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Topic: Most theorems in Euclidean geometry are IFF theorems.
Replies: 11   Last Post: Sep 13, 2013 1:32 PM

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Peter Percival

Posts: 1,370
Registered: 10/25/10
Re: Most theorems in Euclidean geometry are IFF theorems.
Posted: Sep 5, 2013 5:35 AM
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Lite Beta wrote:
> Is there a reason why most theorems in Euclidean geometry are IFF theorems?

Here is an uninteresting and unsatisfying fact:

(if A then B) iff ((A & B) iff A),

so, to every if-then statement corresponds an iff statement of equal
truth value.

--
Sorrow in all lands, and grievous omens.
Great anger in the dragon of the hills,
And silent now the earth's green oracles
That will not speak again of innocence.
David Sutton -- Geomancies



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