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How does Frege's definition of number solve the Julius Caesar problem?

How does Frege's definition of number solve the Julius Caesar problem?

Frege's definition of number in the end of Foundation is such: the number belonging to the concept F is the extension of the concept equal to the concept F such that F and G are equal if they can put in one to one correspondence.

I cannot wrap my head around the problem as to how to apply this definition to conclude that JC problem (about the nature of numbers) is overcome

Help would be much appreciated!

Thanks in advance!