Science producing differs from any other
producing and entrepreneurship in that, in addition to the standard toolkit of
production functions (financial, organizational, PR, etc.), it must provide
conditions for the emergence of ad hoc [3]. P. Feyerabend described ad hoc (for
a particular purpose) most fully as a phenomenon of scientific life [4,5].
Archimedes' ad hoc happened when he was taking a bath alone and realized how to
measure the volume of a complex piece of jewelry made of pure gold with the
help of the law discovered by him: "anybody completely or partially
submerged in water [gas or liquid] is equal to the weight of the fluid
displaced by the body". Undoubtedly, Archimedes was not focused on this
particular law. He tried to find out whether the goldsmith mixed foreign metal
with gold when forging the crown of King Hieron II. Galileo's ad hoc was a task
he received from the Tuscan Duke Cosimo II de Medici, who wanted to be in the
thick of the battle and safe at the same time. Galileo, just as Leonardo da
Vinci, the Dutchman Leeuwenhoek, Kepler, and Newton after Galileo, was crafting
a telescope with consecutively arranged lenses. He preferred to do this in
solitude at night. A cat was another midnighter constantly spinning under his
feet. Pushing the purr away, Galileo accidentally touched the invention with
his elbow and suddenly saw through the telescope the sky and the moon,
mountains and craters similar to the Earth's. At that time, the rotation of the
Earth around its axis was disproved by the simple consideration that in this
case, stones from the mountains should fall only in the evenings, while they
roll down at any time of the day. The heliocentric theory and the spherical
shape were then considered eccentric, contradicting the authority of Aristotle
and Ptolemy. Observing the movement and rotation of the planets in his
telescope, Galileo concluded that a geocentric world was impossible, but we
remember that he made an appliance that allowed the duke to be in the thick of
the battle and safe simultaneously. According to the legend, Dmitry Mendeleev
dreamed of his periodic table of chemical elements in the form of a solitaire
which was the chemist’s hobby: "They say that in search of connections
that unite the elements into a single foundation of the universe, Mendeleev wrote
names of the elements on one side of business cards, and on the other – their
atomic weight and formulas of the main compounds. For hours in his office, he
shifted this chemical "solitaire", arranging the elements according
to their properties in logical rows. In the end, as a chess player, he imagined
in his mind the entire field consisting of sixty-three cells [this is the
number of the elements known at that time], where the elements were to be
placed. But none of the options satisfied him. One day, in a dream he saw the
very order which he was unable to find in waking life. The vision was so clear
and precise that he woke up and wrote it down on a piece of paper. In the
morning the periodic table was ready" [6,7]. The story of solitude is told
about Isaac Newton and an apple that fell on his head on his parents' farm,
about the ship's doctor Robert Mayer who discovered the law of conservation of
energy, comparing blood tests of sailors taken in temperate and equatorial
latitudes, about Steve Hawking, who turned over the physical ontology of the
universe, sitting in a compartment of a commuter train. In fact, there are many
examples of this kind, and one can also refer to personal experience: from time
to time, in expeditions, there are situations in which all actions are
impossible. I call these situations "an action crisis", and I really
appreciate it when these states happen. Finding oneself in an action crisis, a
person (that is me) must calm down, stop fussing around and look for a way out
of this situation, go deeper into reflection and reasoning, for example, while
listening to good music or gazing at an inspiring landscape, then just doze off
and fall asleep. The most wonderful, beautiful, and unusual solutions, not to a
specific situation but of more general and abstract nature, come to the mind in
this very state of an action crisis. While a specific situation usually
resolves quickly enough as soon as new thoughts and ideas have emerged and
exhausted themselves. They say that God helps only those who are focused on a
particular problem and slips in an ad hoc solution to the seeker at the right
time.