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Principia mathematica, vol. 1 (of 3)

1. PRIMITIVE IDEAS AND PROPOSITIONS.

Project Gutenberg EPUB3 edition Whitehead, Alfred North and Russell, Bertrand
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The use of the above axioms will generally be tacit. It is only through them and the axioms of *9 that the theory of types explained in the Introduction becomes relevant, and any view of logic which justifies these axioms justifies such subsequent reasoning as employs the theory of types.
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This completes the list of primitive propositions required for the theory of deduction as applied to elementary propositions.

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Principia mathematica, vol. 1 (of 3), Project Gutenberg eBook #78050

SECTION A. THE THEORY OF DEDUCTION. *2. IMMEDIATE CONSEQUENCES OF THE PRIMITIVE PROPOSITIONS.