Mathematical Models as Abstractions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15210%2F18%3A73592275" target="_blank" >RIV/61989592:15210/18:73592275 - isvavai.cz</a>

Result on the web

<a href="http://www.klemens.sav.sk/fiusav/doc/organon/2018/2/244-264.pdf" target="_blank" >http://www.klemens.sav.sk/fiusav/doc/organon/2018/2/244-264.pdf</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Mathematical Models as Abstractions

Original language description

The paper concerns a contemporary problem emerging in philosophy of science about the explanatory status of mathematical models as abstractions. The starting point lies in the analysis of Morrison’s discrimination of models as idealizations and models as abstractions. There abstraction has a special status because its non-realistic nature (e.g. an infinite number of particles, an infinite structure of fractal etc.) is the very reason for its explanatory success and usefulness. The paper presents two new examples of mathematical models as abstractions – the fractal invariant of phase space transformations in the dynamic systems theory and infinite sets in the formal grammar and automata theory. The author is convinced about the indispensability of mathematical models as abstraction, but somehow disagrees with the interpretation of its explanatory power.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

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OECD FORD branch

60301 - Philosophy, History and Philosophy of science and technology

Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Organon F

ISSN

1335-0668

e-ISSN

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Volume of the periodical

25

Issue of the periodical within the volume

2

Country of publishing house

SK - SLOVAKIA

Number of pages

21

Pages from-to

244-264

UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-85048444134