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By I. Cotaescu

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V. , Weizsäcker, C. F. v. (1987) Intern. Journ. Theoret. Phys. , (1988). Intern. J. of Theoret. Phys. 27 527 Görnitz T (1988²) Intern. J. of Theoret. Phys. , Weizsäcker, C. F. v. (1992). Intern. J. Theoret. Phys. , (1999). Quanten sind anders - Die verborgene Einheit der Welt, Spektrum Akadem. , Görnitz, B. (2002). Der kreative Kosmos - Geist und Materie aus Information. Spektrum Akadem. , Görnitz, B. (2008). Die Evolution des Geistigen, Vandenhoeck & Ruprecht, Göttingen, Hawking, S. , Ellis, G.

For ¯ Eq. 6. Let real numbers let r be a positive real number in R, R¯ r = { R, +r , −r , ×r , ÷r ,

The subscript, x, indicates that these structures are contained in x . The other idea introduced here is the use of scaling factors for structures for the different number types. These scale structures are based on the observation (Benioffa, 2011; Benioffb, 2011; Benioffc, 2011) that it is possible to define, for each number type, structures in which number values are scaled relative to those in the structures shown above. The scaling of number values must be compensated for by scaling of the basic operations and constants in such a way that the scaled structure satisfies the relevant set of axioms if and only if the original structure does.

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