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<div class="moz-cite-prefix">On 12/16/2017 2:20 PM, Pete Olcott
wrote:<br>
</div>
<blockquote type="cite"
cite="mid:uLadndVfI9WfHajHnZ2dnUU7-***@giganews.com">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<div class="moz-cite-prefix">On 12/16/2017 11:22 AM, DKleinecke
wrote:<br>
</div>
<blockquote type="cite"
cite="mid:7870dfbd-612d-4f02-a68e-***@googlegroups.com">
<pre wrap="">On Saturday, December 16, 2017 at 7:17:39 AM UTC-8, Pete Olcott wrote:
</pre>
<blockquote type="cite">
<pre wrap="">On 12/14/2017 11:07 AM, DKleinecke
wrote:
On Wednesday, December 13, 2017 at 8:43:27 PM UTC-8, Pete Olcott wrote:
It is the case that there is a preexisting natural (inheritance
hierarchy based) order to the set of all knowledge.
That proposition has not been "proven" much less plausibly
argued for.
It is a hypothesis, I will strive to state it in more precise
terms.
Now that I have stated it in precise terms I cannot publish
these precise terms
in a public forum because this aspect of my work is best protected
as a trade secret.
I still want to be able to partner with Doug Lenat to complete his
project
and key details of the mathematics of semantics form important
prerequisites to
fully automating the process of the population of enormous knowledge
ontologies.
<b> Doug brought up the idea of deep learning being applied to his work
in an email to me with this link:
</b>
<a class="moz-txt-link-freetext" href="https://www.technologyreview.com/s/602094/ais-language-problem/" moz-do-not-send="true">https://www.technologyreview.com/s/602094/ais-language-problem/</a>
</pre>
</blockquote>
<pre wrap="">I feel sure that Lenat will not be so foolish.
</pre>
</blockquote>
<br>
So foolish to suggest the possibility that deep learning might be
applied to formalized natural language? <br>
<b>Here are his exact words cut-and-paste from his email: </b><br>
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<![endif]--><b> </b><br>
Thanks, Pete.<br>
<br>
Reading <a
href="https://www.technologyreview.com/s/602094/ais-language-problem/"
target="_blank" moz-do-not-send="true"><span
style="font-size:11.0pt">https://www.technologyreview.com/s/602094/ais-language-problem/</span></a>
e.g., it's disappointing that these folks -- who know better --
are clinging to pattern-formation technologies to provide the
whole solution to AI, instead of HALF the solution. <br>
<br>
</blockquote>
<b><br>
<font size="+2">Minimal Type Theory simply expresses semantic
logical entailment syntactically<br>
</font><br>
I had to enhance the way that predicate logic works by creating an
{assign alias name} operator:</b><br>
<br>
LHS is assigned as an alias name for the RHS<br>
<b><span style="background: #ffff00">LHS ≡ RHS</span></b><br>
The LHS is <i><b>logically equivalent to </b></i>the RHS <i><b>Because
the LHS is merely an alias name </b></i>for the RHS<br>
<br>
This is the Truth predicate that Tarski "proved" is impossible in
his undefinability theorem: <span style="background: #ffff00"></span><br>
<span style="background: #ffff00">∀<b>X True(X)</b></span><b> ≡ (∃Γ
⊆ MTT Provable(Γ, X)) </b>// Minimal Type Theory <br>
<br>
<font size="+1">If we take this <b><span style="background:
#ffff00">propositional logic expression: (X ∧ Y) → Z </span></b></font><br>
<font size="+1"><b><span style="background: #ffff00">plugged into
the above MTT Truth predicate</span></b><b> </b>we get this
MTT expression</font><br>
<font size="+1"><b><span style="background: #ffff00">True(Z) ≡ (
Provable( {X,Y}, Z) )</span></b></font><br>
<font size="+1"><b><span style="background: #ffff00"></span></b></font><br>
<a class="moz-txt-link-freetext"
href="https://www.researchgate.net/publication/315367846_Minimal_Type_Theory_MTT">https://www.researchgate.net/publication/315367846_Minimal_Type_Theory_MTT</a>
<br>
<br>
<a class="moz-txt-link-freetext"
href="https://www.researchgate.net/publication/317953772_Provability_with_Minimal_Type_Theory">https://www.researchgate.net/publication/317953772_Provability_with_Minimal_Type_Theory</a><br>
<br>
Copyright 2017 Pete Olcott <br>
<br>
<div class="moz-signature">-- <br>
<meta charset="UTF-8">
<b> Γ ⊢<sub><font style="font-size:8pt" size="1">FS</font></sub>
A ↔ ∃Γ ⊆ FS Provable(Γ, A)</b>
// MTT notational conventions <br>
<b>∀X True(X) ≡ ∃Γ ⊆ MTT Provable(Γ, X) </b> // MTT Truth
Predicate </div>
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