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Schon in seiner Antrittsrede in der Berliner Akademie der Wissen- schaften sprach er aus, wie sehr ihn gerade diejenigen Probleme fllsselten, welche der Arithmetik und der Algebra gemeinlJam sind, und je weiter er selbst schaffend in seiner Wissenschaft vordrang, desto deutlicher wurde ihm der enge Zusammenhang zwischen diesen beiden grofsen Disziplinen und die Notwendigkeit, sie aus den . gleichen Ge- sichtspunkten zu behandeln. So wurde auch bei jeder Wiederholung die Verbindung zwischen jenen drei Vorlesungen eine engere, und zu- letzt empfand er es als innere Notwendigkeit, sie in einen Cyklus -zu vereinigen, dem er den zusammenfassenden Namen Ubel allgemeine Arithmetik gab. In seinen Vorlesungen wollte Kronecker eine Darstellung jener Disziplinen geben, . welche alle wesentlichen gesicherten Ergebnisse der Forschung bis zur Gegenwart zu einem einheitlichen organisch geglie- derten Ganzen . zusammenfafst. 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