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1. Kronecker wrote his 1845 dissertation, at the University of Berlin, on number theory , giving special formulation to units in certain algebraic number fields .
2. Certain abelian group structures had been used implicitly in Carl Friedrich Gauss' number-theoretical work Disquisitiones Arithmeticae (1798), and more explicitly by Leopold Kronecker.
3. Up to 10% cash back · Kronecker was busy devising a general arithmetic that would Arithmetize mathematics without transcending the realm of the algebraic
4. Every weekday, for 12 years Harold would run at a rate of nearly 57 steps per block for six blocks barely catching the 8:17 Kronecker bus.
5. For Kronecker, Cantor's hierarchy of infinities was inadmissible, since accepting the concept of actual infinity would open the door to paradoxes which would challenge the validity of mathematics as a whole.