Unit 8 · Detecting Reasoning Errors

Roller-Blading Skills — Inverse Fallacy

Lesson 25 of 34

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About this lesson

Four rules about roller-blading, roller-skating and ice-skating. Wei says Shane's years of ice-skating mean he can roller-skate. Talia says Hannah can't roller-blade so she can't roller-skate either. One of them chains the rules correctly — and Rule 3 is the key to catching the other's mistake.

Chapters

0:00Introduction
0:23Question
1:16Strategy
1:53Step 1: Rules table + Wei — valid chain
2:47Step 2: Talia — inverse fallacy, Rule 3 proves it wrong
4:06Correct answer

Question

The skills required for roller-blading, roller-skating and ice-skating are very similar.

  • Anyone who can roller-blade can also roller-skate.
  • Anyone who can roller-blade can also ice-skate.
  • Not everyone who can roller-skate can roller-blade.
  • Anyone who can ice-skate can also roller-blade.

Wei: "Shane has been ice-skating for years. He will have no trouble roller-skating."

Talia: "Hannah is unable to roller-blade. She won't be able to roller-skate."

If the information in the box is true, whose reasoning is correct?

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