Question
P1: If I increase my withholdings, I will receive a refund on my taxes. (W ? R) P2: I didn't increase my withholdings. (~W) Argument:
P1: If I increase my withholdings, I will receive a refund on my taxes. (W ? R) P2: I didn't increase my withholdings. (~W)
Argument: Therefore, I didn't get a refund. (~R)
Truth Table:
W R ~W W ? R ~R
T T F T F
T F F F T
F T T T F
F F T T T
The argument in question is a classic example of a fallacy called denying the antecedent.
The argument goes like this: "If P, then Q. Not P, therefore not Q." In other words, the argument denies the antecedent, which means that it assumes that if the condition that leads to the consequent (P) is not met, then the consequent (Q) must also not be true.
In this specific example, the propositions are:
P: I increase my withholdings Q: I will receive a refund on my taxes
The argument is: "If I increase my withholdings, I will receive a refund on my taxes. I didn't increase my withholdings. Therefore, I didn't get a refund.
Adjust:
You need one column for each
Letter and logical operator
You have 5 rows (good) and now you need 9
Columns!
7243 A o.' \"7'7 5 49 IE1 '' N' 56\" ..I| 37%- X Week 6 Discussion Directions 20... "- Truth Tables Directions -Set up each argument in a table (or in Microsoft Word table that you paste into the discussion post). following the example given in the \"Setting Up a Truth Table" document. IDesign your table based on the argument that you are using for your Portfolio Project. This should be the complete argument that represents the fallacy you chose for your project. Deadlines; Step 1: Setup: This Initial post is due by Day 3 at 11:59 pm. ET. In this step, you will ONLY show the setup for your truth table and create it for your initial post. Your table should only have the truth values on the left for your variables (representing simple statements) and the argument you chose in the top header row. Step 2: Evaluate Conclusion is due by Day 4 at 11:59 pm. ET. In this step, you will ONLY evaluate your conclusion and highlight any of your FALSE conclusions in green. Step 3: Evaluate Premises is due by Day 6 at 11:59 pm, ET. In this step, you will work only the rows that were determined to have FALSE conclusions. Final Step : Evaluate Validity is due by the end of the week (Day 7) at 11: 59 pm. ET. Highlight the row that shows your fallacy is invalid. In this row your premises' main connectives are ALL true in a single row that has a FALSE conclusion. III C) <Step by Step Solution
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