Cyberlaw, Ethics and Privacyintermediate
An argument has true premises, but its conclusion does not follow from them. What can you conclude?
Answer
It is invalid and cannot be sound.
Explanation
### Why this is right
If the conclusion does not follow from the premises, the argument is invalid. Soundness requires validity, so true premises cannot make this argument sound.
### The concept
An argument's truth values and its logical support are separate matters. True premises may be arranged in a way that does not establish the conclusion. The cat-and-dog example illustrates this: all cats are mammals; dogs are mammals; therefore dogs are cats. Both premises are true, but they do not imply the conclusion. The conclusion can happen to be true or false without changing the validity classification.
### The other options
- **B. It is valid but unsound**: conflicts with the description that the conclusion does not follow.
- **C. It is sound because its premises are true**: omits the required condition of validity.
- **D. Its conclusion must be false**: invalidity means the support fails, not that the conclusion must be false.
### Terms
- **Invalid**: An argument whose premises could be true while its conclusion is false.
- **Sound**: A valid argument with true premises.
- **Conclusion**: The claim that the premises are meant to support.
### Remember
True premises do not guarantee validity, and invalidity does not settle whether a conclusion is true.
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