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Relevant bibliographies by topics / (potential) infinite divisibility

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Academic literature on the topic '(potential) infinite divisibility'

Author: Grafiati

Published: 20 April 2024

Last updated: 31 July 2025

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Journal articles on the topic "(potential) infinite divisibility"

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Ventola, Federica. "Durand of Saint Pourçain and the actual infinite. A reflection on divine omnipotence (Super Sent., I, 43, 2)." RIVISTA DI STORIA DELLA FILOSOFIA, no. 2 (July 2024): 371–86. http://dx.doi.org/10.3280/sf2024-002002.

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In his Commentary on the first Book of Sentences (d. 43, q. 2, red. B), Durand of Saint Pourçain (1270-1334) poses the question regarding the divine possibility of producing infinite actual things, contributing to the debate about the divine power of creating what is considered to be contradictory (actual infinity). Taking into account the philosophical and theological sources of Durand's Commentary on the issue, the article focuses on his accurate solution to the problem of God's production of actual infinites by analysing some arguments such as that of the production of the individuals of a

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2

Dehornoy, Patrick, and Victoria Lebed. "Two- and three-cocycles for Laver tables." Journal of Knot Theory and Its Ramifications 23, no. 04 (2014): 1450017. http://dx.doi.org/10.1142/s0218216514500175.

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We determine all 2- and 3-cocycles for Laver tables, an infinite sequence of finite structures obeying the left-self-distributivity law; in particular, we describe simple explicit bases. This provides a number of new positive braid invariants and paves the way for further potential topological applications. An important tool for constructing a combinatorially meaningful basis of 2-cocycles is the right-divisibility relation on Laver tables, which turns out to be a partial ordering.

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Ostrovsky, Dmitry. "A review of conjectured laws of total mass of Bacry–Muzy GMC measures on the interval and circle and their applications." Reviews in Mathematical Physics 30, no. 10 (2018): 1830003. http://dx.doi.org/10.1142/s0129055x18300030.

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Selberg and Morris integral probability distributions are long conjectured to be distributions of the total mass of the Bacry–Muzy Gaussian Multiplicative Chaos measures with non-random logarithmic potentials on the unit interval and circle, respectively. The construction and properties of these distributions are reviewed from three perspectives: Analytic based on several representations of the Mellin transform, asymptotic based on low intermittency expansions, and probabilistic based on the theory of Barnes beta probability distributions. In particular, positive and negative integer moments,

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4

Keçeci, Mehmet. "Keçeci Numbers and the Keçeci Prime Number: A Potential Number Theoretic Exploratory Tool." June 4, 2025. https://doi.org/10.5281/zenodo.15589625.

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<strong>Keçeci Numbers and the Keçeci Prime Number: A Potential Number Theoretic Exploratory Tool</strong>   <strong>Mehmet Keçeci<sup>1</sup></strong> <strong><sup>1</sup></strong><strong>ORCID </strong>: https://orcid.org/0000-0001-9937-9839, Türkiye   <strong>Received</strong>: 11.05.2025   <strong>Abstract:</strong>   Keçeci Numbers (first defined: July 27, 2022) constitute a unique numerical system that generates sequences based on specific initial conditions and a set of iterative rules. This system relies on a complex interplay o

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5

"Fundamental elastodynamic solutions for anisotropic media with ellipsoidal slowness surfaces." Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 440, no. 1910 (1993): 655–81. http://dx.doi.org/10.1098/rspa.1993.0039.

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When the slowness surface S of an anisotropic elastic medium consists of three concentric ellipsoids, solutions of the displacement equations of motion can be generated from functions satisfying scalar wave equations and the problem of constructing the fundamental, or Green’s, tensor G for an infinite region becomes tractable. This paper has two aims: first, to find all the conditions on the linear elastic moduli under which S is ellipsoidal (that is the union of concentric ellipsoids), and, second, to determine G for each case in which S simplifies in this way. The two stages of the investiga

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Dissertations / Theses on the topic "(potential) infinite divisibility"

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Zambiasi, Roberto. "'Minima sensibilia'. The Medieval Latin Debate (ca. 1250-ca. 1350) and Its Roots." Electronic Thesis or Diss., Université Paris sciences et lettres, 2023. http://www.theses.fr/2023UPSLP006.

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La thèse porte sur l'un des sujets les moins étudiés de la philosophie de la nature aristotélicienne latine médiévale (ca. 1250-ca. 1350), à savoir le soi-disant sujet des "minima sensibilia". Si, comme il est affirmé notamment dans "Physique" VI, les grandeurs sont infiniment divisibles en puissance, un dilemme se pose quant aux limites de divisibilité des qualités sensibles à travers la division de la matière (considérée comme une grandeur étendue) à laquelle elles sont unies. Soit les qualités sensibles sont aussi infiniment divisibles en puissance (mais cela implique que les sens doivent a

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Books on the topic "(potential) infinite divisibility"

1

Roques, Magali. Ockham on the Parts of the Continuum. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198806035.003.0006.

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This paper argues that, for Ockham, the parts of the continuum exist in act in the continuum: they are already there before any division of the continuum. Yet, they are infinitely many in that no division of the continuum will exhaust all the existing parts of the continuum taken conjointly. This reading of Ockham takes into account the crucial place of his new concept of the infinite in his analysis of the infinite divisibility of the continuum. Like many of his fellow anti-atomists, Ockham stresses that the concept of a potential infinite seems to contradict Aristotle’s modal logic, in parti

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