In a book from Micheal Searcoid called: 'Metric spaces'I found this statement: a collections of all continuous functions defined on [0,1] is of a greater cardinality than c. But it is not shown How can one show it? Is it true? I found some topics also here, where it is proved, that the cardinality of all continuous functions on R is of the same cardinality as R itself. Thank you Greetings Eu2718
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