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" "If there are different Notions of the science of Philosophy, it is the true Notion alone that puts us in a position to understand the writings of philosophers who have worked in the knowledge of it. For in thought, and particularly in speculative thought, comprehension means something quite different from understanding the grammatical sense of the words alone, and also from understanding them in the region of ordinary conception only. Hence we may possess a knowledge of the assertions, propositions, or of the opinions of philosophers; we may have occupied ourselves largely with the grounds of and deductions from these opinions, and the main point in all that we have done may be wanting — the comprehension of the propositions
Georg Wilhelm Friedrich Hegel (27 August 1770 – 14 November 1831) was a German philosopher considered one of the most important figures in German idealism. He is one of the fundamental figures of Western philosophy, with his influence extending to the entire range of contemporary philosophical issues, from aesthetics to ontology to politics, both in the analytic and continental tradition.
Biography information from Wikiquote
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All the same, while proof is essential in the case of mathematical knowledge, it still does not have the significance and nature of being a moment in the result itself; the proof is over when we get the result, and has disappeared. The process of mathematical proof does not belong to the object; it is a function that takes place outside the matter in hand.
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