Show Summary Details

Page of

PRINTED FROM OXFORD HANDBOOKS ONLINE ( © Oxford University Press, 2018. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a title in Oxford Handbooks Online for personal use (for details see Privacy Policy and Legal Notice).

date: 08 March 2021

Abstract and Keywords

George Spencer Brown is a British mathematician and logician, whose book Laws of Form (1969) tackles the very foundation of development of knowledge. An abstract and bold ‘calculus of indications’, Laws of Form was even praised by Bertrand Russell. It presents a calculus that seeks to clarify the laws governing the formation of forms. This chapter examines Spencer Brown’s form calculus and its implications for the study of organizations. After providing an overview of mathematics as a cognition theory, it describes some basic main points of Spencer Brown’s form calculus and its implications for process philosophy. It then discusses the two ‘arithmetic axioms’ developed by Spencer Brown in Laws of Form: the law of calling and the law of crossing. Finally, it shows how the calculus can help elucidate self-reference and paradoxes.

Keywords: George Spencer Brown, Laws of Form, form calculus, forms, mathematics, process philosophy, law of calling, law of crossing, self-reference, paradoxes

Access to the complete content on Oxford Handbooks Online requires a subscription or purchase. Public users are able to search the site and view the abstracts and keywords for each book and chapter without a subscription.

Please subscribe or login to access full text content.

If you have purchased a print title that contains an access token, please see the token for information about how to register your code.

For questions on access or troubleshooting, please check our FAQs, and if you can''t find the answer there, please contact us.