I wouldn't go so far as to say you invented it, but reinvented seems appropriate.
Can you point to someone else who invented it before me? 'Reinvented' implies 'invented' in any case.
One thing Dalliard mentions is that the 'g' derived from different studies are 'statistically indistinguishable'. What's the technical content of this statement?
There is a test to see how similar two factors are. When that test gives results in the >.95 area, the factors are usually taken to be indistinguishable. It's called congruence coefficients. See e.g. Jensen, Arthur R., and Li-Jen Weng. "What is a good g?." Intelligence 18.3 (1994): 231-258.
Asking "What happened before the Big Bang?" is revealed as a wrong question. There is no "before"; a "before" would be outside the configuration space. There was never a pre-existing emptiness into which our universe exploded. There is just this timeless mathematical object, time existing within it; and the object has a natural boundary at the Big Bang. You cannot ask "When did this mathematical object come into existence?" because there is no t outside it.
This has been true of the standard (FRW) big bang models since, what, the 1920s?
It's called a loaded question. http://www.fallacyfiles.org/loadques.html
I invented a logic that can deal with questions and answers. It allows one to formalize questions with an adequately expanded predicate logic. Here's a formalization of the question:
(∃x)(∃t1)(∃t2)(BBHappenedAt[t1]∧HappenedAt[x,t2]∧Before[t2,t1])∧(x=?)
English: There is a thing, x, there are two points of time, t1 and t2, big bang happened at time t1, and x happened at time t2, and t2 is before t1, and what is x?
But if the empirical claim holds, which it does AFAIK, that BB was the first event, i.e. no prior events, then the question is false. Whatever has a false implication is itself false, or whatever is inconsistent with a truth is false.
I know a lot of physics students and some of them teach high school physics for money, and I asked them how they deal with the question. One of them said that he just gives them an analogy, it goes like this:
What is north of the north pole?
Formalized:
(∃x)(IsNorthOf[x,n])∧(x=?)
n = north pole
EN: There is a location such that it is north of the north pole, and what is it?
but we know that there is nothing north of the north pole. Because per definition it is the northernmost spot, i.e.:
(∃x)¬(∃y)(IsNorthOf[y,x]∧x=n)
EN: There is a location, x, and there isn't a location, y, such that y is north of x, and x is identical to the north pole. That is the definition formally speaking.
The question then is similarly false, because it has a false implication, or equivalently, is inconsistent with a truth (in this case a necessary truth, not a contingent).
Hope this helps with similar questions, e.g. "Why is there something rather than nothing?" (implying there is a reason/explanation, which I see no reason to accept).
That's for experimental statistical reports. Trying to do math runs into a different set of dangers.
You can easily beat "Most published research findings are false" by reporting Bayesian likelihood ratios instead of "statistical significance", or even just keeping statistical significance and demanding p < .001 instead of the ludicrous p < .05. It should only take <2.5 times as many subjects to detect a real effect at p < .001 instead of p < .05 and the proportion of false findings would go way down immediately. That's what current grantmakers and journals would ask for if they cared.
I have made a habit out of ignoring p<.05 values when they are reported, unless its a special case where getting more subjects is too difficult or impossible.* I normally go with p<0.01 results unless its very easy to gather more subjects, in which case going with p<0.001 or lower is good.
- For those cases, one can rely on repeated measurements over time of the same subjects over time. For instance, when comparing cross-country scores where the number of subjects is maxed out at 100-200. E.g. in The Spirit Level (book).
Way too many coments to reed, but..
"We are even more likely to marry someone with a similar-sounding name.15"
Perhaps not. I googled it and found this: http://faculty.chicagobooth.edu/workshops/marketing/archive/sp10/Spurious20100424.pdf
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Nothing as formal as a notation, but a standard reply of an expert to a novice's question "What happened before the Big Bang?" is "Why do you assume that there must [always] be a "before"?" is basically the same thing.
Yes, but it is not a formal system, and it's a wonder no one else (afaik) did a formal system for questions and answers.