Several words and phrases can be used to describe false premises, depending on the specific nuance you want to convey. Here are some options, categorized by their emphasis:
General Terms:
- Incorrect: A straightforward term indicating the premise is not right.
- Untrue: Similar to incorrect, emphasizing a lack of factual basis.
- False: The most direct and common term.
- Erroneous: Suggests a mistake or error in the premise.
- Inaccurate: Implies a lack of precision or correctness.
- Invalid: In the context of logic, this means the premise doesn't logically support the conclusion, often because the premise itself is flawed.
Highlighting Deception or Misleading Nature:
- Misleading: Suggests the premise leads to a wrong conclusion.
- Deceptive: Implies an intent to mislead or create a false impression.
- Fallacious: Specifically refers to a premise that contains a logical flaw or is based on faulty reasoning.
- Spurious: Suggests the premise appears plausible but is actually false or illegitimate.
- Bogus: An informal term for something false or fake.
- Sham: Implies the premise is a pretense or a fake.
Emphasizing Lack of Foundation or Evidence:
- Unfounded: Indicates the premise lacks a solid basis or evidence.
- Unsupported: Similar to unfounded, highlighting the absence of proof.
- Baseless: Suggests the premise has no foundation in fact.
- Groundless: Similar to baseless.
- Unsubstantiated: Implies the premise hasn't been proven or verified.
More Formal or Logical Terms:
- Defective: Suggests a flaw or weakness in the premise.
- Unsound: In logic, an argument is unsound if it is either invalid (flawed structure) or has one or more false premises.
- Non-factual: Emphasizes the lack of factual basis.
Informal Terms:
- Wrong: A simple and direct term.
- Off: Suggests the premise is not quite right.
The best word to use will depend on the context and the specific reason why the premise is false. For example, if the premise is based on a misunderstanding of facts, "erroneous" might be appropriate. If the premise is intentionally misleading, "deceptive" or "spurious" could be better choices. In a logical argument, "invalid" or "unsound" have specific technical meanings.