By studying "Study of Consciousness", I would like to think about my method and the coaching theory, such as unconscious rewriting.
This series of blog posts is my study note.
Research has shown that the Grand Master of Chess can evaluate the placement of pieces and memorize the details by automatically dividing the board into meaningful components and analyzing them at a glance. It proved.
This theme is a good way for me to solve complex problems.
I used to say, "Let's leave luck to heaven and play."
When I was doing something else, such as "I'm stuck, I need to change my mood here," the solution sometimes came to mind.
When I was on a business trip and looking at the train window on the Shinkansen, I suddenly had an idea.
Stanislas Duanne says, "We are only conscious of conscious thinking." So we are usually almost unaware of the unconscious. (That's why it's "unconscious".)
We always overestimate the role of consciousness in our physical and mental life.
I connect my actions to overly conscious judgment by forgetting the unconscious power.
Therefore, I misunderstand that consciousness plays a leading role in daily life.
We underestimate how much vision, language, and attention can occur outside of our awareness.
Below is an example of the unconscious action of Henri Poincaré, one of the greatest mathematicians in history.
Episode 1
I left Khan, where I was living, for a geological survey sponsored by a mining school.
Events during the trip made me forget about my studies in mathematics.
I rode a horse-drawn carriage to get to another destination upon arriving in Coutances.
The moment I stepped down, without warning, I came up with the idea that the transformation used to define the Fuchs function was the same as the transformation of non-Eure geometry.
I sat in a horse-drawn carriage seat and the middle of a conversation, so I didn't have time to test this idea. However, I was convinced that there was no mistake.
And when he returned to Khan, he took some time to verify it.
Episode 2
I turned my attention to an available arithmetic problem that I didn't think had anything to do with my previous research.
I wasn't happy with it, spending a couple of days at a coastal resort and thinking about something else.
One morning, as I walked on a cliff, the idea that a number-theoretic transformation of an indefinite quadratic form was the same as a transformation of non-Euclidean geometry suddenly emerged with the same simplicity and clarity as before.
The world-famous mathematician Jacques Hadamard introduces this episode and explains his mathematical discoveries in four stages.
Preparation
Intended conscious scrutiny is carried out at every preparation stage on a particular issue. (This frontal attack usually does not bear fruit)
The unconscious action starts toward elucidation.
hatching
During the unconscious fostering period, the mind (unconscious) is vaguely involved in the problem and shows no conscious effort.
The effect can only grasp the function of hatching.
Elucidation
After a deep sleep or taking a walk at will, sudden "elucidation" occurs.
The solution brilliantly emerges and invades the mathematician's consciousness.
This solution is usually correct.
inspection
Clarifying all the details requires a slow and effortless conscious "verification" process.