And all this time I thought we were talking about "able to be expressed as a ratio between two integers"!
This leads me to imagine promoting blatant woo by saying "transcendentalism covers so much more than your mere 'rationality'!" (I promise not to start selling woo with such a tagline.)
You see, I've seen the word "rationalism" used to mean all five of these things at different times:
Edited to reinstate that proposed solution, since this discussion is presumably finished.