Rule 1: "If the alarm rings, the dog barks." Rule 2: "If the dog barks, the
baby wakes up." What can you conclude?
๐ญ How to Think About This
Logic is like a train track. If Track A connects to Track B, and Track B connects to Track C,
where can the train go?
Which statement MUST be true?
Could something else make the dog bark? Maybe thunder? If thunder causes
the bark, the baby wakes, but the alarm never rang.
Backwards.
This is a Mistaken Reversal. You can't go backwards down a one-way street.
The baby waking proves the dog barked, but it doesn't prove why the
dog barked.
Alarm โ Dog. Dog โ Baby. Since the middle part (Dog) is shared, you can connect
the start (Alarm) directly to the end (Baby).
Correct. The Chain Argument.
The Insight: If A โ B and B โ C, then A โ C.
The Strategy: Look for the "bridge" term that appears in the
conclusion of one rule and the premise of another. Confirm it matches
exactly, then link them.
If the alarm is quiet, could the baby still wake up? Yes. Maybe a garbage truck
drove by. The rules don't say the alarm is the only thing that wakes
the baby.
Incorrect.
This is a Mistaken Negation. The rules tell you what happens when the alarm
rings. They tell you NOTHING about what happens when it doesn't.
๐ Transitive Property
The Link
Rule 1: A โ B
Rule 2: B โ C
Conclusion: A โ C
The Gap
Rule 3?
Does C โ A? No rule says that.
Logic is a one-way street unless stated otherwise.
๐ค Which thinking lens(es) did you use?
Select all the lenses you used:
๐จโ๐ฉโ๐ง For Parents & Teachers
๐ฑ Everyday Logic
Kid: "If I eat veggies, I get dessert. If I get dessert, I get sugar rush."
Kid: "So... if I eat veggies, I get a sugar rush!"
Parent: "Correct logic! But if you don't eat veggies, can you get a sugar
rush?"
Kid: "No?"
Parent: "Wrong. Grandma might give you a cookie. Beware the logical fallacy!"
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