Any Pleasure That Does No Harm To

Of These Austerer Virtues The Love Of Truth Is The Chief, And In Mathematics, More Than Elsewhere, The Love Of Truth May Find Encouragement For Waning Faith. Every Great Study Is Not Only An End In Itself, But Also A Means Of Creating And Sustaining A Lofty Habit Of Mind; And This Purpose Should Be Kept Always In View Throughout The Teaching And Learning Of Mathematics.

I Think Modern Educational Theorists Are Inclined To Attach Too Much Importance To The Negative Virtue Of Not Interfering With Children, And Too Little To The Positive Merit Of Enjoying Their Company.

Whoever Wishes To Become A Philosopher Must Learn Not To Be Frightened By Absurdities.

The World That I Should Wish To See Would Be One Freed From The Virulence Of Group Hostilities And Capable Of Realizing That Happiness For All Is To Be Derived Rather From Co-operation Than From Strife. I Should Wish To See A World In Which Education Aimed At Mental Freedom Rather Than Imprisoning The Minds Of The Young In Rigid Armor Of Dogma Calculated To Protect Them Through Life Against The Shafts Of Impartial Evidence.

... The Word "theory" ... Was Originally An Orphic Word, Which Cornford Interprets As "passionate Sympathetic Contemplation" ... For Pythagoras, The "passionate Sympathetic Contemplation" Was Intellectual, And Issued In Mathematical Knowledge ... To Those Who Have Reluctantly Learnt A Little Mathematics In School This May Seem Strange; But To Those Who Have Experienced The Intoxicating Delight Of Sudden Understanding That Mathematics Gives, From Time To Time, To Those Who Love It, The Pythagorean View Will Seem Completely Natural.