If some thought experiments yield conclusions that outstrip any premises the experimenter could have articulated beforehand, they cannot be reconstructed as arguments without circularity.

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Articulated(referring to how Mill originally stated and explained his principle): Clearly expressed or formulated in words.
Circularity (or circular reasoning)(describing a flaw in the logic used to identify Dicaearchus as an author): When an argument uses its own conclusion as proof, like saying 'this book is true because the book says so'—it goes in circles instead of proving anything new.
Reconstructed as arguments(as used in logic and philosophy of reasoning): Taking something (like a thought experiment) and rewriting it in the form of a logical argument with clearly stated steps.
Thought experiments(as the tool modern philosophers use differently than Plato did): Imaginary scenarios that philosophers create and examine to test ideas or explore what's logically possible, often used to challenge assumptions.

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