The Pure Mathematician, Like The Musician, Is

What Has Human Happiness To Do With Morals? The Object Of Morals Is Not To Make People Happy.

Philosophy, Though Unable To Tell Us With Certainty What Is The True Answer To The Doubts Which It Raises, Is Able To Suggest Many Possiblities Which Enlarge Our Thoughts And Free Them From The Tyranny Of Custom. Thus, While Diminishing Our Feeling Of Certainty As To What Things Are, It Greatly Increases Our Knowledge As To What The May Be; It Removes The Somewhat Arrogant Dogmatism Of Those Who Have Never Travelled Into The Region Of Liberating Doubt, And It Keeps Alive Our Sense Of Wonder By Showing Familar Things In An Unfamilar Aspect

Real Life Is, To Most Men, A Long Second Best, A Perpetual Compromise Between The Ideal And The Possible.

All That Passes For Knowledge Can Be Arranged In A Hierarchy Of Degrees Of Certainty, With Arithmetic And The Facts Of Perception At The Top.

Do Not Use Power To Suppress Opinions You Think Pernicious, For If You Do The Opinions Will Suppress You.