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Actual Infinity: Spinoza’s Substance Monism as a Reply to Aristotle’s Physics
Southwest Philosophy Review, 2023I conceive of Spinoza’s substance monism as a response to Aristotle’s prohibition against actual infinity for one key reason: nature, being all things, is necessarily infi nite. Spinoza encapsulates his substance monism with the phrase, “Deus sive Natura,” implying that there is only one infinite substance, which also possesses an infi nity of ...
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Wide‐range co‐existence of potential and actual infinities in modern mathematics
Kybernetes, 2008PurposeThe paper aims to introduce the concepts of potential and actual infinities.Design/methodology/approachA conceptual approach is taken.FindingsIt is a common belief that both Cantor and Zermelo completely employed the thinking logic of actual infinities in the naive and modern axiomatic set theory, and that Cauchy and Weierstrass completely ...
Wujia Zhu +3 more
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Actual Infinity and Newton’s Calculus
1991In developing and presenting the algorithms of his calculus Newton used two systems of concepts — the fluxional and the infinitesimal systems. He declared that these were merely presentational means, and when he goes over to the justification of the algorithms they are not mentioned anymore and in their place he uses the conceptual system of limits or “
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Cantor’s Transfinite Numbers and Traditional Objections to Actual Infinity
The Thomist: A Speculative Quarterly Review, 2000La premiere partie de cet article propose un survol de la theorie des nombres transfinis de Georg Cantor, l'un des plus eminents mathematiciens de la fin du XIXe, debut du XXe siecle, en mettant l'accent surtout sur sa revendication que les nombres transfinis possedent un infini objectif, reel, et pas seulement potentiel.
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The roles of visualization and symbolism in the potential and actual infinity of the limit process
Educational Studies in Mathematics, 2014A teaching experiment—using Mathematica to investigate the convergence of sequence of functions visually as a sequence of objects (graphs) converging onto a fixed object (the graph of the limit function)—is here used to analyze how the approach can support the dynamic blending of visual and symbolic representations that has the potential to lead to the
Ivy Kidron, David Tall
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Aristotle against Actual Infinity Regress
2021Thought experiments by ancient philosophers are often open to debate: in what sense did their reasoning really concern thought experimentation? For instance, in Plato’s Republic, Glaucon uses the myth of Gyges to demonstrate why people who practice justice do so unwillingly.
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Convergence and the Cauchy Property of Sequences in the Setting of Actual Infinity
PRIMUS, 2013Traditional definitions, language, and visualizations of convergence and the Cauchy property of sequences convey a sense of the sequence as a potentially infinite process rather than an actually infinite object. This has a deep-rooted influence on how we think about and teach concepts on sequences, particularly in undergraduate calculus and analysis ...
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Engaging an infinity in actuality: exposing political space in the authority of experience itself
Journal of Political Power, 2013In this short response piece, I use the distinction, following Claude Lefort, between the political (le politique) and politics (la politique) to frame an evaluation of the retreating of the concept of authority as presented in this special edition.
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ELEMENTARY INFINITY—THE THIRD TYPE OF INFINITY BESIDES POTENTIAL INFINITY AND ACTUAL INFINITY
Computational Intelligence, 2010WUJIA ZHU, NINGSHENG GONG, GUOPING DU
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Actual Infinity, Freedom and Modern Theology
Труды кафедры богословия Санкт-Петербургской Духовной Академии, 2023openaire +1 more source