Combining Texts
Ideas for
'Frege philosophy of mathematics', 'Matter and Motion Cannot Think' and 'Sets, Aggregates and Numbers'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
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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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
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 / c. Counting procedure
17818
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How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
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17822
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Nothing is 'intrinsically' numbered [Yourgrau]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
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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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