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    <title>higher-order logic on Notes On Attention Paid</title>
    <link>https://www.notesonattentionpaid.com/categories/higherorder-logic/</link>
    <description></description>
    
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    <lastBuildDate>Thu, 26 Aug 2021 02:53:08 -0700</lastBuildDate>
    
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      <link>https://www.notesonattentionpaid.com/2021/08/26/bertrand-russell-the.html</link>
      <pubDate>Thu, 26 Aug 2021 02:53:08 -0700</pubDate>
      
      <guid>http://mbkriegh.micro.blog/2021/08/26/bertrand-russell-the.html</guid>
      <description>&lt;p&gt;&lt;strong&gt;Bertrand Russell, The Analysis of Matter&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;… as indicated yesterday, having finished the first chapter in the book, i am using what time i have through Saturday to review and/or deepen my understanding of concepts and definitions…&lt;/p&gt;
&lt;p&gt;… i just finished a wikipedia entry discussing the philosophical definition of a “proposition”… i learn that in logic and linguistics, a proposition is the meaning of a declarative sentence… and that in philosophy, meaning is a non-linguistic entity shared by all sentences with the same meaning…why do we need logic?&lt;/p&gt;
&lt;p&gt;… i move on to a definition and discussion of propositional calculus in Wikipedia, which has me jumping to a definition of first-order logic, or logic that uses quantified variables rather than non-logical objects and sentences that contain variables… &lt;em&gt;there exists x such that x is Socrates and x is a man&lt;/em&gt;&lt;sup id=&#34;fnref:1&#34;&gt;&lt;a href=&#34;#fn:1&#34; class=&#34;footnote-ref&#34; role=&#34;doc-noteref&#34;&gt;1&lt;/a&gt;&lt;/sup&gt;&lt;/p&gt;
&lt;p&gt;… higher-order logic and second-order logic encountered while reading about first-order logic, so i get interested in logic in general, which is defined as: &lt;em&gt;an interdisciplinary field which studies truth and reasoning.&lt;/em&gt;&lt;sup id=&#34;fnref:2&#34;&gt;&lt;a href=&#34;#fn:2&#34; class=&#34;footnote-ref&#34; role=&#34;doc-noteref&#34;&gt;2&lt;/a&gt;&lt;/sup&gt;&lt;/p&gt;
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&lt;p&gt;Wikipedia: &lt;a href=&#34;https://en.wikipedia.org/wiki/First-order_logic&#34;&gt;https://en.wikipedia.org/wiki/First-order_logic&lt;/a&gt;&amp;#160;&lt;a href=&#34;#fnref:1&#34; class=&#34;footnote-backref&#34; role=&#34;doc-backlink&#34;&gt;&amp;#x21a9;&amp;#xfe0e;&lt;/a&gt;&lt;/p&gt;
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&lt;p&gt;Wikipedia: &lt;a href=&#34;https://en.wikipedia.org/wiki/Logic&#34;&gt;https://en.wikipedia.org/wiki/Logic&lt;/a&gt;&amp;#160;&lt;a href=&#34;#fnref:2&#34; class=&#34;footnote-backref&#34; role=&#34;doc-backlink&#34;&gt;&amp;#x21a9;&amp;#xfe0e;&lt;/a&gt;&lt;/p&gt;
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