They Do It With Mirrors

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Creeds and schools in abeyance,
Retiring back a while sufficed at what they are, but never forgotten,
I harbor for good or bad, I permit to speak at every hazard,
Nature without check with original energy.

                    Walt Whitman, Song of Myself

Or to put it metaphorically: the bracketed matter is not wiped off the phenomenological slate, but only bracketed, and thereby provided with a sign that indicates the bracketing.  Taking its sign with it, the bracketed matter is reintegrated in the main theme of the inquiry.

                   Edmund Husserl, Ideas