Elements of Intuitionism

Elements of Intuitionism PDF Author: Michael Dummett
Publisher: Oxford University Press
ISBN: 9780198505242
Category : Mathematics
Languages : en
Pages : 350

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Book Description
This is a long-awaited new edition of one of the best known Oxford Logic Guides. The book gives an informal but thorough introduction to intuitionistic mathematics, leading the reader gently through the fundamental mathematical and philosophical concepts. The treatment of various topics has been completely revised for this second edition. Brouwer's proof of the Bar Theorem has been reworked, the account of valuation systems simplified, and the treatment of generalized Beth Trees and the completeness of intuitionistic first-order logic rewritten. Readers are assumed to have some knowledge of classical formal logic and a general awareness of the history of intuitionism.

Elements of Intuitionism

Elements of Intuitionism PDF Author: Michael Dummett
Publisher: Oxford University Press
ISBN: 9780198505242
Category : Mathematics
Languages : en
Pages : 350

Get Book Here

Book Description
This is a long-awaited new edition of one of the best known Oxford Logic Guides. The book gives an informal but thorough introduction to intuitionistic mathematics, leading the reader gently through the fundamental mathematical and philosophical concepts. The treatment of various topics has been completely revised for this second edition. Brouwer's proof of the Bar Theorem has been reworked, the account of valuation systems simplified, and the treatment of generalized Beth Trees and the completeness of intuitionistic first-order logic rewritten. Readers are assumed to have some knowledge of classical formal logic and a general awareness of the history of intuitionism.

Phenomenology, Logic, and the Philosophy of Mathematics

Phenomenology, Logic, and the Philosophy of Mathematics PDF Author: Richard L. Tieszen
Publisher: Cambridge University Press
ISBN: 0521837820
Category : Mathematics
Languages : en
Pages : 369

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Book Description
In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.

The Belief in Intuition

The Belief in Intuition PDF Author: Adriana Alfaro Altamirano
Publisher: University of Pennsylvania Press
ISBN: 0812252934
Category : Philosophy
Languages : en
Pages : 240

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Book Description
Within the Western tradition, it was the philosophers Henri Bergson and Max Scheler who laid out and explored the nonrational power of "intuition" at work in human beings that plays a key role in orienting their thinking and action within the world. As author Adriana Alfaro Altamirano notes, Bergon's and Scheler's philosophical explorations, which paralleled similar developments by other modernist writers, artists, and political actors of the early twentieth century, can yield fruitful insights into the ideas and passions that animate politics in our own time. The Belief in Intuition shows that intuition (as Bergson and Scheler understood it) leads, first and foremost, to a conception of freedom that is especially suited for dealing with hierarchy, uncertainty, and alterity. Such a conception of freedom is grounded in a sense of individuality that remains true to its "inner multiplicity," thus providing a distinct contrast to and critique of the liberal notion of the self. Focusing on the complex inner lives that drive human action, as Bergson and Scheler did, leads us to appreciate the moral and empirical limits of liberal devices that mean to regulate our actions "from the outside." Such devices, like the law, may not only carry pernicious effects for freedom but, more troublingly, oftentimes "erase their traces," concealing the very ways in which they are detrimental to a richer experience of subjectivity. According to Alfaro Altamirano, Bergson's and Scheler's conception of intuition and personal authority puts contemporary discussions about populism in a different light: It shows that liberalism would only at its own peril deny the anthropological, moral, and political importance of the bearers of charismatic authority. Personal authority thus understood relies on a dense, but elusive, notion of personality, for which personal authority is not only consistent with freedom, but even contributes to it in decisive ways.

The Intuitionist

The Intuitionist PDF Author: Colson Whitehead
Publisher: Anchor
ISBN: 0307819965
Category : Fiction
Languages : en
Pages : 273

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Book Description
This debut novel by the two time Pulitzer Prize-winning author of The Underground Railroad and The Nickel Boys wowed critics and readers everywhere and marked the debut of an important American writer. Nominated as one of America’s best-loved novels by PBS’s The Great American Read. It is a time of calamity in a major metropolitan city's Department of Elevator Inspectors, and Lila Mae Watson, the first black female elevator inspector in the history of the department, is at the center of it. There are two warring factions within the department: the Empiricists, who work by the book and dutifully check for striations on the winch cable and such; and the Intuitionists, who are simply able to enter the elevator cab in question, meditate, and intuit any defects. Lila Mae is an Intuitionist and, it just so happens, has the highest accuracy rate in the entire department. But when an elevator in a new city building goes into total freefall on Lila Mae's watch, chaos ensues. It's an election year in the Elevator Guild, and the good-old-boy Empiricists would love nothing more than to assign the blame to an Intuitionist. But Lila Mae is never wrong. The sudden appearance of excerpts from the lost notebooks of Intuitionism's founder, James Fulton, has also caused quite a stir. The notebooks describe Fulton's work on the "black box," a perfect elevator that could reinvent the city as radically as the first passenger elevator did when patented by Elisha Otis in the nineteenth century. When Lila Mae goes underground to investigate the crash, she becomes involved in the search for the portions of the notebooks that are still missing and uncovers a secret that will change her life forever. Look for Colson Whitehead’s new novel, Crook Manifesto, coming soon!

Empiricism, Logic and Mathematics

Empiricism, Logic and Mathematics PDF Author: Hans Hahn
Publisher: Springer Science & Business Media
ISBN: 9400989822
Category : Science
Languages : en
Pages : 159

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Book Description
The role Hans Hahn played in the Vienna Circle has not always been sufficiently appreciated. It was important in several ways. In the ftrst place, Hahn belonged to the trio of the original planners of the Circle. As students at the University of Vienna and throughout the fIrst decade of this century, he and his friends, Philipp Frank and Otto Neurath, met more or less regularly to discuss philosophical questions. When Hahn accepted his fIrSt professorial position, at the University of Czernowitz in the north east of the Austrian empire, and the paths of the three friends parted, they decided to continue such informal discussions at some future time - perhaps in a somewhat larger group and with the cooperation of a philosopher from the university. Various events delayed the execution of the project. Drafted into the Austrian army during the first world war" Hahn was wounded on the Italian front. Toward the end of the war he accepted an offer from the University of Bonn extended in recognition of his remarkable 1 mathematical achievements. He remained in Bonn until the spring of 1921 when he returm:d to Vienna and a chair of mathe matics at his alma mater. There, in 1922, the Mach-Boltzmann professorship for the philosophy of the inductive sciences became vacant by the death of Adolf Stohr; and Hahn saw a chance to realize his and his friends' old plan.

Taming Intuition

Taming Intuition PDF Author: Kevin Arceneaux
Publisher: Cambridge University Press
ISBN: 1108415105
Category : Business & Economics
Languages : en
Pages : 265

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Book Description
Individuals vary in their ability to reflect on and override partisan impulses, affecting their ability to rationally evaluate politicians.

Rational Intuition

Rational Intuition PDF Author: Lisa M. Osbeck
Publisher: Cambridge University Press
ISBN: 1107022398
Category : Psychology
Languages : en
Pages : 451

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Book Description
Rational Intuition explores the concept of intuition as it relates to rationality through mediums of history, philosophy, cognitive science, and psychology.

The Interpretation of Frege's Philosophy

The Interpretation of Frege's Philosophy PDF Author: Michael Dummett
Publisher: Bloomsbury Academic
ISBN:
Category : Language and languages
Languages : en
Pages : 648

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Book Description


Your Intuition Led You Here

Your Intuition Led You Here PDF Author: Alex Naranjo
Publisher: HarperCollins UK
ISBN: 0008389861
Category : Body, Mind & Spirit
Languages : en
Pages : 171

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Book Description
Are you curious about magic, but don’t know where to begin?

Elements of Programming

Elements of Programming PDF Author: Alexander Stepanov
Publisher: Lulu.com
ISBN: 0578222140
Category : Computers
Languages : en
Pages : 282

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Book Description
Elements of Programming provides a different understanding of programming than is presented elsewhere. Its major premise is that practical programming, like other areas of science and engineering, must be based on a solid mathematical foundation. This book shows that algorithms implemented in a real programming language, such as C++, can operate in the most general mathematical setting. For example, the fast exponentiation algorithm is defined to work with any associative operation. Using abstract algorithms leads to efficient, reliable, secure, and economical software.