28 Matching Annotations
  1. Nov 2022
    1. okay so remind you what is a sheath so a sheep is something that allows me to 00:05:37 translate between physical sources or physical realms of data and physical regions so these are various 00:05:49 open sets or translation between them by taking a look at restrictions overlaps 00:06:02 and then inferring

      Fixed typos in transcript:

      Just generally speaking, what can I do with this sheaf-theoretic data structure that I've got? Okay, [I'll] remind you what is a sheaf. A sheaf is something that allows me to translate between physical sources or physical realms of data [in the left diagram] and the data that are associated with those physical regions [in the right diagram]

      So these [on the left] are various open sets [an example being] simplices in a [simplicial complex which is an example of a] topological space.

      And these [on the right] are the data spaces and I'm able to make some translation between [the left and the right diagrams] by taking a look at restrictions of overlaps [a on the left] and inferring back to the union.

      So that's what a sheaf is [regarding data structures]. It's something that allows me to make an inference, an inferential machine.

    1. i think so like in social terms the conservatives would say well i like that it benefits from the wisdom of math already invented you're not 00:36:39 throwing anything away you're not you're not throwing it all away and starting over you're taking what we already have and you're you're using it that's great and a libertarian might say i really like that you're free to create as you see fit you can make anything you 00:36:52 want and you're working within this background framework that's minimally invasive it doesn't make a lot of rules for you but it is highly functional i like that it kind of keeps everyone in line while 00:37:03 like satisfying some formal contracts or something while still being uh i'm still free to create and a progressive might say i like about category that theory that everyone can contribute to 00:37:15 making their own world making it more rich adding new ideas uh making it more meaningful understanding connections between things a modern viewpoint would say i like that 00:37:26 it's completely rigorous that it's been used in proving well-known conjectures that people thought were important to prove but also that it's interesting it's useful in science and technology and a postmodern person might say i like 00:37:40 that um that no perspective is right that that there's just all sorts of different categories but that navigating between these perspectives lets you look at problems from all sides or a hippie might say i like that it's 00:37:53 all about relationship and connection or irrelevant i don't know what that means maybe a practical person might say that i like that it's that we can actually use it to organize and learn from big data in 00:38:06 today's world or to manage complexity of software projects that are that are very large and changing all the time i like that you can think about ai and other complex systems with this stuff i think it's relevant and 00:38:19 practical for right now so that's that's my uh tutorial or that's the the part i'm going to record and now i'm going to open it up for questions

      David Spivak discusses how category theory may appeal to different political ideologies for a variety of reasons.

  2. Oct 2022
    1. A much more effective approach is to give them a meaningful problem to struggle with first and then provide them with the knowledge they need to figure it out.99. D. L. Schwartz, T. Martin, Cogn. Instr. 22, 129 (2004). https://doi.org/10.1207/s1532690xci2202_1 When information is presented as useful for solving certain kinds of problems, the brain stores that information so that it is readily accessed and applied when needed to solve novel related problems.

      Rather than teaching broad knowledge first and then presenting problems for practice, teachers may be better off presenting the problems first so that the student might struggle with them and then present the knowledge they need to figure it out. This provides better motivation for the student to understand and absorb that knowledge, seeing that it has value for the current problem as well as related problems.

  3. Jun 2022
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  6. Jan 2022
    1. Graham Allison and Niall Ferguson have called for an “applied history” movement, to better draw lessons from history and apply them to real-world problems, including through the advising of political leaders.

      What about applied anthropology as well?

      Knowledge of progress doesn't mean that it will be applied properly (at all) as the result of politics. This is one of the areas where applied anthropology would be interesting. Its also where a larger group determination of progress is important.

  7. Aug 2021
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  11. Nov 2020
    1. Because medicines have healing or minimizing the negative effects of an illness or an injury as their end, they are good for the human person even if they have deleterious side effects. Thus, chemotherapy to treat a cancer is justifiable by the principle of double effect even if it leads to the foreseen but unintended detrimental consequences of nausea, hair loss, and fatigue (Cataldo 1995). This essay does not address or evaluate the legitimacy of the medical use of marijuana. We note, however, that there are significant blurred boundaries between medical and recreational uses: multiple studies have found that those who used marijuana for purported medical reasons also used it for recreational reasons (Ware et al. 2005; O'Connell and Bou-Matar 2007; Reinarman et al. 2011; Bostwick 2012). Furthermore, patients without recreational experience of marijuana have trouble tolerating its psychoactive effects and often reject continued medical use

      This is an interested statement from both a medical and recreational side of the use of marijuana. Why is it that people who do not use marijuana for recreational have trouble coping with the effects vs. a person who uses it recreationally.

  12. Sep 2020
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  16. Jul 2018
    1. Therefore, well controlled basic science studies are important in resolving outstanding fundamental questions regarding means of treatment in a consistent and well established model

      Yes, but on the other hand, basic science is expensive and does not provide return on investment. That is not good for the economy and businesspeople.

  17. Sep 2016
    1. Research: Student data are used to conduct empirical studies designed primarily to advance knowledge in the field, though with the potential to influence institutional practices and interventions. Application: Student data are used to inform changes in institutional practices, programs, or policies, in order to improve student learning and support. Representation: Student data are used to report on the educational experiences and achievements of students to internal and external audiences, in ways that are more extensive and nuanced than the traditional transcript.

      Ha! The Chronicle’s summary framed these categories somewhat differently. Interesting. To me, the “application” part is really about student retention. But maybe that’s a bit of a cynical reading, based on an over-emphasis in the Learning Analytics sphere towards teleological, linear, and insular models of learning. Then, the “representation” part sounds closer to UDL than to learner-driven microcredentials. Both approaches are really interesting and chances are that the report brings them together. Finally, the Chronicle made it sound as though the research implied here were less directed. The mention that it has “the potential to influence institutional practices and interventions” may be strategic, as applied research meant to influence “decision-makers” is more likely to sway them than the type of exploratory research we so badly need.

  18. Jul 2016
    1. In addition, the discontinuity between classroom theory and practical learning had implications for both the quality of learning and the learners' levels of motivation.