Combining Texts
Ideas for
'Logic (Encyclopedia I)', 'Logicism and Ontological Commits. of Arithmetic' and 'Reason, Emotions and Good Life'
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7 ideas
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
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Higher-order logic may be unintelligible, but it isn't set theory [Hodes]
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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 / D. Assumptions for Logic / 4. Identity in Logic
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Identity is a level one relation with a second-order definition [Hodes]
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5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
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When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes]
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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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