Recent content by WWGD

  1. W

    Random Thoughts 7

    I wonder why Cadillac hasn't come out with a model named ' Akka'. I would love to buy a Cadillac -Akka.
  2. W

    I About the existence of Hamel basis for vector spaces

    Sorry, CH is 'Continuum Hypothesis ' . ' He' is Paul Cohen, who used the Technique of Forcing to extend a model of ZFC where CH holds into one model where it does not hold. Sentence Logic is decidable through Truth tables, where the truth of a wff can be verified algorithmically, and it's...
  3. W

    I About the existence of Hamel basis for vector spaces

    Wff's are Syntactic, i.e., strings of symbols formed by precise rules, but without any assigned meaning. Interpretations, models, are Semantic, i.e., have a specific meaning assigned to them which must meet certain conditions, properties.
  4. W

    I About the existence of Hamel basis for vector spaces

    In FOL , First Order Logic, here with ZFC, statements are true/decidable, iff they are true, satisfied in all models. He used forcing techniques to extend a model of ZFC where AC held, to another one where it didn't ; he showed such sets exist in the larger model , but didn't actually...
  5. W

    I About the existence of Hamel basis for vector spaces

    I suspect there are models in which there are intermediate cardinalities.
  6. W

    Random Thoughts 7

    Maybe they would in overall introverted societies like Finland. Wonder if this is qualified in/by Hofstadter.
  7. W

    Random Thoughts 7

    I stopped getting blank stares when I stopped referring to comedian "Carrot Top" as "Carrot Cake". My bad.
  8. W

    A The colorful world of ##2\times 2## complex matrices

    @fresh_42
  9. W

    Random Thoughts 7

    I can't tell what will happen 3 years down the road. Alvin Toffler in overdrive.
  10. W

    Random Thoughts 7

    I bet the list of predictions that were right is much shorter.
  11. W

    Rare Earth Magnets costs NZ teen part of his bowel

    Wonder how the ratio of men to women vary with age, maybe excluding periods with major wars. Will look it up tomorrow.
  12. W

    Rare Earth Magnets costs NZ teen part of his bowel

    Hmm, I'm hungry. Let's see what's in the fridge: Steak, chicken, fruit, pancakes. No, let me have some rare earth toys.....
  13. W

    Random Thoughts 7

    Wonder how Nassim Taleb of "Fooled by Radomness" fame will respond to the discovery of Benjamini-Hochberg n controlling the family-wise error rate. I only read the paper, which won a prize in 2024, very lightly.
  14. W

    I Midpoint(s) of the unbounded number line

    I confusingly mixed up finite with infinite- and half-infinite intervals. My bad.
  15. W

    I Midpoint(s) of the unbounded number line

    Yes, except I was referring to infinite intervals. I thought of expanding on the idea into compactification would help illustrate the point.
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