Posts tagged with people

The Cartesian products
{−,+} ⨉ {−,+}
and
 {−,+,0} ⨉ {−,+,0}
realised as faces and as theories of personality.

Isomorphic to what you get if you strip the lightswitch group of its relationships=mappings=arrows (forgetful functor →Set).

The Five Temperaments apparently thinks the Four Humours theory of personality is improved by adding 0. We could go all the way to fuzzy logic and make the dimension continuous. What would that do?

hi-res




In game theory the word “strategy” means a fully specified contingency plan. Whatever happens—be it a sequence of things, a conditional branching of their responses and my responses—∃ a contingency.

I can’t prove this, but I do feel that sometimes people talk about others as constants rather than response functions.

(A function is a ≥1-to-1 association from elements of a source domain to elements of a target codomain. I’ll owe ya a post on how this is not the most intuitive way to think about functions. Because it depends which domains you’re mapping from and to. Think for example about automorphisms—turning something over in your hand—versus measures—assigning a size to something.)

  

For example, extraversion vs introversion. This is one of the less disputatious dimensions of human variation from the MBTI. We can observe that some people (like me) gain more energy by being around people and feel like sh*te when they spend too much time alone, whereas others (like my best friend) replenish their reserves by being alone and drain them when they go out in public.

So we observe one datum about you—but sometimes a discussion (eg, an economics debate) wants to veer over counterfactual terrain—in which case we need a theory about how things might else have been.

  • Maybe when you were young, your parents always made you do chores whenever they saw you, but didn’t particularly seek you out when you were out of sight. So you learned to hide in your room, avoid chores, and develop your personal life there. Hence became introverted as a response to environmental factors.
  • When I was young, I used to think I was introverted. Really I was just widely disliked and unpopular for being an ugly nerd. But later in life I developed social skills and had the fortune to meet people I liked, who liked me back. In response to who was around, I became extraverted.
   

I can think of other aspects of myself that are obviously responses to situational stimuli rather than innate constants.

  • If I were raised in a different culture, my sexuality would be different. In my culture, homosexuality is seen as “You boink / date / marry from your own sex”, but in ancient Sparta women all gayed on each other as a matter of ritual before the men came home from war. But they didn’t call themselves homos, and neither did the Roman men who sexually touched each other. It was just a different conception of sex (one I can’t fathom) where “Just because I regularly crave and do sexual stuff with people of my own sex, doesn’t mean I’m gay!”
    File:Pederastic erotic scene Louvre F85bis.jpg
    File:Banquet Euaion Louvre G467.jpg
    File:Pompeii - Terme Suburbane - Apodyterium - Scene V.jpg
    File:Nisos Euryalos Louvre LL450 n2.jpg
    Point being this is all the result of inputs; born Puritan, think sex = evil. Born Roman, "sexuality is a behaviour, not an identity".
  • If I ate more food and exercised less, my fat:muscle ratio would increase.
     
  • If I meditated more, I would feel more at peace.
  • If I read more maths, I would know more maths. More people would think of me as a mathematician—but not because it was inevitable or inherent in me to be a mathmo, rather because I chose to do maths and became the product of my habits.
  • If I fixed more bikes, I would be able to fix bikes faster.
  • If I made more money, I would go to different places, meet different people, be exposed to their response functions to their own pasts and presents and anxieties and perceptions, a vector field of non-Markovian baggage, and all of this history and now-ness would sum up to some stimuli-complex that would cause some response by me, and change me in ways I can’t now know.
     
  • Our friendship could have been so much more, but we sort of let it fall off. Not for any reason, but it’s not so strong now.
  • Our love could have been so much less volatile, but I slept around, which had repercussions for your feelings toward me, which repercussed to my feelings toward you, which repercussed …. (multiplier effect / geometric series)
 

Besides being motivation for me to learn more maths to see what comes out of this way of thinking about people when you layer abstract algebra over it, this view of people is a reminder to

  1. release the egotism, and
  2. not take too literally what I think I’m seeing of whomever I’m interacting with.

Someone who piss me off may not be “a jerk”, it may not be about me whatever, s/he may be lag-responding to something from before I was there. Or s/he may not have adapted to a “nice guy” equilibrium of interacting with me. Who knows. I’m not seeing all of that person’s possibility, just a particular response to a particular situation.

On the other hand, if they really are acting wrong, it’s up to me to address the issue reasonably right away, rather than let my frustration passive-aggressively fester. Wait ten years for revenge and they’ll be a different person by then.

The final suggestion of people-as-functions is that there’s always something buried, something untapped—like part of a wavefunction that will never be measured, or a button on a machine that never gets pressed. You may see one version of yourself or someone else, but there’s more latent in you and in them—if you’re thrown into a war, a divorce, the Jazz Age, the Everglades, a hospice, a black-tie dinner, poverty, wealth, a band, a reality show about life under cruel premodern conditions—that may bring out another part of them.

 

UPDATE: peacemaker points out the similarity between people-as-response functions and the nature/nurture debate. I think this viewpoint subsumes both the nature and the nurture side, as well as free will.

  1. Evolution shaped our genes in response to environmental pressures (see for example the flies’ eyes chart above).
  2. My assumptions & predilections are a response to a more immediate “environment” than the environment of evolutionary adaptation.
  3. And I exercise free will over how I respond to the most immediate “environment” which is just the stimuli I get from you and the Wu Tang Clan.

UPDATE 2: As I think through this again, I feel quantum measurement really is a great metaphor for interacting with people. You only evoke one particular response-complex from a person on that particular time. And the way you evoke it perturbs the “objective” underlying thing. For example if yo’re introduced to someone in a flirtatious way versus in a business setting.




\dpi{300} \bg_white f: \mathbb{Z}_2 \times \mathbb{Z}_2 \to \{0,1\}

I don’t find numbers particularly interesting, in and of themselves. Mathematics’ folklore suggests that, even if you’re misled into thinking that, for example, 1729 is an uninteresting number, you may be wrong. Whatever. I’m just not a numbers person.

But you can combine numbers to get interesting things. When you put enough numbers together you get Toy Story. Beyond interesting: it was moving. All of the polygons and sound waves (1-D functions of time) are mathematical, and the movie was ultimately encoded as bits — so Toy Story is one long number.

Drama can be built up with much less. Consider the set {Jun, Kiko}. There is a function which maps pairs from the set to {0,1}: a two-place relation

  • ƒ(Jun, Kiko) = 1
  • ƒ(Kiko, Jun) = 0

{0,1} is isomorphic to {true, false} and the two-place relation’s name is “Love”. True, Jun loves Kiko. False, Kiko does not love Jun

See what I did there? ƒ(a,b)=1 && ƒ(b,a)=0 ——functor—→

  • Love(Jun, Kiko) = T
  • Love(Kiko, Jun) = F

The possibilities take the shape of the vierergruppe:

A love triangle isn’t far off. And now you have my attention if you want to talk about cohomology or something. Oh, the cohomology of a love triangle? The cohomology of unrequited love? Yeah. I could get interested in that.

This is why I read mathematics. Not because numbers fascinate me. Not because deduction is fun. Because with math you can think about sh_t in a totally new way.




Hydrogen is a light, odorless gas, which, given enough time, turns into people.
Edward R. Harrison