Consider the following propositions: p: Dolphins eat sardines. q: Cristina does not like dolphins. The composite proposition in natural language is...

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Consider the following propositions: p: Dolphins eat sardines. q: Cristina does not like dolphins. The composite proposition in natural language is: It is false that dolphins eat sardines or that Cristina likes dolphins. Cristina does not like dolphins or dolphins do not eat sardines. Cristina likes dolphins or dolphins eat sardines. It is false that dolphins eat sardines and that Cristina does not like dolphins. Cristina likes dolphins and dolphins eat sardines. Date 12/13/2023 11:49:43 Explanation: First, let's analyze the proposition (pA~ g) means the negation of the conjunction (logical AND) of This can be simplified using De Morgan's laws for negation of a conjunction: Now, let's substitute the propositions eq: ^p: Dolphins do not eat sardines. ~q: Cristina likes dolphins. Therefore, the proposition is equivalent to 'Cristina does not like dolphins or dolphins do not eat sardines'.

a. It is false that dolphins eat sardines or that Cristina likes dolphins.
b. Cristina does not like dolphins or dolphins do not eat sardines.
c. Cristina likes dolphins or dolphins eat sardines.
d. It is false that dolphins eat sardines and that Cristina does not like dolphins.
e. Cristina likes dolphins and dolphins eat sardines.

Ed · Answer

A proposição composta em linguagem natural é: "Cristina não gosta de golfinhos ou golfinhos não comem sardinhas". Portanto, a alternativa correta é a letra B.

Consider the following propositions: p: Dolphins eat sardines. q: Cristina does not like dolphins. The composite proposition in natural language is...

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