[FRIAM] Dear Long Suffering Colleagues
glen
gepropella at gmail.com
Mon Dec 20 14:44:08 EST 2021
I resisted this earlier because it seems like you want to avoid learning math. But, it seems to me that "screening off" is just a special (and less useful) example of what's called an "articulation point" (or cut point) in graphs. https://mathworld.wolfram.com/ArticulationVertex.html
Maybe if you replaced all the arrows with lines, the concept would be more clear?
On 12/20/21 10:41, glen wrote:
> Taken in reverse order:
>
> 3) Yes, with A ⇒ B ⇒ C, A is behind the screen we call B. But notice that with A ⇐ B ⇐ C, B still screens off C. Flipping the arrows is one way to permute the sentence. Another way to permute the sentence is: C ⇒ B ⇒ A. Instead of flipping the arrows, we flip the sentence ... I suppose like the converse. The term "screening off" is a meta-sentence. It's a sentence about sentences.
>
> As long as there is only one path from C to A or from A to C, and that path is mediated by the medium of B, then A and C are screened off by B.
>
> 2) Yes, it's unfortunate that we use "causal" in the way we do. Think of that word as *ambiguous* and the way Sober uses it as a jargonal word that is unrelated to English or other natural languages. (It's not. But it's best to think that way.)
>
> 1) I disagree. People write all sorts of weird sh¡t. ... like poetry. Who writes that stuff? What the hell are they doing that for? Just confuse us? Pfft.
>
> On 12/20/21 10:27, thompnickson2 at gmail.com wrote:
>> My first objection is rhetorical. You don't write an abstract about collisions to introduce a paper about forks, not, at least, without explaining yourself somewhere in the article.
>>
>>
>> Second, as the "formula" for screening off, with all it's t1's and t2's and t3's, would suggest that order of events is crucial for screening off.
>>
>>
>> “Pr(R at t1 | I at t2 ) = Pr(R at t1 | I at t2 & S at t1 )”
>>
>>
>> I have been trying to come up with a verbal version of this expression, a project which bores the mathematicians in the group because, for them, the expressions is just the meaning of the concept, and no words are necessary. But I hope that as a person who lives in both worlds, you might comment on it.
>>
>>
>> Screening off means, where A==>B==>C, A has no effect on C other than its effect via B
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