- Mathematics, History of Mathematics

This chapter discusses ancient number systems, beginning with the Babylonian system. Almost every history of early Western mathematics begins with the Babylonian conception of number, a so-called ... More

## Summary

*Annette Imhausen*

### in Mathematics in Ancient Egypt: A Contextual History

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691117133
- eISBN:
- 9781400874309
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691117133.003.0005
- Subject:
- Mathematics, History of Mathematics

This chapter summarizes key discussions in chapters 1 to 3. Writing was developed in Egypt at the end of the fourth millennium BCE. Therefore, it is not surprising to find representations of numbers ... More

## Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

*Joseph Mazur*

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691173375
- eISBN:
- 9781400850112
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691173375.001.0001
- Subject:
- Mathematics, History of Mathematics

While all of us regularly use basic mathematical symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did ... More

## The Indian Gift

*Joseph Mazur*

### in Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691173375
- eISBN:
- 9781400850112
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691173375.003.0004
- Subject:
- Mathematics, History of Mathematics

This chapter discusses the legacy of Indian mathematics. With very few archaeological clues, the origins of the Indian numbers must rely on a small wealth of writing that survives almost exclusively ... More

## Silk and Royal Roads

*Joseph Mazur*

### in Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691173375
- eISBN:
- 9781400850112
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691173375.003.0003
- Subject:
- Mathematics, History of Mathematics

This chapter discusses the important role played by the Silk and Royal roads in the spread of teaching and knowledge of philosophy, science, and mathematics during ancient times. The Silk Road was a ... More

## Uses of Numbers and Their Contexts in Predynastic and Early Dynastic Times

*Annette Imhausen*

### in Mathematics in Ancient Egypt: A Contextual History

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691117133
- eISBN:
- 9781400874309
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691117133.003.0004
- Subject:
- Mathematics, History of Mathematics

This chapter reviews evidence on the use of the ancient Egyptian number system. There have been only three types of signs used in writing a number: a vertical stroke, a horizontal stroke, and a rope. ... More

## Foundation of Mathematics

*Annette Imhausen*

### in Mathematics in Ancient Egypt: A Contextual History

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691117133
- eISBN:
- 9781400874309
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691117133.003.0011
- Subject:
- Mathematics, History of Mathematics

This chapter discusses arithmetic techniques. At the heart of a mathematical culture that develops mathematical techniques are basic arithmetical operations that allow the numerate scribe to ... More

## Arrival in Europe

*Joseph Mazur*

### in Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691173375
- eISBN:
- 9781400850112
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691173375.003.0005
- Subject:
- Mathematics, History of Mathematics

This chapter examines how our current number system reached Europe. There is a dispute over whether or not the person most responsible for introducing Hindu-Arabic numerals to Europe was Leonardo ... More

## <i>Liber Abbaci</i>

*Joseph Mazur*

### in Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691173375
- eISBN:
- 9781400850112
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691173375.003.0007
- Subject:
- Mathematics, History of Mathematics

This chapter discusses the role played by Leonardo Fibonacci's Liber abbaci in introducing modern arithmetic to the West. In the prologue of Liber abbaci, Fibonacci says he learned the nine Indian ... More

## Epistemic Limitations and Precise Estimates in Analog Magnitude Representation

*Justin Halberda*

### in Core Knowledge and Conceptual Change

- Published in print:
- 2016
- Published Online:
- August 2016
- ISBN:
- 9780190467630
- eISBN:
- 9780190611965
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780190467630.003.0010
- Subject:
- Psychology, Cognitive Psychology

This chapter presents a re-understanding of the contents of our analog magnitude representations (e.g., approximate duration, distance, number). The approximate number system (ANS) is considered, ... More

## The Arab Gift

*Joseph Mazur*

### in Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691173375
- eISBN:
- 9781400850112
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691173375.003.0006
- Subject:
- Mathematics, History of Mathematics

This chapter focuses on the Arabs' contributions to the modern number system. It first considers the role played by Abu Jafar Muhammad ibn Musa al-Khwārizmī, the greatest Arab mathematician of his ... More

## Further Aspects of Mathematics from New Kingdom Sources

*Annette Imhausen*

### in Mathematics in Ancient Egypt: A Contextual History

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691117133
- eISBN:
- 9781400874309
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691117133.003.0016
- Subject:
- Mathematics, History of Mathematics

This chapter proposes the following scenario: mathematics not only played a huge role within the education and work life of a scribe, but it also held an important role within ancient Egyptian ... More

## Concepts of Colour and Limits of Understanding

*Barry Stroud*

### in Seeing, Knowing, Understanding: Philosophical Essays

- Published in print:
- 2018
- Published Online:
- July 2018
- ISBN:
- 9780198809753
- eISBN:
- 9780191859205
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198809753.003.0016
- Subject:
- Philosophy, Metaphysics/Epistemology, Philosophy of Mind

This chapter examines some puzzling reflections by Ludwig Wittgenstein on the possibility of understanding concepts of the colours of things different from those already familiar to us. It begins ... More

View:

- no detail
- some detail
- full detail