object realism is the view that there exist mathematical objects. Another form of realism is concerned, not with the question of what there is, but with objectivity: Truth-value realism. Every well-formed mathematical statement has a unique and objective truth-value which is independent of whether it can be known by us or proved from our current mathematical theories. Frege accepts both forms of realism. As we have seen, he compares mathematicians with geographers, who discover new continents whose existence and characteristics are independent of us. Is there any relation between object
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