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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Metamathematics and the Philosophical Tradition

Metamathematics and the Philosophical Tradition

Boos, William
Boos, Florence S.

Hardcover

PhilosophyGeneral MathematicsLogic

ISBN10: 3110572214
ISBN13: 9783110572216
Publisher: De Gruyter
Published: Dec 17 2018
Pages: 492
Weight: 1.90
Height: 1.06 Width: 6.14 Depth: 9.21
Language: English

Metamathematics and the Philosophical Tradition is the first work to explore in such historical depth the relationship between fundamental philosophical quandaries regarding self-reference and meta-mathematical notions of consistency and incompleteness.

Using the insights of twentieth-century logicians from Gödel through Hilbert and their successors, this volume revisits the writings of Aristotle, the ancient skeptics, Anselm, and enlightenment and seventeenth and eighteenth century philosophers Leibniz, Berkeley, Hume, Pascal, Descartes, and Kant to identify ways in which these both encode and evade problems of a priori definition and self-reference. The final chapters critique and extend more recent insights of late 20th-century logicians and quantum physicists, and offer new applications of the completeness theorem as a means of exploring metatheoretical ascent and the limitations of scientific certainty.

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