QuestionLet $p$ and $q$ be the following statements. $p$ : The bake sale is on Saturday. $q$ : Ahmad will make cookies. Consider this argument. Premise 1: If the bake sale is on Saturday, then Ahmad will make cookies. Premise 2: The bake sale is on Saturday. Conclusion: Therefore, Ahmad will make cookies. (a) Write the argument in symbolic form.
Premise 1: p $q$ Premise 2: Conclusion: $\square$

Studdy Solution

STEP 1

1. We are given two statements and their symbolic representations.
2. We need to translate the given argument into symbolic logic.
3. The logical connectors involved are implication and conjunction.

STEP 2

1. Translate each premise into symbolic form.
2. Translate the conclusion into symbolic form.

STEP 3

Translate Premise 1 into symbolic form. The premise states: "If the bake sale is on Saturday, then Ahmad will make cookies." In symbolic form, this is represented as:
$p \rightarrow q$

STEP 4

Translate Premise 2 into symbolic form. The premise states: "The bake sale is on Saturday." In symbolic form, this is represented as:
$p$

STEP 5

Translate the conclusion into symbolic form. The conclusion states: "Therefore, Ahmad will make cookies." In symbolic form, this is represented as:
$q$
The argument in symbolic form is:
Premise 1: $p \rightarrow q$ Premise 2: $p$ Conclusion: $q$

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