The relationship between truth and expression is something I thought about in my second year of high school when I had trouble with math. There was a math problem I couldn‘t solve.
Yet, when I saw the answer, I thought, “Oh, so that’s how it is,” and understood it. I was unable to solve in spite of having knowledge to solve. This annoyed me. Then, I delved into why I was unable to come up with the answer.
I made a discovery. The meaning of the problem‘s words--the “truth”--is sufficiently “expressed” in a necessary and sufficient manner, then that “expression” itself becomes the answer. The expressions were reversible and the same in meaning. I want to reproduce this fact. So I searched the Internet for a suitable math problem for today’s second-year high school. The problem I found was so simple that it would not even be a problem for a current high school student if he or she had memorized how to solve it. Now for a working person with no memory left, even this might seem difficult. It is not the purpose of this explanation to solve a difficult problem, so it would be easier to explain. So, let me write the problem in terms of truth and expression.
The problem statement was written in the following words.
Social Phenomena Overlaying Thermodynamics (6)
Vol.01-06
Jun 11, 2024
Content of This Article
Example 3 of the relationship between truth and expression

The words of parabola, line, shared point, and coordinates do not have a form. To give it a form, let's graph the problem statement. The task of graphing is taught by teachers in high school classes.
Most students can easily do that task. As I recall, I also tried to draw a graph. I tried to draw a graph as I remembered. If you graph precisely, you can tell the coordinates of the shared points by looking at them. Giving a shape of graph by drawing it precisely is one way to get an expression of truth.
The graph is also a form of expression (Fig. 1-3). The explanation of expression here assumes that you do not draw a precise graph.
[ Author : Y. F. ]

Fig.1-3 Expression 1 of problem statement expressed by graph drawing