What's Wrong with this Picture?

Here's a paradox:

Rule no. 1: Every rule has an exception, except from this rule.

They say, this rule can't be true. If it is true that every rule has an exception, than this rule must have an exception. Which it does - this rule is an exception, as it says, since it doesn't have exceptions. But if it doesn't have exceptions, how can it have an exception that is exemplified in itself?

But what some people miss is that at the same time it cannnot not be true. This is why it's a paradox and not just a false sentence. A paradox at the basis of set theory is what prevented from some mathematicians and philosophers to base Mathematics on logic. But that it precludes math means not that it precludes life. For, unfortunately, life is not math. Some may disagree. But human life is filled with paradoxes and it seems right to me that it is possible to base a life plan on something that, as I said, cannot not be true. I would not ride a spaceship built with that logic and please, if we schedule lunch - make sure that you did not schedule something else at the same time. In may fields of life, consistency is very important. But for these great questions of life, for these big issues that we grapple with anyway, does it not make sense to adopt a paradoxical approach?
When I was younger, I used to say that I'm principally unprincipled. To me, it meant that I am a person of principles and that my principles is not hold any principles so strongly that, as required by the spirit of the matter, I will never revise. How can I then hold that single principle and not revise it? Well, I cannot and am actually open to revise it. But for now, I have not - or so I said then.Does it not make sense?