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Might Woodger's and Williams' respective axiomatic systems simply lack the power and conceptual resources to axiomatically reconstruct a mathematical edifice actually cast in terms of probability theory?
It is worth noting that algebraic QFT is generally formulated axiomatically, and that it is just as deserving of the name "axiomatic" QFT.
Well, here's the essential history of multitasking: it's introduced as an attempt to make early computers slightly less rubbish; someone applies the concept to human behaviour; someone else says, "You know, that's what women do"; it thus becomes fixed in the popular mind as axiomatically desirable, and if you say different, that reveals you fear progress and beat your wife.
Axiomatically, fortysomething Radiohead are much better than the twentysomething Vaccines.
How do you unlock a potential future that axiomatically excludes Argentina?
These concrete groups soon gave rise to abstract groups, which were described axiomatically.
A change in structure is not axiomatically the path to school improvement.
Nor should we axiomatically accept that the release of this information is harmful.
Often it's stated axiomatically, as in, "Good wines must be balanced".
So what was good for business was axiomatically good for society.
In this world the greatest artist will also be, almost axiomatically, the biggest fraud.
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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