1. Concerned with the a priori or intuitive basis of knowledge as independent of experience. 2. Asserting a fundamental irrationality or supernatural element in experience. 3. Surpassing all others; superior. 4. Beyond common thought or experience; mystical or supernatural. 5. Not capable of being determined by any combination of a finite number of equations with rational integral coefficients. 6. Not expressible as an integer or as the root or quotient of integers. Used of numbers, especially nonrepeating infinite decimals.