The Eric Normand Podcast

Algebra is about composition

Nov 18, 2019
Dive into the fascinating interplay between algebra and functional programming. Discover how the concepts of composition, associativity, and commutativity shape our understanding of both fields. Learn how these properties enhance the reliability and flexibility of functional components, making it easier to define new algebraic concepts. This exploration opens up a world of connections that can transform your approach to problem-solving.
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INSIGHT

Algebra and Composition

  • Algebra helps define how things compose, which is crucial for building complex systems.
  • Algebraic properties, like associativity, show how function calls can be combined in regular ways.
INSIGHT

Associativity and Composition

  • Associativity compares a function call with itself, demonstrating how calls can compose.
  • It ensures that operations can be combined in predictable ways, enabling future manipulations.
ADVICE

Planning Composition

  • Use algebraic properties to plan composition upfront instead of relying solely on intuition.
  • This allows for more robust and predictable system design.
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