In his 1887's Mitteilungen zur Lehre von Transfiniten, Cantor seeks to prove inconsistency of infinitesimals. We provide a detailed analysis of his argument from both historical and mathematical perspective. We show that while his historical analysis are questionable, the mathematical part of the argument is false.
 P. Błaszczyk, Nota o rozprawie Otto Höldera "Die Axiome der Quantität und die Lehre vom Mass", Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, vol. 5 (2013), pp. 129–144.
 P. Błaszczyk, A purely algebraic proof of the fundamental theorem of algebra. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, vol. 8 (2016), pp. 5–21.
 P. Błaszczyk, J. Major, Calculus without the concept of limit. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, vol. 4, (2014) pp. 19–38.
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