The Eternal Doorman

Becky G - Mi Gran Amor Subscribe to  Santana . 

Some great advice at 20:42 about how to program computers.  See  Janet Axelrud on the Soul .  Subscribe to  Cybernetic Explorer . 

See  Nika Dubrovsky and Alistair Parvin on the David Graeber Institute and the Museum of Care, The Survival Kit Collection and the Open Systems Project . Mondragon is a worker owned cooperative with its own University. See  https://www.mondragon.edu . Subscribe to  Hazel Thayer . He just moved himself by paying the post office. The postal service in Canada seems pretty impressive if you can send a 28 Kg package across the country without taking out a mortgage to pay for it!  Subscribe to  Robert Elder Software . 

  Wouldn't it be nice if one day in the future you could specify the string/surface diagram representation as a morphism in CAT and have your computer generate the code to display the diagrams in your slides? That would be even cooler than HTML-in-canvas, wouldn't it?  See  Laurie Wired on Richard Gabriel's 35-year-old essay "Worse Is Better" Subscribe to Topos Institute . 

See her Patreon post .

It sounds like Richard Gabriel is the inventor of the term Software Architecture . See his 1996 book  Patterns of Software . See  https://dreamsongs.com/ . In answer to her question at the end: I think the best thing is to make stuff better and better. So for example, I think it would be nice if Lean's Mathlib one day proved the Generalised Stokes Theorem on differential manifolds and derived the proofs of the Fundamental Theorem of Calculus from that. At the same time, it would be nice if people could work on teaching the basic ideas of simplicial forms and cohomology to high school students so they could understand the Generalised Stokes Theorem in simplicial complexes before they were taught how to do epsilon-delta proofs of calculus on the real line. In computer science, the equivalent process is one where, instead of designing new languages like C++ and Lean and producing a never-ending stream of concrete implementations that are all different, people specified the lang...

From the video description : Given a finite collection of probability measures defined on subsets of a measurable space, how can we determine if they are compatible, in the sense that they can be realized as conditional distributions of a single probability measure on the full space? This formulation of the consistency problem for conditional probabilities is significant in Bayesian epistemology and probabilistic reasoning, as it describes the conditions under which a collection of agents can reach agreement by sharing information. We derive a necessary and sufficient condition under which joint compatibility is equivalent to pairwise compatibility. This condition is stated in terms of the cohomology of a simplicial complex constructed from the given probability measures, exposing a novel application of algebraic topology to Bayesian reasoning. See  Topological Obstructions to Shared Priors  by Owen D. Biesel, Colin McSwiggen, Ted Theodosopoulo and Michael G. Titelbaum.  ...

With a guest host in North Carolina,... See  Spiritually Depraved, Misery Inducing Landscapes of North America Episode III .  Subscribe to Crime Pays but Botany Doesn't . 

6:03 In Mathlib they try to formalise theories at the highest level of abstraction they can to avoid having to prove the same theorems many times for specific instantiations.  So for example, they use a general multi-dimensional integration theory of box-additive measures in  Mathlib.Analysis.BoxIntegral.Basic : In this file we define the integral of a function over a box in ℝⁿ. The same definition works for Riemann, Henstock-Kurzweil, and McShane integrals. As usual, we represent ℝⁿ as the type of functions ι → ℝ for some finite type ι. A rectangular box (l, u] in ℝⁿ is defined to be the set {x : ι → ℝ | ∀ i, l i < x i ∧ x i ≤ u i}, see BoxIntegral.Box . Let vol be a box-additive function on boxes in ℝⁿ with codomain E →L[ℝ] F. Given a function f : ℝⁿ → E, a box I and a tagged partition π of this box, the integral sum of f over π with respect to the volume vol is the sum of vol J (f (π.tag J)) over all boxes of π. Here π.tag J is the point (tag) in ℝⁿ associated with the ...