Lena Torres
The concept of soundness is used to describe the premise acceptability of valid arguments. A sound argument is one that is valid and begins with premises that are actually true. Validity and soundness are properties of deductive arguments. Inductive arguments, on the other hand, are not valid because their premises do not necessitate the truth of their conclusions. Therefore, the concept of soundness does not apply to inductive arguments. However, we can still assess the logical strength of inductive arguments by evaluating the acceptability of their premises.
| Characteristics | Values |
|---|---|
| Type of Argument | Deductive or Inductive |
| Validity | True premises necessitate a true conclusion |
| Soundness | Valid argument with true premises |
| Strength of Inductive Argument | Strong or Weak |
| Cogency | True premises make the conclusion more likely to be true |
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What You'll Learn
Inductive arguments are not valid
The concept of soundness is applied to deductive arguments, not inductive ones. A deductive argument is sound if it is valid and all its premises are true. An argument is valid if the truth of its premises guarantees the truth of its conclusion.
Inductive arguments, on the other hand, are not valid. This is because, by definition, inductive arguments do not guarantee the truth of their conclusions, even if their premises are true. Instead, inductive arguments provide good reasons or make their conclusions probable.
For example, consider the following inductive argument: "Yesterday every raven I saw was black. The day before that, every raven I saw was black. Two days ago, every raven I saw was black. Therefore, the next raven I observe will be black." Even if the premises of this argument are true, it is still logically possible that the next raven observed is not black. Thus, the argument is not valid.
Despite not being valid, inductive arguments can still be strong or weak. A strong inductive argument is one in which, if the premises are assumed to be true, it is very probable that the conclusion is true (or improbable that it is false). In other words, strong inductive arguments provide the best available evidence for their conclusions. For example, we have overwhelming inductive evidence that people will fall off tall buildings if they jump due to gravity, even though we have not and cannot test every human being.
In contrast, a weak inductive argument is one in which, even if the premises are assumed to be true, the conclusion is not likely to be true. Weak inductive arguments do not provide sufficient evidence to support their conclusions.
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Inductive arguments are assessed for logical strength
The soundness of an argument is typically associated with deductive arguments. A deductive argument is sound if it is valid and all its premises are true. If the premises of a deductive argument are true, then the conclusion is guaranteed to be true.
Inductive arguments, on the other hand, are probabilistic arguments. Even if the premises of an inductive argument are true, the conclusion can still be false. For example, "every raven I have ever observed has been black, but the next one I see could be a different colour". Despite this logical possibility, we still assess the logical strength of inductive arguments.
Inductive arguments are assessed for their logical strength by evaluating the acceptability of their premises and the logical relationship between the premises and the conclusion. A strong inductive argument will mean that, if we assume the premises to be true, it is very probable that the conclusion is true (or improbable that it is false). For example, "all the tigers I saw on my safari trip to South Africa were orange. Therefore, all tigers are orange". This argument is much stronger than the raven example because, even though the premise is true, the conclusion is false as white tigers exist. This inductive argument can be strengthened by adding more information to the premise, such as "all the tigers in the wild in South Africa that have been observed are orange".
The logical force of an inductive argument is the strength of the logical relationship between the premises and the conclusion. This differs from deductive arguments, which are top-down arguments that produce irrefutable conclusions if their premises are true. Inductive arguments are bottom-up logic, observing ground-level details, detecting patterns, and formulating broader conclusions.
In summary, inductive arguments are assessed for their logical strength by evaluating the acceptability of their premises and the logical relationship between the premises and the conclusion. The logical force of an inductive argument is the strength of this relationship, which differs from deductive arguments in that it is a type of bottom-up logic.
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Inductive arguments can be strong or weak
The distinction between deductive and inductive arguments is deeply ingrained in philosophy and everyday life. While deductive arguments are labelled valid or invalid, and sound or unsound, inductive arguments are classified as strong or weak.
A strong inductive argument is one whose premises make the conclusion likely. In other words, a strong inductive argument is one where, assuming the premises are true, it is highly probable that the conclusion is true. For example, "The sun will rise in the east tomorrow, for it has risen in the east every day for the last 4.5 billion years". Here, the premise makes the conclusion probable, but does not guarantee it.
On the other hand, a weak inductive argument fails to make its conclusion probably true, even if the premises are assumed to be true. For instance, consider the argument, "Therefore, all tigers are orange". This is a weak inductive argument because, even though the observer's premise is true (they only saw orange tigers), the conclusion is false, as white tigers exist too. This argument can be strengthened by modifying the conclusion to "Hence, most tigers are probably orange". Although the conclusion isn't entirely true, it is stronger as it acknowledges the possibility of exceptions.
Inductive arguments are based on circumstantial evidence and a limited number of samples, and thus, they are incapable of providing absolute proof. They are susceptible to cognitive bias, which occurs when the investigator only sees what they expect to support their argument. This can lead to weak arguments or unsound conclusions, causing the audience to doubt the reliability of the arguer's beliefs.
It is important to distinguish between deductive and inductive arguments during argument analysis to apply the correct evaluative standards. While deductive arguments are evaluated based on the truth of their premises and the logical structure that guarantees the truth of the conclusion, inductive arguments are assessed based on the probability of their conclusions being true, given the truth of the premises.
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Inductive arguments can be cogent or non-cogent
The concept of soundness is used to describe the premise acceptability of valid arguments. However, since the premises of inductive arguments do not necessitate the truth of their conclusions, inductive arguments cannot be valid. Therefore, the concept of soundness does not apply to inductive arguments.
Instead, inductive arguments can be strong or weak, and they may be considered cogent or non-cogent. A strong inductive argument is one whose premises render the conclusion likely. In other words, if we assume the premises to be true, it is very probable that the conclusion is true (or improbable that it is false). A weak inductive argument, on the other hand, is one in which the conclusion is not likely to be true, even if we assume the premises to be true.
A cogent argument is a strong argument with true premises. Cogency is a term used to evaluate inductive arguments. For an argument to be cogent, the truth of its premises must make the conclusion more likely to be true than false. However, it is important to note that a cogent inductive argument does not rule out the possibility of having true premises and a false conclusion. This is because, by adding further information or premises to an inductive argument, we can overturn the verdict that the conclusion is well-supported by the premises.
To determine whether an argument is deductive or inductive, we use the concept of sufficiency. An argument's premises are sufficient if, assuming the premises to be true, the conclusion is also guaranteed to be true. A deductive argument is sound if it is valid and all of its premises are true. If a deductive argument is invalid, we do not worry about soundness.
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Inductive arguments are defeasible
The concepts of validity and soundness apply only to deductive arguments. A deductive argument is sound if it is valid and all its premises are true. If a deductive argument is invalid, we don't worry about soundness.
Inductive arguments are deductively invalid. This is because, in inductive arguments, the conclusion is supposed to follow from its premises with a high level of probability, but not with absolute certainty. This means that, even if we assume the premises of an inductive argument to be true, it is still possible for the conclusion to be false. For example, consider the following argument:
> Tweets is a healthy, normally functioning bird and since most healthy, normally functioning birds fly, Tweets probably flies.
Given the information provided by the premises, the conclusion does seem to be well supported. However, we can imagine a scenario in which the premises are true and the conclusion is false. For example, suppose that we added the following premise: "Tweets is 6 feet tall and can run 30 mph." This premise would suggest that Tweets is an ostrich or an emu, which are not kinds of birds that can fly. Therefore, the conclusion would no longer be supported by the premises.
Since inductive arguments are invalid, we don't use the term "soundness" to describe them. Instead, we use the terms strong, weak, cogent, and uncogent. Inductive arguments whose premises give us a strong reason for accepting the conclusion are called strong inductive arguments. In contrast, an inductive argument that does not provide a strong reason for accepting the conclusion is called a weak inductive argument.
In summary, inductive arguments are defeasible because we can overturn the verdict that the conclusion is well-supported by adding further information or premises to the argument.
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Frequently asked questions
An inductive argument is one where the premises give a strong reason for accepting the conclusion. However, the premises do not necessitate the truth of the conclusion.
No, since the premises of an inductive argument do not necessitate the truth of its conclusion, inductive arguments cannot be valid.
We evaluate inductive arguments based on their logical strength. A strong inductive argument means that, assuming the premises are true, it is very probable that the conclusion is true.
No, soundness only applies to deductive arguments. A sound argument is one that is valid with true premises.
