TAXONOMY OF PARTS AND ITS LOGICAL PRINCIPLES IN MEREOLOGY
Description
Problem setting. One of the complex and controversial theoretical issues is the
meteorological division and construction of the taxonomy of parts. After all, humanitarian
and social subjects, due to their own specifics related to their existence, need other grounds
for distribution. Thus, the study of the taxonomy of parts and its logical principles in
meteorology will help to deepen the understanding of the specifics of the humanities and
social sciences and the development of the logical basis of the methodology of the
humanities.
Recent research and publications analysis. Analysis of sources of origin, modern
theoretical works on meteorology indicate unresolved issues regarding the taxonomy of
parts, the possibility of involving mathematical set theory, doubts about the stability of the
principles of part ratio, the problem of identity and more.
Paper objective. The purpose of the study is to consider the problem of division of the
whole into parts and the principles of construction of the taxonomy of parts, the reasons
for their stability or doubt in meteorology.
Paper main body. Mereological structure consists of a whole and parts. Parts can be
constituent elements, components, ingredients, portions, aspects, parties, members, etc.
Parts can be considered in the abstract (as a part in relation to any whole) or in relation
(taking into account the function, ie as a component of the whole). Parts can be concrete
or abstract. When analyzing the types of parts, there may be a problem of identity. The order
of the parts, their distribution and relationship are determined by reflexivity, transitivity and
antisymmetry. All three principles – reflexivity, transitivity and antisymmetry, together with
taxonomy appear as the theoretical basis of classical meteorology. Conversely, in nonclassical
meteorology, arguments are developed regarding doubts about the stability of these
principles. Additional principles are the principles of composition and decomposition.
Extensional mereology demonstrates its limitations in relation to living objects.
Conclusions of the research. The article analyzes the types of parts, the principles of
their relationship, doubts about the stability of these principles and their assessment of the
identity of parts and the whole. In our opinion, this opens the possibility of further
distinguishing between extensional mereology and meteorological approach in hermeneutic
logic, which determines the further success of building an authentic logic of humanitarian
and social cognition.
Files
YURKEVYCH O. M. стр. 11-24.pdf
Files
(346.4 kB)
Name | Size | Download all |
---|---|---|
md5:1b022c3c3cc960c4e18188d851648303
|
346.4 kB | Preview Download |
Additional details
References
- Aristotel. (2008). Metafizika / Aristotel. Politika. Metafizika. Analitika. per. s drevnegrech. Moskva: Jeksmo; Sankt-Peterburg: Midgard. S. 163–390 [in Russian].
- Armstrong, D. M. (2011). Universalii. Samouverennoe vvedenie. Per. s angl. Moskva : Kanon+ROOI. 240 s. [in Russian].
- Kulieshchov, O. V. (2012). Klasychna mereologiya: dosyahnennya i problemy. Humanitarnyi visnyk CHDTU. Seriya: Filosofski nauki, T. 1, Vyp. 2, 23–34 [in Ukrainian]
- Lesnevskij, S. (1999). Ob osnovanijah matematiki (glava 9). Filosofija i logika L'vovsko-Varshavskoi shkoly. Moskva: ROOSSPJEN. URL: http://diakonia.narod.ru/ lib/fil_i_log.htm [in Russian].
- Yurkevych, O. M. (2012). Praktychna logika iurystiv: mereologichnyi pigkhid. Filosofiya prava i zagalna teoriya prava, 1, 234–243 [in Ukrainian].
- Yurkevych, O. M. (2019). Kompleksnyi kharakter logiky v iurydychnii metodologii. Visnyk Natsionalnogo iurydychnogo universytetu imeni Yaroslava Mudrogo. Seriya: Filosofiya, 1 (40), 39–49 [in Ukrainian].
- Barnes, E., Williams, J. R. G. (2009). Vague parts and vague identity. Pacific Philosophical Quarterly, 90, 176–187.
- Betti, A. (2013). Leśniewski, Tarski and the axioms of mereology. Wolenski Festsschrift, 242–258.
- Bochman, A. (1990). Mereology as a theory of part-whole. Logique et Analyse. Nouvelleserie, Vol. 33, No. 129/130, 75–101.
- Brown, J. D. K. (2016). Natural objects. Journal of the American Philosophical Association, Vol. 2, Iss. 2, 254–271.
- Donnelly, M. (2009). Mereological vagueness and existential vsgueness. Synthese, Vol. 168, No. 1, 53–79.
- Goodman, G. (2014). Matter and mereology. Manuscript. NYU, 8, 1–20.
- Hamkins, J. D., Kikuchi, M. (2016). Set-theoretic mereology. Logic and Logic Philosophy, 25 (3), 285–308.
- Leonard, H. S. (1956). The logic of existence. Philosophical studies (Minneapolis), 7, 49–64.
- Lewis, D. K. (1991). Parts of Classes. Oxford. Wilay-Blackwell. 155 p.
- Mereology. Stanford Enciclopedia of Philosophy. URL: https://plato.stanford.edu/ entries/mereology.
- Simons, P. (1987). Parts: a study in ontology. Oxford: Clarendon Press.
- Thomson, J. (1983). Parthood and identity across time. Journal of Philosophy, 80, 201–220.
- Winston, M. E., Chaffin, R., Herrmann, D. (1987). A taxonomy of part-whole relations. Cognitive science. Multidisciplinary Journal, 11 (4), 417–444.
- Wolters, L. (2019). Are the statue and the clay mutual parts? Noûs, Vol. 53, Iss. 1, 23–50.