Merely Fact-minded Sciences Make Merely Fact-minded People.

Experience By Itself Is Not Science.

If All Consciousness Is Subject To Essential Laws In A Manner Similar To That In Which Spatial Reality Is Subject To Mathematical Laws, Then These Essential Laws Will Be Of Most Fertile Significance In Investigating Facts Of The Conscious Life Of Human And Brute Animals.

All Perception Is A Gamble.

Without Troublesome Work, No One Can Have Any Concrete, Full Idea Of What Pure Mathematical Research Is Like Or Of The Profusion Of Insights That Can Be Obtained From It.

We Would Be In A Nasty Position Indeed If Empirical Science Were The Only Kind Of Science Possible.