Paper Info
Title
Sumterms, Summands, Sumtuples, And Sums And The Meta-Arithmetic Of Summation
Abstract
Sumterms are introduced as syntactic entities, and sumtuples are introduced as semantic entities. Equipped with these concepts a new description is obtained of the notion of a sum as (the name for) a role which can be played by a number. Sumterm splitting operators are introduced and it is argued that without further precautions the presence of these operators gives rise to an instance of the so-called sum splitting paradox. A survey of solutions to the sum splitting paradox is given.
Year
DOI
Venue
2020
10.7561/SACS.2020.2.167
SCIENTIFIC ANNALS OF COMPUTER SCIENCE
Keywords
DocType
Volume
Sumterms, sumtuples, splitting paradox.
Journal
30
Issue
ISSN
Citations 
2
1843-8121
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Jan A. Bergstra11946240.42