Realizing Reason: A Narrative of Truth and Knowing

Hardcover | April 9, 2014

byDanielle Macbeth

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Realizing Reason pursues three interrelated themes. First, it traces the essential moments in the historical unfolding - from the ancient Greeks, through Descartes, Kant, and developments in the nineteenth century, to the present - that culminates in the realization of pure reason as a powerof knowing. Second, it provides a cogent account of mathematical practice as a mode of inquiry into objective truth. And finally, it develops and defends a new conception of our being in the world, one that builds on and transforms the now standard conception according to which our experience ofreality arises out of brain activity due, in part, to merely causal impacts on our sense organs. Danielle Macbeth shows that to achieve an adequate understanding of the striving for truth in the exact sciences we must overcome this standard conception and that the way to do that is through a more adequate understanding of the nature of mathematical practice and the profound transformations ithas undergone over the course of its history, the history through which reason is first realized as a power of knowing. Because we can understand mathematical practice only if we attend to the systems of written signs within which to do mathematics, Macbeth provides an account of the nature and roleof written notations, specifically, of the principal systems that have been developed within which to reason in mathematics: Euclidean diagrams, the symbolic language of arithmetic and algebra, and Frege's concept-script, Begriffsschrift.

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Realizing Reason pursues three interrelated themes. First, it traces the essential moments in the historical unfolding - from the ancient Greeks, through Descartes, Kant, and developments in the nineteenth century, to the present - that culminates in the realization of pure reason as a powerof knowing. Second, it provides a cogent acco...

Danielle Macbeth is T. Wistar Brown Professor of Philosophy at Haverford College in Pennsylvania and the author of Frege's Logic (Harvard University Press, 2005). She has also published on a variety of issues in the history and philosophy of mathematics, philosophy of language, philosophy of mind, pragmatism, and other topics. She was...

other books by Danielle Macbeth

Frege's Logic
Frege's Logic

Hardcover|May 31 2005

$81.84 online$83.95list price
Format:HardcoverDimensions:496 pages, 9.21 × 6.14 × 0.98 inPublished:April 9, 2014Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198704755

ISBN - 13:9780198704751

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Table of Contents

IntroductionPerception1. Where We Begin2. Ancient Greek Diagrammatic Practice3. A New World OrderUnderstanding4. Kant's Critical Turn5. Mathematics Transformed, Again6. Mathematics and LanguageReason7. Reasoning in Frege's Begriffsschrift8. Truth and Knowledge in Mathematics9. The View from HereAfterwordBibliographyIndex