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Version: 1
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[Swearing] on your [Law] is a sort of discount version of trying to predictably speak truth under what you claim to be your own adherence to the Algorithm, for people who've never heard of the Algorithm and couldn't begin to do the math about trying to have some sort of logical-counterfactual dependency on their Keepers' making a real oath about that, never mind actually being Keepers themselves.  It's built instead around mere incentives like your [aligment] changing, breaking your tie to your [god] and getting dropped as a [cleric], and depending on circumstances maybe getting your [soul] eaten by [daemons] when you [die].  The person who gave you this language took [oaths] pretty seriously, according to the connotations of the language, and would keep to at least the rigid literal wording of one.

Version: 2
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[Swearing] on your [Law] is a sort of discount version of trying to predictably speak truth under what you claim to be your own adherence to the Algorithm, for people who've never heard of the Algorithm and couldn't begin to do the math about trying to have some sort of logical-counterfactual dependency on their Keepers' making a real oath about that, never mind actually being Keepers themselves.  It's built instead around mere incentives like your [aligment] changing.

Version: 3
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[Swearing] on your [Law] is a sort of discount version of trying to predictably speak truth under what you claim to be your own adherence to the Algorithm, for people who've never heard of the Algorithm and couldn't begin to do the math about trying to have some sort of logical-counterfactual dependency on their Keepers' making a real oath about that, never mind actually being Keepers themselves.  It's built instead around mere incentives like your [aligment] changing.  That said, the word has a great deal of gravity and even some fear bound up in it; the speaker of this language took [oaths] pretty seriously.