- From: Volker Sorge <volker.sorge@gmail.com>
- Date: Mon, 10 Sep 2018 21:33:20 +0100
- To: "Pedersen, John - Hoboken" <jpederse@wiley.com>
- Cc: Neil Soiffer <soiffer@alum.mit.edu>, Peter Krautzberger <peter@krautzource.com>, mathonweb <public-mathonwebpages@w3.org>
- Message-ID: <CAE5-06QxpLtaBaaGcF+b-u5LJya8TvZy8xKNVRaRdUJg9DVRBA@mail.gmail.com>
I might be wrong then. All I can find quickly is Geoff Sutcliffe's page (some way down): http://www.cs.miami.edu/home/geoff/Courses/COMP6210-10M/Content/Propositional.shtml I also seem to recall from reading Frege that he does not define an order. But it's been a while since I've read Begriffsschrift. Anyway, I generally teach my students to better check the definitions before assuming an order on those two connectives with any author. (And I require them to use parentheses.) Best, Volker On Mon, 10 Sep 2018 at 21:20, Pedersen, John <jpederse@wiley.com> wrote: > Although it’s been a while, I did teach undergraduate and graduate-level > logic and algebra for a number of years and I have the same understanding > as Neil that in propositional, first, and higher-level logics, conjunction > has priority over disjunction. There are numerous classic texts where this > is given as the rule. Can you point to any text or other source where the > order is stated to be different? > > > > *From:* Volker Sorge <volker.sorge@gmail.com> > *Sent:* Monday, September 10, 2018 3:51 PM > *To:* Neil Soiffer <soiffer@alum.mit.edu> > *Cc:* Peter Krautzberger <peter@krautzource.com>; mathonweb < > public-mathonwebpages@w3.org> > *Subject:* Re: [mathonweb] reminder: meetings this week > > > > I am confused; I don't understand your point. I was explicitly referring > to classical logic. > > Of course you can define a precedence order. Programming languages often > do following Boolean algebra habits, so do often authors of logic text > books. But even then the order between and/or can depend on the author. > > > > > > > > On Mon, 10 Sep 2018 at 19:10, Neil Soiffer <soiffer@alum.mit.edu> wrote: > > I disagree about there not being an accepted precedence for * and* vs *or*. > The precedence in programming languages that I know all have *and *with a > higher precedence than *or*. In MathML, the default operator table does > so also. The other notation used for logical and/or is ·/+ (as in a ·b + c > or ab+c) and these again use the convention that the "times" operator has a > higher precedence than "plus" for and/or. > > > > It may be that some books/articles do it the other way around, but I'd > like to see some examples proving me wrong. Or if they are considered equal > precedence, again, I'd like to see some examples where this is true (as > opposed to just using parens to make it clearer). > > > > Neil > > > > > > On Mon, Sep 10, 2018 at 10:55 AM, Volker Sorge <volker.sorge@gmail.com> > wrote: > > There is no precedence order for logical and/or ∧/∨. > > Precedence in classical logic is: negation over conjunction/disjunction > over (material) implication over equivalence. > > You always need to disambiguate order of and/or. > > Volker > > > > On Mon, 10 Sep 2018 at 18:33, Neil Soiffer <soiffer@alum.mit.edu> wrote: > > Apologies for missing the meeting today -- I don't seem to have the > meetings properly entered into my calendar and due to the time difference, > I don't see Peter's reminders until after I start work. > > > > I have a question about what someone wrote on the Wiki: > > a∧b∨c it is not clear the order precedence. Usually ∧ has precedence > over ∨, but not always. > > > > Can someone clarify (on the wiki) *when* it the normal precedence doesn't > hold. What surprised me when I first looked into notations and precedence > (20 years ago -- yikes!) was that although a symbols might have many > different meanings, the precedence relationships it has didn't seem to > change. I attributed that to people trying to avoid confusion when using > familiar notation for new functionality. Having '∨' have a different > precedence relative to '∧' in some cases seems very strange to me. But > mathematicians do strange things at times (especially logicians ;-). > > > > Neil > > > > > > > <http://www.avg.com/email-signature?utm_medium=email&utm_source=link&utm_campaign=sig-email&utm_content=webmail> > > Virus-free. www.avg.com > <http://www.avg.com/email-signature?utm_medium=email&utm_source=link&utm_campaign=sig-email&utm_content=webmail> > > > > On Mon, Sep 10, 2018 at 12:36 AM, Peter Krautzberger < > peter@krautzource.com> wrote: > > Hi everyone, > > > > Just a quick reminder for the CG meetings this week. > > > > - a11y TF, Monday, Sept 10, 11am Eastern > > - css TF, Monday, Sept 10, 12pm Eastern > > - no CG meeting this week > > > > Best, > > Peter. > > > > > >
Received on Monday, 10 September 2018 20:33:55 UTC