Infinite Ascent

Infinite Ascent
Title Infinite Ascent PDF eBook
Author David Berlinski
Publisher Modern Library
Pages 226
Release 2011-08-17
Genre Mathematics
ISBN 0307778177

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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
Title Truth and the World PDF eBook
Author Jonathan Tallant
Publisher Routledge
Pages 224
Release 2017-10-16
Genre Philosophy
ISBN 1351388509

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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.

The Collected Works of Samuel Taylor Coleridge, Volume 15

The Collected Works of Samuel Taylor Coleridge, Volume 15
Title The Collected Works of Samuel Taylor Coleridge, Volume 15 PDF eBook
Author Samuel Taylor Coleridge
Publisher Princeton University Press
Pages 660
Release 2020-07-14
Genre Literary Criticism
ISBN 0691203164

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The Opus Maximum gathers the last major body of unpublished prose writings by Samuel Taylor Coleridge. Consisting primarily of fragments dictated to Joseph Henry Green, probably between 1819 and 1823, these writings represent all that exists of what Coleridge considered to be "the principal Labour" and "the great Object" of his life, which he called variously the Logosophia and Magnum Opus. Dedicated to "the reconcilement of the moral faith with the Reason," Coleridge's envisioned Magnum Opus was supposed to "reduce all knowledges into harmony." While such a synthesis finally eluded him, and the Magnum Opus remained unfinished, the surviving fragments nonetheless bear powerful witness to Coleridge's engagement with theology, moral philosophy, natural philosophy, and logic, among other disciplines. Among the subjects that will particularly interest readers are Coleridge's criticisms of Epicureanism, pantheism, and German Naturphilosophie; his attempt to ground reason in faith; and his reflections on personhood (especially in the relationship between mother and child), on will, on language, and on the Logos. Previously unknown to all but a handful of scholars, the manuscripts presented here provide valuable insight into a crucial period of Coleridge's intellectual development, as he became increasingly dissatisfied with Naturphilosophie and struggled to affirm Trinitarian Christianity on a rational basis. With this volume, The Collected Works of Samuel Taylor Coleridge, begun forty years ago under the sponsorship of the Bollingen Foundation and the editorship of the late Kathleen Coburn, is now complete.

Platonic theology

Platonic theology
Title Platonic theology PDF eBook
Author Marsilio Ficino
Publisher Harvard University Press
Pages 374
Release 2001
Genre Immortality
ISBN 9780674003453

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The American Mathematical Monthly

The American Mathematical Monthly
Title The American Mathematical Monthly PDF eBook
Author
Publisher
Pages 600
Release 1918
Genre Electronic journals
ISBN

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Includes section "Recent publications."

The Non-Existence of the Real World

The Non-Existence of the Real World
Title The Non-Existence of the Real World PDF eBook
Author Jan Westerhoff
Publisher Oxford University Press
Pages 352
Release 2020-04-23
Genre Philosophy
ISBN 0192587188

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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
Title Nietzsche's Philosophy PDF eBook
Author Eugen Fink
Publisher A&C Black
Pages 196
Release 2003-01-02
Genre Philosophy
ISBN 9780826459978

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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.