Combining Texts
Ideas for
'Walking the Tightrope of Reason', 'Isolation and Non-arbitrary Division' and 'Theory of Science (Wissenschaftslehre, 4 vols)'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
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9618
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Bolzano wanted to reduce all of geometry to arithmetic [Bolzano, by Brown,JR]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
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17435
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Objects do not naturally form countable units [Koslicki]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
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17433
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We can still count squares, even if they overlap [Koslicki]
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17439
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There is no deep reason why we count carrots but not asparagus [Koslicki]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
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17434
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We struggle to count branches and waves because our concepts lack clear boundaries [Koslicki]
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6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
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9830
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Bolzano began the elimination of intuition, by proving something which seemed obvious [Bolzano, by Dummett]
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