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Sylvester, J.J. (1814 - 1897)

[On graph theory:]
The theory of ramification is one of pure colligation, for it takes no account of magnitude or position; geometrical lines are used, but these have no more real bearing on the matter than those employed in genealogical tables have in explaining the laws of procreation.

In H. Eves, Mathematical Circles Adieu, Boston: Prindle, Weber and Schmidt, 1977.

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Loci: Convergence

Mathematical Quotations

Our library of quotations is organized alphabetically by surname of the author.

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Pascal, Blaise (1623-1662)

There are two types of mind ... the mathematical, and what might be called the intuitive. The former arrives at its views slowly, but they are firm and rigid; the latter is endowed with greater flexibility and applies itself simultaneously to the diverse lovable parts of that which it loves.


Pascal, Blaise (1623-1662)

However vast a man's spiritual resources, he is capable of but one great passion.


Pascal, Blaise (1623-1662)

The more I see of men, the better I like my dog.


Pascal, Blaise (1623-1662)

The more intelligent one is, the more men of originality one finds. Ordinary people find no difference between men.


Pascal, Blaise (1623-1662)

Look somewhere else for someone who can follow you in your researches about numbers. For my part, I confess that they are far beyond me, and I am competent only to admire them.
[Written to Fermat]


Pascal, Blaise (1623-1662)

Let us weigh the gain and the loss in wagering that God is. Let us consider the two possibilities. If you gain, you gain all; if you lose, you lose nothing. Hesitate not, then, to wager that He is.


Pascal, Blaise (1623-1662)

[I feel] engulfed in the infinite immensity of spaces whereof I know nothing, and which know nothing of me. I am terrified. The eternal silence of these infinite spaces alarms me.


Pascal, Blaise (1623-1662)

The last thing one knows when writing a book is what to put first.


Pascal, Blaise (1623-1662)

What is man in nature? Nothing in relation to the infinite, all in relation to nothing, a mean between nothing and everything.


Pascal, Blaise (1623-1662)

Reverend Fathers, my letters did not usually follow each other at such close intervals, nor were they so long .... This one would not be so long had I but the leisure to make it shorter.


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