*To*: cl-isabelle-users at lists.cam.ac.uk*Subject*: Re: [isabelle] Thanks Nitpick for actually answering a former, simple question*From*: Gottfried Barrow <gottfried.barrow at gmx.com>*Date*: Wed, 12 Sep 2012 10:05:05 -0500*In-reply-to*: <36A0B472-77E0-4C31-9673-3C79292CD380@cam.ac.uk>*References*: <504F99E9.8060608@gmx.com> <36A0B472-77E0-4C31-9673-3C79292CD380@cam.ac.uk>*User-agent*: Mozilla/5.0 (Windows NT 6.1; WOW64; rv:11.0) Gecko/20120312 Thunderbird/11.0

On 9/11/2012 3:55 PM, Lawrence Paulson wrote:

I really don't understand what you mean. Bound variables are not logical statements. And whether a variable is free or bound has no bearing on whether or not it can appear as a function's argument.

Your question is about logic, not Isabelle. ...It is a convention in logic that any theorem involving free variables denotes the "universal closure" of that formula...

Regards, GB

On 11 Sep 2012, at 21:07, Gottfried Barrow<gottfried.barrow at gmx.com> wrote:Like two months ago, I specifically asked, in a fairly precise way, "What's the difference between free variables and universally quantified variables, and is there a reason I shouldn't use free variables?" I will now give you a reasonably close, informal, one sentence answer. ANSWER: A universally quantified bound variable is a logical statement, where a free variable is an argument to a function.

**References**:**[isabelle] Thanks Nitpick for actually answering a former, simple question***From:*Gottfried Barrow

**Re: [isabelle] Thanks Nitpick for actually answering a former, simple question***From:*Lawrence Paulson

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