Gemignani, Michael C. Elementary Topology. 2nd ed. Addison-Wesley Series in Mathematics. Reading, MA: Addison-Wesley Publishing Company, 1971.

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Does receiver need to trust the sender that the provided update does indeed contain all the missing ops?

compare this boiling down to his comment at https://hypothes.is/a/psgmlu7qEe6MIiNGfuzB2A

Repetition of the idea that indexing brings ideas together.

https://hypothes.is/a/psgmlu7qEe6MIiNGfuzB2A

Placing call numbers or location numbers on items to be filed allows them to be separated from other items while placing cross-references or links allows them to be brought back together again. These two affordances allow for divergence as well as convergence of items or ideas.

• for: example, example - evolutionary convergence, evolutionary convergence - arms of different species

• for: example, example - evolutionary convergence, evolutionary convergence - neuron. Oliver Sachs

• example: evolutionary convergence
  • during Cambrian explosion, over a period of 40 million years, a diverse range of species developed with the ability to see

• for: definition, definition - evolutionary convergence, evolutionary convergence

• definition: evolutionary convergence

  • similar environmental conditions can give rise to similar biological adaptations
• example: evolutionary convergence
  • during Cambrian explosion, over a period of 40 million years, a diverse range of species developed with the ability to see
  • a number of species have the same arm appendages:
    • human
    • bird
    • bat

Shared group note taking can be difficult as the notes one makes are often very personal and geared toward one's own particular path and needs.

Group note taking may be easier within a marriage or a company or custom group (particularly as actors are closer to each other in a shared unit) as actors are striving to increase both their shared context as well as their shared priorities and goals.

Barbara Tuchman analogized stopping one's research to going out on a date: one should leave off a half-hour before you really want to.

Liink to: This sounds suspiciously like advice about when to start writing, but slightly in reverse: https://hypothes.is/a/WeoX9DUOEe2-HxsJf2P8vw

One might also liken these processes to the idea of divergence and convergence as described by Tiago Forte and others.

!- for : futures - very appropriate description of what appears to be the most sensible futures for civilization

Tools which allow for flexibility and creativity are better for knowledge workers than those which attempt to crystalize their tasks into ruts. This may tend to force the outputs in a programmatic way and thereby dramatically decrease the potential for innovative outputs. If the tools force the automation of thought without a concurrent increase in creativity then one may as well rely on manual labor for their thinking.

This may be one of the major flaws of tools for thought in the educational technology space. They often attempt to facilitate the delivery of education in an automated way which dramatically decreases the creativity of the students and the value of the overall outputs. While attempting to automate education may suit the needs of institutions which are delivering the education, particularly with respect to the overall cost of delivery, the automation itself is dramatically at odds with the desire to expand upon ideas and continue innovation for all participants involved. Students also require diverse modes of input (seen/heard) as well as internal processing followed by subsequent outputs (written/drawn/sculpted/painted, spoken/sung, movement/dance). Many teachers don't excel at providing all of these neurodiverse modes and most educational technology tools are even less flexible, thus requiring an even larger panoply of them (often not interoperable because of corporate siloing for competitive reasons) to provide reasonable replacements. Given their ultimate costs, providing a variety of these tools may only serve to increase the overall costs of delivering education or risk diminishing the overall quality. Educators and institutions not watching out for these traps will tend to serve only a small portion of their intended audiences, and even those may be served poorly as they only receive a limited variety of modalities of inputs and outputs. As an example Western cultures' overreliance on primary literacy modes is their Achilles' heel.

Tools for thought should actively attempt to increase the potential solution spaces available to their users, while later still allowing for focusing of attention. How can we better allow for the divergence of ideas and later convergence? Better, how might we allow for regular and repeated cycles of divergence and convergence? Advanced zettelkasten note taking techniques (which also allow for drawing, visual, auditory and other modalities beyond just basic literacy) seem to allow for this sort of practice over long periods of time, particularly when coupled with outputs which are then published for public consumption and divergence/convergence cycles by others.

This may also point out some of the stagnation allowed by social media whose primary modes is neither convergence nor divergence. While they allow for the transmission/communication portion, they primarily don't actively encourage their users to closely evaluate the transmitted ideas, internalize them, or ultimately expand upon them. Their primary mode is for maximizing on time of attention (including base emotions including excitement and fear) and the lowest levels of interaction and engagement (likes, retweets, short gut reaction commentary).

Of course they'll struggle here because now they must recontextualize a huge amount of work and fill in all the details with things they might have also collected and linked previously.

The way that Tiago Forte overlaps the idea of C.O.D.E. (capture/collect, organize, distill, express) with the divergence/convergence model points out some primary differences of his system and that of some of the more refined methods of maintaining a zettelkasten.

<small>Overlapping ideas of C.O.D.E. and divergence/convergence from Tiago Forte's book Building a Second Brain (Atria Books, 2022) </small>

Forte's focus on organizing is dedicated solely on to putting things into folders, which is a light touch way of indexing them. However it only indexes them on one axis—that of the folder into which they're being placed. This precludes them from being indexed on a variety of other axes from the start to other places where they might also be used in the future. His method requires more additional work and effort to revisit and re-arrange (move them into other folders) or index them later.

Most historical commonplacing and zettelkasten techniques place a heavier emphasis on indexing pieces as they're collected.

Commonplacing creates more work on the user between organizing and distilling because they're more dependent on their memory of the user or depending on the regular re-reading and revisiting of pieces one may have a memory of existence. Most commonplacing methods (particularly the older historic forms of collecting and excerpting sententiae) also doesn't focus or rely on one writing out their own ideas in larger form as one goes along, so generally here there is a larger amount of work at the expression stage.

Zettelkasten techniques as imagined by Luhmann and Ahrens smooth the process between organization and distillation by creating tacit links between ideas. This additional piece of the process makes distillation far easier because the linking work has been done along the way, so one only need edit out ideas that don't add to the overall argument or piece. All that remains is light editing.

Ahrens' instantiation of the method also focuses on writing out and summarizing other's ideas in one's own words for later convenient reuse. This idea is also seen in Bruce Ballenger's The Curious Researcher as a means of both sensemaking and reuse, though none of the organizational indexing or idea linking seem to be found there.

This also fits into the diamond shape that Forte provides as the height along the vertical can stand in as a proxy for the equivalent amount of work that is required during the overall process.

This shape could be reframed for a refined zettelkasten method as an indication of work

Forte's diamond shape provided gives a visual representation of the overall process of the divergence and convergence.

But what if we change that shape to indicate the amount of work that is required along the steps of the process?!

Here, we might expect the diamond to relatively accurately reflect the amounts of work along the path.

If this is the case, then what might the relative workload look like for a refined zettelkasten? First we'll need to move the express portion between capture and organize where it more naturally sits, at least in Ahren's instantiation of the method. While this does take a discrete small amount of work and time for the note taker, it pays off in the long run as one intends from the start to reuse this work. It also pays further dividends as it dramatically increases one's understanding of the material that is being collected, particularly when conjoined to the organization portion which actively links this knowledge into one's broader world view based on their notes. For the moment, we'll neglect the benefits of comparison of conjoined ideas which may reveal flaws in our thinking and reasoning or the benefits of new questions and ideas which may arise from this juxtaposition.

This sketch could be refined a bit, but overall it shows that frontloading the work has the effect of dramatically increasing the efficiency and productivity for a particular piece of work.

Note that when compounded over a lifetime's work, this diagram also neglects the productivity increase over being able to revisit old work and re-using it for multiple different types of work or projects where there is potential overlap, not to mention the combinatorial possibilities.

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It could be useful to better and more carefully plot out the amounts of time, work/effort for these methods (based on practical experience) and then regraph the resulting power inputs against each other to come up with a better picture of the efficiency gains.

Is some of the reason that people are against zettelkasten methods that they don't see the immediate gains in return for the upfront work, and thus abandon the process? Is this a form of misinterpreted-effort hypothesis at work? It can also be compounded at not being able to see the compounding effects of the upfront work.

What does research indicate about how people are able to predict compounding effects over time in areas like money/finance? What might this indicate here? Humans definitely have issues seeing and reacting to probabilities in this same manner, so one might expect the same intellectual blindness based on system 1 vs. system 2.

Given that indexing things, especially digitally, requires so little work and effort upfront, it should be done at the time of collection.

I'll admit that it only took a moment to read this highlighted sentence and look at the related diagram, but the amount of material I was able to draw out of it by reframing it, thinking about it, having my own thoughts and ideas against it, and then innovating based upon it was incredibly fruitful in terms of better differentiating amongst a variety of note taking and sense making frameworks.

For me, this is a great example of what reading with a pen in hand, rephrasing, extending, and linking to other ideas can accomplish.

Tiago Forte frames the creative process in the framing of divergence (brainstorming) and convergence (connecting ideas, editing, refining) which emerged out of the Stanford Design School and popularized by IDEO in the 1980s and 1990s.

But this is just what the more refined practices of maintaining a zettelkasten entail. It's the creation of profligate divergence forced by promiscuously following one's interests and collecting ideas along the way interspersed with active and pointed connection of ideas slowly creating convergence of these ideas over time. The ultimate act of creation finally becomes simple as pulling one's favorite idea of many out of the box (along with all the things connected to it) and editing out any unnecessary pieces and then smoothing the whole into something cohesive.

This is far less taxing than sculpting marble where one needs to start with an idea of where one is going and then needs the actual skill to get there. Doing this well requires thousands of hours of practice at the skill, working with smaller models, and eventually (hopefully) arriving at art. It's much easier if one has the broad shapes of the entirety of Rodin, Michelangelo, and Donatello's works in their repository and they can simply pull out one that feels interesting and polish it up a bit. Some of the time necessary for work and practice are still there, but the ultimate results are closer to guaranteed art in one domain than the other.

Commonplacing or slipboxing allows us to take the ability to imitate, which humans are exceptionally good at (Annie Murphy Paul, link tk), and combine those imitations in a way to actively explore and then create new innovative ideas.

Commonplacing can be thought of as lifelong and consistent practice of brainstorming where one captures all the ideas for later use.

Link to - practice makes perfect

Kan, U., Feng, M., & Porter, M. A. (2021). An Adaptive Bounded-Confidence Model of Opinion Dynamics on Networks. ArXiv:2112.05856 [Physics]. http://arxiv.org/abs/2112.05856

McQuillan, L., McAweeney, E., Bargar, A., & Ruch, A. (2020). Cultural Convergence: Insights into the behavior of misinformation networks on Twitter. ArXiv:2007.03443 [Physics]. http://arxiv.org/abs/2007.03443

Segovia-Martín, J., & Tamariz, M. (2020, May 5). Testing early and late connectivity dynamics in the lab: an experiment using 4-agent micro-societies. https://doi.org/10.31234/osf.io/nuf78

"Standards, categories, technologies, and phenomenology are increasingly converging in large-scale information infrastructure." (p. 47)

Convergence gets to how things work out as "scaffolding in the conduct of modern life."