Diagram the following conditional statement and find its contrapositive: “The cakes are delicious, except for the gluten-free ones.” Answer To diagram a statement involving the word “except,” you should first change the word “except” to the phrase “if not.” Then,…
Identify the flaw in the argument: “The ultimate frisbee community has been in the news a lot lately. Therefore Braden, who is an ultimate frisbee fris-bro, must have been in the news recently.” Answer This is a whole-to-part composition flaw. …
Diagram the following conditional statement and find its contrapositive: “Every flutist in the school band has a vendetta against Becky R.” Answer The diagramming keyword here is “every,” which indicates a sufficient condition. So, “flutist in the school band” is…
Diagram the following ordering game rules and make any deductions you can from them: The bobcat is in a habitat to the left of the elephant’s habitat. The fox habitat is to the right of the kangaroo habitat. The fox…
Identify the flaw in the argument: “Ricardo’s budget proposal would allow us to cut costs while maintaining productivity. Meanwhile, Angelica’s proposal would cause severe damage to the environment. Thus, Ricardo’s budget is preferable.” Answer This is a comparison flaw. Whenever…
Diagram the following conditional statement and find its contrapositive: “The only true artists are the ones who suffer for their work.” Answer “The only” is a bit of a tricky phrase for diagramming. “Only” by itself indicates a necessary condition,…
Diagram the following ordering game rules and make any deductions you can from them: 1. A is to the left of E and F. 2. D and B are consecutive. 3. F is to the right of B. Answer First…
Identify the flaw in the argument: “Every time I play darts, I hit the same spot on the board. Thus, I am good at darts.” Answer This is an equivocation fallacy. One version of the equivocation fallacy occurs when you…
Diagram the following conditional statement and find its contrapositive: “Completing algebra 1 is a prerequisite for taking calculus.” Answer This is a tricky sentence to diagram. Rather than relying on the usual keywords, this sentence requires us to really think…
Diagram the following ordering game rules and make any deductions you can: Malika is in a seat to the left of Rashad, but to the right of Lee. Lee is in a seat immediately to the left of Paula. Sanjay…