New PDF release: A Companion to Hegel

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By Stephen Houlgate, Michael Baur

This better half offers unique, scholarly, and state of the art essays that hide the full variety of Hegel’s mature proposal and his lasting influence.
• A finished advisor to at least one of an important smooth philosophers
• Essays are written in an obtainable demeanour and draw at the newest Hegel research
• Contributions are drawn from internationally and from a wide selection of philosophical methods and traditions
• Examines Hegel’s impact on a variety of thinkers, from Kierkegaard and Marx to Heidegger, Adorno and Derrida
• starts with a chronology of Hegel’s lifestyles and paintings and is then cut up into sections protecting themes similar to Philosophy of Nature, Aesthetics, and Philosophy of faith

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Extra info for A Companion to Hegel

Sample text

1 But the value and cogency of his illustration appeared to be seriously undermined by the discovery of non-Euclidean geometry. Here Gauss immediately drew the most radical consequences for thc Lheory of knowledge. Arithmetic and analysis, based as they are on the idea of pure number, remained for him the purely rational knowledge. He dismissed geometry, however, from their company and placed it 011 the side of the empirical sciences. 'rhus he was led to attempt a solution of the problem, "which geometry is true," which if, the one existing in reality, by measurements on empirical bodies.

EXPERIENCE AND THOUGH1' 39 them. But the long-standing primacy of mathematics was not in the least impugned and its value to knowledge was no less highly prized than in the systems of classical rationalism. For Camte drew a sharp distinction between what he called particular faets and general facts. Mathematics occupied itself excluslVely with faits generaux and remained III that realm. That the very idea of a fait general contains a difficult problem, that it at least reqUIres a theoretical foundation and vindication-all this seems hardly to have been recognized by Comte.

In the transition to projective geometry~ however, even the eminent position of infinity comes to an end and eventually only one kind of conic section remains. 'I'his peculiar process of breaking down distinctions goes even farther when we go on to analysis situs, which treats of the 26. H. Weyl, "Philosophie der Mathematik," Natv,y . . ,S. 8 if. 34. EXACT SCIENCE totality of the properties that remain inLact with 1'C;,I)('('[ to all continuous one-to-one transformations, Here th(' di"t indian bC'l weell a cone, a cube, and a pyramid simply disappear;,; they arc no longer different but only one structure, because allY OIle can be changed into the other by a continuous trau'1formation.

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A Companion to Hegel by Stephen Houlgate, Michael Baur


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