ABSTRACT
The symbols and characters of mathematics cannot be formed haphazardly, nor can they be connected according to subjective convenience; rather, they obey certain norms of connectability that are stipulated by the necessity of the object. The controversy today is once more critical, and with it, the relationship between mathematics and logic seems to have become once again ambiguous and questionable. Mathematics as well as logic, however, refer originally to nothing other than finite quantities. In the battle for the “objectivity” of mathematics, a virtual about-face occurs as soon as the question is directed at mathematical signs rather than at mathematical objects. Mathematics would not be a synthetic-progressive science if its total field lay before it from its inception in a complete and surveyable glance. Its intellectual progress also consists in an unremitting advance into new, previously unknown, and inaccessible domains.
