Understanding Nyaya Fallacies (Hetvabhasa)

In Nyaya philosophy, a valid inference (Anumana) relies on a sound reason (Hetu) and a true universal concomitance (Vyapti) between the reason and the predicate (Sadhya). A fallacy, known as Hetvabhasa (literally 'semblance of a reason'), is an error in the inference where the reason appears valid but is not. Understanding these fallacies is essential for identifying incorrect arguments.

Matching Nyaya Fallacy Types with Examples

The question asks us to match specific types of Nyaya fallacies listed in List I with their corresponding examples provided in List II. Let's analyze each fallacy type and find the example that best illustrates it according to Nyaya principles.

A. Ashrayasiddha (Fallacy of Unproved Substratum)

This fallacy occurs when the subject (Paksha) of the inference is unreal or non-existent. Since the subject does not exist, the reason (Hetu) cannot reside in it, making the entire inference groundless.

Let's look at Example IV: "Sky lotus is fragrant because it belongs to the class of lotus".

• Subject (Paksha): Sky lotus
• Reason (Hetu): belongs to the class of lotus
• Predicate (Sadhya): fragrant

A 'sky lotus' is a non-existent entity. Therefore, the subject 'sky lotus' is unreal (Asiddha in terms of Ashraya). This perfectly matches the definition of Ashrayasiddha.

Thus, A matches with IV.

B. Svarupasiddha (Fallacy of Unproved Nature of Reason)

This fallacy arises when the reason (Hetu) is not present in the subject (Paksha). The nature (Svarupa) of the reason is such that it cannot exist in the subject it is meant to qualify.

Let's consider Example I: "Sound is eternal because it is visible".

• Subject (Paksha): Sound (Shabda)
• Reason (Hetu): visible (Drishyatva)
• Predicate (Sadhya): eternal (Nityatva)

The reason given is 'visibility'. However, sound is not visible; it is audible. The reason 'visibility' does not reside in the subject 'sound'. The reason's nature (Svarupa) is not found in the subject. This exemplifies Svarupasiddha.

Thus, B matches with I.

C. Vyapyatvasiddha (Fallacy of Unproved Concomitance)

This fallacy occurs when the universal concomitance (Vyapti) between the reason (Hetu) and the predicate (Sadhya) is unproved or invalid. The relation 'wherever there is Hetu, there is Sadhya' is not established or is faulty.

Let's examine Example II: "All real are momentory; sound is real; sound is momentory".

• Subject (Paksha): Sound
• Reason (Hetu): real (Sat)
• Predicate (Sadhya): momentory (Kshanika)
• Asserted Vyapti: All real (Hetu) are momentory (Sadhya).

This example presents an inference where 'real' is used as a reason to prove 'momentary'. The premise "All real are momentory" states the Vyapti. If this universal concomitance between 'real' and 'momentary' is not universally accepted or proven (for instance, if one holds that some real things are eternal), then the Vyapti is unproved or invalid. Using 'real' as a Hetu based on this unproved Vyapti leads to the fallacy of Vyapyatvasiddha.

Thus, C matches with II.

D. Anupasamhari (Non-conclusive Fallacy)

This is a type of Savyabhichara (Irregular Hetu) where the reason is too wide. It applies to all instances, leaving no cases (either homogeneous instances where the predicate exists or heterogeneous instances where it doesn't) for comparison to establish the Vyapti definitively. The universe of discourse is all-inclusive.

Let's look at Example III: "All objects are eternal because they are knowable".

• Subject (Paksha): All objects (Sarva padartha)
• Reason (Hetu): knowable (Prameyatva)
• Predicate (Sadhya): eternal (Nityatva)

The reason 'knowable' (Prameyatva) applies to everything that exists or can be thought of – i.e., all objects. Since the subject itself is 'all objects', the reason 'knowable' is present everywhere. There are no instances left to serve as Sapaksha (examples where the predicate 'eternal' exists) or Vipaksha (examples where the predicate 'eternal' does not exist and the reason 'knowable' is also absent) within the scope of 'all objects'. The reason is too wide or all-inclusive, making the inference non-conclusive (Anupasamhari).

Thus, D matches with III.

Summary of Correct Matches

Based on our analysis, the correct matches are:

• A — IV (Ashrayasiddha — Sky lotus is fragrant...)
• B — I (Svarupasiddha — Sound is eternal because it is visible...)
• C — II (Vyapyatvasiddha — All real are momentory...)
• D — III (Anupasamhari — All objects are eternal because they are knowable...)

Confirming the Correct Option

Let's compare our matches with the given options:

• Option 1: A - III, B - II, C - IV, D - I (Incorrect)
• Option 2: A - II, B - IV, C - I, D - III (Incorrect)
• Option 3: A - IV, B - I, C - II, D - III (Correct)
• Option 4: A - I, B - III, C - II, D - IV (Incorrect)

Our derived matches A – IV, B – I, C – II, D – III correspond exactly to Option 3.

Therefore, Option 3 is the correct answer.

Revision Table: Key Hetvabhasa (Nyaya Fallacies)

Here is a quick overview of the main types of Hetvabhasa discussed in Nyaya logic, including those in the question.

Additional Information on Nyaya Inference and Fallacies

In Nyaya, inference (Anumana) is a structured process to gain knowledge. It proceeds from the observation of a mark (Hetu) in a subject (Paksha) to infer the presence of a predicate (Sadhya) in that subject, based on a previously known universal relation (Vyapti) between the mark and the predicate.

A classic example is inferring fire on a hill:

• Paksha: The hill (where fire is inferred).
• Sadhya: Fire (what is inferred).
• Hetu: Smoke (the mark observed).
• Vyapti: Wherever there is smoke, there is fire (the universal relation).
• Paramarsha: The hill has smoke, and this smoke is invariably associated with fire.

Hetvabhasa are errors in this process, specifically concerning the reason (Hetu) or its relation to the subject and predicate. The five main classes of Hetvabhasa mentioned above (Savyabhichara, Viruddha, Satpratipaksha, Asiddha, Badhita) cover various ways an inference can be flawed. Recognising these fallacies is crucial for upholding the validity of logical reasoning in Nyaya.