Combining Texts
Ideas for
'Thinking About Mathematics', 'Logic (Encyclopedia I)' and 'Potentiality'
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5 ideas
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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Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
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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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