Questions tagged [soundness]
The soundness tag has no usage guidance.
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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?
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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 ...
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Is Romans 1:19-20 philosophically sound?
Romans 1:18-25 ESV
18 For the wrath of God is revealed from heaven against all ungodliness and unrighteousness of men, who by their unrighteousness suppress the truth. 19 For what can be known about ...
user66156
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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 ...
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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 ...
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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.
Conclusion: ...
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How can logical soundness be determined, if it is the rules of the logic itself which dictate what is true and false?
The idea of soundness sounds conceptually intuitive.
Logic commonly has a syntax and a semantics. The syntax is a set of symbols with formation rules for creating new expressions from currently ...
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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,...
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How can a proof system be unsound?
I have recently started learning propositional logic. I stumbled upon the concepts of soundness and completeness.
According to http://intrologic.stanford.edu/chapters/chapter_04.html, a proof system ...
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Counterfactuals in Premises for Arguments
Can counterfactuals in premises make an argument sound and valid?
I understand that soundness requires both validity and true premises whilst validity requires the premises to follow to the conclusion....
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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 ...
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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 ...
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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 ...
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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 ...
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If an argument cannot be known as sound, can it still be claimed as sound?
I have read the the criteria to determine if an argument is sound is if its claim is valid and its premises are true.
However, what if no one can know whether or not an argument is sound because no ...
