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Haydn's listeners were weaned on a well-ordered acoustic world, with harmonic progressions and musical syntax following in certain expected patterns.
(The real numbers are not well-ordered in their usual order: just consider an open interval. Meanwhile, N is the simplest infinite well-ordered set).
Ordinal numbers are then introduced as the order types of well-ordered sets.
Also, every well-ordered set is isomorphic to a unique ordinal, called its order-type.
Generally, English teams are less well-ordered.
What would a sane, well-ordered art market look like?
His Masada pieces are often tidy, well-ordered, alluring.
She recalls the bliss of visiting a well-ordered home.
Does any of this suggest a well-ordered universe?
Then was the world of such folk well-ordered".
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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