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

question 201

Essay

derive the conclusions of each of the following arguments using the rules of inference for M, including conditional or indirect proof.
-1. (∀x)Ix $\lor$ ∼(∃x)Hx
2. (∃x)Jx ⊃ ∼(∀x)Ix
3. Hc / (∀x)∼Jx

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Definitions:

Converge

To move towards one point from different places or ideas; to come together and meet or unite in a point or purpose.

PFIT Theory

Stands for Parieto-Frontal Integration Theory, which suggests that intelligence involves the integration of information between parietal and frontal brain regions.

Parietal Lobe

The area in each cerebral hemisphere that lies between the frontal and occipital lobes; includes tissue crucial for receiving information from the skin senses.

Frontal Lobe

The part of the brain located at the front of each cerebral hemisphere, responsible for voluntary movement, expressive language, and managing higher level executive functions.