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Saturday, January 18, 2020

[ PDF ] The Unlimited Infinite: Exploring the Philosophy of Mathematics Now



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Date : 2005-06-15

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Infinite Internet Encyclopedia of Philosophy ~ Since then there has been a struggle to understand how to use the notion of infinity in a coherent manner This article concerns the significant and controversial role that the concepts of infinity and the infinite play in the disciplines of philosophy physical science and mathematics

INFINITY IN THEOLOGY AND MATHEMATICS Mathematics Department ~ But mathematics shows that while we may not be able to encompass the infinite — we cannot actually pass through all the numbers in an infinite series — we can still grasp the infinite and by finite means Mathematical concepts like addition can be applied to both finite and infinite collections

Dispute over Infinity Divides Mathematicians Scientific ~ From Quanta Find original story here In the course of exploring their universe mathematicians have occasionally stumbled across holes statements that can be neither proved nor refuted with the nine axioms collectively called “ZFC” that serve as the fundamental laws of mathematics

philosophy of mathematics How can numbers be infinite ~ Infinite infinitely divisible continuum is clearly an idealization regardless of ones philosophy so there can be no evidence for it beyond it being a convenient model Kant showed what happens when mental constructs are ascribed to things in themselves

Infinity philosophy Wikipedia ~ In philosophy and theology infinity is explored in articles under headings such as the Ultimate the Absolute God and Zenos paradoxes In Greek philosophy for example in Anaximander the Boundless is the origin of all that is He took the beginning or first principle to be an endless unlimited primordial mass ἄπειρον apeiron

Infinity mathematics Britannica ~ Infinity the concept of something that is unlimited endless without bound The common symbol for infinity ∞ was invented by the English mathematician John Wallis in 1657 Three main types of infinity may be distinguished the mathematical the physical and the metaphysical Mathematical

Nicholas of Cusa and the Infinite True Nature ~ ABSTRACT Nicholas of Cusa 140164 was a philosopher and theologian whose writings influenced the development of Renaissance mathematics and science The first part of this paper will trace the historical development in the West of thought about the Infinite prior to the time of Nicholas of Cusa

Francesco Maurolico Wikipedia ~ Francesco Maurolico was a mathematician and astronomer from Sicily Born to a Greek family and immersed in the study of classical Greek texts throughout his lifetime he made contributions to the fields of geometry optics conics mechanics music and astronomy He edited the works of classical authors including Archimedes Apollonius Autolycus Theodosius and Serenus He also composed his own unique treatises on mathematics and mathematical science


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