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Corrections of the Paper "Definition of the Concept of Natural Numbers and its Existence Theorem. Solution of Hilbert's Second Problem"

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Corrections of the Paper

“Definition of the Concept of Natural

Numbers and its Existence Theorem.

Solution of Hilbert’s Second Problem”

By Yoshifumi Ito,

Published in J. Math. Univ. Tokushima, 45(2011), 1-7. (1) p.3, ↓ l.8∼ l.9.

(Er.) (I) For the addition by which two elements m, n∈ N correspond to their sum m + n, the following (1)∼(3) are satisfied :

(Cor.) (I) The sum m + n is defined for every two elements m, n∈ N. Then, as for the addition, the following (1)∼(3) are satisfied : (2) p.3, ↓ l.15∼ l.16.

(Er.) (II) For the multiplication by which two elements m, n ∈ N correspond to their product m· n = mn, the following (1)∼(3) are satisfied :

(Cor.) (II) The product m· n = mn is defined for every two elements

m, n ∈ N. Then, as for the multiplication, the following (1)∼(3)

are satisfied :

(Written on January 30, 2012)

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