Symbolic Arguments

[mochaeris]

Directions: (a) Translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

Question: If I can get my child to preschool by 8:45 am., then I can take the 9:00 am. class. If I can take the 9:00 am. class, then I can be done by 2:00 pm.

.
. . If I can get my child to preschool by 8:45 am., then I can be done by 2:00 pm.






Thank you for the help!
Monique
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[pka]

Directions: (a) Translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.
Question: If I can get my child to preschool by 8:45 am., then I can take the 9:00 am. class. If I can take the 9:00 am. class, then I can be done by 2:00 pm.

.
. . If I can get my child to preschool by 8:45 am., then I can be done by 2:00 pm.​

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I am not sure what to say. This the most basic valid argument form.
It is known as Hypothetical Syllogism .

\(\displaystyle \begin{gathered}\left[ {\left( {A \to B} \right) \wedge \left( {B \to C} \right)} \right] \\\therefore \left( {A \to C} \right) \\ \end{gathered}\)​