Definite descriptions in Frege's theory of cardinal numbers

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The Th number b 0 is i the th cardinal di l number b which hi h belongs bl to t the th concept t “not “ t identical with itself.” The number 1 is the cardinal number which belongs to the concept “identical with 0” The number 2 is the cardinal number which belongs to the concept “identical with 0 or 1” The number 3 is the cardinal number that belongs to the concept “member of the natural number series ending with 2” August 09 Özge Ekin Bogaziçi University ‐ Freie University 18/20
Wh What t FFrege says llogically i ll iis a good d way tto formulate f l t our intuitions i t iti of f numbers. When one thinks about the concept “not identical with itself”, it is clear that it is a priori and it is logical. Although one cannot have the empirical intuition of 0 objects, objects from this concept one can refer to the concept of number 0. August 09 Özge Ekin Bogaziçi University ‐ Freie University 19/20
Page 1 and 2: Özge Ekin Özge Ekin Bogazici Univ
Page 3 and 4: 1) Al Always tto separate t sharply
Page 5 and 6: “Only with the definite article o
Page 7 and 8: The number 1 is the cardinal number
Page 9 and 10: According to Frege: In the sentence
Page 11 and 12: FFrege, bby ttrying i tto ffree ari
Page 13 and 14: Immediate and singular Frege object
Page 15 and 16: Frege’s definition of number is p
Page 17: The form of time, with its unity gi

Definite descriptions in Frege's theory of cardinal numbers

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