Skip to main content Accessibility help
×
Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-21T18:05:25.108Z Has data issue: false hasContentIssue false

3 - Patterns

from Part One - Building up to Categories

Published online by Cambridge University Press:  13 October 2022

Eugenia Cheng
Affiliation:
School of the Art Institute of Chicago
Get access

Summary

A discussion of the role of pattern spotting in mathematics. This chapter still has little formality. The idea is that, in math and also in life, we might make abstract versions of things, then spot patterns in them or in common between different situations, and then ask if those patterns are caused by some abstract structure. We begin with some pattern spotting in number squares, and introduce the arithmetic of the 12-hour clock and look at the patterns on its addition table. We discuss patterns as analogies between situations, and discuss the relationship between visual patterns and abstract patterns, one example being the visual patterns made by multiples of 3 on a number square (or multiples of other fixed numbers). We introduce systemic power structures in society as another example of patterns caused by abstract similarities. We discuss how abstraction can help us spot patterns, with one example beingthe analysis of contentious arguments in society and politics, many of which follow a similar pattern.

Type
Chapter
Information
The Joy of Abstraction
An Exploration of Math, Category Theory, and Life
, pp. 35 - 43
Publisher: Cambridge University Press
Print publication year: 2022

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Patterns
  • Eugenia Cheng, School of the Art Institute of Chicago
  • Book: The Joy of Abstraction
  • Online publication: 13 October 2022
  • Chapter DOI: https://doi.org/10.1017/9781108769389.005
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Patterns
  • Eugenia Cheng, School of the Art Institute of Chicago
  • Book: The Joy of Abstraction
  • Online publication: 13 October 2022
  • Chapter DOI: https://doi.org/10.1017/9781108769389.005
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Patterns
  • Eugenia Cheng, School of the Art Institute of Chicago
  • Book: The Joy of Abstraction
  • Online publication: 13 October 2022
  • Chapter DOI: https://doi.org/10.1017/9781108769389.005
Available formats
×