Daily notes.
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"_journal/2024-08/2024-08-21.md": "1637b8ec8475cf3eb4f41d1d86cbf5df",
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"_journal/2024-08/2024-08-21.md": "1637b8ec8475cf3eb4f41d1d86cbf5df",
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"_journal/2024-08/2024-08-20.md": "e8bec308d1b29e411c6799ace7ef6571",
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"_journal/2024-08/2024-08-20.md": "e8bec308d1b29e411c6799ace7ef6571",
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"_journal/2024-08-23.md": "3b2feab2cc927e267263cb1e9c173d50",
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"_journal/2024-08-23.md": "3b2feab2cc927e267263cb1e9c173d50",
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"set/natural-numbers.md": "bf73972ec1ca619ba0124169c25b1c39",
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"set/natural-numbers.md": "1135fcfce9759ed4c5689df59b0c9fe3",
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"_journal/2024-08-24.md": "563fad24740e44734a87d7c3ec46cec4",
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"_journal/2024-08-24.md": "563fad24740e44734a87d7c3ec46cec4",
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"_journal/2024-08/2024-08-23.md": "7b5a40e83d8f07ff54cd9708017d029c",
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"_journal/2024-08/2024-08-23.md": "7b5a40e83d8f07ff54cd9708017d029c",
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"_journal/2024-08/2024-08-22.md": "050235d5dc772b542773743b57ce3afe",
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"_journal/2024-08/2024-08-22.md": "050235d5dc772b542773743b57ce3afe",
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"_journal/2024-09-14.md": "774019f651e728faa288041ce4b265d3",
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"_journal/2024-09-14.md": "774019f651e728faa288041ce4b265d3",
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"_journal/2024-09/2024-09-13.md": "8c8f33fdd8242e5ab9adaa797dea7995",
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"_journal/2024-09/2024-09-13.md": "8c8f33fdd8242e5ab9adaa797dea7995",
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"_journal/2024-09/2024-09-12.md": "30968fa3d73c005bdb4acc2025b34e11",
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"_journal/2024-09/2024-09-12.md": "30968fa3d73c005bdb4acc2025b34e11",
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"_journal/2024-09-15.md": "a203f489d0205246b9b625354123046c",
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"_journal/2024-09-15.md": "0e5d1ecd73edf343d3a268b25140a921",
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"_journal/2024-09/2024-09-14.md": "1050e9ae0dfe4196a419105c43c2162f"
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"_journal/2024-09/2024-09-14.md": "1050e9ae0dfe4196a419105c43c2162f",
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"_journal/2024-09-16.md": "bd3f811538b8e8b288b3376246471c0a"
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},
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},
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"fields_dict": {
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"fields_dict": {
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"Basic": [
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"Basic": [
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title: "2024-09-19"
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- [x] Anki Flashcards
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- [x] KoL
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- [x] OGS
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- [ ] Sheet Music (10 min.)
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- [ ] Korean (Read 1 Story)
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title: "2024-09-16"
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- [x] Anki Flashcards
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- [x] KoL
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- [x] OGS
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- [ ] Sheet Music (10 min.)
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- [ ] Korean (Read 1 Story)
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---
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title: "2024-09-17"
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- [x] Anki Flashcards
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- [x] KoL
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- [x] OGS
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- [ ] Sheet Music (10 min.)
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- [ ] Korean (Read 1 Story)
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---
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title: "2024-09-18"
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- [x] Anki Flashcards
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- [x] KoL
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- [x] OGS
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- [ ] Sheet Music (10 min.)
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- [ ] Korean (Read 1 Story)
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@ -243,7 +243,7 @@ A **natural number** is a set that belongs to every inductive set.
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%%ANKI
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%%ANKI
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Basic
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Basic
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How is a natural number *defined* in set theory?
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How is the set of natural numbers *defined* in set theory?
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Back: As a set belonging to every inductive set.
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Back: As a set belonging to every inductive set.
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Reference: Herbert B. Enderton, *Elements of Set Theory* (New York: Academic Press, 1977).
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Reference: Herbert B. Enderton, *Elements of Set Theory* (New York: Academic Press, 1977).
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<!--ID: 1724486756997-->
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<!--ID: 1724486756997-->
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@ -506,7 +506,7 @@ END%%
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%%ANKI
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%%ANKI
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Basic
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Basic
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Which condition of Peano system $\langle N, S, e \rangle$ does the following depict?
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Which condition of Peano system $\langle N, S, e \rangle$ does the following violate?
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![[peano-system-i.png]]
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![[peano-system-i.png]]
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Back: $e \not\in \mathop{\text{ran}}S$
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Back: $e \not\in \mathop{\text{ran}}S$
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Reference: Herbert B. Enderton, *Elements of Set Theory* (New York: Academic Press, 1977).
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Reference: Herbert B. Enderton, *Elements of Set Theory* (New York: Academic Press, 1977).
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@ -523,7 +523,7 @@ END%%
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%%ANKI
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%%ANKI
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Basic
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Basic
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Which condition of Peano system $\langle N, S, e \rangle$ does the following depict?
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Which condition of Peano system $\langle N, S, e \rangle$ does the following violate?
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![[peano-system-ii.png]]
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![[peano-system-ii.png]]
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Back: $S$ is one-to-one.
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Back: $S$ is one-to-one.
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Reference: Herbert B. Enderton, *Elements of Set Theory* (New York: Academic Press, 1977).
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Reference: Herbert B. Enderton, *Elements of Set Theory* (New York: Academic Press, 1977).
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