In the second conflict the thesis is at once guilty of a very palpable petitio principii, for it commences, "Every compound substance consists of simple parts.
His assertion that every conditioned presupposes a complete series of conditions, and therefore a series which ends with an unconditioned, is a petitio principii, which must simply be denied.
If immediate certainty is attributed to a proposition which has no such certainty, this is a petitio principii.
A more careful examination, then, of the reasoning given above will oblige one to confess that its first fundamental assumption is a petitio principii.
If you confound this distinction, and ask or assume something of the latter class as if it belonged to the former, you commit a Petitio Principii.
Distinct from all these three, however, Aristotle singles out and dwells upon another mode of error, which he calls Petitio Principii.
It must be granted that in every syllogism, considered as an argument to prove the conclusion, there is a petitio principii.
This is the major premise divested of the petitio principii, and cut down to as much as is really known by direct evidence.
If they were boys I would then explain to them that this is a petitio principii, but they know this as well as I do.
If, on the contrary, in the manner referred to, one leaves it all these properties, one is guilty of a concealed petitio principii, for one has assumed the Quaesita beforehand as Data.
And it is as much a petitio principii to assume, in Ethics, the existence of moral feelings, as to assume, in Optics, the existence of sight.
We obviously cannot argue from the analogy of man's action, since he is a part of the problem itself, included in the question, and such an analogy is a petitio principii.
I have always felt, in reading the writings devoted to this problem, a profound feeling of discomfort; I was always expecting to run against a petitio principii, and when I did not immediately perceive it, I feared I had overlooked it.
I understand Peanian too ill to dare risk a critique, but still I fear this definition contains a petitio principii, considering that I see the figure 1 in the first member and Un in letters in the second.
In so far as the objection of petitio principii relates, not to the nature of reasoning, but only to its form, this is entirely a matter of accident, and does not pertain to the syllogism as such.
The very construction of the syllogism, it is said, involves a petitio principii.
Both are syllogisms, the former analytic, the latter unfigured, but to neither does the objection ofpetitio principii apply so far as regards the mere form of statement.
The fallacy I mean is that of Petitio Principii, or begging the question; including the more complex and not uncommon variety of it, which is termed Reasoning in a Circle.
We have before remarked, that almost every fallacy may be referred to different genera by different modes of filling up the suppressed steps; and this particular one may, at our option, be brought under petitio principii.
Is it not then a petitio principii to say, that the fact ought to be disbelieved because the induction opposed to it is complete?
Zeno's famous dilemma, directed to prove that motion is impossible, covers a petitio principii.
It is in the facility that it affords for what is technically known as Petitio Principii that the Dilemma is a useful instrument for the Sophist.
This is the major premiss, divested of the petitio principii, and cut down to as much as is really known by direct evidence.
But if the words are cited as the proof, it would be a clear petitio principii, though there had been nothing else against it.
It might be objected, to the above argument, that it involves a petitio principii.
The syllogism always, say they, involves a petitio principii.
The above list will hopefully provide you with a few useful examples demonstrating the appropriate usage of "petitio principii" in a variety of sentences. We hope that you will now be able to make sentences using this group of words.
