Combining Philosophers
Ideas for Baron,S/Miller,K, Michael Dummett and John Heil
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7 ideas
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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9191
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Ordinals seem more basic than cardinals, since we count objects in sequence [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 / a. The Infinite
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18518
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Infinite numbers are qualitatively different - they are not just very large numbers [Heil]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
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15938
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Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]
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