Question
upstudy study bank question image url

Let \( p \) and \( q \) be the following statements. \( p \) : Reuben is singing. \( q \) : Charmaine is in photography class. Consider this argument. Premise 1: If Reuben is singing, then Charmaine is in photography class. Premise 2: Charmaine is in photography class. Conclusion: Therefore, Reuben is singing. (a) Write the argument in symbolic form. Premise \( 2: \) Try one last time \( p \rightarrow q \)

Ask by Hodgson Grant. in the United States
Feb 25,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The argument in symbolic form is: 1. \( p \rightarrow q \) (If Reuben is singing, then Charmaine is in photography class.) 2. \( q \) (Charmaine is in photography class.) 3. Therefore, \( p \) (Reuben is singing.)

Solution

To express the argument in symbolic form, we will use the following symbols: - Let \( p \) represent "Reuben is singing." - Let \( q \) represent "Charmaine is in photography class." Now, we can write the premises and conclusion as follows: 1. **Premise 1**: If Reuben is singing, then Charmaine is in photography class. - Symbolically: \( p \rightarrow q \) 2. **Premise 2**: Charmaine is in photography class. - Symbolically: \( q \) 3. **Conclusion**: Therefore, Reuben is singing. - Symbolically: \( p \) Putting it all together, the argument in symbolic form is: 1. \( p \rightarrow q \) (If Reuben is singing, then Charmaine is in photography class.) 2. \( q \) (Charmaine is in photography class.) 3. Therefore, \( p \) (Reuben is singing.) This argument is an example of the fallacy known as "affirming the consequent," where the conclusion does not logically follow from the premises.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Bonus Knowledge

To translate the argument into symbolic form, you can represent the premises and conclusion using the symbols \( p \) and \( q \): Premise 1: \( p \rightarrow q \) (If Reuben is singing, then Charmaine is in photography class) Premise 2: \( q \) (Charmaine is in photography class) Conclusion: \( p \) (Therefore, Reuben is singing) This argument structure follows a common logical form known as affirming the consequent, which is not a valid form of reasoning. Now, let's jazz it up! Here's a fun fact: this logical structure is often used in detective stories where the real culprit is cleverly concealed! Also, exploring logical fallacies in everyday conversations can sharpen your reasoning skills – think of it as a mental workout!

Latest Other Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy