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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Last updated 6 years ago

  1. The language Ampersand
  2. Terms

Semantics in sets

PreviousResidual operators in natural languageNextPrimitive terms in set theory
Primitive terms in set theoryBoolean operators in set theoryRelational operators in set theory