On 7/7/2011 9:29 PM, Ali Hashemi wrote:
> The rationale behind the icon is that it is a Hasse diagram for a
> Boolean lattice. (01)
But why do people use the term "Hasse diagram"? (02)
From Wikipedia: (03)
> Hasse diagrams are named after Helmut Hasse (1898–1979); according
> to Birkhoff (1948), they are so-called because of the effective
> use Hasse made of them. However, Hasse was not the first to use
> these diagrams; they appear, e.g., in Vogt (1895). (04)
The convention of representing a partial order by placing the
more general terms above the more specialized ones was used
by Porphyry in the 3rd century AD. That's about 1600 years
before Vogt. Furthermore, every textbook on Aristotelian
logic from the middle ages to the early 20th century used
that convention. Following is a typical example: (05)
http://www.jfsowa.com/figs/porphyry.gif (06)
Perhaps Birkhoff never studied Aristotelian logic,
but Vogt surely did. (07)
John (08)
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