4 Matching Annotations
- Apr 2023
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forum.zettelkasten.de forum.zettelkasten.de
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There is no real difference if you think about the boundaries between reading and notetaking. Moving the eyes over text: Sounds like reading. Highlighting key words while reading: Still sounds like reading. Jotting down keywords in the margins: Some writing, but still could count as reading. Writing tasks in the marings (e.g. "Should compare that to Buddhism"): Don't know. Reformulating key sections in your own words: Sounds like writing. But could be just the externalisation of what could be internal. Does make a difference if you stop and think about what you read or do it in written form?
Perhaps there is a model for reading and note taking/writing with respect to both learning and creating new knowledge that follows an inverse mapping in a way similar to that seen in Galois theory?
Explore this a bit to see what falls out.
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- Jun 2018
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arxiv.org arxiv.org
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Remark1.73.IfPandQare total orders andf:P!Qand1:Q!Pare drawn witharrows bending as in Exercise 1.72, we believe thatfis left adjoint to1iff the arrows donot cross. But we have not proved this, mainly because it is difficult to state precisely,and the total order case is not particularly general
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The preservation of meets and joins, and hence whether a monotone map sustainsgenerative effects, is tightly related to the concept of a Galois connection, or moregenerally an adjunction.
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Galois connections between posets were first considered by Évariste Galois—whodidn’t call them by that name—in the context of a connection he found between “fieldextensions” and “automorphism groups”. We will not discuss this further,
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