Type Theory Forall

#21 Denotational Design - Conal Elliott


Listen Later

In this episode Conal Elliott gives a more concrete presentation

on what is Denotational Design is and how to use it in practice. It is a continuation of episode #17, in which we had an in-depth philosophical
conversation to explain why he believes that
Denotational Design is a superior form of reasoning in the realm of computer
science.

We also continue a discussion raised by Dan Ghica on the last episode on the

need for Operational Semantics and the role of elegance in reasoning and
design.

Along the way we also address the questions sent by the listeners in these last episodes.

Links
  • Conal's website
  • Play/work with Conal
  • Conal's twitter: @conal
  • The simple essence of automatic differentiation
  • Compiling to categories
  • Generic parallel functional programming
  • Denotational design with type class morphisms
  • Quotes
    • "A theory appears beautiful or elegant [...] when it’s simple; in other words when it can be expressed very concisely in terms of mathematics that we’ve already learned for some other reasons." - Murray Gell-Mann, Beauty and Elegance in Physics.

    • "In Galileo’s time, professors of philosophy and theology—the subjects were inseparable—produced grand discourses on the nature of reality, the structure of the universe, and the way the world works, all based on sophisticated metaphysical arguments. Meanwhile, Galileo measured how fast balls roll down inclined planes. How mundane! But the learned discourses, while grand, were vague. Galileo’s investigations were clear and precise. The old metaphysics never progressed, while Galileo’s work bore abundant, and at length spectacular, fruit. Galileo too cared about the big questions, but he realized that getting genuine answers requires patience and humility before the facts." - Frank Wilczek, (The Lightness of Being: Mass, Ether, and the Unification of Forces)

    • "We must make here a clear distinction between belief and faith, because, in general practice, belief has come to mean a state of mind which is almost the opposite of faith. Belief, as I use the word here, is the insistence that the truth is what one would ‘lief’ or wish it to be. The believer will open his mind to the truth on the condition that it fits in with his preconceived ideas and wishes. Faith, on the other hand, is an unreserved opening of the mind to the truth, whatever it may turn out to be. Faith has no preconceptions; it is a plunge into the unknown. Belief clings, but faith lets go. In this sense of the word, faith is the essential virtue of science, and likewise of any religion that is not self-deception." - Alan Watts (The Wisdom of Insecurity: A Message for an Age of Anxiety)

      ...more
      View all episodesView all episodes
      Download on the App Store

      Type Theory ForallBy Pedro Abreu

      • 5
      • 5
      • 5
      • 5
      • 5

      5

      10 ratings


      More shows like Type Theory Forall

      View all
      In Our Time by BBC Radio 4

      In Our Time

      5,389 Listeners

      The Changelog: Software Development, Open Source by Changelog Media

      The Changelog: Software Development, Open Source

      284 Listeners

      Philosophize This! by Stephen West

      Philosophize This!

      15,093 Listeners

      The Quanta Podcast by Quanta Magazine

      The Quanta Podcast

      500 Listeners

      CoRecursive: Coding Stories by Adam Gordon Bell - Software Developer

      CoRecursive: Coding Stories

      189 Listeners

      Iowa Type Theory Commute by Aaron Stump

      Iowa Type Theory Commute

      17 Listeners

      The Real Python Podcast by Real Python

      The Real Python Podcast

      139 Listeners

      Theories of Everything with Curt Jaimungal by Theories of Everything

      Theories of Everything with Curt Jaimungal

      470 Listeners

      The Rest Is History by Goalhanger

      The Rest Is History

      13,053 Listeners

      The Haskell Interlude by Haskell Podcast

      The Haskell Interlude

      13 Listeners

      The Joy of Why by Steven Strogatz, Janna Levin and Quanta Magazine

      The Joy of Why

      502 Listeners

      The Rest Is Politics by Goalhanger

      The Rest Is Politics

      3,286 Listeners

      Oxide and Friends by Oxide Computer Company

      Oxide and Friends

      47 Listeners

      The Rest Is Politics: Leading by Goalhanger

      The Rest Is Politics: Leading

      989 Listeners

      Latent Space: The AI Engineer Podcast by swyx + Alessio

      Latent Space: The AI Engineer Podcast

      75 Listeners