A Path about Thinkings of Mathematics

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On facing the world, people found that the nature is composed of various objects. There are many types of "existence" around them, say trees, flowers, stones, rabbits, rivers, mountains, clouds, birds, and so on.

In detail, when firstly noticing what we see about the world, we may use "original language", that is, an easy language with simple sentences and elementary words, to say about it.

There is a tree, and a tree, and a tree, and still a tree, and a more tree, in the grassland; there is a car, and another car, and still another car, and still again a car, and a bookstore, and another bookstore...

The sun is of a "harmonic" shape; a pineapple is of a "strange" shape; a watermelon is much larger than a tomato; bananas are "bent" shapes which are like that of the moon in certain days. Lakes occupy zones of the ground, some of which are small while some are large...

Describing the world hence becomes what people feel interested. In fact, nature itself gives people "two" basic intuitions, counting and shapes, by which, people can build up a model of the world in minds.







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