A similar paradox would be if someone said, "I am a liar."
If he's telling the truth, then he's lying, but if he's lying, then he's
telling the truth. If he were to say, "I am a liar most of the time,"
or, if he said, "I am a liar when I am with Susie," then there would be
no paradox.
The solution to these paradoxes is taking away the
selfreferential aspect.
The Circular Paradox
The following paradox is known as a circular paradox.
This paradox, known to some as the 'card
paradox,' or 'jourdain's paradox' is described as a card with a sentence
written on the front that says, 'The statement on the backside of this
card is true.' When the card is turned over, there is a sentence that
says, 'The statement on the front side is false.'
To condense it:
A. Side 2 is true
B. Side 1 is false.
This paradox is easier to understand as follows.
If side A is true, then B is true. But if B is true,
then A is false. From this, it follows that if A is true, then A is
false.
If A is false, then B is false, but if B is false, then
A is true. From this, it follows that if A is false, then A is true.
In three dimensional reality, if I were to find such a
card and read it, I would chuckle and say, "This is great." And
actually, that's what I did the first time I read it. But, after working
with it for awhile, I realized that to solve this paradox for Tspace,
there would have to be some major changes made. So much so, that there
would be little resemblance to the original paradox after solving it.
For example, Dennis Polis, a retired theoretical physicist, made a video
for YouTube^{ 8} in which he explains that the Jourdain
paradox is a closed system, because of its circularity. In order to
solve the paradox the system must be opened.
