4 Matching Annotations
  1. May 2020
    1. R is reflexive iff ∀∀\forall x [x ∈∈\in U → xRx]

      For each x in the set, x must be related to x for the relation to be reflexive. In other words, each element must be related to itself.

      Example:

      We have the set [1 2 3].

      For a relation to be reflexive, it must have (1 1), (2 2), and (3 3).

  2. Apr 2020
    1. criture réflexive.

      L'un des atouts de MS Word est justement d'inviter l'utilisateur à ne pas réfléchir à son médium d'écriture, mais de juste l'utiliser (je reprends le paradigme de «document comme une fin»).

      Est-il toujours pertinent d'écrire de manière réflexive, en constant dialogue avec le médium d'écriture? En écartant les spécialistes, quelles compétences techniques (ou compréhension des formats) peut-on souhaiter à grande échelle?

      L'interface de stylo pourrait-elle être encadrer l'utilisateur avec davantage de convivialité tout en lui dévoilant son paradigme (éduquer en écrivant, amicalement et professionnellement)? (C'est une question UX, mais qui permettrait probablement une adoption plus large.)

  3. Feb 2020
    1. Image Credit: Detail from "The School of Athens" by Raffaello Sanzio da Urbino (c. 1509–1511).

      Euclid's common notions appear to be grounds for many of Marx's arguments in Ch. 1, but also throughout the book.

      Near the beginning of Ch. 1 of the Elements Euclid lists them [PDF]:

      • Things that are equal to the same thing are also equal to one another (the Transitive property of a Euclidean relation).
      • If equals are added to equals, then the wholes are equal (Addition property of equality).
      • If equals are subtracted from equals, then the differences are equal (Subtraction property of equality).
      • Things that coincide with one another are equal to one another (Reflexive property).
      • The whole is greater than the part.

      Regarding the fifth, also see Aristotle, Metaphysics 8.6 [=1045a]; Topics 6.13 (=150a15-16);

      On the concept of the "whole-before-the-parts" (along with the "whole of the parts" and the "whole in the part"), also see Proclus, El. Theol., prop. 67.

  4. May 2015
    1. sensation is never simple. It is always doubled by the feeling of having a fe eling. It is self-refere ntial. This is not necessarily the same as "sc1f-reAexive.