There's somthing about Trevor
marephraim
htfulcher at comcast.net
Tue Nov 12 21:16:32 UTC 2002
No: HPFGUIDX 46529
jazmyn wrote:
>
> Hard to say what other pets students had. Note only the FIRST YEAR
> letter said 'Students may also bring an owl OR a cat OR a toad'.
MarEphraim comments:
Of course, the question of the "owl or a cat or a toad" in re Ron's
rat and Neville's toad has arisen often (even I have been around
long enough to notice the number of times it gets brought up).
Comment: In Symbolic Logic and the English Philosophy of the last
century (you remember, Betrand Russell et al.) there is a fine
logical/grammatical distinction between a conjunction and a
disjunction.
In a conjunction (It is sunny [p] and the birds are singing [q])
both parts ('p' and 'q') must be true for the conjunction ('p and
q') to be true. This is considered a 'strong' truth requirement.
In a disjunction (It is sunny [p] or it is cloudy [q]) only one of
the parts of the disjunction ('p', 'q') need be true for the whole
disjunction to be true. You can think up examples where both parts
_can_ be true, but onle one _must_ be true.)
Now the interesting thing (to those of us offbeat enough to follow
such things) is that a disjunction can accept any number of
additional alternatives through a rule called addition ('p or q' may
be expanded to be 'p or q or r or s... etc.').
This can be accomplished at will, whereas to add an alternative 'r'
to a conjunction 'p and q' requires a much more stringent
verification of truth. This is because all parts of a conjunction
must be true for validity, while the truth value of any one or more
parts of a disjunction automatically assigns an overall truth value
to the disjunction.
Those of you patient enough (or bemused enough) to have read this
far will see where I'm going with this one: The "Students may also
bring an owl OR a cat OR a toad" statement need not necessarily be
viewed as limiting the pets that students bring to only the listed
species (doesn't Lee Jordan have a tarantula?).
MarEphraim (really needing to slow down on the coffee these days!)
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