A little about limits

61

In 1949, a series of three stamps was again issued based on drawings by the artist V. Klimashin, dedicated to the memory of the first Russian academician M.V. Lomonosov. On two of them there is a portrait of M. V. Lomonosov (after the engraving by M. Schreyer), and on the third there is the building of the Kunstkamera in Leningrad, where the great scientist worked from 1747 to 1765.

In 1955, the 200th anniversary of Moscow University, named after M.V. Lomonosov, was celebrated. In honor of this date, two stamps are issued, one of which (see photo) shows a portrait of M.V. Lomonosov against the background of the old university building (figure by S. Pomansky). In February 1956, a special block appeared, consisting of four stamps of the same figure.

In December 1956, a series of stamps was issued dedicated to the letters issued to our Motherland, and we again see on one of these stamps a portrait of M.V. Lomonosov against the backdrop of the Kunstkamera building.

Finally, in November 1961, a new series of three stamps was issued in honor of the 250th anniversary of the birth of the Russian scientist-encyclopedist, therefore, the transformer of the Russian literary language, M. V. Lomonosov. On the stamp (cost 4 kopecks) there is a monument to M.V. Lomonosov—sculptor N.V. Tomsky—against the background of the high-rise building of Moscow State University (figure S. Pomansky).

On the stamp the cost is 6 kopecks—a portrait of M.V. Lomonosov—according to the engraving by M. Schreyer—and on the stamp the cost is 10 kopecks—a portrait of M.V. Lomonosov against the backdrop of a Pomeranian village near Kholmogory and the Kunstkamera (figure E. Komarov).

The department is headed by A.V. Altykis.

1. To speed things up, we suggest looking at Zeno’s paradox: fleet-footed Achilles will not be able to catch up with the turtle. After all, first he must reach the points where it was at the initial moment, but during this time the turtle will crawl to another point. When Achilles is accessible to this point, the turtle will crawl even further and so on ad infinitum. Where is the contradiction?

Fig. 1.

2. A celluloid ball was dropped onto a cast iron plate from a certain height. With each bounce, the kinetic energy of the ball decreases by a factor of four.

Will there come a moment when the ball lies motionless on the plate (Fig. 1)?

Fig. 2.

3. There is a hare in a box with two answerers. On one side there are faces creeping towards the box, and on the other there is a wolf.

Looking at one of the answers, the hare spotted the fox and jumped to the other one in 1 second. Seeing the wolf, the hare jumped back to the first answer in 1/2 second. From there in 1/4 second to second, 1/8 second to first and so on.

Will there come a time when the hare will immediately look out of the answers (Fig. 2)?