Determine Whether the Argument in the Problem Below Is Valid

question 104

Multiple Choice

Determine whether the argument in the problem below is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning. ​
All mathematicians are clever men.
All clever men are rich.
Therefore, all mathematicians are rich.
​

• A) invalid; direct
• B) valid; indirect
• C) valid; direct
• D) invalid; false chain
• E) valid; transitive

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Definitions:

Eating Disorder

A mental disorder defined by abnormal eating habits that negatively affect a person's physical or mental health, including anorexia nervosa, bulimia nervosa, and binge-eating disorder.

Anorexia Nervosa

A mental disorder characterized by an intense fear of gaining weight and a distorted body image, leading to severe restriction of food intake.

Pyromaniac

An individual with an irresistible impulse to start fires, driven by an emotional satisfaction from seeing the fire and its consequences.

Apathy

A lack of feeling, emotion, interest, or concern about something.