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Busting a myth about Leśniewski and definitions

Rafal Urbaniak UGent and K Severi Hämäri (2012) HISTORY AND PHILOSOPHY OF LOGIC. 33(2). p.159-189
abstract
A theory of definitions which places the eliminability and conservativeness requirements on definitions is usually called the standard theory. We examine a persistent myth which credits this theory to Lesniewski, a Polish logician. After a brief survey of its origins, we show that the myth is highly dubious. First, no place in Lesniewski's published or unpublished work is known where the standard conditions are discussed. Second, Lesniewski's own logical theories allow for creative definitions. Third, Lesniewski's celebrated 'rules of definition' lay merely syntactical restrictions on the form of definitions: they do not provide definitions with such meta-theoretical requirements as eliminability or conservativeness. On the positive side, we point out that among the Polish logicians, in the 1920s and 1930s, a study of these meta-theoretical conditions is more readily found in the works of Lukasiewicz and Ajdukiewicz.
Please use this url to cite or link to this publication:
author
organization
alternative title
Busting a myth about Lesniewski and definitions
year
type
journalArticle (original)
publication status
published
subject
keyword
definitions, Lesniewski, conservativeness of definitions, Ajdukiewicz, creativity of definitions, PRINCIPIA, SYSTEM, FREGE
journal title
HISTORY AND PHILOSOPHY OF LOGIC
Hist. Philos. Log.
volume
33
issue
2
pages
159 - 189
Web of Science type
Article
Web of Science id
000303562700003
JCR category
HISTORY & PHILOSOPHY OF SCIENCE
JCR impact factor
0.222 (2012)
JCR rank
44/58 (2012)
JCR quartile
4 (2012)
ISSN
0144-5340
DOI
10.1080/01445340.2011.583771
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
3148393
handle
http://hdl.handle.net/1854/LU-3148393
date created
2013-02-27 11:37:22
date last changed
2016-12-19 15:43:45
@article{3148393,
  abstract     = {A theory of definitions which places the eliminability and conservativeness requirements on definitions is usually called the standard theory. We examine a persistent myth which credits this theory to Lesniewski, a Polish logician. After a brief survey of its origins, we show that the myth is highly dubious. First, no place in Lesniewski's published or unpublished work is known where the standard conditions are discussed. Second, Lesniewski's own logical theories allow for creative definitions. Third, Lesniewski's celebrated 'rules of definition' lay merely syntactical restrictions on the form of definitions: they do not provide definitions with such meta-theoretical requirements as eliminability or conservativeness. On the positive side, we point out that among the Polish logicians, in the 1920s and 1930s, a study of these meta-theoretical conditions is more readily found in the works of Lukasiewicz and Ajdukiewicz.},
  author       = {Urbaniak, Rafal and H{\"a}m{\"a}ri, K Severi},
  issn         = {0144-5340},
  journal      = {HISTORY AND PHILOSOPHY OF LOGIC},
  keyword      = {definitions,Lesniewski,conservativeness of definitions,Ajdukiewicz,creativity of definitions,PRINCIPIA,SYSTEM,FREGE},
  language     = {eng},
  number       = {2},
  pages        = {159--189},
  title        = {Busting a myth about Le\'{s}niewski and definitions},
  url          = {http://dx.doi.org/10.1080/01445340.2011.583771},
  volume       = {33},
  year         = {2012},
}

Chicago
Urbaniak, Rafal, and K Severi Hämäri. 2012. “Busting a Myth About Leśniewski and Definitions.” History and Philosophy of Logic 33 (2): 159–189.
APA
Urbaniak, R., & Hämäri, K. S. (2012). Busting a myth about Leśniewski and definitions. HISTORY AND PHILOSOPHY OF LOGIC, 33(2), 159–189.
Vancouver
1.
Urbaniak R, Hämäri KS. Busting a myth about Leśniewski and definitions. HISTORY AND PHILOSOPHY OF LOGIC. 2012;33(2):159–89.
MLA
Urbaniak, Rafal, and K Severi Hämäri. “Busting a Myth About Leśniewski and Definitions.” HISTORY AND PHILOSOPHY OF LOGIC 33.2 (2012): 159–189. Print.