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Quote: define numeric identity in the same way as defining direction from the extension of the concept of parallel lines
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number as the extension of a class of equinumerous classes
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[For example, consider the definition of direction.] The judgment "line a is parallel to … can be taken as an identity. If we … identical with the direction of line b". … [p. 78 P66] the temptation is to give as our … [of direction] … then we have obviously come round in a … in every case whether the proposition "q is … [p. 79 P68] If line a is parallel to line … extension of the concept "line parallel to line … Let us try, therefore, the following type of … Google-1 Google-2
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Topic: number as the extension of a class of equinumerous classes (23 items)