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Question 7:

Using a Venn diagram, determine whether the following standard-form categorical syllogism is valid from the Boolean standpoint or invalid.

All currently living dinosaurs are giant reptiles.
All giant reptiles are ectothermic animals.
Therefore, some ectothermic animals are currently living dinosaurs.

A. Valid from the Boolean standpoint
B. Invalid



Answer :

GinnyAnswer

Final answer:

The syllogism is valid from the Boolean standpoint as the conclusion aligns with the premises in the Venn diagram.


Explanation:

Valid from the Boolean standpoint


To determine the validity of the syllogism, we analyze the relationship between the categories in a Venn diagram. In this case:



  2. All currently living dinosaurs are giant reptiles - represented as D → R

  4. All giant reptiles are ectothermic animals - represented as R → E

  6. Therefore, some ectothermic animals are currently living dinosaurs - represented as E → D


The conclusion's Venn diagram fits within the premises, making it valid from the Boolean standpoint.


Learn more about Categorical Syllogisms here:

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