From d2650ff875cdd07e211e110a7678cd7dc9dfe1e4 Mon Sep 17 00:00:00 2001
From: SSuushi <ownermachine@gmail.com>
Date: Fri, 24 Jan 2025 04:59:38 +0000
Subject: [PATCH] Added 10 questions to each section (3) of set N

---
 content/sets/setN.ts | 393 ++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 388 insertions(+), 5 deletions(-)

diff --git a/content/sets/setN.ts b/content/sets/setN.ts
index c573c6f..070be94 100644
--- a/content/sets/setN.ts
+++ b/content/sets/setN.ts
@@ -9,14 +9,397 @@ const setN: Set = {
   header: 'What is wrong with this definition?',
   subSets: [
     {
-      name: 'Subset C1',
+      name: 'Subset N1',
       logicType: 'Basic Translations',
       slugs: ['syllogistic', 'translations', 'basic'],
-      id: 101,
-      title: 'Basic Syllogistic Translations',
-      header: 'Translates into logic as:',
+      id: 3,
+      title: 'Basic Syllogistic Translations: Believing',
+      header: 'Translates into logic as: ',
       isNew: true,
-      questions: [],
+      questions: [
+        {
+          id: '3.1',
+          prompt: 'Believe that you are frivolous',
+          options: [
+            { id: 0, label: '$ \\underline{}u :Fu $' },
+            { id: 1, label: '$ u:F\\underline{u} $' },
+            { id: 2, label: '$ u:F\\underline{u} $' },
+            { id: 3, label: '$ \\underline{u} :F\\underline{u} $' },
+          ],
+          correctId: [0],
+          answer: '',
+        },
+        {
+          id: '3.2',
+          prompt: 'Believe that P is false',
+          options: [
+            { id: 0, label: '$ u:\\sim \\underline{P} $' },
+            { id: 1, label: '$ \\underline{u} :\\sim \\underline{P} $' },
+            { id: 2, label: '$ \\underline{u} :\\sim P $' },
+            { id: 3, label: '$ u:\\sim P $' },
+          ],
+          correctId: [2],
+          answer: '',
+        },
+        {
+          id: '3.3',
+          prompt: 'If you believe S, then believe C',
+          options: [
+            { id: 0, label: '$ (\\underline{}u :S\\supset \\underline{u} :C) $' },
+            { id: 1, label: '$ (u:S\\supset u:C) $' },
+            { id: 2, label: '$ (\\underline{u} :S\\supset u:C) $' },
+            { id: 3, label: '$ (u:S\\supset \\underline{u}C ) $' },
+          ],
+          correctId: [3],
+          answer: '',
+        },
+        {
+          id: '3.4',
+          prompt: 'Believe that C is true',
+          options: [
+            { id: 0, label: '$ u:C $' },
+            { id: 1, label: '$ u:\\underline{C} $' },
+            { id: 2, label: '$ \\underline{u} :C $' },
+            { id: 3, label: '$ \\underline{u} :\\underline{C} $' },
+          ],
+          correctId: [2],
+          answer: '',
+        },
+        {
+          id: '3.5',
+          prompt: 'Don\'t believe that C is false',
+          options: [
+            { id: 0, label: '$ \\sim u:\\sim \\underline{C} $' },
+            { id: 1, label: '$ \\sim \\underline{u} :\\sim C $' },
+            { id: 2, label: '$ \\sim u:\\sim C $' },
+            { id: 3, label: '$ \\sim \\underline{u} :\\sim \\underline{C} $' },
+          ],
+          correctId: [1],
+          answer: '',
+        },
+        {
+          id: '3.6',
+          prompt: 'If you believe B, then believe F',
+          options: [
+            { id: 0, label: '$ (\\underline{u} :B\\supset \\underline{u}:F) $' },
+            { id: 1, label: '$ (u:B\\supset u:F) $' },
+            { id: 2, label: '$ (u:B\\supset \\underline{u}:F) $' },
+            { id: 3, label: '$ (\\underline{u}:B\\supset u:F) $' },
+          ],
+          correctId: [2],
+          answer: '',
+        },
+        {
+          id: '3.7',
+          prompt: 'Believe that C is true',
+          options: [
+            { id: 0, label: '$ u:C $' },
+            { id: 1, label: '$ \\underline{u} :\\underline{C} $' },
+            { id: 2, label: '$ u:C $' },
+            { id: 3, label: '$ \\underline{u} :C $' },
+          ],
+          correctId: [3],
+          answer: '',
+        },
+        {
+          id: '3.8',
+          prompt: 'Don\'t believe that F is false',
+          options: [
+            { id: 0, label: '$ \\sim \\underline{u} :\\sim \\underline{F} $' },
+            { id: 1, label: '$ \\sim u:\\sim \\underline{F} $' },
+            { id: 2, label: '$ \\sim \\underline{u}:\\sim F $' },
+            { id: 3, label: '$ \\sim u:\\sim F $' },
+          ],
+          correctId: [2],
+          answer: '',
+        },
+        {
+          id: '3.9',
+          prompt: 'If you believe F, then you believe C',
+          options: [
+            { id: 0, label: '$ (u:F\\supset u:C) $' },
+            { id: 1, label: '$ (\\underline{u}:F\\supset \\underline{u}:C) $' },
+            { id: 2, label: '$ (u:F\\supset \\underline{u}:C) $' },
+            { id: 3, label: '$ (\\underline{u}:F\\supset u:C) $' },
+          ],
+          correctId: [0],
+          answer: '',
+        },
+        {
+          id: '3.10',
+          prompt: 'Don\'t believe that you are confident',
+          options: [
+            { id: 0, label: '$ \\sim u:Cu $' },
+            { id: 1, label: '$ \\sim u:C\\underline{u} $' },
+            { id: 2, label: '$ \\sim \\underline{u}:C\\underline{u} $' },
+            { id: 3, label: '$ \\sim \\underline{u}:Cu $' },
+          ],
+          correctId: [3],
+          answer: '',
+        },
+      ],
+    },
+    {
+      name: 'Subset N2',
+      logicType: 'Basic Translations',
+      slugs: ['syllogistic', 'translations', 'basic'],
+      id: 3,
+      title: 'Basic Syllogistic Translations: Willing',
+      header: 'Translates into logic as: ',
+      isNew: true,
+      questions: [
+        {
+          id: '3.1',
+          prompt: 'You want Carol to harm you',
+          options: [
+            { id: 0, label: '$ \\underline{u}:Hcu $' },
+            { id: 1, label: '$ u:Hcu $' },
+            { id: 2, label: '$ u:H\\underline{c} u $' },
+            { id: 3, label: '$ \\underline{u}:H\\underline{c} u $' },
+          ],
+          correctId: [2],
+          answer: '',
+        },
+        {
+          id: '3.2',
+          prompt: 'You want everyone to despair',
+          options: [
+            { id: 0, label: '$ u:(x)D\\underline{x} $' },
+            { id: 1, label: '$ \\underline{u}:(x)D\\underline{u} $' },
+            { id: 2, label: '$ u:(x)Dx $' },
+            { id: 3, label: '$ (x)x:D\\underline{u} $' },
+          ],
+          correctId: [0],
+          answer: '',
+        },
+        {
+          id: '3.3',
+          prompt: 'Don\'t combine believe that Harry ought not to fail with wanting Harry to fail',
+          options: [
+            { id: 0, label: '$ (u:O\\sim F\\underline{h}\\supset \\sim u:F\\underline{h} ) $' },
+            { id: 1, label: '$ \\sim (\\underline{u} :O\\sim F\\underline{h}\\cdot u:F\\underline{h}) $' },
+            { id: 2, label: '$ (u:O\\sim F\\underline{h} \\supset \\sim \\underline{u} :F\\underline{h}) $' },
+            { id: 3, label: '$ \\sim (\\underline{u} :O\\sim F\\underline{h} \\cdot \\underline{u} :F\\underline{h}) $' },
+          ],
+          correctId: [3],
+          answer: '',
+        },
+        {
+          id: '3.4',
+          prompt: 'If you believe S, Then don\'t believe C',
+          options: [
+            { id: 0, label: '$ (\\underline{u} :S\\supset \\sim \\underline{u} :C) $' },
+            { id: 1, label: '$ (u:S\\supset \\sim u:C) $' },
+            { id: 2, label: '$ (u:S\\supset \\sim \\underline{u} :C) $' },
+            { id: 3, label: '$ (\\underline{u} :S\\supset \\sim u:C) $' },
+          ],
+          correctId: [2],
+          answer: '',
+        },
+        {
+          id: '3.5',
+          prompt: 'You want everyone to laugh',
+          options: [
+            { id: 0, label: '$ \\underline{u} :(x)L\\underline{x} $' },
+            { id: 1, label: '$ (x)x:L\\underline{u} $' },
+            { id: 2, label: '$ u:(x)Lx $' },
+            { id: 3, label: '$ u:(x)L\\underline{x} $' },
+          ],
+          correctId: [3],
+          answer: '',
+        },
+        {
+          id: '3.6',
+          prompt: 'Don\'t combine believingthat you ought not to bluff with acting(with the intention) to bluff',
+          options: [
+            { id: 0, label: '$ (u:O\\sim B\\underline{u}\\supset \\sim \\underline{u}:B\\underline{u} ) $' },
+            { id: 1, label: '$ (u:O\\sim B\\underline{u}\\supset \\sim B\\underline{u}) $' },
+            { id: 2, label: '$ \\sim (\\underline{u}:O\\sim B\\underline{u}\\cdot \\underline{u}:B\\underline{u}) $' },
+            { id: 3, label: '$ \\sim (\\underline{u}:O\\sim B\\underline{u}\\cdot B\\underline{u}) $' },
+          ],
+          correctId: [2],
+          answer: '',
+        },
+        {
+          id: '3.7',
+          prompt: 'Don\'t want Keith to defraud you',
+          options: [
+            { id: 0, label: '$ \\sim \\underline{u} :D\\underline{k} u $' },
+            { id: 1, label: '$ \\sim \\underline{u} :Dku $' },
+            { id: 2, label: '$ \\sim u:Dku $' },
+            { id: 3, label: '$ \\sim u:D\\underline{k} u $' },
+          ],
+          correctId: [0],
+          answer: '',
+        },
+        {
+          id: '3.8',
+          prompt: 'You want everyone to boast',
+          options: [
+            { id: 0, label: '$ u:(x)B\\underline{x} $' },
+            { id: 1, label: '$ u:(x)Bx $' },
+            { id: 2, label: '$ (x)x:B\\underline{u} $' },
+            { id: 3, label: '$ \\underline{u} :(x)B\\underline{x} $' },
+          ],
+          correctId: [0],
+          answer: '',
+        },
+        {
+          id: '3.9',
+          prompt: 'Don\'t combine believe that you ought not to stay with acting (with the intention) to stay',
+          options: [
+            { id: 0, label: '$ (u:O\\sim S\\underline{u} \\supset \\sim S\\underline{u}) $' },
+            { id: 1, label: '$ \\sim (\\underline{u}:O\\sim S\\underline{u}\\cdot S\\underline{u}) $' },
+            { id: 2, label: '$ \\sim (\\underline{u}:O\\sim S\\underline{u}\\cdot \\underline{u}:S\\underline{u}) $' },
+            { id: 3, label: '$ (u:O\\sim S\\underline{u}\\supset \\sim \\underline{u}:S\\underline{u}) $' },
+          ],
+          correctId: [2],
+          answer: '',
+        },
+        {
+          id: '3.10',
+          prompt: 'If you believe that you ought to invest, then invest',
+          options: [
+            { id: 0, label: '$ (\\underline{u} :Ol\\underline{u} \\supset I\\underline{u} ) $' },
+            { id: 1, label: '$ (u:Ol\\underline{u} \\supset I\\underline{u} ) $' },
+            { id: 2, label: '$ (u:Ol\\underline{u} \\supset \\underline{u} :I\\underline{u} ) $' },
+            { id: 3, label: '$ (\\underline{u} :OI\\underline{u} \\supset \\underline{u} :I\\underline{u} ) $' },
+          ],
+          correctId: [1],
+          answer: '',
+        },
+      ],
+    },
+    {
+      name: 'Subset N3',
+      logicType: 'Basic Translations',
+      slugs: ['syllogistic', 'translations', 'basic'],
+      id: 3,
+      title: 'Basic Syllogistic Translations: Rationality',
+      header: 'Translates into logic as: ',
+      isNew: true,
+      questions: [
+        {
+          id: '3.1',
+          prompt: 'It\'s evident that L and E are both true',
+          options: [
+            { id: 0, label: '$ (O\\underline{u}L\\cdot O\\underline{u}:E ) $' },
+            { id: 1, label: '$ (Ou:L\\cdot Ou:E) $' },
+            { id: 2, label: '$ Ou:(L\\cdot E) $' },
+            { id: 3, label: '$ O\\underline{u}:(L\\cdot E) $' },
+          ],
+          correctId: [3],
+          answer: '',
+        },
+        {
+          id: '3.2',
+          prompt: 'It\'s evident that S is true if and only if it\'s evident that D is true',
+          options: [
+            { id: 0, label: '$ O\\underline{u} :(S\\equiv D) $' },
+            { id: 1, label: '$ (O\\underline{u} :S\\equiv O\\underline{u} :D) $' },
+            { id: 2, label: '$ Ou:(S\\equiv D) $' },
+            { id: 3, label: '$ (Ou:S\\equiv Ou:D) $' },
+          ],
+          correctId: [1],
+          answer: '',
+        },
+        {
+          id: '3.3',
+          prompt: 'It ins\'t evident to you that you\'re charitable',
+          options: [
+            { id: 0, label: '$ \\sim Ou:Cu $' },
+            { id: 1, label: '$ \\sim Ou:C\\underline{u} $' },
+            { id: 2, label: '$ \\sim O\\underline{u} :Cu $' },
+            { id: 3, label: '$ \\sim OCu $' },
+          ],
+          correctId: [2],
+          answer: '',
+        },
+        {
+          id: '3.4',
+          prompt: 'It\'s evident that L and A are both true',
+          options: [
+            { id: 0, label: '$ Ou:(L\\cdot A) $' },
+            { id: 1, label: '$ O\\underline{u} :(L\\cdot A) $' },
+            { id: 2, label: '$ (Ou:L\\cdot Ou:A) $' },
+            { id: 3, label: '$ (O\\underline{u} :L\\cdot O\\underline{u} :A) $' },
+          ],
+          correctId: [1],
+          answer: '',
+        },
+        {
+          id: '3.5',
+          prompt: 'It\'s evident to you that S is true or it\'s evident to you that A is true',
+          options: [
+            { id: 0, label: '$ O\\underline{u} :(S\\vee A) $' },
+            { id: 1, label: '$ (Ou:S\\vee Ou:A) $' },
+            { id: 2, label: '$ Ou:(S\\vee A) $' },
+            { id: 3, label: '$ (O\\underline{u} \\vee O\\underline{u} :A) $' },
+          ],
+          correctId: [3],
+          answer: '',
+        },
+        {
+          id: '3.6',
+          prompt: 'If you ought to believe that S is true then you ought to believe that F is true',
+          options: [
+            { id: 0, label: '$ O\\underline{u} :(S\\supset F) $' },
+            { id: 1, label: '$ Ou:(S\\supset F) $' },
+            { id: 2, label: '$ (O\\underline{u} :S\\supset O\\underline{u} :F) $' },
+            { id: 3, label: '$ (Ou:S\\supset Ou:F) $' },
+          ],
+          correctId: [2],
+          answer: '',
+        },
+        {
+          id: '3.7',
+          prompt: 'It\'s evident to you that if B is true then H is true',
+          options: [
+            { id: 0, label: '$ (O\\underline{u} :B\\supset O\\underline{u}:H) $' },
+            { id: 1, label: '$ (Ou:B\\supset Ou:H) $' },
+            { id: 2, label: '$ O\\underline{u}:(B\\supset H) $' },
+            { id: 3, label: '$ Ou:(B\\supset H) $' },
+          ],
+          correctId: [2],
+          answer: '',
+        },
+        {
+          id: '3.8',
+          prompt: 'It\'s evident that C is true if and only if it\'s evident that B is true',
+          options: [
+            { id: 0, label: '$ (O\\underline{u} :C\\equiv O\\underline{u}:B) $' },
+            { id: 1, label: '$ O\\underline{u}:(C\\equiv B) $' },
+            { id: 2, label: '$ (Ou:C\\equiv Ou:B) $' },
+            { id: 3, label: '$ Ou:(C\\equiv B) $' },
+          ],
+          correctId: [0],
+          answer: '',
+        },
+        {
+          id: '3.9',
+          prompt: 'If it\'s evident that I is true then it\'s evident that A is true',
+          options: [
+            { id: 0, label: '$ (Ou:I\\supset Ou:A) $' },
+            { id: 1, label: '$ O\\underline{u} :(I\\supset A) $' },
+            { id: 2, label: '$ (O\\underline{u} :I\\supset O\\underline{u} :A) $' },
+            { id: 3, label: '$ Ou:(I\\supset A) $' },
+          ],
+          correctId: [2],
+          answer: '',
+        },
+        {
+          id: '3.10',
+          prompt: 'It\'s evident to you that D is true and it\'s evident to you that F is true',
+          options: [
+            { id: 0, label: '$ (O\\underline{u}:D\\cdot O\\underline{u}:F ) $' },
+            { id: 1, label: '$ Ou:(F\\cdot F) $' },
+            { id: 2, label: '$ O\\underline{u}:(D\\cdot F) $' },
+            { id: 3, label: '$ (Ou:D\\cdot Ou:F) $' },
+          ],
+          correctId: [0],
+          answer: '',
+        },
+      ],
     },
   ],
 };