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Even if the meaning is to some extent clear from "How Aql is different from Qiyas?" but a clear example or two to make clear how this source of fiqh is applied would be very helpful to understand it and this is the goal of this question.

I'm honestly assuming according the only given example that it is more or less part of what sunni scholars may call maslaha or istihsaan or covered in the fiqh rules...

For example:

  • The basic fiqh rule الضرورات تبيح المحضورات "the (forced) necessities allow the (application of) unlawful (things/acts)" based on (2:173) would already cover a solution for that example issue!
  • Assuming this fiqh rule doesn't exist, the hanfis might solve the issue by their osol like trickery and istihssan, the malikis by istihissan and maslaha al mursala and their maqasid considerations, the hanbali also via the maslaha mursala only the shafi'i and dhahiri seem not to have a direct solution in their osol, but that doesn't mean that they wouldn't have one!
Casanova
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Medi1Saif
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    While having absolutely no reference for this, I have the impression that qiyas is a somewhat formal style of using an existing rule and applying it to cases that don't formally fulfill the requirements of the rule, but are "close enough" or can be argued on accepted principles that they should have the same ruling, or at least as strict or lenient a ruling. Aql on the other hand seems significantly more indipendent to me and work from less precise principles. – G. Bach Sep 14 '16 at 12:04
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    @medi Did you read this answer? Does it not help anything? – Thaqalain Jan 18 '17 at 17:18
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    @Honey I've linked that answer already as it doesn't seem to me a satisfactory explanation the single example might be covered by more than one asl of the osol of sunni madhabs! – Medi1Saif Jan 19 '17 at 06:52
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  • I saw your link before, I just wanted your comment on that answer 2. What do you mean by: "the single example might be covered by more than one asl of the osol of sunni madhabs"
  • – Thaqalain Jan 19 '17 at 10:37
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    @Honey the example of a dying person where one needs to steel a car to save a life! – Medi1Saif Jan 19 '17 at 10:41
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    If I understand you correctly, you mean how does aql in shia apply to such situations ie the forced necessities or as a real example of saving a car...Am I right? – Thaqalain Jan 19 '17 at 10:47
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    @Honey yes, but I'd like to have a clear definition and maybe some more examples to make it more clear! – Medi1Saif Jan 19 '17 at 10:48
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    do you want an answer from Shia Imams or Shia scholars? Because some Shia scholars don't exactly say what the Shia Imam says :D – Thaqalain Mar 14 '17 at 13:12
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    @Honey I'd appreciate both as I have no clue so far :) – Medi1Saif Mar 14 '17 at 13:16
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    The bounties seems not to help one receive answers at all these days! – Kilise Jun 22 '17 at 16:04