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Enhancing Logical Arguments: Term Reduction Techniques

Explore ways to reduce the number of terms in categorical syllogisms using Conversion, Obversion, and Contraposition. Learn how to simplify arguments and improve logical clarity with practical examples. Test your comprehension using Venn diagrams or the 5 rules method.

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Enhancing Logical Arguments: Term Reduction Techniques

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  1. 5 Categorical Syllogisms 5.4 Reducing the Number of Terms

  2. Reducing the Number of Terms This section is really just about using Conversion, Obversion, and Contraposition to get arguments into standard form. Let’s review what these operations work on: Conversion (E and I) Obversion (A, E, I, and O) Contraposition (A and O)

  3. Reducing the Number of Terms All P are non-W Some E are W Some non-P are not non-E How many terms are there? ____ How many can there be in a Standard Form Categorical Syllogism? ____ How can we fix the argument? ____

  4. Reducing the Number of Terms On premise one, what operation will result in a logically equivalent form, while reducing the number of terms in the argument?

  5. Reducing the Number of Terms All P are non-W --- obversion ---> No P are W Cool. How about the conclusion, Some non-P are not non-E ? What would get rid of the complexity?

  6. Reducing the Number of Terms Some non-P are not non-E --- Contraposition ---> Some E are not P So, putting the argument back together, All P are non-W Some E are W Some non-P are not non-E Obversion  Contraposition  No P are W Some E are W Some E are not P Test this argument using Venn or 5 Rules

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