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

question 244

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)Ix ⊃ (∀x)Kx
2. (∀x)[Jx • (Ix $\lor$ Lx)]
3. (∀x)(Jx ⊃ ∼Lx) / (∀x)Kx

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Definitions:

Secularization Thesis

A theory suggesting the decline of the influence of religion in public life and institutions as societies become more modernized.

World Religions

The various organized belief systems around the globe, including Christianity, Islam, Buddhism, Hinduism, and Judaism, among others.

Women Subordinate

The societal condition wherein women are placed in lower or less powerful positions relative to men, reflecting broader patterns of gender inequality.

Totems

Objects, symbols, or animals revered or considered sacred by a group, especially in indigenous or tribal societies, representing clan or group identity.