Galton speaks of numbers being personified, and gives several instances of children doing this. The son of an old friend of mine—an undergraduate now—tells me he did it when a child and sometimes does it still. His views are—“1 and 0 do not count, being inactive. 2, good-natured, always doing its best to please. 3, sometimes kind and condescending, hated by 8 when added, but not when multiplied to make 24: great friend of 9. 4, not very noticeable, but means well: great friend of 8 and 6. 5, much the same as 4, but no special friend except 2: rather meek. 6, inclined to be selfish: no great friend of 3, pals with 4 and 8. 7, unlucky and despised, bad luck in making such numbers as 49 and 63 when multiplied. 8, fat and good-natured, but inclined to be selfish: likes being made up to good round numbers such as 12, 24, 48, &c. 9, friend of 3, disagreeable and a bully, despised for making brutish numbers such as 27, 63, 81, &c.”
I now suspect Pythagoras of having done this as a child and then, instead of putting away childish things, making it a basis for much of his philosophy. Thus, amongst other things, he says that 8 is Justice itself, being isacis isos or bis bina bis—in other words, it is composed of 4 and 4, and each 4 is composed of 2 and 2, so that there is even balance throughout. This reasoning must surely be an afterthought to justify some childish fancy.
Usually, when people think of numbers, they see the Arabic figures with their mind’s eye; and some people can see these figures manœuvring at each stage of a calculation. (I heard this from George Bidder, who was famous as The Calculating Boy a hundred years ago.) Within narrow limits I see this manœuvring myself; but, although they are mere figures, I feel that they are moving like soldiers on parade. And that comes very near personifying them.
I imagine that the people who see things very clearly with their mind’s eye, are the most likely people to see visions when their intellect has lost its balance through hunger or fatigue. In dreams the outward eye is closed, and the mind’s eye must rely on memories that are often mixed. But in visions both sights are at work, though the outward eye is working listlessly for want of physical strength; and I suspect that every vision is based on what the outward eye is seeing at the time.
There is a clump of trees upon the summit of a hill about three miles from here, and it stands out against the sky-line, when one looks up along the valley of the Wrey. It looked like any ordinary clump of trees until the undergrowth was cut a little while ago; but now one sees the sky between the tree-tops and the hill, and the line of tree-tops looks just like a prehistoric monster of the lizard type. I notice that it looks more life-like, when I am tired out; and with want of sleep and food as well, I might have visions of a dragon there.
Some years ago a woman said that she had seen the Devil, when she had only seen the Rural Dean. She lived in a lonely cottage; and, when the Devil went to Widdicombe on 21 October 1638, he called there to inquire the way, and he asked for water—which betrayed him by going off in steam. Now the Rural Dean was dressed in black and mounted on a big black horse; and it was a foggy day, so that he loomed up large. Not knowing the story, he called there to inquire the way to Widdicombe, and asked for water also, but did not get it, as the woman fled. I think she had a vision, merely based on what she saw, and going far beyond that. She said she saw his horns.
People who have seen the Devil, all say he is just like the pictures of him: so I suppose they carry these pictures in their mind, and see them with the mind’s eye, when they are in a fright. Pictures may also be the basis of many of our outlandish dreams. After a long look at a picture of some centaurs, a man here said to me—“Pity there bain’t such critters now: they’d be proper vitty on a farm.” I quite agreed with him, they would. A week afterwards he said to me—“I dreamed as I were one o’ they, and, my word, I did slap in.”
I have not heard of the Devil being seen about here very lately, nor of many witches. Seven or eight years ago two elderly people were complaining that someone had ill-wished them; but their misfortunes could be explained by their own want of foresight, without the intervention of an evil eye. They came from Cornwall. An old friend of mine tells me that his grandmother practised witch-craft there. She could bring down rain or bring in shoals of fish, but would seldom perform the rites until she had been asked repeatedly. In fact, she waited till the weather showed her what was coming.
My grandfather was called an atheist by several people here, because he scoffed at witch-craft, “a thing attested by the Word of God.” If you denied the Witch of Endor, you might as well deny John Baptist or Saint Paul. Witch-craft was as well attested as the miracles. But then they said that miracles had ceased, yet said the Bible showed that there was witch-craft still.
In very early life I felt certain that a woman here must be a witch, because she looked it. She lived in a cottage that had a great big open fireplace, and she sat there cowering over the fire on the hearth, with her walking-stick leant up across her knees. I had no doubts about her flying up the chimney on that stick, and always hoped she would while I was there.