Projective Geometry Has Opened Up For Us

The Developing Science Departs At The Same Time More And More From Its Original Scope And Purpose And Threatens To Sacrifice Its Earlier Unity And Split Into Diverse Branches.

Among Mathematicians In General, Three Main Categories May Be Distinguished; And Perhaps The Names Logicians, Formalists, And Intuitionists May Serve To Characterize Them.

The Presentation Of Mathematics In Schools Should Be Psychological And Not Systematic. The Teacher, So To Speak, Should Be A Diplomat. He Must Take Account Of The Psychic Processes In The Boy In Order To Grip His Interest, And He Will Succeed Only If He Presents Things In A Form Intuitively Comprehensible. A More Abstract Presentation Is Only Possible In The Upper Classes.

Everyone Knows What A Curve Is, Until He Has Studied Enough Mathematics To Become Confused Through The Countless Number Of Possible Exceptions.

The Greatest Mathematicians, As Archimedes, Newton, And Gauss, Always United Theory And Applications In Equal Measure.