Derive the Conclusions of Each of the Following Arguments Using $\lor$

question 119

Essay

derive the conclusions of each of the following arguments using the rules of inference for M. Do not use conditional or indirect proof.
-1. (∀x)(Hx ⊃ ∼Jx)
2. (∀x)(Ix ⊃ Jx)
3. Ha • Ib / ∼(Ia $\lor$ Hb)

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Definitions:

Diagnostic Test

A test used to identify the presence or absence of a disease or condition in an individual.

Malignant Cyst

A type of cyst that is cancerous and can potentially spread to other parts of the body, posing significant health risks.

Benign Cyst

A non-cancerous, closed pocket of tissue that can be filled with air, fluid, or other substances, often not harmful.

On-time Rates

A measure of the frequency with which an event (such as a flight or train) occurs at its scheduled time.