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Page "Syllogism" ¶ 17
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sorites and is
For example, if one argues that a given number of grains of sand does not make a heap and that an additional grain does not either, then to conclude that no additional amount of sand would make a heap is to construct a sorites argument.
The sorites paradox ( from sōreitēs, meaning " heaped up ") is a paradox that arises from vague predicates.
Appendix 2 of LoF shows how to translate traditional syllogisms and sorites into the pa. A valid syllogism is simply one whose pa translation simplifies to an empty Cross.
A polysyllogism ( also called multi-premise syllogism, sorites, climax, or gradatio ) is a string of any number of propositions forming together a sequence of syllogisms such that the conclusion of each syllogism, together with the next proposition, is a premise for the next, and so on.
A sorites is a specific kind of polysyllogism in which the predicate of each proposition is the subject of the next premise.
In other words, a sorites is a heap of propositions chained together.

sorites and .
The word " sorites " derives from the Greek word for heap.
) A sorites appears in Chapter 6 ( v. 17-20 ).
There are also dialetheic solutions to the sorites paradox.
Lewis Carroll uses sorites in his book Symbolic Logic.

is and form
( Since the time-span of the nation-state coincides roughly with the separate existence of the United States as an independent entity, it is perhaps natural for Americans to think of the nation as representative of the highest form of order, something permanent and unchanging.
And it is expressed, at least to their taste, in a perfect form.
The unit of form is determined subjectively: `` the Heart, by the way of the Breath, to the Line ''.
The test of form is fidelity to the experience, a gauge also accepted by the abstract expressionist painters.
But in this approach it is the artist's ultimate insight, rather than his immediate impressions, that gives form to the work.
It is through the metamorphosed dancer that the germ of form is discovered.
It only means that there will be new form, and that this form will be of such a type that it admits the chaos and does not try to say that the chaos is really something else.
That is why the form itself becomes a preoccupation, because it exists as a problem separate from the material it accommodates.
To find a form that accommodates the mess, that is the task of the artist now ''.
Though sex in some form or other enters into all human activity and it was a good thing that Freud emphasized this aspect of human nature, it is fantastic to explain everything in terms of sex.
How is the beat poet to achieve unity of form when he is at the same time engaged in a systematic derangement of senses.
But the highroad, according to the description of its traffic, belongs to life as it is lived in unawareness of death, while the way to the churchyard belongs to some other sort of life: a suffering form, an existence wholly comprised in the awareness of death.
And if I have gone into so much detail about so small a work, that is because it is also so typical a work, representing the germinal form of a conflict which remains essential in Mann's writing: the crude sketch of Piepsam contains, in its critical, destructive and self-destructive tendencies, much that is enlarged and illuminated in the figures of, for instance, Naphta and Leverkuhn.
All such imitations of negative quality have given rise to a compensatory response in the form of a heroic and highly individualistic humanism: if man can neither know nor love reality as it is, he can at least invent an artistic `` reality '' which is its own world and which can speak to man of purely personal and subjective qualities capable of being known and worthy of being loved.
Whitehead contends that the human way of understanding existence as a unity of interlocking and interdependent processes which constitute each other and which cause each other to be and not to be is possible only because the basic form of such an understanding, for all its vagueness and tendency to mistake the detail, is initially given in the way man feels the world.
In a bold, sometimes careless, form there is nothing academic ; ;
This is brought out in the next to last chapter of the book, `` A Hero's Funeral '', written in the form of an impassioned prose poem.
But let us not complain of the evils of capitalism by referring to a form that is not truly capitalistic.

is and argument
That is why, the argument runs, the squares are so fearful of jazz and yet perversely fascinated by it.
`` The argument that is cutting most ice is that Hearst is the only candidate who is fighting the trusts fearlessly and who would use all the powers of government to disrupt them if he were elected.
My argument is that there was no Saxon Shore prior to that time even though the forts had been in existence since the time of Carausius.
What was missing in the Governor's argument, as in so many similar arguments, was a premise which would enable one to make the ethical leap from what might be militarily desirable to what is right.
Sir Robert Watson-Watt's `` rebuttal '' of Sir Charles Snow's Godkin Lectures is marred throughout by too forceful a desire to defend Lindemann and apparently himself from Sir Charles' supposed falsehoods while stating those `` falsehoods '' in an unclear incoherent argument.
The argument against this last approach is comparable to that which rejects stories about hoop snakes, about snakes that break themselves into many pieces and join up again, or even of ghosts that chase people out of graveyards ; ;
For it is clear that the total number of ordinary intersections of C and Af must be even ( otherwise, starting in the interior of C, Af could not finally return to the interior ), and the center of rotation at T is the argument of the function, not a value.
Therefore, for any value of T the number of values of f{t} is equal to the ( finite ) number of tangent points corresponding to the argument T plus an odd number.
The Mathematical Appendix presents the rigorous argument, but is best read after Part 1, in order that the assumptions underlying the equations may be explicit.
There is nonetheless considerable argument against the clause, softened though it be, on the grounds that Federal aid is so necessary to the public schools.
The first argument is thus an ideal experiment in which we use the method of difference.
I come now to a third argument, which again is very simple.
Obviously, a satisfactory answer to the third question is imperative, if the argument is to get under way at all, for if there is any possibility of doubt whether the patient's tactual sensitivity had been impaired by the occipital lesion, any findings whatsoever in regard to the first question become completely ambiguous and fail altogether, of course, as evidence to establish the desired conclusion.
If the argument is accepted as essentially sound up to this point, it remains for us to consider whether the patient's difficulties in orienting himself spatially and in locating objects in space with the sense of touch can be explained by his defective visual condition.
Yet, if the argument is turned awry, there may be found a great deal in Bryan's view, after all.
More often, though, he is so accustomed to submitting to authority on the job without argument that he lives by the same rule at home.
This is the only valid, and extenuating, argument that may be advanced in defense of the reprehensible attitude of the common wine waiter.
`` The trouble, '' explained Loy Henderson, then Deputy Undersecretary for Administration, `` is that when we get into an argument with him about this thing, it always turns out that Rooney knows more about our budget than we do ''.

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