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  1.  25
    Set Theory INC_{∞^{#}}^{#} Based on Infinitary Intuitionistic Logic with Restricted Modus Ponens Rule (Part III).Hyper Inductive Definitions. Application in Transcendental Number Theory.Jaykov Foukzon - 2021 - Journal of Advances in Mathematics and Computer Science 36 (8):43.
    Main results are: (i) number e^{e} is transcendental; (ii) the both numbers e+π and e-π are irrational.
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  2.  41
    Set Theory INC# Based on Infinitary Intuitionistic Logic with Restricted Modus Ponens Rule (Part.II) Hyper Inductive Definitions.Jaykov Foukzon - 2021 - Journal of Advances in Mathematics and Computer Science 36 (4):22.
    In this paper intuitionistic set theory INC# in infinitary set theoretical language is considered. External induction principle in nonstandard intuitionistic arithmetic were derived. Non trivial application in number theory is considered.
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  3. Set Theory INC# Based on Intuitionistic Logic with Restricted Modus Ponens Rule (Part. I).Jaykov Foukzon - 2021 - Journal of Advances in Mathematics and Computer Science 36 (2):73-88.
    In this article Russell’s paradox and Cantor’s paradox resolved successfully using intuitionistic logic with restricted modus ponens rule.
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