Structure & Proof

Formal Sciences

Abstract structures for reasoning, quantity, computation, information, data, and complex systems.

Shared grammar

Define objects, connect them, transform them, and prove what follows.

:=Definitions
Relations
f(x)Functions
Transforms
[ ]Structures
Proofs
Working principles

Four habits that recur across every formal discipline.

01
Abstract

Strip away context to expose structure.

02
Define

Make every object and rule precise.

03
Derive

Follow valid operations from what is known.

04
Verify

Check consistency, proof, or model behavior.