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Can an argument with a true premises and true conclusion be invalid?
Wiki User
∙ 11y ago
Yes. It could be a coincidence that the premises and conclusion are all true. For example, here is an argument:
1. It is true that if a person belongs to the Republican Party they must be an American.
2. Mitt Romney is an American.
3. Therefore, the conclusion is that Mitt Romney is a Republican.
Although both premises and the conclusion are true, the argument is not valid. That is because it is possible to imagine an argument in this form where the premises were true, but the conclusion is not. (Imagine if the second premise were "Barack Obama is an American" which is true, leading to the conclusion "Barack Obama is a Republican" which is false.)
Wiki User
∙ 11y ago
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Why cant you have an argument which is invalid and sound?
An argument that is invalid is one where the conclusion does not logically follow from the premises. A sound argument is one that is valid and has true premises. So, by definition, an argument cannot be both invalid and sound at the same time because for an argument to be sound it must be valid.
A valid argument can have a false conclusion True or False?
True. A valid argument can have a false conclusion if the premises logically lead to that conclusion even though it is not true. Validity in logic refers to the structure of the argument, regardless of the truth or falsity of the premises or conclusion.
If a deductive argument is valid and its premises are true?
If a deductive argument is valid and its premises are true, then the conclusion must also be true. This is because the structure of the argument guarantees that if the premises are true, then the conclusion must follow logically.
What makes a valid deductive argument?
A valid deductive argument is one where the conclusion logically follows from the premises. In other words, if the premises are true, then the conclusion must also be true. The form of the argument must be such that it is impossible for the premises to be true and the conclusion false.
What argument is based on facts that can be proven true and contains a conclusion that must be true if the premises are true?
A deductive argument fits this description. In a deductive argument, if the premises are true, then the conclusion must also be true. This type of argument moves from general premises to a specific conclusion through logical reasoning.
What is an invalid argument?
In invalid argument is one in which the premises do not necessitate the truth of the conclusion. An argument's validity or invalidity does NOT depend on the actual truth of the premises, just what they would entail IF they are true.
Why cant you have an argument which is invalid and sound?
An argument that is invalid is one where the conclusion does not logically follow from the premises. A sound argument is one that is valid and has true premises. So, by definition, an argument cannot be both invalid and sound at the same time because for an argument to be sound it must be valid.
A valid argument can have a false conclusion True or False?
True. A valid argument can have a false conclusion if the premises logically lead to that conclusion even though it is not true. Validity in logic refers to the structure of the argument, regardless of the truth or falsity of the premises or conclusion.
If a deductive argument is valid and its premises are true?
If a deductive argument is valid and its premises are true, then the conclusion must also be true. This is because the structure of the argument guarantees that if the premises are true, then the conclusion must follow logically.
What makes a valid deductive argument?
A valid deductive argument is one where the conclusion logically follows from the premises. In other words, if the premises are true, then the conclusion must also be true. The form of the argument must be such that it is impossible for the premises to be true and the conclusion false.
What argument is based on facts that can be proven true and contains a conclusion that must be true if the premises are true?
A deductive argument fits this description. In a deductive argument, if the premises are true, then the conclusion must also be true. This type of argument moves from general premises to a specific conclusion through logical reasoning.
How can you tell if an argument is valid?
An argument is valid if the conclusion follows logically from the premises. In a valid argument, if the premises are true, then the conclusion must also be true. This can be determined by evaluating the logical structure of the argument.
What is the difference between valid and sound in a argument?
In logic, a valid argument is one where the conclusion logically follows from the premises. A sound argument is a valid argument with true premises. So, a sound argument is not only valid, but it also has true premises, making it both logically correct and factually accurate.
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.
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.
What should a deductive argument never be characterized as?
A deductive argument should never be characterized as uncertain or probabilistic. It aims to provide a conclusion that necessarily follows from the premises, making it either valid or invalid based on the structure of the argument and the truth of the premises.
What are Truth Validity and Soundness?
Truth refers to a statement that accurately reflects reality, validity refers to a logical relationship between the premises and conclusion in an argument, and soundness refers to an argument that is valid and has true premises.
