Magnitude-notions are only possible where there is an antecedent general notion which admits of different specialisations. According as there exists among these specialisations a continuous path from one to another or not, they form a continuous or discrete manifoldness; the individual specialisations are called in the first case points, in the second case elements, of the manifoldness.
Bernhard RiemannRelated topics
antecedent case different form general individual manifoldness notion path possible second elements pointsRelated quotes
My poor soul! Sigh, pray and strive to take upon you the blessed yoke of Christ, and you will live on earth in a heavenly manner. Lord, grant that I may carry the light and goodly yoke, and I shall be always at rest, peaceful, glad and joyous; and I shall taste on earth of crumbs which fall from the celestial feast, like a dog that feeds upon the crumbs which fall from the master's table.
Tikhon of Zadonsk
Maybe you want to give me kisses sweet,
But only for one night with no repeat.
Maybe you'd go away and never call,
And a taste of honey is worse than none at all (oh little girl)
Oh little girl, in that case I don't want no part. (I do believe that)
That would only break my heart.
Oh, but if you feel like loving me,
If you got the notion,
I second that emotion.
Smokey Robinson
In this aspect, the case for democracy rests on the argument that free discussion and expression of opinion are the most suitable techniques of arriving at the moral imperative implicitly common to all. Voting, from this point of view, is not a device whereby each individual expresses his personal interests, but rather where each individual gives his opinion of the general will.
Kenneth Arrow
One of my conjectures was solved in six months, a second in five years, a third in ten. But the basic conjecture, despite heroic efforts rewarded by two Fields Medals, remains a conjecture, now called MLC: the Mandelbrot Set is locally connected. The notion that these conjectures might have been reached by pure thought - with no picture - is simply inconceivable.
Benoît Mandelbrot
I used to say that, as Solicitor General, I made three arguments in every case. First came the one I had planned – as I thought, logical, coherent, complete. Second was the one actually presented – interrupted, incoherent, disjointed, disappointing. The third was the utterly devastating argument that I thought of after going to bed that night...
Robert H. Jackson
