- Full text PDF available (27)
- This year (3)
- Last 5 years (13)
- Last 10 years (21)
Journals and Conferences
We prove, in ZFC, the existence of a definable, countably saturated elementary extension of the reals.
We prove: Theorem 1. Let κ be an uncountable cardinal. Every κ-Suslin graph G on reals satisfies one of the following two requirements: (I) G admits a (κ+ 1)-Borel colouring by ordinals below κ; (II)… (More)
Wedemonstrate that a comprehensive nonstandard set theory can be developed in the standard ∈-language. As an illustration, a nonstandard Law of Large Numbers is obtained.
We prove that orbit equivalence relations (ERs, for brevity) of generically turbulent Polish actions are not Borel reducible to ERs of a family which includes Polish actions of S∞, the group of all… (More)
The aim of this paper is to demonstrate that several non–rigorous methods of mathematical reasoning in the field of divergent series, mostly related to the Euler and Hutton transforms, may be… (More)
T he theories as developed by European mathematicians prior to 1870 differed from the modern ones in that none of them used the modern theory of limits. Fermat develops what is sometimes called a… (More)
The ABCs of the History of Infinitesimal Mathematics The ABCs of the history of infinitesimal mathematics are in need of clarification. To what extent does the famous dictum “history is always… (More)