Modus Ponens

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Light each room by proving it: a daily puzzle of pure propositional logic.

Every day: One new logic puzzle every day, the same for everyone: a map of rooms, each a proposition, to light by proving it. New puzzle: Midnight, your local time.

Play Modus Ponens on modusponens.app

Modus Ponens

Modus Ponens title card: a glowing candle light above the name Modus Ponens and the formula A, A to B proves B, with the line A puzzle game of pure logic

Modus Ponens is a minimalist daily puzzle game built on intuitionistic propositional logic. Each level is a map of rooms, every room a proposition, and you light a closed room by touching the rooms that prove it. Solving a puzzle quietly proves a formula, which is kept as a trophy.

About Modus Ponens

Modus Ponens turns logical proof into a quiet puzzle of light and rooms. Each level is a map in which every room stands for a proposition, and the shapes of the rooms' outlines stand for the connectives. To solve it you choose a closed room as your goal and then touch the rooms that prove it; a proven room lights up. Implications are proved inside a hypothetical space where the premise is assumed, and a fork splits a proof into two cases.

The logic is intuitionistic, and the game says so plainly: the law of the excluded middle does not hold, so some rooms never open however you try. Each puzzle you solve is secretly a theorem, and the Trophies page keeps every one with the formula you proved, such as the A, A implies B, therefore B on its title card.

The Daily mode serves one new puzzle every day, the same for everyone, numbered from its start on 25 September 2026. Classic mode deals puzzles one after another at random or at a chosen difficulty from 1 to 8, and How To is a guided sequence that brings in one connective at a time. It is free in the browser with no account, and suits anyone curious about logic as well as players who like abstract, wordless puzzles.

How to play Modus Ponens

  1. Start with How To if you are new: it introduces one connective at a time.
  2. Open Daily for the day's puzzle, a map of rooms that each stand for a proposition.
  3. Choose a closed room as your goal.
  4. Touch the rooms that prove it; enter an implication's room to assume its premise, and split a fork into its two cases.
  5. Light the goal room to finish, and find the proved formula in your Trophies.

Screenshots

Modus Ponens start screen: the title under a small glowing light, with the How To, Daily and Classic menu and Trophies below

Tips

  • Read each room's outline: its shape tells you which connective it stands for and how it can be proved.
  • Do not try to prove a statement from its own negation's failure: the excluded middle does not hold here.
  • When a fork appears, prove the goal in both cases separately.
  • Use Classic at a low difficulty to learn the connectives before the daily puzzle.

Questions

Do I need to know logic to play Modus Ponens?

No. The How To sequence teaches the rules one connective at a time, and the puzzles are played with rooms and light rather than symbols.

Why will some rooms never open?

The game uses intuitionistic logic, where the law of the excluded middle does not hold, so some classically true statements cannot be proved.

Is there a new puzzle every day?

Yes. Daily mode gives one new puzzle each day, the same for everyone.

Can I play more than the daily?

Yes. Classic mode serves puzzles at random or at a difficulty from 1 to 8.

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