Set of ordered pairs. That's it! This is illustrated at: math.stackexchange.com/questions/1480651/is-fx-x-1-x-2-a-function/1481099#1481099

1959 by Voice of America.

First let's discuss the argument against abortion. Most people would save the life of an infant over that of an animal, even if the animal is more intelligent. The only unbiased reason to do this is that given nutrients, the baby will develop into a more intelligent lifeform in the future. Thus wanting to save a "clump of cells" isn't as irrational as it may seem.

But our hypothetical above assumes that both the baby and the animal want to live. By not killing themselves, all conscious creatures have implicitly expressed their desire to continue living, and most people agree that that is to be respected, at least for humans. Which is why killing a person painlessly while they're unconscious is still considered wrong. But this desire does not apply to fetuses before the third trimester, which have never been conscious. This is the moral argument for abortion. There is also the obvious utilitarian argument for it.

The impact of the work is greater when you examine what one single new technology would do to existing society, as in Primer (2004), rather than "start on a society with severl new technologies", like in Star Wars.

For a stable society, people need assurance that they will not be spied on, so we must slightly extend the concept of private property to include personal space. Otherwise, someone repeatedly coming within a centimeter of you and using the "I'm not touching you" kindergarten taunt would be totally allowed. The extent of this personal space is context dependent, and could be the toilet, changing room, bedroom, underneath a skirt, etc. If someone's personal space is in overlap with your private property, you cannot immediately violate said space, but can ask them to leave, and take measures to remove them only if they don't comply within a reasonable timeframe.

Today, shipping costs are so low (eg., $0.50 per kg for US-China shipments) that for most goods, the market is global.

But what if the main water supply in a region is owned by a single entity, and they charge exorbitant prices? Unlike food, bringing in water from faraway regions would be too expensive. Of course, people moving out would result in the entity going out of business and selling the water supply to someone more rational, but due to various reasons, moving out isn't always easy.

Here's the true solution. Currently, the water supply in most countries is owned by the government. Upon transition to libertarianism, the water supply in each region would simply be an entity with ownership distributed among the residents. If some of them sell their shares of the water supply to a company that then jacks up the prices, they'll have to move out, but that is simply them facing the consequences of risking putting their water supply in another's hands.

What if the water supply was sold by the government to a private entity currently subject to regulations? Would a libertarian transition remove those regulations? Note that this situation is caused by having to transition from big government to libertarianism. If a libertarian society arose naturally, rights to natural resources would be distributed among the community via the principle of homesteading. And as before, anyone selling their rights must be moving or have another source ready, othewise accept the potential consequences.

To fix the issues caused by a non-libertarian government, non-libertarian measured may be needed. The government had no right to the water, nor to sell it to the private entity. It may need to be taken back.

Just use limit instead, please. The French are particularly guilty of this.

So we can track the music in Git!