By N. S. Hellerstein

This publication is set "diamond", a good judgment of paradox. In diamond, an announcement may be real but fake; an "imaginary" nation, halfway among being and non-being. Diamond's imaginary values remedy many logical paradoxes unsolvable in two-valued boolean good judgment. Diamond is a brand new technique to clear up the dilemmas of upper arithmetic. during this quantity, paradoxes by way of Russell, Cantor, Berry and Zeno are all resolved. This ebook includes sections: uncomplicated; which covers the vintage paradoxes of mathematical good judgment and indicates how they are often resolved during this new process; and complex, which relates diamond to Boolean common sense, three-valued good judgment, Gödelian meta-mathematics and drawback video games.

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