The Principles of Mathematics (1903)

Chapter VIII. The Variable.

Table of Contents

  1. § 86. Nature of the variable
  2. § 87. Relation of the variable to any
  3. § 88. Formal and restricted variables
  4. § 89. Formal implication presupposes any
  5. § 90. Duality of any and some
  6. § 91. The class-concept propositional function is indefinable
  7. § 92. Other classes can be defined by means of such that
  8. § 93. Analysis of the variable

§ 87 n. 1. Here there is a c, where c is any class, is defined as equivalent to If p implies p, and x is a c implies p for all values of x, then p is true.

§ 87 n. 2. Was sind und was sollen die Zahlen? Brunswick, 1893.

§ 87 n. 3. Allgemeine Arithmetik, Leipzig, 1885.