By MaiKro, in 'English to Latin Translation', Jan 8, 2019.
Ah, interesting; I wasn't aware of that idiom, but it makes sense.
I wouldn't object to scribo in the sense of "engaging in writing" without specifying what (though it still remains transitive in a way; the object is just not mentioned).
Puto, on the other hand, doesn't commonly* mean "to engage in thinking/reflexion". It means thinking a particular thing, thinking such and such. Even in the event that what the person was thinking wasn't explicitly stated, it would still usually* mean holding a certain opinion or belief, thinking or imagining that something is the case.
*There might be some exception to be found somewhere. You never know. What I know is that puto in the sense of engaging in reflexion isn't common usage.
Perhaps somewhere, but given your near-photographic memory and knowledge of the canon, I think we can safely say that even if it did appear somewhere, it would be viewed by most Roman authors as non-standard and probably wrong.
"Question Everything" was one of the 1st ever phrases that I had translated for me on this forum a while back. MaiKro, if you're interested in options other than exige omnia, then a good alternative translation for it would be what was provided for me, which was in omnia inquire (meaning "Inquire Into Everything").
I also had "Think For Yourself" translated for me on this forum a while back as well. I had that translated for me as ipse cogita, so I third this translation.
Thanks for the extended discussion. I think the OP doesn't so much want "Engage in your own reflections" as much as "Come to your own conclusions / judgments / reckonings." And I wonder if cogitare adequately suggests that latter idea.
I wouldn't find it strange to hear an open-ended motto like "You gotta have hope." Sperandum tibi est. Or "Believe!" as in The Polar Express. Credendum est.
That would be something like ipse iudica.
Thank you all for the discussion.
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