Archimedes Constructing His Circle Pays With His

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.

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.

Many An Article That I Myself Penned Twenty Years Ago Impresses Me Now As Something Quite Foreign To Myself.

I Can Accept The Theory Of Relativity As Little As I Can Accept The Existence Of Atoms And Other Such Dogmas.

What Mach Calls A Thought Experiment Is Of Course Not An Experiment At All. At Bottom It Is A Grammatical Investigation.