ALL-SOME-NO-CONVERT: Draw Venn diagrams for each statement type. All = inside, Some = overlap, No = separate. Only Some and No reverse.
Syllogism Tricks
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Items to Memorize
- All A are B → A completely inside B
- Some A are B → circles overlap
- No A is B → circles separate
- Only 'Some' and 'No' can be converted
- Either/Or applies for contradictory conclusions
- Possibility cases — draw multiple valid diagrams
Mnemonic Tricks
How It Maps
| Cue | Maps To |
|---|---|
| ALL | Draw A completely inside B — complete containment |
| SOME | Draw A and B overlapping — partial intersection |
| NO | Draw A and B completely separate — no touching |
| CONVERT | Only 'Some' and 'No' statements can be directly reversed |
Why It Sticks
The visual method eliminates confusion — once you draw it, the answer is literally visible. No need to memorize complex logical rules.
For Either/Or: if two conclusions are exact opposites (A>B and A≤B), one MUST be true. Mark 'Either I or II follows.'
How It Maps
| Cue | Maps To |
|---|---|
| Contradictory pair | One says 'Some X are Y', other says 'No X is Y' |
| When to use | When both individual conclusions don't follow |
| Logic | Exactly one of two contradictory statements must be true |
Why It Sticks
Either/Or is the most commonly missed trick — students mark 'Neither follows' when they should check for complementary conclusions.
Frequently Asked Questions
Can 'All A are B' convert to 'All B are A'?
No! 'All A are B' only converts to 'Some B are A'. Think: all cats are animals, but not all animals are cats.
What about 'possibility' questions?
For 'Some A are B is a possibility' — check if A and B COULD overlap in any valid Venn diagram arrangement. If yes, it's possible.