Experience By Itself Is Not Science.

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.

In All The Areas Within Which The Spiritual Life Of Humanity Is At Work, The Historical Epoch Wherein Fate Has Placed Us Is An Epoch Of Stupendous Happenings.

Natural Objects, For Example, Must Be Experienced Before Any Theorizing About Them Can Occur.

To Every Object There Correspond An Ideally Closed System Of Truths That Are True Of It And, On The Other Hand, An Ideal System Of Possible Cognitive Processes By Virtue Of Which The Object And The Truths About It Would Be Given To Any Cognitive Subject.