When An Investigator Has Developed A Formula

Philosophically, The Notion Of A Beginning Of The Present Order Of Nature Is Repugnant To Me ... I Should Like To Find A Genuine Loophole.

To The Pure Geometer The Radius Of Curvature Is An Incidental Characteristic - Like The Grin Of The Cheshire Cat. To The Physicist It Is An Indispensable Characteristic. It Would Be Going Too Far To Say That To The Physicist The Cat Is Merely Incidental To The Grin. Physics Is Concerned With Interrelatedness Such As The Interrelatedness Of Cats And Grins. In This Case The "cat Without A Grin" And The "grin Without A Cat" Are Equally Set Aside As Purely Mathematical Phantasies.

The Quest Of The Absolute Leads Into The Four-dimensional World.

Let Us Suppose That An Ichthyologist Is Exploring The Life Of The Ocean. He Casts A Net Into The Water And Brings Up A Fishy Assortment. Surveying His Catch, He Proceeds In The Usual Manner Of A Scientist To Systematise What It Reveals. He Arrives At Two Generalisations: No Sea-creature Is Less Than Two Inches Long. (2) All Sea-creatures Have Gills. These Are Both True Of His Catch, And He Assumes Tentatively That They Will Remain True However Often He Repeats It.

We Often Think That When We Have Completed Our Study Of One We Know All About Two, Because 'two' Is 'one And One.' We Forget That We Still Have To Make A Study Of 'and.'