Paradox

"The ordinary man has always been sane because the ordinary man has always been a mystic. He has permitted himself the twilight. He has always had one foot in the earth and the other in fairyland. He has always left himself free to doubt his gods; but (unlike the agnostic of to-day) free also to believe in them. He has always cared more for truth than for consistency. If he saw two truths that seemed to contradict each other, he would take the two truths and the contradiction along with them. His spiritual sight is stereoscopic, like his physical sight; he sees two different pictures at once and yet sees all the better for that."
- G.K. Chesterton, Orthodoxy

This passage has been disturbing me for a few days. In mathematical terms, he seems to be saying A=A, and A=!A. And the logical part of me abhors this. This part of me says that there is always a correct answer, always a true and false. And yet I find something to like in this passage, because it seems that this is the way I have been behaving for years. I take from many sources and can believe that contradictory things can still be true. (Like free will vs. cause and effect)

And so this brief quote seems to be in itself a paradox for me. It seems I both agree and disagree with the quote at the same time.

...but if I do that, doesn't that mean that I agree with the quote completely?
...but then if I completely agree with it I no longer disagree and the quote is disproved?

I don't know, I'm getting myself caught in Catch-22's again. (Those seem to keep popping up...) But my mind keeps running in this same circle and I've been finding it hard to step off the track and relax.