Does a paradox have one premise wrong as demonstrated by John Galt?

It was Ayn Rand who in her book, "Atlas Shrugged", had various characters say in essence, "By the nature of the universe, contradictions can't exist. If you think see one, check your premises. You'll find one is wrong."

The characters of Francisco D'Anconia, Hugh Akston and John Galt were the ones who spoke on this.