Peano on Symbolization, Design Principles for Notations, and the Dot Notation
The work
| Authors | Dirk Schlimm |
|---|---|
| Editors | |
| Type | article |
| Year | 2021 |
| Citekey | schlimm2021peano |
Where it appeared
| Published in | Philosophia Scientiae |
|---|---|
| Publisher | OpenEdition |
| Volume | 25-1 |
| Pages | 95--126 |
Identifiers
| DOI | 10.4000/philosophiascientiae.2840 |
|---|---|
| ISSN | 1281-2463 |
Access
| Landing page | https://doi.org/10.4000/philosophiascientiae.2840 |
|---|
Related
| Distinct from | peano1889arithmetices The notation and a study of it. peano1889arithmetices is the 1889 original the corpus holds in Latin; this is Schlimm's account of how Peano arrived at his symbols and why the dot notation was designed as it was. Held together the set has the source and the analysis, which is unusual here -- the-axioms-before-peano otherwise requires original texts. |
|---|
Abstract
Peano was one of the driving forces behind the development of the current mathematical formalism. In this paper, we study his particular approach to notational design and present some original features of his notations. To explain the motivations underlying Peano’s approach, we first present his view of logic as a method of analysis and his desire for a rigorous and concise symbolism to represent mathematical ideas. On the basis of both his practice and his explicit reflections on notations, we discuss the principles that guided Peano’s introduction of new symbols, the choice of characters, and the layout of formulas. Finally, we take a closer look, from a systematic and historical perspective, at one of Peano’s most striking innovations, his use of dots for the grouping of subformulas.
A copy is held
pdf, 300.6 kB. Not published — it may be under copyright. The facts and links here are.
How it got here
| How it got here | agent via crossref |
|---|---|
| Added | 2026-09-03 16:14 UTC |
| Approved by | a person 2026-09-03 17:29 UTC |
Filed under
Cite it as
@article{schlimm2021peano,
title = {Peano on Symbolization, Design Principles for Notations, and the Dot Notation},
author = {Dirk Schlimm},
year = {2021},
journal = {Philosophia Scientiae},
publisher = {OpenEdition},
volume = {25-1},
pages = {95--126},
issn = {1281-2463},
doi = {10.4000/philosophiascientiae.2840},
}
This record lives at https://refs.drheap.org/schlimm2021peano/ and will keep doing so.