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Irrespective of A, B is always true.

Independent of A, B is always true.

Are these words complete synonyms in this context? Or is there any reason to use one over the other?

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I am not a logician but as I understand it:

  1. B is always true (regardless) irrespective of A.
    States that A in no way impacts on the truth of B.

  2. B is always true independent of A.
    Implies that B might not be true when not independent of A.

That's to say that when A impacts on B, B might not be true.

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  • Wouldn't 2. need to be "B is always true WHEN independent of A" to have the meaning you say it has? Also, in your versions shouldn't there be commas after "true"?
    – MaxD
    Aug 10, 2020 at 0:49
  • @MaxD When would make clear what is implied. Not sure about commas! Aug 10, 2020 at 12:57

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