Combining Texts
Ideas for
'works', 'Intro to 'The Reason's Proper Study'' and 'The Ethics'
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7 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
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17185
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Mathematics deals with the essences and properties of forms [Spinoza]
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6. Mathematics / A. Nature of Mathematics / 2. Geometry
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17222
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The sum of its angles follows from a triangle's nature [Spinoza]
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17197
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The idea of a triangle involves truths about it, so those are part of its essence [Spinoza]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
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10624
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The incompletability of formal arithmetic reveals that logic also cannot be completely characterized [Hale/Wright]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
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10629
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If structures are relative, this undermines truth-value and objectivity [Hale/Wright]
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10628
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The structural view of numbers doesn't fit their usage outside arithmetical contexts [Hale/Wright]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
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10622
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The neo-Fregean is more optimistic than Frege about contextual definitions of numbers [Hale/Wright]
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