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Encounters with Infinity

Encounters with Infinity
Author: Michael Van Laanen
Publisher: Trafford Publishing
Total Pages: 262
Release: 2002-02
Genre: Mathematics
ISBN: 1553692144

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The original title of this manuscript was Pages - A Voyage to Infinity. It's kinda like Walt Whitman's Leaves of Grass; a collection of poems with an underlying mystical theme. My dissertation is a kaleidoscope puzzle of images and thoughts and concepts and ideas taken from mysticism, science, logic, and mathematics. The end result, as the puzzle pieces are linked together, is a new portrait of Number. The reader is challenged to solve a conceptual picture puzzle using the chaotic scattering of puzzle pieces set forth in the thesis. Some of the pieces challenge established ideas. Some of the pieces are decoys leading to dead ends. Some are background. Others are transition pieces. And, there are pieces that give the reader glimpses of me, the writ er of this thesis. So, exact ly what is infinit y? As the pieces of the puzzle are put together a new concept of infinity emerges, a concept that may be of interest to the mystics, the philosopher, the quantum physicist, and mathematicians who are open to a new window through which to view reality.


Naming Infinity

Naming Infinity
Author: Loren Graham
Publisher: Harvard University Press
Total Pages: 252
Release: 2009-03-31
Genre: Science
ISBN: 0674053915

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In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.


Infinity

Infinity
Author: Ian Stewart
Publisher: Oxford University Press
Total Pages: 161
Release: 2017
Genre: Mathematics
ISBN: 0198755236

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Ian Stewart considers the concept of infinity and the profound role it plays in mathematics, logic, physics, cosmology, and philosophy. He shows that working with infinity is not just an abstract, intellectual exercise, and analyses its important practical everyday applications.


Encounters with Infinity

Encounters with Infinity
Author: Michael Van Laanen
Publisher: New Age Books
Total Pages: 310
Release: 2004
Genre: Infinite
ISBN: 9788178221854

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Formless Infinity

Formless Infinity
Author: Riccardo Lombardi
Publisher: Routledge
Total Pages: 238
Release: 2015-07-16
Genre: Psychology
ISBN: 1317395123

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In contemporary psychoanalysis, a key concept and aim of clinical practice is to distinguish the boundaries of any mental state. Without this boundary-setting, the patient has nothing but the 'formless infinite' of primitive mental states. Formless Infinity: Clinical Explorations of Matte Blanco and Bion draws on the work of these two authors to explore how analysts can work with patients to reveal, understand and ultimately contain their primitive mental states. Riccardo Lombardi discusses the core concepts of the unconscious, the role of the body in analysis, time and death. He displays the clinical implications of Matte Blanco’s theoretical extension of Freud’s theory of the unconscious, presenting numerous clinical examples of working with psychosis and other severe pathologies. Formless Infinity, a stimulating teaching text for students, trainers and seasoned mental health practitioners, is essential reading for psychoanalysts and psychoanalytic psychotherapists. It is particularly recommended to analysts interested in widening the scope of the analytic practice by exploring the functioning of the deep unconscious, primitive mental states, psychosomatic pathologies and psychotic conditions.


Count to Infinity

Count to Infinity
Author: John C. Wright
Publisher: Tor Books
Total Pages: 335
Release: 2017-12-26
Genre: Fiction
ISBN: 0765381605

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"A novel of the Eschaton sequence"--Cover.


Philosophical Perspectives on Infinity

Philosophical Perspectives on Infinity
Author: Graham Oppy
Publisher: Cambridge University Press
Total Pages: 285
Release: 2006-04-03
Genre: Philosophy
ISBN: 1139455117

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This book is an exploration of philosophical questions about infinity. Graham Oppy examines how the infinite lurks everywhere, both in science and in our ordinary thoughts about the world. He also analyses the many puzzles and paradoxes that follow in the train of the infinite. Even simple notions, such as counting, adding and maximising present serious difficulties. Other topics examined include the nature of space and time, infinities in physical science, infinities in theories of probability and decision, the nature of part/whole relations, mathematical theories of the infinite, and infinite regression and principles of sufficient reason.


A Brief History of Infinity

A Brief History of Infinity
Author: Paolo Zellini
Publisher: Penguin Global
Total Pages: 212
Release: 2005
Genre: Mathematics
ISBN:

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In A Brief History of Infinity, the infinite in all its forms - viewed from the perspective of mathematicians, philosophers, and theologians - is explored, as Zellini strives to explain this fundamental principle. What is the difference between trueand false infinity? How might we explain away the puzzle of Zeno's paradox? And how is the concept of infinity helping us as we wrestle with the fundamental uncertainties of the quantum world? Paolo Zellini shows that the concept of the infinite is a multifaceted one, and eloquently demonstrates the manner in which humanity has attempted to comprehend that concept for millenia.


Fictions of Infinity

Fictions of Infinity
Author: Martin Riedelsheimer
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 256
Release: 2020-10-12
Genre: Literary Criticism
ISBN: 3110712407

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This study traces the connection of infinity and Levinasian ethics in 21st-century fiction. It tackles the paradox of how infinity can be (re-)presented in the finite space between the covers of a book and finds an answer that combines conceptual metaphor theory with concepts from classical narratology and beyond, such as mise en abyme, textual circularity, intertextuality or omniscient narration. It argues that texts with such structures may be conceptualised as infinite via Lakoff and Núñez’s Basic Metaphor of Infinity. The catachrestic transfer of infinity from structure to text means that the texts themselves are understood to be infinite. Taking its cue from the central role of the infinite in Emmanuel Levinas’s ethics, the function of such ‘fictions of infinity’ turns out to be ethical: infinite textuality disrupts reading patterns and calls into question the reader’s spontaneity to interpret. This hypothesis is put to the test in detailed readings of four 21st-century novels, David Mitchell’s Cloud Atlas, Jeanette Winterson’s The Stone Gods, Ian McEwan’s Saturday and John Banville’s The Infinities. This book thus combines ethical criticism with structural aesthetics to uncover ethical potential in fiction.


Infinity and the Mind

Infinity and the Mind
Author: Rudy Rucker
Publisher: Bantam Books
Total Pages: 379
Release: 1983-01-01
Genre: Philosophy
ISBN: 5885010897

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The book contains popular expositions (accessible to readers with no more than a high school mathematics background) on the mathematical theory of infinity, and a number of related topics. These include G?del's incompleteness theorems and their relationship to concepts of artificial intelligence and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with Kurt G?del.An appendix contains one of the few popular expositions on set theory research on what are known as "strong axioms of infinity."