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Kant's Turn: Between Actual and Potential Infinity
Дискурс, 2023 Introduction. The purpose of the article is to show that Kant's turn is the answer to the problem of actual infinity, in the light of which it becomes clear how Immanuel Kant contributed to the turn of Western epistemology to non-classics.
M. I. Philatova
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Actual and Potential Infinity [PDF]
Noûs, 2017 AbstractThe notion of potential infinity dominated in mathematical thinking about infinity from Aristotle until Cantor. The coherence and philosophical importance of the notion are defended. Particular attention is paid to the question of whether potential infinity is compatible with classical logic or requires a weaker logic, perhaps intuitionistic.
Linnebo, Øystein, Shapiro, Stewart
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Potential Infinity, Abstraction Principles and Arithmetic (Leśniewski Style) [PDF]
Axioms, 2016 This paper starts with an explanation of how the logicist research program can be approached within the framework of Leśniewski’s systems. One nice feature of the system is that Hume’s Principle is derivable in it from an explicit definition of natural ...
Rafal Urbaniak
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Remarks on a Class of Nonlinear Schrödinger Equations with Potential Vanishing at Infinity [PDF]
Discrete Dynamics in Nature and Society, 2013 We study the following nonlinear Schrödinger equation −Δu+V(x)u=K(x)f(u), x∈ℝN, u∈H1(ℝN), where the potential V(x) vanishes at infinity. Working in weighted Sobolev space, we obtain the ground states of problem (𝒫) under a Nahari type condition ...
Hongbo Zhu
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Дискурс, 2023 Introduction. The purpose of the paper is to show the prospects of the problem of actual infinity for understanding the ways of New European classical epistemology. The relevance of the work is due to the need to fill a gap in the history of New European
M. I. Philatova
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Kalam cosmological argument [PDF]
Filozofija i Društvo, 2011 In this paper it will be presented polemics about kalam cosmological argument developed in medieval islamic theology and philosophy. Main moments of that polemics was presented for a centuries earlier in Philoponus criticism of Aristotle’s thesis that
Đurić Drago
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On Critical Fractional p&q-Laplacian Equations with Potential Vanishing at Infinity
Fractal and Fractional, 2022 The goal of the present paper is to investigate the critical Schrödinger-type fractional p&q-Laplacian problems. By employing the mountain pass theorem, we prove the existence and asymptotic property of nontrivial solutions for the problem.
Li Wang, Qiaocheng Zhong, Rui Niu
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The gradient flow of infinity-harmonic potentials
Advances in Mathematics, 2021 We study the streamlines of $\infty$-harmonic functions in planar convex rings. We include convex polygons. The points where streamlines can meet are characterized: they lie on certain curves. The gradient has constant norm along streamlines outside the set of meeting points, the infinity-ridge.
Lindgren, Erik, Lindqvist, Peter
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Membranes, 2022 Lab-scale anoxic/oxic membrane bioreactor (A/O-MBR) and oxic membrane bioreactor (O-MBR) systems using a submerged polysulfone hollow-fiber membrane module with a pore size of 0.01 μm and a total surface area of 1.50 m2 were used to treat domestic ...
Sornsiri Sriboonnak +8 more
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Omega Position – a specific phase of perceiving the notion of infinity
Scientia in Educatione, 2015 This article describes a specific phase of the ontogenetic development of understanding infinity, called the omega position, the identification of which is one of the results of extensive research focusing on the perception of the infinity notion. Some 1
Jiří Cihlář +2 more
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