The chicken or the egg? The paradox: Chickens must come from eggs and eggs must come from chickens is a cyclical system, a "box" that evaluated on it's own terms is a priori insoluable.
The empirical flaw that the term all eggs come from chickens is demonstrably incorrect by pointing to other eggs can eliminated by repostulating that all chickens eggs come from chickens then a priori the paradox. Unless the repostulate can be empiricaly proven to be incorrect. That proof required an understanding of evolution and data from palientology to establish. But it does not require a broad understanding of either to understand.
Another more interesting paradox is the time travel paradox. Specificly The Grandfather Paradox. If a man goes back in time and kills his grandfather how can he be born to go back and kill his grandfather?
This question placed in terms of the laws of thermodynamics could read like this. A pack of matches has a certain amount of energy stored in it. If you place the pack on a table today and pick it up tomorrow to return to today you can place the pack from tomorrow next to the pack from today and have two packs containing twice the energy of one pack. You will have violated the first law of thermodynamics by increasing the net energy level of the universe by one pack of matches. Thus the paradox. Or is it?
If tomorrow exists, then todays pack of matches exists in tomorrow. Bringing the matches to today violates no laws of thermodynaics because you have not increased anything only changed somthing's position. a priori if tomorrow exists. However tomorrow cannot be proven empiricly.
Another way to approach the question is to empiricly examine the postulate of thermodynamics itself.
The a prioi postulate is : In a closed system like the niether matter nor energy can be created or destroyed. Empirical tests of the postulate can only be conducted on finite systems from which there is always leakage. Therfore there is no way to test weather matter can be destroyed.
But what about created?
Steven Hawking cooked up the idea of Hawking Radiation.
The way it works is this: virtual particals, which are two particals of equal but opposite charge form ajacent to each other in empty space and immediatly anihilate each other thus maintaining the thermodynamic level of the universe.
Hawking speculated that two such particals forming on the swarthschild radius of a black hole, one just inside the radius and never to escape and the other just outside and able to escape. Thus on rare occations they are prevented from anihilating each other and thus adding to the net thermodynamic level of the universe. The one that escapes is called Hawking Radiation
The last I heard was that Hawking radiation had been discovered coming from several black holes.