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Principia mathematica, vol. 1 (of 3)

*24. THE UNIVERSAL CLASS, THE NULL-CLASS, AND THE EXISTENCE OF CLASSES.

Project Gutenberg EPUB3 edition Whitehead, Alfred North and Russell, Bertrand
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The above two propositions (*24·23·24) exhibit the algebraical analogy of to zero.
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This exhibits the analogy of to 1.
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This exhibits the analogy of to .
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The above proposition is very frequently used.
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This proposition is the correlative of *24·3, but, unlike that proposition, it is not useful in the sequel. Every proposition concerning has a correlative concerning , but we shall often not give these correlatives, since they are seldom required for subsequent proofs.

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

*23. CALCULUS OF RELATIONS. *25. THE UNIVERSAL RELATION, THE NULL RELATION, AND THE EXISTENCE OF RELATIONS.