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Questions tagged [soundness]

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2
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3answers
699 views

Is “(1) All humans are mortal. (2) Socrates is mortal. Conclusion: Socrates is human.” unsound argument?

I am new to a philosophy course and recently learned about validity and soundness of an argument. In this exercise: Premise 1: All humans are mortal. Premise 2: Socrates is mortal. ...
7
votes
1answer
153 views

Is Propositional Logic Sound and Complete

After reading Gödel's incompleteness theorem, I wonder if there are any systems whose axioms are sound and complete. I realize that Gödel's arguments (at least from my sources) only apply to ...
21
votes
10answers
8k views

Can an argument be valid even though one of its premises is false?

Is it possible for an argument to be valid by virtue of its logical form, but contain a false premise? In other words, can a premise be false even though the argument itself is logically valid? ...
0
votes
1answer
46 views

Are these basic arguments considered valid and sound?

I'm trying to come up with some basic arguments to construct a philosophy paper and I am wondering if the following arguments are valid and sound. Thanks for the help! If humans have flaws then they ...
4
votes
1answer
260 views

Soundness of a deductive argument

I am a student who was just introduced to philosophy. On a test, we were given the following multiple-choice question on soundness of a deductive argument: “Anything that travels in time necessarily ...
4
votes
2answers
4k views

Example of an unsound argument with true premise and true conclusions

I'm doing an introductory undergraduate course on philosophy. I was reading an introduction to what argument is and what kinds of arguments there are when I came across this. 'Soundness: An argument ...
7
votes
2answers
319 views

How does one prove properties of soundness and completeness for a logic using proof-theoretic semantics?

Can one prove these properties at all without relying on notions of models and interpretations? Are there other properties that proof-theorists usually prove instead? From what I've read, I've only ...
1
vote
1answer
149 views

Validity and Soundness

The following is an argument which I thought was sound but I have been told I am wrong. Some men are married Therefore Some men are not married I think this argument is sound because the premise ...
3
votes
2answers
221 views

Is this lexical or structural ambiguity: “criminal actions are illegal, and murder trials are criminal actions, so murder trials are illegal”?

I am yet to learn about ambiguity and sound arguments but am attepting to make the following argument sound. All criminal actions are illegal All murder trials are criminal actions Therefore All ...
2
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1answer
4k views

Example of a Sound Argument

I used the following example as a sound argument but was marked incorrect. I can't determine where I went wrong. All criminal actions are illegal All murder trials are criminal actions Therefore All ...
1
vote
2answers
687 views

Determining the soundness of arguments

I was recently given the following question in an exam. Determine the soundness of the following argument: John lives on the same street as Mary. Mary lives on the same street as Sam. ...
3
votes
2answers
215 views

Are there quantitative measures for the soundness of an argument?

I wonder if anyone has explored a quantitative measurement of the soundness of an argument. By soundness, I mean the extent to which the argument's premises are true and valid. By quantitative measure,...