Skala, Heinz J. Modelling vagueness. (English) Zbl 0537.03037 Fuzzy information and decision processes, 101-109 (1982). [For the entire collection see Zbl 0496.00019.] In this paper the author endeavours to give a critical appreciation of various notions of vagueness in mathematics. He points out that the means of nonstandard formal finiteness (*finiteness) may be more adequate for catching of the notions ”large” and ”small” than the means of fuzzy set theory. I appreciate the author’s endeavour at giving an intuitive interpretation of results and approaches which are usually absent in ”serious” papers. The reading of the paper helps the open-minded reader to understand that any effort for the mathematisation of vague notions is no desecration of mathematics. Reviewer: K.Čuda Cited in 2 Reviews MSC: 03E72 Theory of fuzzy sets, etc. 03H99 Nonstandard models 91B99 Mathematical economics 03E70 Nonclassical and second-order set theories 03H10 Other applications of nonstandard models (economics, physics, etc.) Keywords:vague concepts; aggregation procedures; large economics; Alternative Set Theory; vagueness; finiteness; fuzzy set Citations:Zbl 0496.00019 PDFBibTeX XML