I have to put the following arguments in standard form and wasn't sure if I was doing this correctly...

1. John didn't come home smiling, since if John got the job he came home smiling. But he didn't get the job.

so I wrote:

If John got the job, then he came home smiling but he didn't get the job

�ˆ John didn't come home smiling

To put the given arguments in standard form, you need to break them down into simple and compound statements. Here's how you can do it step by step:

1. Identify the main conclusion or statement: In this case, the main statement is "John didn't come home smiling."

2. Identify the supporting reasons or premises: In the given argument, there is one supporting reason or premise: "If John got the job, then he came home smiling, but he didn't get the job."

3. Reorganize the premises and conclusion in a logical order: The premises should come before the conclusion.

Using the information from step 3, you can rewrite the argument in standard form:

Premise: If John got the job, then he came home smiling.
Premise: But he didn't get the job.
Conclusion: John didn't come home smiling.

So, the standard form of the given argument is: "If John got the job, then he came home smiling. But he didn't get the job. Therefore, John didn't come home smiling."