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There are different kinds of formal logic: propositional, first order, second order, modal, fuzzy, .... What kinds of formal logic have applications in law? Thanks.

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    None whatsoever. You might find a passing reference to Aristotelian syllogisms.
    – user6726
    Jun 10, 2023 at 14:33
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    I’m voting to close this question because it belongs on philosophy.stackexchange.com Jun 11, 2023 at 0:35
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    @BlueDogRanch I think this is a perfect question about law. It is actually somewhat a disturbing revelation that logic has no place in law — contrary to what many lay people may think.
    – Greendrake
    Jun 12, 2023 at 5:29

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The Life of the Law Has Not Been Logic; It Has Been Experience.

-- Oliver Wendell Holmes, Jr.

Basically none.

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The common law is tolerant of much illogicality, especially on the surface; but no system of law can be workable if it has not got logic at the root of it.

(Lord Devlin, Hedley Byrne & Co., Ltd v Heller & Partners [1964] AC 465, 516)

To think like a lawyer, you need to use three types of logical reasoning:

However, the standard required is not rigorous logical proof, it is reasonableness. That is, on the evidence provided, is it open to a reasonable person to draw the conclusions that the decision maker made.

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The words Blackacre and Greenacre and the like, used in the way lawyers use them, are examples of what mathematical logicians call "bound variables."

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  • "I wonder whether there may be some reason for the downvotes here other than ignorance of logic among those learned in law? Can someone explain?" I did not downvote, but I am explaining some issues with this answer. Jun 16, 2023 at 13:08

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