Geometry Is The Most Complete Science.

Who Of Us Would Not Be Glad To Lift The Veil Behind Which The Future Lies Hidden; To Cast A Glance At The Next Advances Of Our Science And At The Secrets Of Its Development During Future Centuries? What Particular Goals Will There Be Toward Which The Leading Mathematical Spirits Of Coming Generations Will Strive? What New Methods And New Facts In The Wide And Rich Field Of Mathematical Thought Will The New Centuries Disclose?

As Long As A Branch Of Science Offers An Abundance Of Problems, So Long It Is Alive; A Lack Of Problems Foreshadows Extinction Or The Cessation Of Independent Development.

An Old French Mathematician Said: "a Mathematical Theory Is Not To Be Considered Complete Until You Have Made It So Clear That You Can Explain It To The First Man Whom You Meet On The Street." This Clearness And Ease Of Comprehension, Here Insisted On For A Mathematical Theory, I Should Still More Demand For A Mathematical Problem If It Is To Be Perfect; For What Is Clear And Easily Comprehended Attracts, The Complicated Repels Us.

Is Mathematics Doomed To Suffer The Same Fate As Other Sciences That Have Split Into Separate Branches?... Mathematics Is, In My Opinion, An Indivisible Whole... May The New Century Bring With It Ingenious Champions And Many Zealous And Enthusiastic Disciples.

Before Beginning [to Try To Prove Fermat's Last Theorem] I Should Have To Put In Three Years Of Intensive Study, And I Haven't That Much Time To Squander On A Probable Failure.