obsidian/🛡️ Debate/Coaching/Coursework/NTT/NTT Reductios.md

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NTT Reductio (Non-Negated Antecedent w/ Conjunction)

Definiendum Definiens
T a being (x) is ethical to consume
P a being (x) has fur
Q a being (x) has horns
R a being (x) has hooves
a hypothetical human
P1) For all x, where x is a being, they are ethical to consume if, and only if, x has fur, x has horns, and x has hooves.
(∀x(Tx↔(Px∧Qx∧Rx)))
P2) A hypothetical human has fur, horns, and hooves.
(Pa∧Qa∧Ra)
C) Therefore, A hypothetical human is ethical to consume.
(∴Ta)

Proof Tree

NTT Reductio (Negated Antecedent w/ Conjunction)

Definiendum Definiens
T a being (x) is ethical to consume
P a being (x) has average human intelligence
Q a being (x) has language skills
R a being (x) has human genetics
a hypothetical schmuman
P1) For all x, where x is a being, they are not ethical to consume if, and only if, x has average human intelligence, x has language skills, and x has human genetics.
(∀x(¬Tx↔(Px∧Qx∧Rx)))
P2) A hypothetical schmuman does not have human genetics.
(¬Ra)
C) Therefore, a hypothetical schmuman is ethical to consume.
(∴Ta)

Proof Tree

NTT Reductio (Non-Negated Antecedent w/ Disjunction)

Definiendum Definiens
T a being (x) is ethical to consume
P a being (x) has fur
Q a being (x) has horns
R a being (x) has hooves
a hypothetical human
P1) For all x, where x is a being, they are ethical to consume if, and only if, x has fur, or x has horns, or x has hooves.
(∀x(Tx↔(PxQxRx)))
P2) A hypothetical human has hooves.
(Ra)
C) Therefore, A hypothetical human is ethical to consume.
(∴Ta)

Proof Tree

NTT Reductio (Negated Antecedent w/ Disjunction)

Definiendum Definiens
T a being (x) is ethical to consume
P a being (x) has average human intelligence
Q a being (x) has language skills
R a being (x) has human genetics
a hypothetical schmuman
P1) For all x, where x is a being, they are not ethical to consume if, and only if, x has average human intelligence, or x has language skills, or x has human genetics.
(∀x(¬Tx↔(PxQxRx)))
P2) A hypothetical schmuman does not have average human intelligence, language skills, and human genetics.
(¬Pa∧¬Qa∧¬Ra)
C) Therefore, a hypothetical schmuman is ethical to consume.
(∴Ta)

Proof Tree


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