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What is an inductively strong argument and why is it considered to be valid when it has true premises?
An inductively strong argument is one where the premises provide good support for the conclusion, even though it is possible for the conclusion to be false. When an inductively strong argument has true premises, it is considered valid because the reasoning is sound and the conclusion is likely to be true based on the evidence provided.
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When is stong inductive argument uncogent?
A strong inductive argument can be considered uncogent if the premises are not relevant or if there is a problem with the reasoning or structure of the argument. Additionally, if the premises are not true or if there is a lack of sufficient evidence to support the conclusion, the strong inductive argument may be considered uncogent.
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 makes a argument valid or strong?
An argument is valid if the conclusion logically follows from the premises. This means that if the premises are true, the conclusion must also be true. An argument is strong if the premises provide good support for the conclusion, making it likely to be true.
Is it true that valid arguments are said to be strong or weak?
Valid arguments are not described as strong or weak. Validity refers to the logical structure of an argument - if the premises logically lead to the conclusion. An argument can be valid but still weak if the premises are not well-supported or sound.
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.
When is stong inductive argument uncogent?
A strong inductive argument can be considered uncogent if the premises are not relevant or if there is a problem with the reasoning or structure of the argument. Additionally, if the premises are not true or if there is a lack of sufficient evidence to support the conclusion, the strong inductive argument may be considered uncogent.
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 makes a argument valid or strong?
An argument is valid if the conclusion logically follows from the premises. This means that if the premises are true, the conclusion must also be true. An argument is strong if the premises provide good support for the conclusion, making it likely to be true.
Is it true that valid arguments are said to be strong or weak?
Valid arguments are not described as strong or weak. Validity refers to the logical structure of an argument - if the premises logically lead to the conclusion. An argument can be valid but still weak if the premises are not well-supported or sound.
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 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 does it mean for an argument to be cogent?
For an argument to be cogent, it must be both strong and have premises that are true. This means that the conclusion is likely to be true based on the strength of the reasoning and the truth of the premises.
What does logical strength mean?
Logical strength refers to the degree to which the premises of an argument support its conclusion. An argument is considered logically strong if, assuming the premises are true, the conclusion is likely to be true as well. This concept is often used in the context of inductive reasoning, where the strength of the argument is assessed based on the probability that the conclusion follows from the premises. In contrast, deductive arguments are evaluated based on validity, where the conclusion necessarily follows from the premises if they are true.
Can a valid argument be weak?
Yes, a valid argument can still be weak if the premises provided are not strong or relevant enough to support the conclusion. Validity refers to the logical structure of an argument, while the strength of an argument refers to the quality and persuasiveness of the premises.
How Can a strong inductive argument have a false conclusion?
Since an inductive argument is an argument where the truth of the premises make it reasonable to hold that the conclusion is true, it does not necessarily guarantee it, meaning you could have a false conclusion.
What is the difference between sound and unsound argument?
A sound argument is put forth by someone who knows all the facts of the situation and can convince someone by his knowledge on the subject. Unsound is someone arguing without knowing what the facts are, or what they are talking about.
How do you identify a strong or weak argument?
A valid argument is one in which the truth of the premises guarantees the truth of its conclusion. An invalid argument is one in which the truth of the premises does not guarantee the truth of the conclusion. In invalid arguments, the conclusion does not follow with strict necessity from the premises, even though it is claimed to.
