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Who coined the term multiverse in 1895?

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The term "multiverse" was indeed coined by the American philosopher William James in 1895.1

It is important to clarify that when James introduced the term, he was not referring to the cosmological concept of multiple physical universes. Instead, he used "multiverse" to describe the confusing moral meaning of natural phenomena. The application of the term to the scientific theory of a collection of diverse, potentially observable universes is a later development.1