Results 221 to 230 of about 61,767 (263)

Paradox and Potential Infinity

Journal of Philosophical Logic, 2011
The article describes some models for systems of predicative arithmetic inside intuitionistic set theory to show the crucial behaviours of potentially infinite sets in the foundational literature back to Aristotle. A discussion of the strictly related Church's thesis concludes the paper.
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Mathematical system of potential infinities (I) – preparation

Kybernetes, 2008
PurposeAims to focus on the co‐existence of potential and actual infinities in modern mathematics and its theoretical foundation. It has been shown that not only the whole system of modern mathematics but also the subsystems directly dealing with infinities have permitted the co‐existence of these two kinds of infinities.Design/methodology/approachThe ...
Wujia Zhu, Yi Lin, Guoping Du, Ningsheng Gong   +3 more
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Electrostatic potential map modelling with COSY Infinity

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 2016
Abstract COSY Infinity (Makino and Berz, 2005) is a differential-algebra based simulation code which allows accurate calculation of transfer maps to arbitrary order. COSY’s existing internal procedures were modified to allow electrostatic elements to be specified using an array of field potential data from the midplane.
J.A. Maloney, R. Baartman, T. Planche, S. Saminathan   +3 more
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Escape to infinity in a Newtonian potential

Journal of Physics A: Mathematical and General, 2000
The authors take into consideration the Newton potential \(\ddot u=-\nabla V(u)\) where \(u(x,y,z)\) and \(V(u)\) denotes a finite or infinite superposition of terms of the type \(\|u-u_i\|^{-1}\) and the attracting masses \(m_i,\) situated at the points \(u_i,\) are assumed stationary in their reference frame.
Gascon, F. G., Peralta-Salas, D.
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Descriptive definitions of potential and actual infinities

Kybernetes, 2008
PurposeThe paper's purpose is to analyze the concepts of potential and actual infinities.Design/methodology/approachThe exploration and research on potential and actual infinities generally touch on many disciplines, such as philosophy, logic, computer science, mathematics, etc.
Zhu, Wujia, Lin, Yi, Gong, Ningsheng, Du, Guoping   +3 more
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Potential Infinity as the Paradigmatic Core of Postmodernism

Contemporary Philosophical Research, 2023
Aim. To clarify the prospects for the development of European philosophy in connection with the postmodern rejection of modernity, classics in general. To show that behind this postmodern negative gesture the assertion of the problem of actual infinity lies.Methodology.
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Smoothing Property for Schrödinger Equations¶with Potential Superquadratic at Infinity

Communications in Mathematical Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yajima, Kenji, Zhang, Guoping
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Actual and Potential Infinities

2016
Historically, the most popular theory of the impossible infinite is the one handed down by Aristotle: that infinity can only be potential, never actual.1 What does this mean? Here are two helpful remarks from Aristotle’s discussion of the infinite: A quantity is infinite if it is such that we can always take a part outside what has already been taken.
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On bifurcation from infinity for S1-equivariant potential operators

Nonlinear Analysis: Theory, Methods & Applications, 1998
The author [same journal 23, 83-102 (1994; Zbl 0815.58027) and Topol. Methods Nonlinear Analysis 9, 383-417 (1997; Zbl 0891.55003)] established a degree theory for \(S^1\)-equivariant orthogonal maps. His aim in this article is to improve Rabinowitz' alternative (which was based on classical degree theory) by using a more powerful degree theory.
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The Logic of Potential Infinity

Philosophia Mathematica
Abstract Michael Dummett argues that acceptance of potentially infinite collections requires that we abandon classical logic and restrict ourselves to intuitionistic logic. In this paper we examine whether Dummett is correct. After developing two detailed accounts of what, exactly, it means for a concept to be potentially infinite (based
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