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Topic: Distinguishability of paths of the Infinite Binary tree???
Replies: 69   Last Post: Jan 4, 2013 11:11 PM

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fom

Posts: 1,968
Registered: 12/4/12
Re: Distinguishability of paths of the Infinite Binary tree???
Posted: Dec 26, 2012 4:47 PM
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On 12/26/2012 9:49 AM, WM wrote:

> http://planetmath.org/?op=getobj&from=objects&id=12607


The example is really cute.

I just finished reading through a
great deal of Leibniz. He portrayed
his logic as being oppositely oriented
from that of scholastic thinking. So,
the hierarchy of genera in the two
logics is opposed.

Scholastic logic is extensional, but
Leibniz logic is intensional. Curiously,
he also attributes the principle of
identity of indiscernibles to Thomas
Aquinas. The summary statement was

"an individual is the lowest species"

This may clearly be interpreted along
the lines of Cantor's intersection
theorem with vanishing diameters.

Set theory, itself (along with the
Fregean "extension of a concept"),
is based on extensionality.

So, while I will take a little more
time to weigh your example, it does
reflect precisely a mismatch in
the historical development.









Date Subject Author
12/23/12
Read Distinguishability of paths of the Infinite Binary tree???
Zaljohar@gmail.com
12/24/12
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mueckenh@rz.fh-augsburg.de
12/24/12
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Virgil
12/24/12
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mueckenh@rz.fh-augsburg.de
12/24/12
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Virgil
12/25/12
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mueckenh@rz.fh-augsburg.de
12/25/12
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Virgil
12/26/12
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mueckenh@rz.fh-augsburg.de
12/26/12
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Virgil
12/26/12
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mueckenh@rz.fh-augsburg.de
12/26/12
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Virgil
12/27/12
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mueckenh@rz.fh-augsburg.de
12/27/12
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Virgil
12/28/12
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mueckenh@rz.fh-augsburg.de
12/28/12
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Virgil
12/29/12
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mueckenh@rz.fh-augsburg.de
12/29/12
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Virgil
12/30/12
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fom
12/30/12
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mueckenh@rz.fh-augsburg.de
12/30/12
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fom
12/30/12
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Virgil
12/30/12
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ross.finlayson@gmail.com
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
ross.finlayson@gmail.com
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
ross.finlayson@gmail.com
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
1/4/13
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ross.finlayson@gmail.com
12/30/12
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forbisgaryg@gmail.com
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
ross.finlayson@gmail.com
12/30/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Zaljohar@gmail.com
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Zaljohar@gmail.com
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
gus gassmann
12/26/12
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mueckenh@rz.fh-augsburg.de
12/26/12
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Zaljohar@gmail.com
12/27/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/27/12
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Zaljohar@gmail.com
12/28/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/28/12
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Zaljohar@gmail.com
12/28/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/29/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Zaljohar@gmail.com
12/29/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/29/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/29/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/28/12
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Zaljohar@gmail.com
12/29/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/29/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/27/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
fom
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
fom
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
mueckenh@rz.fh-augsburg.de
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
forbisgaryg@gmail.com
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/26/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
fom
12/27/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
gus gassmann
12/27/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Tanu R.
12/27/12
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mueckenh@rz.fh-augsburg.de
12/27/12
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Tanu R.
12/27/12
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Virgil
12/28/12
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Zaljohar@gmail.com
12/28/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/27/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
fom
12/27/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Virgil
12/24/12
Read Re: Distinguishability of paths of the Infinite Binary tree???
Ki Song

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