"A line is composed of points. Points have no length. Therefore a line has no length." Which informal fallacy is committed in this statement?

Correct option is A

The fallacy of composition occurs when one assumes that what is true for the parts of something must also be true for the whole. In this case, the argument falsely assumes that because individual points, which compose a line, have no length, the entire line must also lack length. This reasoning overlooks the fact that a line is the cumulative collection of infinitely many points, which collectively define its length, even though individual points lack this property.
Information Booster: · Fallacy of composition involves assuming that the whole shares the characteristics of its parts.
· Example: "Every player on the team is excellent, so the team must be excellent."
· Often arises from misinterpretation or oversimplification.
· Key in distinguishing individual properties vs. collective outcomes.
· Occurs in many fields, including logic, economics, and philosophy.
Additional Knowledge: (b) Equivocation:
· Involves using a word in two different senses in the same argument.
· Example: "A feather is light. What is light cannot be dark. Therefore, a feather cannot be dark."
(c) Hasty generalisation:
· Draws a conclusion based on insufficient evidence.
· Example: "I met two rude people from City X; everyone there must be rude."
(d) Slippery slope:
· Argues that one action will lead to a chain of events, often without sufficient evidence.
· Example: "If we allow this policy, it will inevitably lead to societal collapse."