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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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This proposition is used in *234·181, in the theory of continuous functions.
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This and the following proposition are lemmas for *24·44.
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The following propositions, down to *24·495 inclusive, are lemmas inserted for use in much later propositions, most of them being only used a few times.

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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.