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not produce smoke; fire must be associated with green wood in order to produce smoke. Green wood is thus the necessary condition (_upadhi_) without which, no smoke could be produced. It is on account of this condition that fire is associated with smoke; and so we cannot say that there is smoke because there is fire. But in the concomitance of smoke with fire there is no condition, and so in every case of smoke there is fire. In order to be assured of the validity of vyapti, it is necessary that we must be assured that there should be nothing associated with the hetu which conditioned the concomitance, and this must be settled by wide experience (_bhuyodars'ana_). Pras'astapada in defining inference as the "knowledge of that (e.g. fire) associated with the reason (e.g. smoke) by the sight of the reason" described a valid reason (_li@nga_) as that which is connected with the object of inference (_anumeya_) and which exists wherever the object of inference exists and is absent in all cases 349 where it does not exist. This is indeed the same as the Nyaya qualifications of _pak@sasattva, sapak@sasattva and _vipak@sasattva_ of a valid reason (hetu). Pras'astapada further quotes a verse to say that this is the same as what Kas'yapa (believed to be the family name of Ka@nada) said. Ka@nada says that we can infer a cause from the effect, the effect from the cause, or we can infer one thing by another when they are mutually connected, or in opposition or in a relation of inherence (IX. ii. 1 and III. i. 9). We can infer by a reason because it is duly associated (_prasiddhipurvakatva_) with the object of inference. What this association was according to Ka@nada can also be understood for he tells us (III. i. 15) that where there is no proper association, the reason (hetu) is either non-existent in the object to be inferred or it has no concomitance with it (_aprasiddha_) or it has a doubtful existence _sandigdha_). Thus if I say this ass is a horse because it has horns it is fallacious, for neither the horse nor the ass has horns. Again if I say it is a cow because it has horns, it is fallacious, for there is no concomitance between horns and a cow, and though a cow may have a horn, all that have horns are not cows. The first fallacy is a combination of pak@sasattva and sapak@sasattva, for not only the present pak@sa (the ass) had no horns, but no horses had any horns, and the second is a case of vipak@sasattva, for thos
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