Syllogisms: what follows from the premises?
Begin at the centre. Explore a branch, explain its connection, then test your recall. Tap any branch heading to fold or expand it.
In recall mode, focus or tap a branch to reveal its explanation. Branches group related ideas; they do not imply a chronological sequence.
Syllogisms: what follows from the premises?
01 · All A are B
A lies entirely within B. This does not imply that all B are A.
02 · No A are B
The two sets do not overlap.
03 · Some A are B
At least one element belongs to both sets.
04 · Some A are not B
At least one A lies outside B.
05 · Conclusion test
A conclusion must hold in every arrangement consistent with the premises.
Connect the branches
Draw set relations and test a counterexample. In formal logic, universal claims alone do not establish existence; follow any explicit exam convention.
Avoid the exam trap
Do not reverse “All A are B” or assume existence without justification.
Test yourself: From All roses are flowers, does All flowers are roses follow?
No. Flowers can include kinds other than roses.
A concise revision aid with simplified connections. It supports the full chapter and primary references; it does not replace them.