feat: changed argument formatting

frontend/src/Debate/Arguments/Medicine/ApoBCVD.elm

@@ -2,13 +2,36 @@ module Debate.Arguments.Medicine.ApoBCVD exposing (..)
 
 import Debate.Types exposing (..)
 
+
 argumentApoBCVD : Argument
 argumentApoBCVD =
+    let
+        argumentNotation : ArgumentStructure
+        argumentNotation =
+            { notationP1 = "∀x(Px↔Qx)"
+            , notationP2 = "Qw"
+            , notationP3 = ""
+            , notationP4 = ""
+            , notationP5 = ""
+            , notationP6 = ""
+            , notationP7 = ""
+            , notationP8 = ""
+            , notationP9 = ""
+            , notationP10 = ""
+            , notationC = "Pw"
+            }
+    in
     { argumentTitle = "Argument for Atherogenic ApoB"
     , propositionTitle = "ApoB-containing lipoproteins dose-dependently cause atherosclerosis."
     , propositionReductio = ""
     , propositionSummary = "ApoB-containing lipoproteins consistently and proportionately associate with increased plaque volume after controlling for relevant confounders, which satisfies the conditions outlined for an exposure to cause atherosclerosis."
-    , proofLink  = "https://www.umsu.de/trees/#(~6x(Px~4Qx)),(Qw)|=(Pw)"
+    , proofLink = "https://www.umsu.de/trees/#(~6x(Px~4Qx)),(Qw)|=(Pw)"
+    , proofText =
+        argumentNotation.notationP1
+            ++ ", "
+            ++ argumentNotation.notationP2
+            ++ ", ∴ "
+            ++ argumentNotation.notationC
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) dose-dependently causes atherosclerosis"
@@ -26,14 +49,14 @@ argumentApoBCVD =
     , argumentFormalization =
         [ { premises =
                 [ { premise = "For all things, a substance dose-dependently causes atherosclerosis if, and only if, a substance consistently, linearly, and proportionately associates with increased plaque volume after adjustment or control over relevant confounders and covariates."
-                  , notation = "(∀x(Px↔Qx))"
+                  , notation = argumentNotation.notationP1
                   }
                 , { premise = "ApoB-containing lipoproteins consistently, linearly, and proportionately associates with increased plaque volume after adjustment or control over relevant confounders and covariates."
-                  , notation = "(Qw)"
+                  , notation = argumentNotation.notationP2
                   }
                 ]
           , conclusion = "Therefore, ApoB-containing lipoproteins dose-dependently cause atherosclerosis."
-          , conclusionNotation = "(∴Pw)"
+          , conclusionNotation = argumentNotation.notationC
           }
         ]
-    }
+    }

frontend/src/Debate/Arguments/Nutrition/AnabolicKeto.elm

@@ -10,6 +10,7 @@ argumentAnabolicKeto =
     , propositionReductio = ""
     , propositionSummary = "A higher proportion of amino acids are spent on gluconeogenesis while on ketogenic diets, reducing the amount available for hypertrophy. This likely costs anabolic potential on ketogenic diets compared to non-ketogenic diets."
     , proofLink = "https://www.umsu.de/trees/#(P~5Q),(P),(Q~5R)|=(R)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "a higher proportion of amino acids are spent on gluconeogenesis while on ketogenic diets compared to non-ketogenic diets"

frontend/src/Debate/Arguments/Nutrition/AntagonisticPleiotropy.elm

@@ -10,6 +10,7 @@ argumentAntagonisticPleiotropy =
     , propositionReductio = ""
     , propositionSummary = "Humans have more genetic adaptations to ancestral foods than novel foods, which makes the long-term negative consequences of antagonistic pleiotropy a greater concern for ancestral foods."
     , proofLink = "https://www.umsu.de/trees/#(P~5Q),(Q~5R),(P)|=(R)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "humans have more genetic adaptations to ancestral foods than novel foods"

frontend/src/Debate/Arguments/Nutrition/CarbsObesity.elm

@@ -10,6 +10,7 @@ argumentCarbsObesity =
     , propositionReductio = ""
     , propositionSummary = "There are a number of predictions made from the hypothesis that carbohydrates uniquely cause obesity. One of those predictions is that obesity would track with carbohydrate intake, but it doesn't"
     , proofLink  = "https://www.umsu.de/trees/#(P~5Q),(~3Q)|=(~3P)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "carbs uniquely cause fat accumulation or obesity"

frontend/src/Debate/Arguments/Nutrition/DietaryCholesterol.elm

@@ -10,6 +10,7 @@ argumentDietaryCholesterol =
     , propositionReductio = ""
     , propositionSummary = "LDL causally associates with heart disease in a linear and proportional manner, and in all cases exposures that durably increase LDL over time produce likewise increases in heart disease risk. Dietary cholesterol is one such exposure."
     , proofLink  = "https://www.umsu.de/trees/#(~6x(Px~5Qx)),(Pd)|=(Qd)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "consuming high amounts of (x) increases LDL"

frontend/src/Debate/Arguments/Nutrition/FructoseNAFLD.elm

@@ -10,6 +10,7 @@ argumentFructoseNAFLD =
     , propositionReductio = ""
     , propositionSummary = "Experimental investigations into fructose overfeeding have consistently failed to produce a fatty liver phenotype in humans. This suggests that fructose, contrary to popular belief in some domains, does not uniquely cause fatty liver disease."
     , proofLink  = "https://www.umsu.de/trees/#(P~5~3Q),(P)|=(~3Q)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "experimental investigations into fructose overfeeding consistently fail to recreate a fatty liver phenotype in humans"

frontend/src/Debate/Arguments/Nutrition/HealthPromotingFoods.elm

@@ -9,6 +9,7 @@ argumentHealthPromotingFoods =
     , propositionReductio = ""
     , propositionSummary = "Given that food is, by its very definition, material that provides essential nutrients and energy to sustain bodily functions and growth, it follows that anything classified as food must be inherently health-promoting by its very nature."
     , proofLink  = "https://www.umsu.de/trees/#(P~5Q),(P)|=(Q)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "food is defined as material consisting essentially of protein, carbohydrate, and/or fat used in the body of an organism to sustain growth, repair, and vital processes and to furnish energy"

frontend/src/Debate/Arguments/Nutrition/HealthSeeker.elm

@@ -10,6 +10,7 @@ argumentHealthSeeker =
     , propositionReductio = ""
     , propositionSummary = "If someone values consuming ancestral foods over novel foods because they have the overall value of reducing disease risk, but a novel food reduces disease risk when replacing an ancestral food, they would be acting against their values by rejecting the novel food."
     , proofLink = "https://www.umsu.de/trees/#(~7x(Px)~1~7y(Qy)~5~6x~6y(~3Rxy~5Sx)),(~7x(Px)),(~7y(Qy))|=(~6x~6y(~3Rxy~5Sx))"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) favours consuming ancestral foods to the exclusion of (y) because they value reducing disease risk"

frontend/src/Debate/Arguments/Nutrition/HealthyChocolate.elm

@@ -10,6 +10,7 @@ argumentHealthyChocolate =
     , propositionReductio = ""
     , propositionSummary = "Despite chocolate containing high amounts of saturated fat, populations that consume more chocolate do not exhibit higher rates of atherosclerosis, suggesting that chocolate does not have the same effect on heart disease risk as most other saturated fat sources."
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~5Qx)),(~3Qc)|=(~3Pc)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) causes atherosclerosis"

frontend/src/Debate/Arguments/Nutrition/HealthyDairy.elm

@@ -9,6 +9,7 @@ argumentHealthyDairy =
     , propositionReductio = ""
     , propositionSummary = "The diet-heart hypothesis would predict that populations consuming more dairy foods should have higher rates of the disease. However, even when you account for factors that could plausibly influence the results, non-churned, non-homogenized dairy have been shown to consistently reduce the risk of morbidity and mortality, strongly suggesting that they directly contribute to better health outcomes, particularly with respect to cardiovascular disease and colorectal cancer."
     , proofLink  = "https://www.umsu.de/trees/#(~6x(Px~5Qx)),(~3Qh)|=(~3Ph)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) causes atherosclerosis"

frontend/src/Debate/Arguments/Nutrition/HealthyFattyFish.elm

@@ -10,6 +10,7 @@ argumentHealthyFattyFish =
     , propositionReductio = ""
     , propositionSummary = "Even when you account for factors that could plausibly influence the results, fatty fish have been shown to consistently reduce the risk of morbidity and mortality, strongly suggesting that they directly contribute to better health outcomes, particularly with respect to cardiovascular disease."
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~4Qx)),(Qf)|=(Pf)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is overwhelmingly healthy"

frontend/src/Debate/Arguments/Nutrition/HealthyFibre.elm

@@ -10,6 +10,7 @@ argumentHealthyFibre =
     , propositionReductio = ""
     , propositionSummary = "Even when you account for factors that could plausibly influence the results, both refined and whole fibre have been shown to consistently reduce the risk of morbidity and mortality, strongly suggesting that they directly contribute to better health outcomes, particularly with respect to cardiovascular disease."
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~4Qx)),(Qb)|=(Pb)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is overwhelmingly healthy"

frontend/src/Debate/Arguments/Nutrition/HealthyFood.elm

@@ -10,6 +10,7 @@ argumentHealthyFood =
     , propositionReductio = ""
     , propositionSummary = "A food is considered healthier than another in a specific context if it increases the time before illness or disease sets in when replacing the other food. On a desert island, since Pepsi can extend the time before starvation compared to leafy greens, it is considered healthier than leafy greens in that context."
     , proofLink = "https://www.umsu.de/trees/#(~6x~6y~6z~6w(Pxyw~4Qwxzy)),(Qdpsl)|=(Ppld)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x,y,w)"
           , definiens = "(x) is healthy compared to (w) when in (y)"

frontend/src/Debate/Arguments/Nutrition/HealthyPlantFoods.elm

@@ -10,6 +10,7 @@ argumentHealthyPlantFoods =
     , propositionReductio = ""
     , propositionSummary = "Since whole plant foods consistently consistently associate with reduced risk of illness and death, it is reasonable to conclude that whole plant foods are overwhelmingly healthy."
     , proofLink  = "https://www.umsu.de/trees/#(~6x(Px~4Qx)),(Qf)|=(Pf)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is overwhelmingly healthy"

frontend/src/Debate/Arguments/Nutrition/HealthySeedOils.elm

@@ -10,6 +10,7 @@ argumentHealthySeedOils =
     , propositionReductio = ""
     , propositionSummary = "Even when you account for factors that could plausibly influence the results, non-hydrogenated vegetable oils have been shown to consistently reduce the risk of morbidity and mortality, strongly suggesting that they directly contribute to better health outcomes."
     , proofLink  = "https://www.umsu.de/trees/#(~6x(Px~5Qx)),(Pv)|=(Qv)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is overwhelmingly healthy"

frontend/src/Debate/Arguments/Nutrition/HealthySoy.elm

@@ -10,6 +10,7 @@ argumentHealthySoy =
     , propositionReductio = ""
     , propositionSummary = "Even when you account for factors that could plausibly influence the results, non-hydrogenated soy products have been shown to consistently reduce the risk of morbidity and mortality, strongly suggesting that they directly contribute to better health outcomes, particularly with respect to cardiovascular disease."
     , proofLink  = "https://www.umsu.de/trees/#(~6x(Px~4Qx)),(Qs)|=(Ps)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is overwhelmingly healthy"

frontend/src/Debate/Arguments/Nutrition/Malondialdehyde.elm

@@ -10,6 +10,7 @@ argumentMalondialdehyde =
     , propositionReductio = ""
     , propositionSummary = "If one takes the view that in order for a substance to increase the risk of atherosclerosis, it must facilitate the oxidative modification of LDL particles via malondialdehyde production, and one also affirms that omega-3s are anti-atherogenic, then this would imply that all fatty acids that produce malondialdehyde, including omega-3s, must also be atherogenic, which contradicts the their belief that omega-3s are heart-healthy."
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~4Qx)),(Qm),(Pm~5~6x(Rx))%7C=(Ro)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) increases the risk of atherosclerosis"

frontend/src/Debate/Arguments/Nutrition/Omega3Omega6Ratio.elm

@@ -9,6 +9,7 @@ argumentOmega3Omega6Ratio =
     , propositionReductio = ""
     , propositionSummary = "More often than not, the associated risks of a high omega-6/omega-3 ratio are better explained by omega-3 alone. In multivariable analyses, the ratio looks like it matters, but in univariable anaylses, low omega-3 is almost always driving the risk via lowering the denominator."
     , proofLink  = "https://www.umsu.de/trees/#(P~5Q),(~3Q)|=(~3P)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "increases or decreases in disease risk associated with a high or low omega-6/omega-3 ratio are better explained by changes in omega-3 alone"

frontend/src/Debate/Arguments/Nutrition/PlantBasedCVDReversal.elm

@@ -10,6 +10,7 @@ argumentPlantBasedCVDReversal =
     , propositionReductio = ""
     , propositionSummary = "To date, there is not a single case of supposed heart disease reversal from a plant-based diet that is actually compatible with  established definitions of heart disease reversal in the literature."
     , proofLink  = "https://www.umsu.de/trees/#(P~1~3Q~5~3R),(P),(~3Q)|=(~3R)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "there are established definitions for atherosclerosis reversal in the domain of cardiology"

frontend/src/Debate/Arguments/Nutrition/PolyphenolReductio.elm

@@ -10,6 +10,7 @@ argumentPolyphenolReductio =
     , propositionReductio = "asdasd"
     , propositionSummary = "If one is committed to the notions that polyphenols in plants are bad for humans, and that grass-fed red meat is the healthiest available type of red meat, then they're pragmatically committed to being pro-GMO to lower the grass-derived polyphenol content of grass-fed beef."
     , proofLink = "https://www.umsu.de/trees/#(~6x~6y(Px~1Qxy~5Rxy)),(Pp),(Qpg),(Rpg~5Spg),(Spg~5Wp)|=(Wp)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is harmful"

frontend/src/Debate/Arguments/Nutrition/SodiumCVD.elm

@@ -9,6 +9,7 @@ argumentSodiumCVD =
     , propositionReductio = ""
     , propositionSummary = "In all of the strongest analysis on the relationship between sodium intake and cardiovascular disease risk, there is a linear and proportional relationship. Particularly when the strongest measurement methods are used, such as multiple 24-hour urinary collections."
     , proofLink  = "https://www.umsu.de/trees/#(~6x(Px~1Q~5Rx)),(Ps),(Q)|=(Rs)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) consistently raises blood pressure in controlled studies"

frontend/src/Debate/Arguments/Nutrition/TMAOCausality.elm

@@ -10,6 +10,7 @@ argumentTMAOCausality =
     , propositionTitle = "TMAO is not likely to be causative of heart disease."
     , propositionSummary = "In the strongest research we have on the relationship between TMAO and heart disease risk, such as with Mendelian randomization and genome-wide associational studies, there is no persuasive causal link between TMAO in the blood and heart disease risk."
     , proofLink  = "https://www.umsu.de/trees/#(~6x(Px~4Qx)),(~3Qt)|=(~3Pt)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is likely to be causative of heart diseas"

frontend/src/Debate/Arguments/Nutrition/UnhealthyCoconutOil.elm

@@ -10,6 +10,7 @@ argumentUnhealthyCoconutOil =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~1Qx~5~3Rx)),(Pc),(Qc)|=(~3Rc)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "a given (x) increases LDL-C at a similar rate to other saturated fat sources"

frontend/src/Debate/Arguments/Nutrition/UnhealthyProcessedMeat.elm

@@ -10,6 +10,7 @@ argumentUnhealthyProcessedMeat =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~4Qx)),(Qs)|=(Ps)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is overwhelmingly unhealthy"

frontend/src/Debate/Arguments/Nutrition/UnhealthyRedMeat.elm

@@ -10,6 +10,7 @@ argumentUnhealthyRedMeat =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~4Qx)),(Qm)|=(Pm)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is overwhelmingly unhealthy"

frontend/src/Debate/Arguments/Nutrition/UnhealthySaturatedFat.elm

@@ -10,6 +10,7 @@ argumentUnhealthySaturatedFat =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~4Qx)),(Qf)|=(Pf)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is overwhelmingly unhealthy"

frontend/src/Debate/Arguments/Philosophy/Abortion.elm

@@ -10,6 +10,7 @@ argumentAbortion =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(P~2Q~5R),(P),(Q),((R~1F~1~3H)~5M),(F),(~3H),(M~5~3W)%7C=(~3W)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "one consents to becoming pregnant"

frontend/src/Debate/Arguments/Philosophy/Agnosticism.elm

@@ -10,6 +10,7 @@ argumentAgnosticism =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x~6y(~3Pxy~5~3Qxy)),(~6x~6y(~3Qxy~5Rxy)),(~3Por)|=(Ror)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x,y)"
           , definiens = "(x) can unpack what evidence would lead them to change their doxastic attitude on (y)"

frontend/src/Debate/Arguments/Philosophy/AgriculturalPredation.elm

@@ -10,6 +10,7 @@ argumentAgriculturalPredation =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x~6y~6z(Px~4Qxyz~1(Rxyz~2Sxyz)~1Wxyz)),(Qahl),(Rahl~2Sahl),(Wahl)%7C=(Pa)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) counts as predation"

frontend/src/Debate/Arguments/Philosophy/AnimalRights.elm

@@ -10,6 +10,7 @@ argumentAnimalRights =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~5~3Qx)),(~3Pa~5~7t(Rta~5(Rth~5~3Ph))),(~3~7t(Rta~5(Rth~5~3Ph))),(Pa)|=(~3Qa)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) has moral worth"

frontend/src/Debate/Arguments/Philosophy/AntiRewilding.elm

@@ -10,6 +10,7 @@ argumentAntiRewilding =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink  = "https://www.umsu.de/trees/#(~6x(Px~5~3Qx)),(Pa),(~3Qa~5~3R),(~3R~5Sa)|=(Sa)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) has negative rights"

frontend/src/Debate/Arguments/Philosophy/AntiVandalism.elm

@@ -10,6 +10,7 @@ argumentAntiVandalism =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(P~5Q),(P),(Q~5R)%7C=(R)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "zoos must spend extra money cleaning graffiti"

frontend/src/Debate/Arguments/Philosophy/ColonizingNature.elm

@@ -10,6 +10,7 @@ argumentColonizingNature =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink  = "https://www.umsu.de/trees/#(P~1~3Q~1~3R~1~3S~5W),(P),(~3Q),(~3R),(~3S)%7C=(W)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "the natural world contains intolerable rights violations"

frontend/src/Debate/Arguments/Philosophy/CropDeaths.elm

@@ -10,6 +10,7 @@ argumentCropDeaths =
     , propositionReductio = ""
     , propositionSummary = "We can't claim to know that cropland kills more animals than wildland, because if we did know this, there would be evidence for it, and there isn't any such evidence."
     , proofLink  = "https://www.umsu.de/trees/#(P~5Q),(~3Q)%7C=(~3P)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "it is known that cropland leads to more animal death than wildland"

frontend/src/Debate/Arguments/Philosophy/DairyCowRape.elm

@@ -10,6 +10,7 @@ argumentDairyCowRape =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink  = "https://www.umsu.de/trees/#(~6x~6y(Px~4(Qxy~1~3Ryx))),(Qae),(~3Rea)|=(Pa)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) qualifies as rape"

frontend/src/Debate/Arguments/Philosophy/EfilismPatrolSquad.elm

@@ -5,11 +5,39 @@ import Debate.Types exposing (..)
 
 argumentEfilismPatrolSquad : Argument
 argumentEfilismPatrolSquad =
+    let
+        argumentNotation : ArgumentStructure
+        argumentNotation =
+            { notationP1 = "P→Q"
+            , notationP2 = "¬Q"
+            , notationP3 = "¬P∧R→¬S"
+            , notationP4 = "R"
+            , notationP5 = "¬S→W"
+            , notationP6 = ""
+            , notationP7 = ""
+            , notationP8 = ""
+            , notationP9 = ""
+            , notationP10 = ""
+            , notationC = "W"
+            }
+    in
     { argumentTitle = "The Eternal Intergalactic Sentience Patrol Squad"
     , propositionTitle = "Efilists are committed to pragmatic natalism."
     , propositionReductio = "Efilists fundamentally believe that sentient life is inherently characterized by suffering and that the most ethical action is to prevent the creation of any new sentient beings, ultimately aiming to completely eliminate all conscious life in the universe to end suffering permanently."
     , propositionSummary = "If efilists follow their own logic to its ultimate conclusion, they would paradoxically be committed to a form of pragmatic natalism - the very opposite of their core philosophical stance."
     , proofLink = "https://www.umsu.de/trees/#(P~5Q),(~3Q),(~3P~1R~5~3S),(R),(~3S~5W)|=(W)"
+    , proofText =
+        argumentNotation.notationP1
+            ++ ", "
+            ++ argumentNotation.notationP2
+            ++ ", "
+            ++ argumentNotation.notationP3
+            ++ ", "
+            ++ argumentNotation.notationP4
+            ++ ", "
+            ++ argumentNotation.notationP5
+            ++ ", ∴ "
+            ++ argumentNotation.notationC
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "humans abstaining from procreation maximally reduces rights violations"
@@ -30,23 +58,23 @@ argumentEfilismPatrolSquad =
     , argumentFormalization =
         [ { premises =
                 [ { premise = "If humans abstaining from procreation maximally reduces rights violations, then humans have sterilized all sentient life in the universe."
-                  , notation = "(P→Q)"
+                  , notation = argumentNotation.notationP1
                   }
                 , { premise = "Humans have not sterilized all sentient life in the universe."
-                  , notation = "(¬Q)"
+                  , notation = argumentNotation.notationP2
                   }
                 , { premise = "If humans abstaining from procreation does not maximally reduce rights violations and many more generations are required to sterilize all sentient life in the universe, then efilists should not abstain from procreation until all sentient life in the universe is sterilized."
-                  , notation = "(¬P∧R→¬S)"
+                  , notation = argumentNotation.notationP3
                   }
                 , { premise = "Many more generations are required to sterilize all sentient life in the universe."
-                  , notation = "(R)"
+                  , notation = argumentNotation.notationP4
                   }
                 , { premise = "If efilists should not abstain from procreation until all sentient life in the universe is sterilized, then efilists are committed to pragmatic natalism."
-                  , notation = "(¬S→W)"
+                  , notation = argumentNotation.notationP5
                   }
                 ]
           , conclusion = "Therefore, efilists are committed to pragmatic natalism."
-          , conclusionNotation = "(∴W)"
+          , conclusionNotation = argumentNotation.notationC
           }
         ]
     }

frontend/src/Debate/Arguments/Philosophy/EthicalSlurs.elm

@@ -10,6 +10,7 @@ argumentEthicalSlurs =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~4Qx)),(~6x(~3Px~5Rx)),(~3Pr),(~3Qr~1Rr~5Sr),(Sr~5Wr)|=(Wr)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x)'s negative connotations have been neutralised"

frontend/src/Debate/Arguments/Philosophy/FineTuning.elm

@@ -10,6 +10,7 @@ argumentFineTuning =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~5Qx)),(Pg),(Qg~5R)%7C=(R)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is finely tuned"

frontend/src/Debate/Arguments/Philosophy/ImmortalityReductio.elm

@@ -10,6 +10,7 @@ argumentImmortalityReductio =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x~6y(Hx~5~3Rxy)),(Hs)%7C=(~3Rsd)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "humans undergo (x)"

frontend/src/Debate/Arguments/Philosophy/OddOrderPredators.elm

@@ -10,6 +10,7 @@ argumentOddOrderPredators =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~5~3Qx)),(Pa),(~3Qa~5R)%7C=(R)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) has negative rights"

frontend/src/Debate/Arguments/Philosophy/Ostroveganism.elm

@@ -10,6 +10,7 @@ argumentOstroveganism =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~4Qx~1Rx~1(Sx~2Wx))),(Qc~1~3Rc~1Sc~1~3Wc),(~3Pc~5~6x(~3Tx))|=(~3Tb)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) counts as a brain"

frontend/src/Debate/Arguments/Philosophy/PollinationReductio.elm

@@ -10,6 +10,7 @@ argumentPollinationReductio =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink  = "https://www.umsu.de/trees/#(~6x(Px~4~3Qx)),(Qb),(~3Pb~5~6y(~3Ry))|=(~3Ra)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is vegan"

frontend/src/Debate/Arguments/Philosophy/ScratcherPioneers.elm

@@ -10,6 +10,7 @@ argumentScratcherPioneers =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~4Qx~2Rx~2Sx)),(Qt),(Rt),(St)%7C=(Pt)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is a scratcher"

frontend/src/Debate/Arguments/Philosophy/TransPeople.elm

@@ -10,6 +10,7 @@ argumentTransPeople =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~4Rx~1Wx)),(~6x(Qx~4Sx~1Wx)),(Ra~1Wa),(Sg~1Wg)|=(Pa~1Qg)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "Male"
           , definiens = "the cluster of traits that associate with small, but not large, gametes."

frontend/src/Debate/Arguments/Philosophy/VeganSocietyReductio.elm

@@ -10,6 +10,7 @@ argumentVeganSocietyReductio =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink  = "https://www.umsu.de/trees/#(~6x(Px~4~3Qx)),(~6x~6y(~3Rx~5~3Q(e(y)))),(~3Rg)%7C=(P(e(g)))"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "it is vegan to do (x)"

frontend/src/Debate/Arguments/Politics/BoobyTrapPagers.elm

@@ -10,6 +10,7 @@ argumentBoobyTrapPagers =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink  = "https://www.umsu.de/trees/#(~6x(Px~4(Qx~1Rx~1Sx))),(Qp),(Rp),(~3Sp)|=(~3Pp)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) is a booby-trap"

frontend/src/Debate/Arguments/Science/EpidemiologyCausality.elm

@@ -10,6 +10,7 @@ argumentEpidemiologyCausality =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink = "https://www.umsu.de/trees/#(~6x(Px~5Qx)),(Pe)|=(Qe)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x)"
           , definiens = "(x) consistently identifies associations that are later confirmed by randomized controlled trials"

frontend/src/Debate/Arguments/Science/FlatEarthDebunk.elm

@@ -10,6 +10,7 @@ argumentFlatEarthDebunk =
     , propositionReductio = ""
     , propositionSummary = "The argument is structured to demonstrate that, within the context of a flat Earth model, if the stars are perceived as rotating counter-clockwise from the center, they cannot also be perceived as rotating clockwise from any point on the Earth."
     , proofLink = "https://www.umsu.de/trees/#(~6x~6y~6z(Pxy~5(Qyz~5Rxz))),(Pkt~1Qta),(Rka~5~3Ska)|=(~3Ska)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P(x,y)"
           , definiens = "(x) is perceived as rotating counter-clockwise from point (y)"

frontend/src/Debate/Arguments/Science/TruncatedMeta.elm

@@ -10,6 +10,7 @@ argumentTruncatedMeta =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink  = "https://www.umsu.de/trees/#(P~5Q),(P)%7C=(Q)"
+    , proofText = ""
     , definitionTable =
         [ { definiendum = "P"
           , definiens = "underpowered studies provide weaker causal estimates than adequately powered studies"

frontend/src/Debate/Arguments/Template.elm

@@ -10,6 +10,7 @@ argument =
     , propositionReductio = ""
     , propositionSummary = "Summary"
     , proofLink  = ""
+    , proofText = ""
     , definitionTable =
         [ { definiendum = ""
           , definiens = ""

frontend/src/Debate/Helpers.elm

@@ -9,7 +9,7 @@ import Element.Background as B exposing (..)
 import Element.Border as D exposing (..)
 import Element.Events as V exposing (..)
 import Element.Font as F exposing (..)
-import Html
+import Html exposing (div, hr)
 import Html.Attributes as H exposing (style, title, wrap)
 import Layouts
 import Page exposing (Page)
@@ -30,7 +30,7 @@ argumentMaker argument =
             in
             List.indexedMap
                 (\index argumentEntry ->
-                    column (paragraphFormat ++ [ spacing 3, paddingEach { top = 30, right = 0, bottom = 0, left = 0 } ])
+                    column (paragraphFormat ++ [ spacing 3, paddingEach { top = 0, right = 0, bottom = 0, left = 0 }, E.width <| px 550, centerX ])
                         (List.indexedMap
                             (\premiseIndex premiseWithNotation ->
                                 column argumentFormatting
@@ -40,7 +40,7 @@ argumentMaker argument =
                                             |> el [ F.color colourTheme.nonHighlightedText, F.regular, paddingEach { top = 0, right = 0, bottom = 0, left = 5 } ]
                                         ]
                                     , paragraph argumentFormatting
-                                        [ text premiseWithNotation.notation
+                                        [ text ("(" ++ premiseWithNotation.notation ++ ")")
                                             |> el [ F.color colourTheme.highlightText, F.bold ]
                                         ]
                                     ]
@@ -53,7 +53,7 @@ argumentMaker argument =
                                             |> el [ F.color colourTheme.nonHighlightedText, F.regular, paddingEach { top = 0, right = 0, bottom = 0, left = 5 } ]
                                         ]
                                     , paragraph argumentFormatting
-                                        [ text argumentEntry.conclusionNotation
+                                        [ text ("(∴" ++ argumentEntry.conclusionNotation ++ ")")
                                             |> el [ F.color colourTheme.highlightText, F.bold ]
                                         ]
                                     ]
@@ -84,12 +84,26 @@ argumentMaker argument =
                         ]
     in
     column
-        [ paragraphWidth, E.alignLeft, spacing 8, paddingEach { top = 0, right = 0, bottom = 60, left = 0 } ]
+        [ paragraphWidth, E.alignLeft, spacing 8, paddingEach { top = 0, right = 0, bottom = 0, left = 0 } ]
-        [ paragraph (paragraphBoldFormat ++ [ F.size 20 ])
+        [ paragraph
-            [ newTabLink []
+            (paragraphBoldFormat
-                { url = argument.proofLink
+                ++ [ F.size 20
-                , label = transitionNonHighlightedLinkHover <| text argument.argumentTitle
+                   , F.color colourTheme.backgroundColour
-                }
+                   , B.color colourTheme.highlightText
+                   , paddingEach { top = 6, bottom = 2, left = 12, right = 12 }
+                   , D.width 1
+                   , D.rounded 20
+                   , alignBottom
+                   , F.center
+                   , transitionStyle
+                   , mouseOver
+                        [ B.color colourTheme.highlightTextHover
+                        , F.color colourTheme.nonHighlightedText
+                        , D.color colourTheme.highlightTextHover
+                        ]
+                   ]
+            )
+            [ text argument.argumentTitle
 
             --create expandable text for this in the future
             ]
@@ -115,11 +129,11 @@ argumentMaker argument =
                 [ E.width fill, E.alignLeft ]
                 [ paragraph (paragraphBoldFormat ++ [ F.size 18 ]) [ text argument.propositionSummary |> el [ F.color colourTheme.nonHighlightedText, F.regular, F.size 16 ] ] ]
             ]
-        , wrappedRow (paragraphBoldFormat ++ [ E.alignLeft, E.width fill ])
+        , wrappedRow (paragraphBoldFormat ++ [ E.alignLeft, E.width fill, paddingEach { top = 10, right = 0, bottom = 10, left = 0 } ])
             [ E.table
                 [ spacing 0
                 , D.rounded 10
-                , D.width 1
+                , D.width 2
                 , D.color colourTheme.nonHighlightedDarkText
                 , clip
                 ]
@@ -176,5 +190,69 @@ argumentMaker argument =
                     ]
                 }
             ]
-        , column [ centerX ] argRows
+        , column [ centerX ]
+            (argRows
+                ++ [ column [ paragraphWidth, paddingEach { top = 5, right = 0, bottom = 0, left = 0 } ]
+                        [ row [ centerX, E.width fill ]
+                            [ column [ E.alignLeft ]
+                                [ newTabLink
+                                    (paragraphBoldFormat
+                                        ++ [ F.size 18
+                                           , F.color colourTheme.backgroundColour
+                                           , B.color colourTheme.highlightText
+                                           , paddingEach { top = 6, bottom = 2, left = 12, right = 12 }
+                                           , D.width 1
+                                           , D.rounded 20
+                                           , E.width <| px 120
+                                           , F.center
+                                           , E.alignRight
+                                           , transitionStyle
+                                           , mouseOver
+                                                [ B.color colourTheme.highlightTextHover
+                                                , F.color colourTheme.nonHighlightedText
+                                                , D.color colourTheme.highlightTextHover
+                                                ]
+                                           ]
+                                    )
+                                    { url = argument.proofLink
+                                    , label = text "Proof Tree"
+                                    }
+                                ]
+                            , column [ E.alignRight ]
+                                [ newTabLink
+                                    (paragraphBoldFormat
+                                        ++ [ F.size 18
+                                           , F.color colourTheme.backgroundColour
+                                           , B.color colourTheme.highlightText
+                                           , paddingEach { top = 6, bottom = 2, left = 12, right = 12 }
+                                           , D.width 1
+                                           , D.rounded 20
+                                           , E.width <| px 120
+                                           , F.center
+                                           , transitionStyle
+                                           , mouseOver
+                                                [ B.color colourTheme.highlightTextHover
+                                                , F.color colourTheme.nonHighlightedText
+                                                , D.color colourTheme.highlightTextHover
+                                                ]
+                                           ]
+                                    )
+                                    { url = argument.proofLink
+                                    , label = text "Back to Top"
+                                    }
+                                ]
+                            ], basicDivider
+                        ]
+                   ]
+            )
         ]
+
+
+basicDivider =
+    el
+        [ E.width fill
+        , padding 20
+        , D.widthEach { bottom = 1, top = 0, left = 0, right = 0 }
+        , D.color (rgb255 200 200 200)
+        ]
+        none

frontend/src/Debate/Types.elm

@@ -13,6 +13,7 @@ type alias Argument =
     , propositionSummary : String
     , propositionReductio : String
     , proofLink : String
+    , proofText : String
     , definitionTable : List Definition
     , argumentFormalization : List ArgumentEntry
     }
@@ -35,3 +36,18 @@ type alias Definition =
     { definiendum : String
     , definiens : String
     }
+
+
+type alias ArgumentStructure =
+    { notationP1 : String
+    , notationP2 : String
+    , notationP3 : String
+    , notationP4 : String
+    , notationP5 : String
+    , notationP6 : String
+    , notationP7 : String
+    , notationP8 : String
+    , notationP9 : String
+    , notationP10 : String
+    , notationC : String
+    }

frontend/src/Pages/Arguments.elm

@@ -148,16 +148,16 @@ debateList =
         List.map
             (\category ->
                 column [ spacing 20 ]
-                    [ el (nonHighlightedTitleFormat ++ [ centerX ]) (text category.categoryName)
+                    [ el (nonHighlightedTitleFormat ++ [ centerX, F.letterSpacing 2, F.size 30]) (text category.categoryName)
                     , column [] (List.map argumentMaker category.arguments)
                     ]
             )
-            [ { categoryName = "Medicine"
+            [ { categoryName = "MEDICINE"
               , arguments =
                     [ argumentApoBCVD
                     ]
               }
-            , { categoryName = "Nutrition"
+            , { categoryName = "NUTRITION"
               , arguments =
                     [ argumentAnabolicKeto
                     , argumentAntagonisticPleiotropy
@@ -186,7 +186,7 @@ debateList =
                     , argumentUnhealthySaturatedFat
                     ]
               }
-            , { categoryName = "Philosophy"
+            , { categoryName = "PHILOSOPHY"
               , arguments =
                     [ argumentAbortion
                     , argumentAgnosticism
@@ -209,12 +209,12 @@ debateList =
                     , argumentVeganSocietyReductio
                     ]
               }
-            , { categoryName = "Politics"
+            , { categoryName = "POLITICS"
               , arguments =
                     [ argumentBoobyTrapPagers
                     ]
               }
-            , { categoryName = "Science"
+            , { categoryName = "SCIENCE"
               , arguments =
                     [ argumentEpidemiologyCausality
                     , argumentFlatEarthDebunk