Principle of Mathematical Induction/Also defined as

Principle of Mathematical Induction: Also known as

The Principle of Mathematical Induction can often be found stated more informally, inasmuch as the propositional function $P$ is referred to as "a statement about integers".


Sources

  • 1953: L. Harwood Clarke: A Note Book in Pure Mathematics ... (previous) ... (next): $\text I$. Algebra: The Method of Induction
  • 1966: Richard A. Dean: Elements of Abstract Algebra ... (previous) ... (next): $\S 0.1$. Arithmetic: Theorem $4$
  • 1979: John E. Hopcroft and Jeffrey D. Ullman: Introduction to Automata Theory, Languages, and Computation ... (previous) ... (next): Chapter $1$: Preliminaries: $1.3$ Inductive Proofs
  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): induction: 1. (in mathematics)
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): induction: 1. (in mathematics)