Infinite Ascent

Infinite Ascent PDF Author: David Berlinski
Publisher: Modern Library
ISBN: 0307778177
Category : Mathematics
Languages : en
Pages : 226

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Book Description
In Infinite Ascent, David Berlinski, the acclaimed author of The Advent of the Algorithm, A Tour of the Calculus, and Newton’s Gift, tells the story of mathematics, bringing to life with wit, elegance, and deep insight a 2,500-year-long intellectual adventure. Berlinski focuses on the ten most important breakthroughs in mathematical history–and the men behind them. Here are Pythagoras, intoxicated by the mystical significance of numbers; Euclid, who gave the world the very idea of a proof; Leibniz and Newton, co-discoverers of the calculus; Cantor, master of the infinite; and Gödel, who in one magnificent proof placed everything in doubt. The elaboration of mathematical knowledge has meant nothing less than the unfolding of human consciousness itself. With his unmatched ability to make abstract ideas concrete and approachable, Berlinski both tells an engrossing tale and introduces us to the full power of what surely ranks as one of the greatest of all human endeavors.

Infinite Ascent

Infinite Ascent PDF Author: David Berlinski
Publisher: Modern Library
ISBN: 0307778177
Category : Mathematics
Languages : en
Pages : 226

Get Book Here

Book Description
In Infinite Ascent, David Berlinski, the acclaimed author of The Advent of the Algorithm, A Tour of the Calculus, and Newton’s Gift, tells the story of mathematics, bringing to life with wit, elegance, and deep insight a 2,500-year-long intellectual adventure. Berlinski focuses on the ten most important breakthroughs in mathematical history–and the men behind them. Here are Pythagoras, intoxicated by the mystical significance of numbers; Euclid, who gave the world the very idea of a proof; Leibniz and Newton, co-discoverers of the calculus; Cantor, master of the infinite; and Gödel, who in one magnificent proof placed everything in doubt. The elaboration of mathematical knowledge has meant nothing less than the unfolding of human consciousness itself. With his unmatched ability to make abstract ideas concrete and approachable, Berlinski both tells an engrossing tale and introduces us to the full power of what surely ranks as one of the greatest of all human endeavors.

Truth and the World

Truth and the World PDF Author: Jonathan Tallant
Publisher: Routledge
ISBN: 1351388509
Category : Philosophy
Languages : en
Pages : 224

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Book Description
How do we explain the truth of true propositions? Truthmaker theory is the branch of metaphysics that explores the relationships between what is true and what exists. It plays an important role in contemporary debates about the nature of metaphysics and metaphysical enquiry. In this book Jonathan Tallant argues, controversially, that we should reject truthmaker theory. In its place he argues for an 'explanationist' approach. Drawing on a deflationary theory of truth he shows that it allows us to explain the truth of true propositions and respond to recent arguments that purport to show otherwise. He augments this with a distinction between internally and externally quantified claims: externally quantified claims are claims that quantify over elements of our ontology that play an indispensable explanatory role; internally quantified claims do not. He deploys this union of deflationism and a distinction between kinds of quantification to pursue metaphysical inquiry, sketching the implications for a number of first-order debates, including those in the philosophy of time, modality and mathematics, and also shows how this explanationist model can be used to solve the key problems that afflicted truthmaker theory. Truth and the World is an important contribution to debates about truth and truthmaker theory as well as metametaphysics, the metaphysics of time and the metaphysics of mathematics, and is essential reading for students and scholars engaged in the study of these topics.

Platonic theology

Platonic theology PDF Author: Marsilio Ficino
Publisher: Harvard University Press
ISBN: 9780674003453
Category : Immortality
Languages : en
Pages : 374

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Book Description


The American Mathematical Monthly

The American Mathematical Monthly PDF Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 600

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Book Description
Includes section "Recent publications."

The Non-Existence of the Real World

The Non-Existence of the Real World PDF Author: Jan Westerhoff
Publisher: Oxford University Press
ISBN: 0192587188
Category : Philosophy
Languages : en
Pages : 352

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Book Description
Does the real world, defined as a world of objects that exist independent of human interests, concerns, and cognitive activities, really exist? Jan Westerhoff argues that we have good reason to believe it does not. His discussion considers four main facets of the idea of the real world, ranging from the existence of a separate external and internal world (comprising various mental states congregated around a self), to the existence of an ontological foundation that grounds the existence of all the entities in the world, and the existence of an ultimately true theory that provides a final account of all there is. As Westerhoff discusses the reasons for rejecting the postulation of an external world behind our representations, he asserts that the internal world is not as epistemically transparent as is usually assumed, and that there are good reasons for adopting an anti-foundational account of ontological dependence. Drawing on conclusions from the ancient Indian philosophical system of Madhyamaka Buddhism, Westerhoff defends his stance in a purely Western philosophical framework, and affirms that ontology, and philosophy more generally, need not be conceived as providing an ultimately true theory of the world.

Nietzsche's Philosophy

Nietzsche's Philosophy PDF Author: Eugen Fink
Publisher: A&C Black
ISBN: 9780826459978
Category : Philosophy
Languages : en
Pages : 196

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Book Description
Nietzsche's Philosophy traces the passionate development of Nietzsche's thought from the aestheticism of The Birth of Tragedy through to the late doctrines of the "will to power" and "eternal return".Inspired by the phenomenological method of Edmund Husserl and by the work of Martin Heidegger, Fink exposes the central themes of Nietzsche's philosophy, revealing the philosopher who experiences thinking as a fate and who ultimately searches for an expression of his own ontological experience in a negative theology.

Nonlinear and Convex Analysis

Nonlinear and Convex Analysis PDF Author: Bor-Luh Lin
Publisher: CRC Press
ISBN: 1000942325
Category : Mathematics
Languages : en
Pages : 340

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Book Description
This book contains expanded versions of the talks given at the conference held in honour of professor Ky Fan in California in 1985, as well as papers on nonlinear and convex analysis as contributions to Ky Fan. It also includes a list of publications by Ky Fan.

The Infinity of God

The Infinity of God PDF Author: Benedikt Paul Göcke
Publisher: University of Notre Dame Pess
ISBN: 0268104166
Category : Philosophy
Languages : en
Pages : 572

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Book Description
Two questions regarding contemporary theological and philosophical studies are often overlooked: “Is God infinite or finite?” and, “What does it mean to say that God is infinite?” In The Infinity of God, Benedikt Paul Göcke and Christian Tapp bring together prominent scholars to discuss God’s infinitude from philosophical and theological perspectives. Each contributor deals with a particular aspect of the infinity of God, employing the methods of analytic theology and analytic philosophy. The essays in the first section examine historical issues from a systematic point of view. The contributors focus on the Cappadocian Fathers, Thomas Aquinas, Leibniz, Kant, Hegel, Bolzano, and Cantor. The second section deals with particular issues concerning the relation between God's infinity and both the finitude of the world and the classical attributes of God: eternity, simplicity, omnipresence, omnipotence, omniscience, and moral perfection. There are some books that deal with the notion of infinity in mathematics and in general philosophy, but no single text brings together the best analytic philosophers and theologians tackling the various aspects of the infinity of God and the correlated problems. This book will interest students and scholars in philosophy of religion, theology, and metaphysics. Contributors: Benedikt Paul Göcke, Christian Tapp, Franz Krainer, Adam Drosdek, William E. Carroll, Christina Schneider, Ruben Schneider, Robert M. Wallace, Bruce A. Hedman, Bernhard Lang, Richard Swinburne, Kenneth L. Pearce, William Hasker, Paul Helm, Brian Leftow, Ken Perszyk, Thomas Schärtl, and Philip Clayton.

Kepler’s New Star (1604)

Kepler’s New Star (1604) PDF Author:
Publisher: BRILL
ISBN: 9004437274
Category : Science
Languages : en
Pages : 309

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Book Description
By examining the pressing questions the supernova of 1604 prompted, Kepler’s New Star traces the enduring impact of Kepler and his star on the course of modern science.

Boundless Innocence in Thomas Traherne's Poetic Theology

Boundless Innocence in Thomas Traherne's Poetic Theology PDF Author: Dr Elizabeth Sarah Dodd
Publisher: Ashgate Publishing, Ltd.
ISBN: 1472453972
Category : Religion
Languages : en
Pages : 257

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Book Description
The seventeenth-century poet and divine Thomas Traherne finds innocence in every stage of existence. Boundless Innocence in Thomas Traherne’s Poetic Theology traces innocence through Traherne’s works as it transgresses the boundaries of the estates of the soul. Recovering and reinterpreting a key but increasingly neglected theme in Traherne’s poetic theology, this book addresses fundamental misconceptions of the meaning of innocence in his work. Through a contextual and theological approach, it indicates the unexplored richness, complexity and diversity of this theme in the history of literature and theology.