[Avodah] logic
Lisa Liel via Avodah
avodah at lists.aishdas.org
Thu Nov 17 05:18:59 PST 2016
On 11/17/2016 1:11 PM, Eli Turkel via Avodah wrote:
> R Michael Avraham (RMA) makes 2 similar points
...
> (2) Most things in the world are continuous rather than binary. Today
> there is a field called fuzzy logic to study this.
>
> RMA's favorite example is to define a heap.
> (A) one object is not a heap
> (B) adding an object to a heap can't change it to a heap
The examples you give only exists as artifacts of vague language. Bald
isn't rigorously defined. If it were, we'd be back to excluded middle.
If we define bald as meaning no hair whatsoever, adding a single hair
*does* change someone from bald to not bald. If we define bald as
meaning fewer than 10 hairs, again, adding or subtracting a hair can
only change the person from bald to not-bald or vice versa at the
boundary. Because there /is/ a boundary.
A heap is not rigorously defined. Nor is a crumb. Half a crumb is a
crumb. The only things that aren't binary in the sense you seem to be
using the word are linguistic constructs. Real things have attributes
that can be defined rigorously. Vague language does not equal the thing
being described.
Lisa
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