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Deductively sound arguments are also deductively valid?
Yes, deductively sound arguments are also deductively valid. An argument is sound if and only if all of the premises are true (with respect to all cases of semantics) and the premises certainly prove the conclusion, which then must also be true. An example of a valid, but not sound argument: Everyone who lives on Mars is a martian I live on Mars Therefore I am a martian An example of a sound argument (which then must also be valid): All rodents are mammals A rat is a rodent Therefore a rat is a rodent Recall that semantics are important and must be considered for an argument to sound and valid. Consider the following example: Everyone from London is from England Person A is from London Therefore person A is from England For the sake of this example, assume person A is indeed from London. This still does not mean that this argument is sound, or even valid. There are many places named London that are not in England (eg. London, Ontario, Canada). Thus, the argument is not sound and is invalid.
Can an argument be valid even if it contains false premises?
Yes, an argument can be valid even if it contains false premises. Validity in an argument refers to the logical structure, where the conclusion follows logically from the premises, regardless of whether the premises are true or false.
How does the presence of a false conclusion in a strong argument indicate that not all of its premises can be true?
The presence of a false conclusion in a strong argument suggests that at least one of its premises must be false, as a strong argument should lead to a true conclusion based on true premises.
A valid argument can have a false conclusion True or False?
True. - Valid arguments are deductive. - Arguments are valid if the premises lead to the conclusion without committing a fallacy. - If an argument is valid, that means that if the premises are true, then the conclusion must be true. - This means that a valid argument with a false premise can lead to a false conclusion. This is called a valid, unsound argument. - A valid, sound argument would be when, if the premises are true the conclusion must be true and the premises are true.
Can strong argument have false premises?
Yes, a strong argument can have false premises. Even if the premises are false, if the reasoning that leads from them to the conclusion is sound and persuasive, the argument may still be strong in terms of its structure and validity. However, it's important to strive for accuracy and truthfulness in the premises for a more reliable argument.
What is deductively valid argument?
A deductively valid argument is if the premises are true then the conclusion is certainly true, not possibly true. The definition does not say that the conclusion is true.
Deductively sound arguments are also deductively valid?
Yes, deductively sound arguments are also deductively valid. An argument is sound if and only if all of the premises are true (with respect to all cases of semantics) and the premises certainly prove the conclusion, which then must also be true. An example of a valid, but not sound argument: Everyone who lives on Mars is a martian I live on Mars Therefore I am a martian An example of a sound argument (which then must also be valid): All rodents are mammals A rat is a rodent Therefore a rat is a rodent Recall that semantics are important and must be considered for an argument to sound and valid. Consider the following example: Everyone from London is from England Person A is from London Therefore person A is from England For the sake of this example, assume person A is indeed from London. This still does not mean that this argument is sound, or even valid. There are many places named London that are not in England (eg. London, Ontario, Canada). Thus, the argument is not sound and is invalid.
Can an argument be valid even if it contains false premises?
Yes, an argument can be valid even if it contains false premises. Validity in an argument refers to the logical structure, where the conclusion follows logically from the premises, regardless of whether the premises are true or false.
How does the presence of a false conclusion in a strong argument indicate that not all of its premises can be true?
The presence of a false conclusion in a strong argument suggests that at least one of its premises must be false, as a strong argument should lead to a true conclusion based on true premises.
What is deductive validity?
A deductively valid argument is if the premises are true then the conclusion is certainly true, not possibly true. The definition does not say that the conclusion is true.
A valid argument can have a false conclusion True or False?
True. - Valid arguments are deductive. - Arguments are valid if the premises lead to the conclusion without committing a fallacy. - If an argument is valid, that means that if the premises are true, then the conclusion must be true. - This means that a valid argument with a false premise can lead to a false conclusion. This is called a valid, unsound argument. - A valid, sound argument would be when, if the premises are true the conclusion must be true and the premises are true.
Can strong argument have false premises?
Yes, a strong argument can have false premises. Even if the premises are false, if the reasoning that leads from them to the conclusion is sound and persuasive, the argument may still be strong in terms of its structure and validity. However, it's important to strive for accuracy and truthfulness in the premises for a more reliable argument.
Can a sound argument have a false conclusion?
A sound argument cannot have a false conclusion. A sound argument refers to a deductive argument which is valid and has all true premises, therefore its conclusion cannot be false.
A true conclusion cannot be derived validly from false premises?
That's correct. The validity of an argument depends on both the form of the argument and the truth of the premises. If the premises are false, then even if the argument is logically valid, the conclusion cannot be considered true.
Can a valid deductive argument have a false conclusion?
No, a valid deductive argument cannot have a false conclusion. If the argument is valid, it means that the conclusion logically follows from the premises. If the conclusion is false, it means that the argument is not valid.
If the conclusion of an argument is exactly as probable as its negation given the premises of the argument the the argument is weak?
Yes, if the conclusion of an argument is just as likely to be false as it is to be true based on the premises provided, then the argument is considered weak because it does not provide strong support for the conclusion. The premises should logically lead to the conclusion, rather than leaving it equally likely to be true or false.
Can the Premises in syllogisms be true false or valid?
The premises in syllogisms can be true or false, depending on the accuracy of the statements. The validity of a syllogism is determined by the logical structure of the argument, not just the truth of the premises.
