Strange As It May Sound, The Power

The Mathematician Who Pursues His Studies Without Clear Views Of This Matter, Must Often Have The Uncomfortable Feeling That His Paper And Pencil Surpass Him In Intelligence.

Personally, People Know Themselves Very Poorly.

I Know Of Nothing More Terrible Than The Poor Creatures Who Have Learned Too Much. Instead Of The Sound Powerful Judgement Which Would Probably Have Grown Up If They Had Learned Nothing, Their Thoughts Creep Timidly And Hypnotically After Words, Principles And Formulae, Constantly By The Same Paths. What They Have Acquired Is A Spider's Web Of Thoughts Too Weak To Furnish Sure Supports, But Complicated Enough To Provide Confusion.

Mathematics May Be Defined As The Economy Of Counting. There Is No Problem In The Whole Of Mathematics Which Cannot Be Solved By Direct Counting.

The History Of The Development Of Mechanics Is Quite Indispensable To A Full Comprehension Of The Science In Its Present Condition. It Also Affords A Simple And Instructive Example Or The Processes By Which Natural Science Generally Is Developed.