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"Having C.E.O.'s compensated for weak performance, a no-lose proposition, heads I win, tails I win proposition, flies in the face of what pay-for-performance is supposed to be about".
And suppose that \(A\) is the proposition Heads on toss 1.
Now suppose that \(\mathcal{F}_2\) extends \(\mathcal{F}_1\) by adding the new proposition Heads on toss 1002 and \(\sim_2\) extends \(\sim_1\), so that the new proposition Heads on toss 1002 is considered relevantly similar to each Heads on toss 1, …, Heads on toss 1001.
Thus, we have the following argument: Figure 1: In this figure, we plot the various possible credence functions defined on a proposition Heads and its negation Tails in the unit square.
Figure 2: In this figure, as in Figure 1, we plot the various possible credence functions defined on a proposition Heads and its negation Tails in the unit square.
And suppose that \(\sim_1\) extends \(\sim\), so that the new proposition Heads on toss 1001 is considered relevantly similar to each Heads on toss 1, …, Heads on toss 1000.
Similar(52)
But as of last week, when polls showed the proposition headed for passage, such arguments were moot.
To see this, let us return to our toy example: the propositions Heads on toss 1, …, Heads on toss 1000 are in \(\mathcal{F}\) and they are all relevantly similar according to \(\sim\).
Now, as the legal battle over that ban, Proposition 8, heads toward the Supreme Court, gay and straight Mormons are making increasingly vocal calls for church leaders to reconsider their stance on gay marriage and welcome openly gay congregants back into the church.
Others said that Mr. Brown was not going far enough and that the time had come to confront Proposition 13 head-on by, for example, lifting the property tax cap on commercial properties.
For instance, if our algebra of propositions contains Heads on first toss of coin, Heads on second toss of coin, and Six on first roll of die, we might plausibly say that the first two are relevantly similar, but neither first nor second is relevantly similar to the third.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com