Full-text resources of CEJSH and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

Results found: 1

first rewind previous Page / 1 next fast forward last

Search results

Search:
in the keywords:  MORRISON
help Sort By:

help Limit search:
first rewind previous Page / 1 next fast forward last
1

MATHEMATICAL MODELS AS ABSTRACTIONS

100%
Zámečník L.
Organon F. medzinárodný časopis pre analytickú filozofiu
|
2018
|
vol. 25
|
issue 2
244 - 264
EN
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.
first rewind previous Page / 1 next fast forward last
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.