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1

Yes, there are at least four somewhat-different things that have either been called a "principle of permanence" historically, or might be called so currently. The easiest to explain (and legitimize) is in complex analysis, more often nowadays called the Identity Principle. It had also been called "The Principle of Permanence of Analytic ...


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I've come to the conclusion that the Wikipedia article is simply wrong, and I've completely rewritten it (permalink to original). It described the Identity Theorem, not any kind of "Principle of Permanence". The Wikipedia article was clearly based on this MathWorld article; the Wikipedia article's other citations were either about Peacock's ...


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