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Definite descriptions in Frege's theory of cardinal numbers

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FFrege tried ti dt to refute f t this thi claim li for f objects bj t <strong>of</strong> f arithmetic ith ti and d tried ti dt to give i<br />

the def<strong>in</strong>ition <strong>of</strong> <strong>in</strong>dividual <strong>numbers</strong> as logical objects. When Frege’s<br />

explanation on construct<strong>in</strong>g logical objects is underm<strong>in</strong>ed, his refutation<br />

<strong>of</strong> requirement <strong>of</strong> <strong>in</strong>tuitions <strong>in</strong> arithmetic is also challenged. challenged<br />

This opens a passageway to <strong>in</strong>tuitions to def<strong>in</strong>e the basic mathematical<br />

objects <strong>of</strong> arithmetic.<br />

August 09 Özge Ek<strong>in</strong> Bogaziçi University ‐ Freie University 12/20

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