Which of the following arguments commits the fallacy of contradicted middle such that the middle term, instead of being pervaded by the presence of the major term, is pervaded by the absence of the major term?
Sound is eternal because it is produced.
Understanding the Contradicted Middle Fallacy (Viruddha Hetvabhasa)
This question asks us to identify an argument that commits the fallacy known as the 'contradicted middle' or 'Viruddha Hetvabhasa' in Indian logic, particularly the Nyaya school. This fallacy occurs when the middle term (Hetu), instead of supporting the presence of the major term (Sadhya) in the minor term (Paksha), actually supports the *absence* of the major term.
Components of a Logical Argument (Anumana)
In a typical inference in Nyaya logic, we have:
- Paksha (Minor Term): The subject about which something is being inferred.
- Sadhya (Major Term): The predicate being inferred about the Paksha.
- Hetu (Middle Term): The reason or ground used to make the inference. It must be present in the Paksha and be pervaded by the Sadhya (Vyapiti).
The basic structure is: Paksha has Sadhya because it has Hetu. For this to be valid, wherever the Hetu is present, the Sadhya must also be present (Vyapiti).
The Contradicted Middle Fallacy Explained
The fallacy of Contradicted Middle (Viruddha Hetvabhasa) happens when the Hetu (middle term) has a pervasion (Vyapiti) not with the Sadhya (major term), but with the *absence* of the Sadhya (Asadhya). In other words, the Hetu proves the exact opposite of what it is intended to prove regarding the Sadhya.
The pervasion should be: Hetu $\rightarrow$ Sadhya.
But in Viruddha Hetvabhasa, the pervasion is actually: Hetu $\rightarrow$ Absence of Sadhya.
Analyzing the Given Arguments
Let's break down each option and identify the Paksha, Sadhya, and Hetu, and then examine the relationship between the Hetu and Sadhya to see if it fits the contradicted middle fallacy.
| Option | Argument | Paksha (Minor Term) | Sadhya (Major Term) | Hetu (Middle Term) | Intended Inference (Hetu $\rightarrow$ Sadhya?) | Actual Relation (Hetu $\rightarrow$ ?) | Fallacy Type |
|---|---|---|---|---|---|---|---|
| 1 | All things are non eternal because they are knowable. | All things | Non eternal | Knowable | Knowable $\rightarrow$ Non eternal? | Knowable $\rightarrow$ ? (Not clearly Absence of Non eternal, i.e., Eternal) | Not clearly Contradicted Middle (might be Sandigdha or Asiddha depending on perspective) |
| 2 | Sound is a quality because it is visible. | Sound | Quality | Visible | Visible $\rightarrow$ Quality? | Visible $\rightarrow$ Non-sound (Sound is not visible) | Asiddha (Unproved/Absent Hetu in Paksha) |
| 3 | Fire is cold because it is a substance. | Fire | Cold | Substance | Substance $\rightarrow$ Cold? | Substance $\rightarrow$ Not Necessarily Cold (Fire is Hot) | Badhita (Contradicted by Perception/Fact) |
| 4 | Sound is eternal because it is produced. | Sound | Eternal | Produced | Produced $\rightarrow$ Eternal? | Produced $\rightarrow$ Non-eternal (Absence of Eternal) | Contradicted Middle (Viruddha Hetvabhasa) |
Identifying the Correct Fallacy
Looking at the analysis:
- In Option 1, 'knowable' doesn't strongly or universally establish the *absence* of 'non eternal' (i.e., establish 'eternal').
- In Option 2, the Hetu 'visible' is not present in the Paksha 'sound', which is the Asiddha fallacy.
- In Option 3, the Hetu 'substance' does not prove 'cold'. The claim that fire is cold is contradicted by direct perception, which is the Badhita fallacy.
- In Option 4, the Hetu is 'produced' and the Sadhya is 'eternal'. The argument claims: "Sound is eternal because it is produced." However, things that are produced are typically understood to be non-eternal (impermanent). The pervasion (Vyapiti) between 'produced' and 'eternal' is actually the opposite: Wherever there is 'produced', there is 'non-eternal' (absence of eternal). Thus, the middle term 'produced' establishes the *absence* of the major term 'eternal' instead of its presence. This perfectly matches the definition of the Contradicted Middle (Viruddha Hetvabhasa) fallacy.
Conclusion
Based on the analysis of each argument, the argument that commits the fallacy of contradicted middle is the one where the middle term is pervaded by the absence of the major term. This is clearly demonstrated in the argument "Sound is eternal because it is produced," where 'produced' acts as a reason to prove 'eternal', but in reality, 'produced' is pervaded by 'non-eternal' (the absence of eternal).
Revision Table: Key Fallacies (Hetvabhasa)
| Fallacy Name | Sanskrit Name | Description |
|---|---|---|
| Unproved Hetu | Asiddha | The middle term (Hetu) is not present in the minor term (Paksha). |
| Contradicted Middle | Viruddha | The middle term (Hetu) proves the absence of the major term (Sadhya) instead of its presence. |
| Inconclusive / Undecided | Anaikantika / Savyabhichara | The middle term (Hetu) is not consistently related to the major term (Sadhya); it is present in both instances where the Sadhya is present and where it is absent. |
| Contradicted | Badhita | The absence of the major term (Sadhya) in the minor term (Paksha) is directly contradicted by other valid means of knowledge (like perception). |
| Misleading / Erroneous Timing | Satpratipaksha / Prakaranasama | The Hetu is contradicted by another Hetu that proves the opposite Sadhya for the same Paksha, and both Hetus have equal strength. |
Additional Information on Viruddha Hetvabhasa
The Contradicted Middle fallacy (Viruddha Hetvabhasa) is one of the five main types of fallacies of the middle term (Hetvabhasa) recognized in Nyaya philosophy. It is crucial for understanding valid inference (Anumana). A Hetu must be a positive reason supporting the Sadhya. When it acts as a negative reason, supporting the opposite, the inference is invalid. A classic example is: "The sky-lotus is fragrant because it is a lotus, like the lotus in the pond." Here, 'being a lotus' usually indicates fragrance, but 'sky-lotus' does not exist, making the Hetu 'being a lotus' in relation to a sky-lotus flawed, but the core idea of Viruddha relates to the pervasion, as seen in the 'produced'/'eternal' example.
Understanding Viruddha requires careful examination of the relationship (Vyapiti) between the middle term and the major term. The Hetu must be invariably concomitant with the Sadhya, not with its absence.
Important Questions from Hetvabhasas (Fallacies of Inference)
Given below are two statements
Statement I: According to Classical Indian Logicians, all fallacies are material fallacies.
Statement II: According to Classical Indian Logicians, fallacies could be purely formal as well as purely informal.
In light of the above statements, choose the most appropriate answer from the options given below
"XYZ Home Finance offers best financial product in the country because like a family member and a good friend XYZ Home Finance fulfills your need to have your own sweet home". Which of the following fallacies is committed in this argument?
"Fire is cold because it is a substance’ represents which of the following Hetvabhasa?
Given below are two statements
Statement I: "To slow a beast, you break its limbs. To slow a nation you break its people."- is an example of analogical argument.
Statement II: "To slow a beast, you break its limbs. To slow a nation you break its people"- is an example of nonargumentative use of analogy.
In light of the above statements, choose the correct answer from the options given below
- "The universe must be spherical in form since all the constituent parts of the universe, stars and planets, etc. are spherical in form." Which fallacy is committed in the above argument?
