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logic.quest

A pilgrimage where propositions become doors.

premise i If a path glows, it has been justified. P → J
premise ii The amber path glows under inspection. P

choose a premise; wake the line

map 02 · →

The Fork of If/Then

A syllogism bridge divides into two corridors. One hinge is valid inference; the other is a tempting shortcut with no warrant.

do not mistake the shadow for the source

¬

Contradiction Well

False routes descend as red wax fragments. Drop a claim with its negation and listen for the hollow seal of impossibility.

A¬AF0¬
NO

A ∧ ¬A ⟹ ⊥

α
β
γ
δ
ε
ζ
map 04 · ∧

Lemma Lanterns

Collect small truths until the chamber becomes a constellation of warranted light. Every lantern ignites the next.

map 05 · ∀ ∃

Quantifier Garden

Symbolic vines bind the universal and the particular. Turn the quantifier keys until the archway agrees with the domain.

∀x(Px → Qx)
∃x(Px ∧ Qx)
¬∀x¬Qx

a single witness can unlock an orchard

PJQ¬α

The Conclusion Door

P → J, P ⊢ J

QED

The fragments align; the proof becomes a key; the library opens another impossible room.

therefore, proceed