L1 W        (L2)

roll

next exam: Two weeks

Note: change to "universe of discourse" from 'UD'. But I may have changed too much.

 

 

 

 

 

I. Syntax and Symbolization Review

  1. Syntax:




































  2. Symbolization Review










  3. Homework Questions?

 

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III. Symbolizations with Basic Forms for categorical logic.

  1. As symbolizations get a little harder, we'll need to fit them into a couple of basic forms. Here's the first form.







































































































  2. Problems













  3. The Second Basic Form




















































  4. More Problems

 

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III. Semantics

  1. Interpretations



























































































  2. Problems





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  3. Consider the following interpetation.

    Universe of Discourse: Positive Integers, 1,2,3,4,...

    Gxy: x is greater than y

    Prove that (*) '(^x)(%y)Gyx' is true on the given interpretation.      Fill in...





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    L2

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  4. Semantics Review
    1. Interpretations




































    2. So, an interpretation gives a truth value assignment for PL. For (*) '(^x)(Mx>Gx)',




















































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  5. More Semantical Definitions


























  6. Problems





















































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IV. Categorical Logic

  1. Traditional categorical logic (the logic which relates categories or one-place predicates) involves two further basic forms
























    Note
















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  2. Problems






















V. Complex Symbolizations

Here are but a few of the many quantifier complications you will in natural language. Read about more in the tutorials and reference!

  1. Quantifier Type Complications


    • Each




















    • A































    • Any






































  2. Multiple Quantification















    But,




















  3. Complex Subjects and Predicates




























  4. Problems...












  5. Something more fun...












  6. Homework
  7.