It is a special kind of enlightenment to have this feeling that the usual, the way things normally are, is odduncanny and highly improbable. G.K.Chesterton once said that it is one thing to be amazed at gorgon or a griffin, creatures which do not exist; but it is quite another and much higher thing to be amazed at a rhinoceros or a giraffe, creatures which do exist and look as if they don't. This feeling of universal oddity includes a basic and intense wondering about the sense of things.
Sir Andrew Ague-Cheek: I'll stay a month longer. I am a fellow o' the strangest mind i' the world; I delight in masques and revels sometimes altogether (He's an oddity in that he enjoys having fun)
Arithmetic starts with the integers and proceeds by successively enlarging the number system by rational and negative numbers, irrational numbers, etc... But the next quite logical step after the reals, namely the introduction of infinitesimals, has simply been omitted. I think, in coming centuries it will be considered a great oddity in the history of mathematics that the first exact theory of infinitesimals was developed 300 years after the invention of the differential calculus.
It is a special kind of enlightenment to have this feeling that the usual, the way things normally are, is odduncanny and highly improbable. G.K.Chesterton once said that it is one thing to be amazed at gorgon or a griffin, creatures which do not exist; but it is quite another and much higher thing to be amazed at a rhinoceros or a giraffe, creatures which do exist and look as if they don't. This feeling of universal oddity includes a basic and intense wondering about the sense of things.