Mathematics In General Is Fundamentally The Science

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.

Mathematics In General Is Fundamentally The Science Of Self-evident Things.

Projective Geometry Has Opened Up For Us With The Greatest Facility New Territories In Our Science, And Has Rightly Been Called The Royal Road To Our Particular Field Of Knowledge.

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.

Regarding The Fundamental Investigations Of Mathematics, There Is No Final Ending ... No First Beginning.