Definitional fallacies

Definitional fallacies are logical fallacies that occur when some definition fails to properly explain some term.

Cogito ergo sum
Logic and rhetoric
Key articles
General logic
Bad logic
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Not to be confused with No True Scotsman -- when one redefines a term mid-debate.

Definitional fallacies are fallacies of ambiguity and informal fallacies.

Circularity

See the main article on this topic: Tautology

If a term is defined by itself, defining the term as such adds nothing useful.

Too broad

The fallacy of "too broad", or "discarded differentia", occurs if when defining a term, instances are included that aren't usually called by that term.

For example:

A fish is an aquatic vertebrate.

This definition would include animals like whales and turtles, which are not fish, so the definition needs to be refined:

A fish is a cold-blooded aquatic vertebrate with two sets of paired fins and is covered with scales.

This definition now excludes those animals that wouldn't be considered fish.

Too Narrow

The fallacy of "too narrow" occurs if when defining a term, instances aren't included that are usually called by that term.

For example:

A rectangle is an object with four perpendicular sides of equal length.

This would exclude all rectangles that aren't square. Instead, rectangle must be defined as:

A rectangle is an object with four sides, each one perpendicular to its adjoining sides.

Ambiguity

See the main article on this topic: Fallacy of ambiguity

A term is ambiguous if it's unclear what it means.

gollark: No, I mean how do you use that to get intuition for number of solutions of some equations.
gollark: I've seen it with intersecting lines/planes(/hyperplanes), how does it work to interpret it as a transformation?
gollark: I don't think it tries to clarify the actual underlying foundational stuff much.
gollark: This is basically the last bit of a chapter containing various integration methods.
gollark: But even if they hadn't done it wrong, I still disagree with their decision to make you know this definition but not apply it in any way except when a question uses it to slightly obfuscate integrals.
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