Combining Texts
Ideas for
'Through the Looking Glass', 'The Laws of Thought' and 'Logic (Encyclopedia I)'
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6 ideas
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
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Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend]
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5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
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Excluded middle is the maxim of definite understanding, but just produces contradictions [Hegel]
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5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
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Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter]
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5. Theory of Logic / L. Paradox / 3. Antinomies
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The idea that contradiction is essential to rational understanding is a key modern idea [Hegel]
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Tenderness for the world solves the antinomies; contradiction is in our reason, not in the essence of the world [Hegel]
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Antinomies are not just in four objects, but in all objects, all representations, all objects and all ideas [Hegel]
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