Questions tagged [soundness]

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4 votes
7 answers

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 ...
Julius Hamilton's user avatar
6 votes
9 answers

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 ...
Mark's user avatar
  • 5,063
1 vote
2 answers

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 ...
Dennis Francis Blewett's user avatar
-1 votes
2 answers

Jurisprudence and logic: Is it a necessary criterion for a claim to be declared sound that there be no evidence to the contrary as to its soundness?

So, I've been generating various arguments (such as related to the synthesis of legal arguments), and I have been doing my best to figure out how to declare that a particular claim is not sound. For ...
Dennis Francis Blewett's user avatar
0 votes
1 answer

Semantic consequence and Sound Argument

Is that correct to say that semantic consequence is equivalent to the concept of sound argument in classical propositional logic? If it is the case, arguments or theories with contradictory premises ...
Cesar Tacla's user avatar
0 votes
2 answers

Does this argument disprove immaterialism?

-Every observation we have analysed has a material cause. -By inductive reasoning, all observations have materialistic causes. -Hence, there are no immaterial causes and immaterialism doesn't exist. (...
Zam's user avatar
  • 109
1 vote
1 answer

Question of Validity in syllogisms of deductive argument

I read the following excerpt from my A-Level Philosophy book: "Two key terms that you need to understand in relation to deductions and other forms of argument are ‘validity’ and ‘soundness’. ...
User1265's user avatar
2 votes
1 answer

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, a proof system ...
Ninch's user avatar
  • 35
2 votes
1 answer

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....
farce's user avatar
  • 21
0 votes
1 answer

In logic, can we or can we not prove that a formula is invalid?

I'm a novice in this field of logic. While reading about soundness and completeness of a method, I read this line: "a logical system has the soundness property if and only if every formula that ...
user8616916's user avatar
3 votes
4 answers

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: ...
tarit goswami's user avatar
7 votes
2 answers

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 ...
Michael Choi's user avatar
22 votes
10 answers

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? ...
Curious 's user avatar
0 votes
1 answer

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 ...
Peachy's user avatar
  • 31
2 votes
1 answer

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 ...
rhyaeris's user avatar
  • 123
4 votes
2 answers

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 ...
user140161's user avatar
5 votes
2 answers

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 ...
user393454's user avatar
1 vote
1 answer

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 ...
Trish's user avatar
  • 63
2 votes
2 answers

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 ...
Trish's user avatar
  • 63
1 vote
1 answer

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 ...
Trish's user avatar
  • 63
1 vote
2 answers

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. Therefore, Sam ...
DrDeanification's user avatar
3 votes
2 answers

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,...
Brash Equilibrium's user avatar