Square of opposition
“everything has a pattern”?
“everything follows some pattern” –> no paradox
“everything follows no pattern” –> paradox
My above statements are meaningless, because they lack a precise meaning of the word “pattern”. In other words, whether each statement is correct or not, depends on the meaning of “pattern”.
In common usage, “pattern” has two possible meanings:
1. “X has a pattern” can mean that “X has repeated data“.
Since the data set X has repeated data, we can simplify X’s description.
For example, there is a die. You throw it a thousand times. The result is always 2. Then you do not have to record a thousand 2’s. Instead, you can just record “the result is always 2”.
2. “X has a pattern” can mean that “X’s are totally random, in the sense that individual result cannot be precisely predicted“.
Since the data set X is totally random, we can simplify the description using probabilistic terms.
For example, there is a die. You throw it a thousand times. The die lands on any of the 6 faces 1/6 of the times. Then you do not have to record those thousand results. Instead, you can just record “the result is random” or “the die is fair”.
— Me@2018-12-18 12:34:58 PM
2018.12.18 Tuesday (c) All rights reserved by ACHK