Functions, Transformations, and Groups

Saunders Mac Lane
Additional contact information
Saunders Mac Lane: University of Chicago, Department of Mathematics

Chapter Chapter V in Mathematics Form and Function, 1986, pp 123-149 from Springer

Abstract: Abstract Firm formal definitions come first in any systematic foundation of Mathematics. Hitherto, however, we have not formally defined the notion “function”, although we have used the notion extensively and consider it central to the organization of Mathematics. This delay was deliberate, since it has allowed the assembly of part of that wide variety of examples from which arises the general and abstract notion of function. Though some may hold that “abstract notions are difficult to understand” we hold with G. Kreisel that these notions “in fact, are usually introduced to make concrete situations intelligible” (Math Reviews 37 (1969) # 1224).

Keywords: Normal Subgroup; Finite Group; Simple Group; Cyclic Group; Symmetric Group (search for similar items in EconPapers)
Date: 1986
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-4872-9_6

Ordering information: This item can be ordered from
http://www.springer.com/9781461248729

DOI: 10.1007/978-1-4612-4872-9_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().