TezlaKoil

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# Wiki Contributions

In a topological space, defining

1. X ∨ Y as X ∪ Y
2. X ∧ Y as X ∩ Y
3. X → Y as Int( X^c ∪ Y )
4. ¬X as Int( X^c )

does yield a Heyting algebra. This means that the understanding (but not the explanation) of /u/cousin_it checks out: removing the border on each negation is the "right way".

Notice that under this interpretation X is always a subset of ¬¬X.:

1. Int(X^c) is a subset of X^c; by definition of Int(-).
2. Int(X^c)^c is a superset of X^c^c = X; since taking complements reverses containment.
3. Int( Int(X^c)^c ) is a superset of Int(X) = X; since Int(-) preserves containment.

But Int( Int(X^c)^c ) is just ¬¬X. So X is always a subset of ¬¬X.

However, in many cases ¬¬X is not a subset of X. For example, take the Euclidean plane with the usual topology, and let X be the plane with one point removed. Then ¬X = Int( X^c ) = ∅ is empty, so ¬¬X is the whole plane. But the whole plane is obviously not a subset of the plane with one point removed.

Thanks for giving a name to this phenomenon.

Indeed, it would not surprise me if some people actually want hedge drift to occur. They don't actually try to prevent their claims from being misunderstood.

It's much worse. In my experience as an academic, most departments simply pre-hedge-drift their press releases. Science journalists don't - and are often not qualified to - read and comment on the actual papers, all they have to work with is the press release.

I mean nationalized, as in the distribution of tobacco products (imports, wholesale, retail) is handled by companies that may or may not have been private at some point, but are now property of the state.

What do you mean by nationalizing?

The weight of evidence best demonstrates that control measures have thus far been quite uniformly positive.

I see. The black market effects are well-documented, but I am not familiar with evidence which shows that control measures have any measurable effects on public health. Where could I find that data?

Dagon's points are very good. There's another aspect as well:

Tobacco import and distribution (and in some cases, production) are already nationalized in many countries, especially in the EU. National governments try to impose artificial scarcity (winding down operations, tax increases, fixed pricing), and this makes the statistics look better - officially monitored tobacco sales decrease.

Artificial scarcity cannot last: a black market of RYO tobacco, and home-made cigarettes of dubious origin is always ready to serve customer demands. In the end, the health effects of nationalizing the tobacco industry, and winding down operations, can easily be negative.

I bet if you phrase the question as "your brain is destroyed and recreated 5 minutes later", most people outside LW answer no. I guess this might be another instance of brain functions inactive vs lack of ability to have experiences.

In row 8 of the table, P(D) should be replaced by P(~D).