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McIntyre implicitly takes her earlier self to task for having neglected the procedural aspect of rationality and equated what is rational with what we have most reason to do (McIntyre 2006, p. 289; p. 299).
"People conflate the idea of being rational with being unromantic.
Here I believe the language should be balanced and rational with little emotion towards our opponents.
"We tried to do something very clean, crisp, rational with beautiful proportions," Mr. von Klemperer said.
However, I am prompted to keep calm and recall the wisdom of my year 11 English teacher who assured me,"'you can't be rational with irrational people".
But, like the solution to a riddle, the explanation — rational, with many points between A and B — returns us to the complex world we know.
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This list starts out 1/1, 1/2, 1/3, … and after listing infinitely many positive rationals switches over to the negative rationals, with no first such, finally ending with −1/3, −1/2, −1/1.
There is still a minor obstacle for (Q, ·), the rationals with multiplication, being a group: because the rational number 0 does not have a multiplicative inverse (i.e., there is no x such that ), (Q, ·) is still not a group.
For practical reasons, mainly the lack of an efficient solver over rationals with reified constraints, we use a finite domain solver and therefore only look for integer solutions (whereas solutions are rational).
We cannot sway extremists with rational thought or with our ideas of right and wrong.
Logically, therefore, the last word lay with rational insight, not with any outside divine warrant (see Cartesian circle).
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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