(1.4.7.1) Generalization by pattern discovery
In mathematics to high school, the teacher often teaches how to solve the problem, and we apply abstract knowledge to specific problems.
We spend not much time on how to make the abstract or general knowledge. It is by pattern discovery. For example, after you see questions Q1 and Q2, you may find how to solve those kinds of questions. After seeing pigeons, sparrows, and swallows flying, you may think that birds fly. These are the pattern discovery. The abstract knowledge that "birds fly" made. This knowledge is sometimes wrong. For example, penguins do not fly even they are birds. However, even if you make a mistake, it is necessary to abstract.
Without an abstraction, when you see a new bird, you think that you do not know whether this bird flies or not because you have not observed it yet. If you do not know anything you have not taught, you can not solve a new problem.
https://gyazo.com/7e3909bdf210803a2f5d25e6bc5d9cfa
Fig: Concrete information gathering, pattern discovery, pattern application
(1) collection of concrete facts
Doves fly
Sparrows fly
Swallows fly
(2) pattern discovery
Birds fly
(3) application of the pattern
Crows may fly
For this example, it is correct
For another example, "penguins may fly" is incorrect
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