Documentation
  • Introduction
  • Why Ampersand?
    • The Business Rules Manifesto and Ampersand
  • Tutorial
    • Example system: Enrollment
    • Conceptual Model: Enrollment
    • Your tool: RAP4
    • Making your first Ampersand script
  • Reactive programming
  • The language Ampersand
    • How to read syntax statements
    • Truth
    • Atoms
    • The CONCEPT statement
    • The RELATION statement
    • The MEANING statement
    • The PURPOSE statement
    • The CLASSIFY statement
    • The RULE statement
    • Terms
      • Semantics
      • Semantics in logic
        • Primitive terms
        • Boolean operators
        • Relational operators
        • Residual operators
      • Semantics in natural language
        • Primitive terms in natural language
        • Boolean operators in natural language
        • Relational operators in natural language
        • Residual operators in natural language
      • Semantics in sets
        • Primitive terms in set theory
        • Boolean operators in set theory
        • Relational operators in set theory
      • Semantics of terms, defined algebraically
        • Boolean operators in algebra
        • Relational operators in algebra
      • Semantics visualized
        • Semantics of boolean operators visualized
        • Semantics of relational operators visualized
        • Semantics of residuals visualized
    • Context
    • Module
    • Best Practices
    • Syntactical Conventions
      • The CONCEPT statement
      • The RELATION statement
      • The RULE statement
      • The CONTEXT statement
      • The INCLUDE statement
      • Explanation
      • Patterns
      • Population
        • Population in spreadsheets
      • The PURPOSE statement
      • The IDENT statement
      • The TABLE statement
      • Language support
    • The INCLUDE statement
    • Patterns
    • Services
      • Example: Client
      • Example: Login
      • Syntax and meaning
      • Explanation
      • Layout of user interfaces
        • Your own widgets (HTML and CSS)
      • CRUD
    • Population
      • Population in spreadsheets
    • The ENFORCE statement
    • The IDENT statement
    • The TABLE statement
    • Language support
    • Current date
    • The Preprocessor
    • Design considerations
  • Running the Ampersand compiler
    • Configuration
    • Commands (vs. 4.0.0 and later)
    • Options (up to vs. 3.17.4)
  • Architecture of an Ampersand Application
    • Backend framework
    • Hooks
    • Extensions
      • The ExecEngine
  • Deploying your Ampersand script
    • Compiler
    • Deploy your own web application on your laptop
    • Prototype multi-stage build
    • Prototype database
  • Reusing Available Modules
    • Modules
    • Security
    • SIAM (Sessions, Identity and Access Management) Module
  • Exercises
    • Delivery
    • VOG (in Dutch)
  • Installing Ampersand
    • Deploying your Prototype
    • Installing the tools manually
  • Modeling
    • Domain Driven Design
    • Data modeling
    • Legal modeling
    • Architecture modeling
    • Metamodeling
    • Limitations of Ampersand
  • Configuring your application
  • The Excel Importer
  • Plans
    • Current State
    • NoSQL storage
    • API documentation
    • OWL and RDFS input
    • Refactor the front-end
  • Research
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  1. The language Ampersand
  2. Terms

Semantics in sets

PreviousResidual operators in natural languageNextPrimitive terms in set theory

Last updated 6 years ago

Primitive terms in set theory
Boolean operators in set theory
Relational operators in set theory