Dan塾

(For the English version, please scroll down.)

多数決のヤバいところは
1+1=3という意見でも
場合によっては99:1で
正しいとなってしまうところ

本来は命題が真であると証明されるまでは
正しいと言っちゃいかんし
あらゆる仮説も平等であるべきなのだ

ところがそれだと物事が
前に進まないと言う
それはそうだよ
その為に多数決がある
大事なことは

「一旦、この方針でいくけど
正しいかどうかはわからないから
新事実が発覚したら
いつでも修正しますね」

という誠実な柔軟性であって
哀しいことに多くの場合は
この姿勢に欠けているところに
社会のほとんどの問題は
起因していると思う

特定の人々の
つまらん見栄プライドによる
人災と断言していいだろう
歴史的にそうだもの

間違った人を
責めるべきではないんだよな
間違ったことではなく
その間違った事実を真理として
強権的に押し付けたりしたのであれば
それは確かに罪深いことだが
そうでもない限りは
間違いを認められる人ほど
尊敬されるべきなのだよ

そういう社会にしていかなければ
なんでも吊し上げれば
いいってもんじゃないんだよ

真の知性とは「修正能力」にある
だからこそ人間の能力は
「過去」ではなく「現在の傾き」
つまり「微分系」で評価すべきなのだ

それは「行動」にしか現れない
強いて言えば「微小未来の現在位置」
つまり「その瞬間の目標設定」が
それを計る指標にはなるだろうが

そう言った視座を持てる人が
増えれば増えるほど
世の中はポジティブに発展していくことは
数学的には明らかと言えるだろう

”The Ideal Form of Majority Rule“

The Fundamental Danger of Majority Rule:

The truly problematic aspect of majority rule lies in its potential to validate objectively false propositions. Even an assertion as demonstrably incorrect as “1+1=3” could, under certain circumstances, be declared “correct” by a vote of 99 to 1. This illustrates the fundamental tension between democratic decision-making and objective truth.

In principle, no proposition should be declared correct until it has been rigorously proven true, and all hypotheses should be treated with equal consideration regardless of their popularity. This represents the ideal of intellectual honesty and scientific methodology.

The Practical Necessity:

However, critics rightfully point out that strict adherence to this principle would paralyze decision-making entirely. Nothing would ever move forward if we waited for absolute certainty on every issue. This is precisely why majority rule exists as a practical mechanism for social progress and governance.

The Essential Attitude – Sincere Flexibility:

What truly matters is not the abandonment of intellectual rigor, but rather the adoption of what we might call “sincere flexibility.” This approach embodies the following commitment:

“We will proceed with this policy for now, recognizing that we cannot be certain of its correctness. Should new facts emerge or better evidence come to light, we remain ready to revise our position at any time.”

This represents a mature balance between the need for action and the acknowledgment of fallibility. Tragically, this crucial attitude is absent in most cases, and I believe this absence constitutes the root cause of the vast majority of societal problems we face today.

The Source of Man-Made Disasters:

These failures can be accurately characterized as man-made disasters, stemming from the petty vanity and pride of specific individuals who refuse to acknowledge uncertainty or the possibility of error. Historical analysis consistently supports this pattern – from political disasters to scientific stagnation, the common thread is often the stubborn defense of positions that should have been subject to revision.

On Blame and Responsibility:

It is crucial to distinguish between different types of errors when assigning responsibility. We should not condemn people merely for being wrong – error is an inevitable part of the human condition and the learning process. The true transgression occurs when someone takes a false belief, treats it as absolute truth, and forcefully imposes it upon others through authority or coercion.

In contrast, those who demonstrate the capacity to acknowledge their mistakes and revise their positions deserve our highest respect. Building a society that rewards such intellectual honesty, rather than one that punishes every error through public shaming, is essential for progress.

True Intelligence as Correction Capacity:

Genuine intelligence manifests not in the accumulation of past achievements, but in the ability to make corrections and adjustments. This is why human capability should be evaluated based on present trajectory rather than historical record – in mathematical terms, we should assess people using a “differential” or “derivative” approach rather than focusing on their cumulative past performance.

Just as a derivative in calculus measures the rate of change at a specific moment rather than the total distance traveled, we should evaluate individuals based on their current direction and rate of improvement rather than their starting point or past mistakes.

Measurement and Practical Application:

This capacity for correction reveals itself primarily through concrete actions rather than stated intentions. If we need a measurable indicator, it would be something like “the position in the immediate future” – essentially, the goals and directions a person sets for themselves in any given moment. This represents the most honest gauge of someone’s intellectual trajectory and capacity for growth.

The Mathematical Conclusion:

The assertion that increased adoption of this perspective leads to positive societal development can be understood as mathematically evident through the concept of positive feedback loops. When more individuals in a society demonstrate the ability to correct course based on new information, the collective system becomes more adaptive and resilient. This creates a compounding effect where:

Where the total progress is proportional to the sum of individual capacities for self-correction across the population. As this sum increases, the society’s ability to solve problems, adapt to challenges, and optimize outcomes grows exponentially rather than linearly.

This mathematical perspective on social development suggests that fostering intellectual humility and correction capacity may be one of the most effective strategies for creating a more prosperous and harmonious society.