Breaking Paradoxes with Space/Time

Logicians: I’m starting to use time to break paradoxes, and I would like feedback on that, like: This clause is false sometimes, true sometimes, both sometimes and none of the above sometimes. Is the clause valid? Sometimes a clause is here, and sometimes it's there, and sometimes it's nowhere! What if Russell's Paradox had time hints as to when the barber could shave himself. What if Godel's Incompleteness Theoreom could be proved some of the time and sometimes now? Ditto with the Halting Problem. If we put time into this problems, does Paradox go away? Only partially go away? Never go away?