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Updated: May 24, 2025
From what has been said it is evident that, both as regards intuitive knowledge and as regards derivative knowledge, if we assume that intuitive knowledge is trustworthy in proportion to the degree of its self-evidence, there will be a gradation in trustworthiness, from the existence of noteworthy sense-data and the simpler truths of logic and arithmetic, which may be taken as quite certain, down to judgements which seem only just more probable than their opposites.
Secondly, from what has been said it plainly follows, that these magnified maxims are not the principles and foundations of all our other knowledge. For if there be a great many other truths, which have as much self-evidence as they, and a great many that we know before them, it is impossible they should be the principles from which we deduce all other truths.
In derivative knowledge our ultimate premisses must have some degree of self-evidence, and so must their connexion with the conclusions deduced from them. Take for example a piece of reasoning in geometry.
Again, self-evidence must not be the same thing as the absence of doubt or the presence of complete certainty. If we are completely certain of a proposition, we do not seek a ground to support our belief. If self-evidence is alleged as a ground of belief, that implies that doubt has crept in, and that our self-evident proposition has not wholly resisted the assaults of scepticism.
Mill, "Apart from experience, and arguing on what is called reason, that is, on supposed self-evidence, the notion seems to be that no causes can give rise to products of a more precious or elevated kind than themselves. But this is at variance with the known analogies of nature.
Friends had vanished, a father had gone to his grave, believing almost to the last that it had been his money and the astuteness of his lawyers that had obtained freedom for a guilty son, certainly not a self-evidence of innocence that had caused the twelve men to report back to the judge that they had been unable to force their convictions "beyond the shadow of a doubt."
What we firmly believe, if it is not true, is called error. What we firmly believe, if it is neither knowledge nor error, and also what we believe hesitatingly, because it is, or is derived from, something which has not the highest degree of self-evidence, may be called probable opinion. Thus the greater part of what would commonly pass as knowledge is more or less probable opinion.
Thus, reflecting that the understanding of our soul is the eye of the owl, I find the soul's repose only in ignorance. For it is better both for the Catholic Faith and for Philosophic Faith to confess our blindness, than to affirm as evident what does not afford our mind the contentment which self-evidence gives.
Now, the revealed doctrines of original sin and of the Trinity show that the first and second of these axioms are false, and the Church doctrine of the preservation of the world as a continuous creation, that the last principle is uncertain. Thus if not even self-evidence furnishes us a criterion of truth, we must conclude that none whatever exists.
He responded with fair ardour and tried to banish his grievances against her. He assured her that all her alarm and tribulation were not his fault, but her own; and her responsive agreement and servile tact, by its self-evidence defeated its own object and fretted the man's nerves, despite his kindly feelings.
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