Note 347 — PART IV. LINGUISTIC. (continued 2)

The Religious Sentiment; Its Source and Aim. A Contribution to the Science of Religion. By D. G. Brinton, p. 31 (New York, 1876). The statement in the text can be algebraically demonstrated in the mathematical form of logic as set forth by Prof. Boole, thus: A=not (not-A); which, in its mathematical expression becomes, x=x2. Whence by transposition and substitution we derive, x2=1; in which equation 1=A. See Boole. An Investigation into the Laws of Thought (London, 1854).