TappyPotato logic puzzles

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Syllogism — rules and where to play

SYLLOGISM · Deductive reasoning / Logic inference

Given two premises, judge whether the conclusion necessarily follows. It trains what premises do and do not imply.

Origin
— · Greece
Difficulty
★★★★★ 2–4 / 5
Time
5–20 min
Grid
—
Sites
2

Rules

  1. A major and minor premise yield a conclusion, e.g. "all A are B, all B are C, so all A are C".
  2. The conclusion must be entailed by the premises; no common sense added.
  3. Traps: affirming the consequent, hasty generalisation, the four-term fallacy.

How to start

Only what the premises give

A conclusion beyond them is invalid no matter how true.

Draw the sets

Circles for A/B/C make inclusion obvious and resist wording tricks.

Spot the fallacy templates

Affirming the consequent and the undistributed middle are the two usual errors.

Where players get stuck

  • Padding premises with common sense for a "true but unproven" conclusion.
  • Getting lost in wording and missing the real subject/predicate.

Play Syllogism

2 sites

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About this page
  • Last updated 2026-09-22
  • Source Curated compilation of established puzzle rules and listed third-party play sites
  • Audience Players learning Syllogism rules or looking for online sites to play
  • Covers Rules summary, how to start, common pitfalls, and the dedicated play sites listed on this page
  • Does not cover Hosted puzzles, worked solutions, official contest rankings, third-party uptime or pricing guarantees
  • Not advice This page is puzzle reference content only. It does not constitute financial, legal, medical or other professional advice.
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