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Cake day: July 9th, 2023

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  • Septimaeus@infosec.pubtoScience Memes@mander.xyzCheeky
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    1 month ago

    Their genetics have sacrificed nearly every aspect of basic resiliency for maximum speed on the plains. Most of the work caring for horses is keeping them from accidentally killing themselves. Full disclosure: I worked as a stable hand as a child in exchange for riding lessons. Will never ever own a horse.


  • More abstract means simpler, but it’s easy to get lost if you weren’t ready to have concrete examples taken away, so examples are offered for each translation below.

    1. A chu space is a “binary relation” between two sets. In other words, it can be represented as a matrix of pairs. E.g…

    Think of an ordinary table, where each cell relates a row to a column. A common application of chu spaces is computation, so imagine how rows could refer to possible states of a program and columns could represent the events transitioning one to another. Each cell would then represent an incremental change to a particular state.

    2. Dropping the “closure requirement” means a given point need not be reachable from every other possible point. E.g…

    If on a computer you delete a file, but decide instead you wanted to rename it, you might not be able to get to the desired state in a single logical step. First you may have to reverse the last step (deletion) then execute the next (rename). So the set of points representing these steps wouldn’t be closed topologically.

    3. Dropping the “extensional” requirement means that points can be considered distinct even if their contents are the same. E.g…

    In the file system example above, if you rename the file to the current file name, even if it results in no change to the current state, it can still be considered a valid transition to a distinct state.

    4. Dropping the “two-valued” requirement means we don’t need to know for certain whether or not a point is included in a set. E.g…

    First, we say two-valued just to be inclusive of yes/no, T/F, 0/1, -1/+1, and other dyadic pairs. Not requiring it means we can work with values between the two extremes, such as the probability that a point is included in an open set. This is particularly relevant to quantum applications where nothing is certain because particles simply pop in and out of existence and generally behave like assholes.

    5. The static matrix of #1 is a single slice of a more dynamic "continuous function” that lets us describe how a chu space transforms over time. E.g…

    In the file system example of #3, we wouldn’t want to literally represent each state and potential event in a matrix. Instead, we would consider the static matrix of as a “snapshot” of a larger continuous series of file system changes. (And it so happens that this is how incremental backup and version control systems tend to work.) Instead of fixed sets we would then have complementary functions mapping states forward to an event and mapping events backwards to a state.

    (Note for the mathy: the above is supposed to be layman’s terms but if there’s a major inaccuracy please correct me.)






  • We can satisfy this curiosity with a fair amount of scientific evidence.

    Of course, most regions of the brain are so densely and variably interconnected that the technical difficulty of “replacing parts” precedes the ethical consideration by many, many years. But we do have a great deal of evidence for how our subjective sense of self is affected by “losing/removing parts” of the brain. Patients are often unaware of change unless evidence for it is overwhelming, and even then are adept at healing/reconciling instinctively. It appears that this is just something brains have evolved to do.

    So while the technology (and sheer artistry) required to match and “stitch” these networks is quite staggering, basically magic, it is theoretically possible that a patient could have every part replaced without recognizing any continuity errors in the chimeric stages, until one day they wake up as a completely different person.