Combining Texts
Ideas for
'Mahaprajnaparamitashastra', 'Frege philosophy of mathematics' and 'Critique of Pure Reason'
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8 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
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8739
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Geometry studies the Euclidean space that dictates how we perceive things [Kant, by Shapiro]
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8740
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Geometry would just be an idle game without its connection to our intuition [Kant]
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16899
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Geometrical truth comes from a general schema abstracted from a particular object [Kant, by Burge]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
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9896
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A prime number is one which is measured by a unit alone [Dummett]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
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18255
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Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
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9895
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A number is a multitude composed of units [Dummett]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
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9852
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We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
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9632
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Kant only accepts potential infinity, not actual infinity [Kant, by Brown,JR]
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