Syllogism & Statement–Conclusion
Syllogism is the one reasoning topic where your general knowledge is a liability. The question asks what follows from the given statements alone — even if a statement is factually absurd ("All cats are trees"), you must accept it and reason inside that world. Candidates who answer from real life lose these marks reliably.
Don't read this page — work through it. Each block asks you to commit to an answer before it tells you anything.
Start here: what do you already know?
Syllogism — true or false?
6 statements · 12s each
Draw circles, do not think in words
Every syllogism is a picture. Four statement types, four pictures:
| Statement | Picture |
|---|---|
| All A are B | Circle A entirely inside circle B |
| No A are B | Two separate circles, not touching |
| Some A are B | Two circles overlapping |
| Some A are not B | Overlap, with part of A sticking outside B |
A conclusion is valid only if it is true in every possible drawing. If you can draw one arrangement that fits the statements but breaks the conclusion, the conclusion does not follow.
Which conversions are legal?
Does this conversion follow?
0/6Some A are B → Some A are not B
Which group does it belong to?
Method, in order
Match the statement to its picture
Statement → Diagram
0/6Pick from the left
The elimination rules
Exam tip: if a conclusion merely repeats a given statement, it follows trivially. Candidates often reject these because they look "too easy".