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P's strategy for grounding his assertion that α holds can be paraphrased thus: "I don't have my own justification, but whatever grounds you assumed when you asserted α are good enough for me".
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When you assert that woman has been "a brood animal for the masculine civilizations of the world," you may cause controversy, but you are not beating around the bush.
When you assert (18), you don't have the feeling that you are committing yourself ontologically to a collection or to any other kind of "set-like" object.
Nor do you have any such feeling when you assert the Geach-Kaplan sentence or any other translation of a sentence of PFO or PFO+ into English.
What happens when you assert yourself from a loving place?
When you assert that the security state is becoming a problem, don't cite a man warning against a fascist occupation of the United States in the 1980s.
When you begin asserting your independence by following your core values, your friend may be surprised or angered.
As such, you may find that the other person won't take you seriously at first, when you begin asserting your boundaries.
This is, of course, something best done when you have re-asserted the right to be your own worst critics.
"Just when you want to assert yourself and have some good confident 'self-talk' going," she wrote, "you 'forget' some important detail or realize you've asked your spouse or friend the same question three or four times and they are tired of giving the answer over and over!
However, its usefulness lies in the fact that doing something life-giving releases endorphins, which cause you to feel better, during a time when you need to assert control over your emotions.
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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