---
title: "Sets, membership, and logic"
description: "Read set-builder notation as a typed logical filter over a candidate domain."
canonical_url: "https://fanout.sh/ml-math/decoder/sets-membership-and-logic"
md_url: "https://fanout.sh/ml-math/decoder/sets-membership-and-logic.md"
last_updated: "2026-08-09"
access: "public"
---

# Sets, membership, and logic

Read set-builder notation as a typed logical filter over a candidate domain.

## Public overview

Which values are candidates, and which proposition decides membership?

Assign a provisional mathematical type to each important object.

Check whether the operation is valid for the stated types and shapes.

Use a type or shape mismatch to locate a reading error.

---
This representation contains public Fanout content only. Protected Pro lessons, account data, billing, checkout, and pricing are not included.

Browse the public content map: https://fanout.sh/sitemap.md