Model Of Theory

Two books detailing the same conflict between two sides, each from the perspective of one of the sides, each thoroughly convincing the reader that their respective protagonists are the good guys and their enemies the bad guys, despite no contradiction between the two accounts.

"There's no evidence for X" as a response to "Is there any evidence for not-X?"

Those who record every thought that crosses their mind, in hopes that others in the future will be able to figure out what they were like accurately enough to duplicate them, even after their bodies decay.

And hence the number of standard Young tableaux of shape λ would be |λ|! divided by the product of hook lengths. These events are not independent. This formula holds anyway.

If these events were independent, then the probability of a random labeling of the Young diagram being a standard Young tableau would be the product of reciprocals of all the hook lengths.

For every grid cell, the probability that its label is less than everything to its right or below it is the reciprocal of its hook length (the number of grid cells to its right, plus the number of grid cells below it, plus one for itself).

The number of standard Young tableaux of shape λ is the number of labelings of grid cells in the Young diagram of λ with distinct integers 1,...,|λ|, times the probability that a random such labeling is a standard Young tableau. The number of such labelings is |λ|!.

An automorphism of a topological space X is an X-fiber bundle over an oriented circle.

Ontological capture: the attempt to change the way concept-space is organized by repeatedly using concepts in accepted but noncentral ways until these uses become seen as more central, and the rest of the concept is reorganized around them.

Everything in the market is a monopoly. For any good or service on offer, no competitor can provide exactly the same good or service. At best, they can provide a close substitute. Sometimes such substitutes are close enough that the difference is not commonly seen as important.

A creature that lives on ice, and has evolved ice skates for feet

I cannot find my face. Hm, perhaps I left it in a mirror.

Game theory is hard, but he who has no rivals does not need to worry about it, because optimization is easy.

Society functions largely by people being pressured by their peers into behavior that is considered good. Yet "peer pressure" has negative connotations. This is because superiors also exert similar pressures, and compete with peers for power.

Dignity is an overrated virtue. Curiosity is an underrated virtue. People often should, and seldom do, take opportunities to trade away their dignity for curiosity.

D&D stats by usefulness: 1. intelligence 2. wisdom 3. charisma 4. constitution 5. strength 6. dexterity

The art of problem-posing

The people need more spoons. Do not give them spoons; that would make spoons less valuable and thus make it harder for them to make a living selling each other their spoons. Hire the spoon-makers to make forks, so that they will have more money that they can spend on spoons.

Comultiplication operations are best described in terms of what they are dual to, rather than directly.

The devil gives me a tube of SPF 10^-100 sunscreen. "Sounds useless, but couldn't hurt," I thought, and smeared some on my skin. I am struck by a photon and killed.