Definition of 0 and 1: Introduction to the Logical Calculus

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0.13 Definition of 0 and 1We shall now define and introduce into the logical calculus two special terms which we shall designate by 0 and by 1, because of some formal analogies that they present with the zero and unity of arithmetic. These two terms are formally defined by the two following principles which affirm or postulate their existence.Ax. 6 There is a term 0 such that whatever value may be given to the term \(x\), we have\[0


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