Showing posts with label Leo Tolstoy. Show all posts
Showing posts with label Leo Tolstoy. Show all posts

28 January 2012

The Infinite Goodness of the Creator

Your loss is so terrible that I can only explain it to myself as a special providence of God who, loving you, wishes to try you and your excellent mother. Oh, my friend! Religion, and religion alone, can—I will not say comfort us—but save us from despair. Religion alone can explain to us what without its help man cannot comprehend: why, for what cause, kind and noble beings able to find happiness in life—not merely harming no one but necessary to the happiness of others—are called away to God, while cruel, useless, harmful persons, or such as are a burden to themselves and to others, are left living.

The first death I saw, and one I shall never forget—that of my dear sister-in-law—left that impression on me. Just as you ask destiny why your splendid brother had to die, so I asked why that angel Lise, who not only never wronged anyone, but in whose soul there were never any unkind thoughts, had to die. And what do you think, dear friend? Five years have passed since then, and already I, with my petty understanding, begin to see clearly why she had to die, and in what way that death was but an expression of the infinite goodness of the Creator, whose every action, though generally incomprehensible to us, is but a manifestation of His infinite love for His creatures.

Leo Tolstoy, War and Peace

Painting: Walter MacEwen (1860 – 1943), The Absent One on All Soul's Day

26 January 2012

The Conception of the Infinitely Small

There is a well known, so-called sophism of the ancients, that Achilles could never catch up with a tortoise he was following, in spite of the fact that he traveled ten times as fast as the tortoise. By the time Achilles has covered the distance that separated him from the tortoise, the tortoise has covered one tenth of that distance ahead of him: when Achilles has covered that tenth, the tortoise has covered another one hundredth, and so on forever. This problem seemed to the ancients insoluble. The absurd answer (that Achilles could never overtake the tortoise) resulted from this: that motion was arbitrarily divided into discontinuous elements, whereas the motion both of Achilles and of the tortoise was continuous.

A modern branch of mathematics having achieved the art of dealing with the infinitely small can now yield solutions in other more complex problems of motion which used to appear insoluble.

This modern branch of mathematics, unknown to the ancients, when dealing with problems of motion admits the conception of the infinitely small, and so conforms to the chief condition of motion (absolute continuity) and thereby corrects the inevitable error which the human mind cannot avoid when it deals with separate elements of motion instead of examining continuous motion.

Leo Tolstoy, War and Peace

Painting: Pompeo Girolamo Batoni, Achilles at the court of Lycomedes (1746)

Sophism: Noun; An argument apparently correct in form but actually invalid; especially, such an argument used to deceive.

09 September 2011

Mystical Books

Painting: Felix Vallotton (1865 - 1925)
I never could understand the fondness some people have for confusing their minds by dwelling on mystical books that merely awaken their doubts and excite their imagination, giving them a bent for exaggeration quite contrary to Christian simplicity. Let us rather read the Epistles and Gospels. Let us not seek to penetrate what mysteries they contain; for how can we, miserable sinners that we are, know the terrible and holy secrets of Providence while we remain in this flesh which forms an impenetrable veil between us and the Eternal?

Leo Tolstoy, War and Peace

Painting: Felix Vallotton (1865 - 1925)