Re: General semantics
From: paul c <toledobythesea_at_oohay.ac>
Date: Wed, 19 May 2010 23:56:07 GMT
Message-ID: <rU_In.4244$Z6.293_at_edtnps82>
>
> I did some checking and found http://fair-use.org/bertrand-russell/the-principles-of-mathematics/s27,
> from which I snip and paste liberally:
>
> "Peirce and Schröder have realized the great importance of the
> subject ... their method suffers technically ... from the fact that
> they regard a relation essentially as a class of couples, thus
> requiring elaborate formulae of summation for dealing with single
> relations. ... it was certainly from the opposite philosophical
> belief, which I derived from my friend Mr G. E. Moore, that I was led
> to a different formal treatment of relations."
>
> Am I correct in thinking that Russell's 'single relations' refer to
> unary relations? Although I didn't follow up all the references, some
> further checking makes it seem as if Peirce first developed the idea.
> According to http://en.wikipedia.org/wiki/Charles_Sanders_Peirce#Mathematics_of_logic,
> Codd studied under Burks who strongly advocated the ideas of Peirce,
> so it seems likely that Codd would build on that foundation.
> ...
Date: Wed, 19 May 2010 23:56:07 GMT
Message-ID: <rU_In.4244$Z6.293_at_edtnps82>
Nilone wrote:
> On May 19, 5:12 pm, paul c <toledobythe..._at_oohay.ac> wrote:
>> Eg., I'd be curious as to who first talked about unary relations, which >> seem an essential part of Codd's breakthrough. Seems to me that >> anything 'new' needs to be compared to what Codd wrote (though >> apparently he had such a practical bent that he saw no need for nullary >> relations).
>
> I did some checking and found http://fair-use.org/bertrand-russell/the-principles-of-mathematics/s27,
> from which I snip and paste liberally:
>
> "Peirce and Schröder have realized the great importance of the
> subject ... their method suffers technically ... from the fact that
> they regard a relation essentially as a class of couples, thus
> requiring elaborate formulae of summation for dealing with single
> relations. ... it was certainly from the opposite philosophical
> belief, which I derived from my friend Mr G. E. Moore, that I was led
> to a different formal treatment of relations."
>
> Am I correct in thinking that Russell's 'single relations' refer to
> unary relations? Although I didn't follow up all the references, some
> further checking makes it seem as if Peirce first developed the idea.
> According to http://en.wikipedia.org/wiki/Charles_Sanders_Peirce#Mathematics_of_logic,
> Codd studied under Burks who strongly advocated the ideas of Peirce,
> so it seems likely that Codd would build on that foundation.
> ...