Construct a Complete Truth Table for Each of the Following $\lor$

question 144

Multiple Choice

Construct a complete truth table for each of the following arguments. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)
-(G $\lor$ ∼H) $\lor$ ∼∼I / G $\lor$ ∼H

• A) Valid
• B) Invalid. Counterexample when G, H, and I are true
• C) Invalid. Counterexample when H and I are true and G is false
• D) Invalid. Counterexample when H is true and G and I are false
• E) Invalid. Counterexample when I is true and G and are false

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Definitions:

Ways of Knowing

Various means by which human beings acquire knowledge, including sense perception, reason, emotion, faith, imagination, intuition, memory, and language.

Sensorimotor

Pertaining to the combined processes of sensory perception and motor action.

Preoperational

A stage in Jean Piaget's theory of cognitive development where children from ages 2 to 7 engage in symbolic play and struggle with logic and taking the perspective of others.

Nonstage Theories

Cognitive development theories that argue against the idea of distinct, universal stages of cognitive growth, suggesting instead that development is a more continuous and fluid process.