Some non-standard interpretations of the axiomatic basis of Lesniewski's Ontology

被引:0
|
作者
Urbaniak, Rafal [1 ]
机构
[1] Univ Calgary, Dept Philosophy, Calgary, AB T2N 1N4, Canada
关键词
D O I
暂无
中图分类号
B81 [逻辑学(论理学)];
学科分类号
010104 ; 010105 ;
摘要
We propose an intuitive understanding of the statement: 'an axiom (or: an axiomatic basis) determines the meaning of the only specific constant occurring in it.' We introduce some basic semantics for functors of the category s/n,n of Lesniewski's Ontology. Using these results we prove that the popular claim that the axioms of Ontology determine the meaning of the primitive constants is false.
引用
收藏
页码:13 / 46
页数:34
相关论文
共 50 条
  • [1] Basis for binary comparisons and non-standard probabilities
    Saari, Donald G.
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2016, 374 (2058):
  • [2] Some non-standard quasivarieties of lattices
    Lutsak, S. M.
    Basheyeva, A. O.
    Asanbekov, A. M.
    Voronina, O. A.
    [J]. BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2023, 111 (03): : 72 - 80
  • [3] On some essential subsystems of Lesniewski's Ontology and the equivalence between the singular Barbara and the law of Leibniz in ontology
    Waragai, T
    [J]. LVOV-WARSAW SCHOOL AND CONTEMPORARY PHILOSOPHY, 1998, 273 : 169 - 180
  • [4] METHOD OF CONSTRUCTING A NON-STANDARD MODEL OF BERNICE GEDELS AXIOMATIC THEORY OF SETS
    VOPENKA, P
    [J]. DOKLADY AKADEMII NAUK SSSR, 1962, 143 (01): : 11 - &
  • [5] Some aspects of non-standard multivariate analysis
    Battey, H. S.
    Cox, D. R.
    [J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2022, 188
  • [6] Membrane computing: Some non-standard ideas
    Paun, G
    [J]. ASPECTS OF MOLECULAR COMPUTING: ESSAYS DEDICATED TO TOM HEAD ON THE OCCASION OF HIS 70TH BIRTHDAY, 2004, 2950 : 322 - 337
  • [7] On Some Non-Standard Problems in Linear Thermoelasticity
    Chirita, S.
    [J]. JOURNAL OF THERMAL STRESSES, 2009, 32 (12) : 1256 - 1269
  • [8] Some non-standard problems in viscous flow
    Payne, LE
    Schaefer, PW
    Song, JC
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2004, 27 (17) : 2045 - 2053
  • [9] Developing an Arabic Infectious Disease Ontology to Include Non-Standard Terminology
    Alsudias, Lama
    Rayson, Paul
    [J]. PROCEEDINGS OF THE 12TH INTERNATIONAL CONFERENCE ON LANGUAGE RESOURCES AND EVALUATION (LREC 2020), 2020, : 4842 - 4850
  • [10] The Monotonic Sequence Theorem and Measurement of Lengths and Areas in Axiomatic Non-Standard Hyperrational Analysis
    Lovyagin, Yuri N.
    Lovyagin, Nikita Yu
    [J]. AXIOMS, 2019, 8 (02)