Where syllogisms grow like vines
Every valid argument is a seed. Plant the premises in fertile ground, water them with inference rules, and watch the conclusion emerge — not manufactured, but grown. The structure of a proof is indistinguishable from the branching pattern of a fern.
The word "reason" shares its Proto-Indo-European root with rēri — to reckon, to think, to count the branches.
Modus Ponens as Root System
This is not metaphor. The Curry-Howard correspondence proves that proofs are programs, and programs are trees. The botanical resemblance is structural, not decorative.
A deduction is a path through possibility space. Each branching point is a choice — modus ponens or modus tollens, affirm or deny, grow left or grow right. The canopy above is the space of all reachable truths.
The Inference Garden
At the apex of every proof tree, a theorem stands in the light. It was not placed there — it arrived through the patient work of inference, each step as inevitable as phototropism. The canopy is dense with results, each leaf a proven truth, each branch the argument that supports it.
Gödel showed us that no formal garden is ever complete — there are always truths beyond the canopy's reach, flowers that bloom outside the greenhouse walls.
The proof is complete. The garden grows.