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Questions and Answers
What is a valid argument?
What is a valid argument?
A valid argument is one in which the truth of the premises guarantees a truthful conclusion.
Explain the difference between a valid and sound argument.
Explain the difference between a valid and sound argument.
A valid argument can have false premises, while a sound argument must have true premises, guaranteeing a truthful conclusion.
Provide an example of a valid argument.
Provide an example of a valid argument.
- Socrates is a frog; 2) All frogs are mortal; 3) Socrates is mortal.
Provide an example of a sound argument.
Provide an example of a sound argument.
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Study Notes
Valid Arguments
- Valid arguments ensure that if the premises are true, the conclusion must also be true.
- Even if premises are false, a valid argument can still maintain coherence in logic.
Sound Arguments
- Sound arguments require that all premises are true, leading to a true conclusion.
- All sound arguments are also valid, but not all valid arguments are sound.
Example of a Valid Argument
- Argument structure:
- Premise 1: Socrates is a frog.
- Premise 2: All frogs are mortal.
- Conclusion: Socrates is mortal.
- Despite the false premise (Socrates being a frog), the argument's logic remains valid.
Example of a Sound Argument
- Argument structure:
- Premise 1: Socrates is a man.
- Premise 2: All men are mortal.
- Conclusion: Socrates is mortal.
- Both premises are true, confirming the conclusion as true and illustrating a sound argument.
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