"Take any number, for example," he said. "Take the number five. Back on Earth you can count five apples and say there are five apples. You can count out five eggs and place them in a box, and say there are the same number of eggs as there are apples. There are five of each. Actually that isn't true. There aren't five of either. There is no such thing as the number five. The number is a mental thing, a concept. The apples have a basic property which would more accurately be called a 'fiveness'. The eggs also have a basic property called a 'fiveness', and the fiveness of the eggs and the fiveness of the apples are NOT the same. They are peculiar to each group. The human race invented a concept called the number five, and formulated a theory that all fivenesses belong to a class, called the number five. In nature this theory acted as though it were true. If you have five apples and five eggs you have ten objects. A fiveness placed with another fiveness makes a tenness. So arithmetic merely describes the behavior of a basic property of reality in a consistent manner. Arithmetic is NOT a basic law. It's merely a DESCRIPTION of a basic law. "That basic doesn't seem to hold where we are now. But there are other basic things that seem to be violated here, too, and will probably be violated even more when and if we land on this planet. "I've pretty well concluded that number doesn't exist here in the same way it does ordinarily. Take the strength of gravity, for example. Instead of being a single value it is equally a broad range of values, and is all of them at the same time. How that can be I don't know. * * * * * "It's the same way with the number of objects. Instead of having five fingers I have three, four, five, six and so on, fingers all at the same time. But my mind can't see that. It can only grasp a single number. My eyes look at my fingers and see the many simultaneous numbers of fingers, but my mind can't grasp that, so _it conjures up a single number at random_. It RATIONALIZES what it gets, and so we have a real problem--the devising of some method of helping the mind deal with what it can't grasp because it hasn't the equipment to grasp it as it really is. "There are sixty of us on board--or rather, there WERE sixty. Now there are three, four, and so on, to some number above sixty. The last report handed in by the crew shows eighty-three men on board! I can't prove it, because if I handed you the report sheets you would count more or less than that number. "So what we must realize is that now there isn't any NUMBER of crew members, but a 'something else' that is different than a number, corresponding to an INTERVAL of numbers. It is real. It's a metaphysical basic for this part of space around this planet.