The discovery story of photovoltaic cells is entirely typical. Chance played a role in it, and before it went to the average user, it first served the army. In addition, as with the discovery of electricity, there are many scientists and more than 100 years of technological development behind how modern photovoltaic cells and solar panels work. The first photovoltaic panels were able to power, at most, a radio. Today their power allows for the production of energy for the entire household. Technology is continuously developing, and the hence achieved efficiency keeps growing. Modern silicon solar cells of large photovoltaic farms power thousands of buildings, and this installation can be seen more and more often. This article describes the development of the use of solar energy since ancient times and the comprehensive history of the invention of the photovoltaic cell, starting with the discovery of the photoelectric effect by Edmond Becquerel in 1839 to the achievement of nearly 50% efficiency under laboratory conditions. The advances in photovoltaic cell efficiency and the price of energy production per watt over the years are also shown. Examples of the first applications of photovoltaics are given, and profiles of figures who contributed to the development of solar technology are introduced. The considerable influence of Polish scientists on the development of the photovoltaic cell is also highlighted. Without them, this method of obtaining energy would perhaps not be at high levelh level today.

The article is a part of materials regarding current problems of Polish science and higher education. It provides an in-depth analysis of the Act on degrees and academic titles as well as several other laws which introduce the so-called Ph.D. implementation in Poland. These laws were adopted by the Sejm of the Republic of Poland in April 2017. The author focuses on several problems, discussing them in separate chapters. The article also tries to predict the far-reaching results of the new rules. At the same time, the author proposes specific solutions that should be included in the future in the Act on degrees and academic titles, or in the Act of industrial property. They should eliminate the negative effects of conflicts between the provisions of various legal acts.

Science means here mathematics and those empirical disciplines which avail themselves of mathematical models. The pragmatic approach is conceived in Karl R. Popper’s The Logic of Scientific Discovery (p. 276) sense: a logical appraisal of the success of a theory amounts to the appraisal of its corroboration. This kind of appraisal is exemplified in section 6 by a case study—on how Isaac Newton justified his theory of gravitation. The computational approach in problem-solving processes consists in considering them in terms of computability: either as being performed according to a model of computation in a narrower sense, e.g., the Turing machine, or in a wider perspective—of machines associated with a non-mechanical device called “oracle” by Alan Turing (1939). Oracle can be interpreted as computer theoretic representation of intuition or invention. Computational approach in another sense means considering problem-solving processes in terms of logical gates, supposed to be a physical basis for solving problems with a reasoning.

Pragmatic rationalism about science, seen at the background of classical rationalism (Descartes, Gottfried Leibniz etc.), claims that any scientific idea, either in empirical theories or in mathematics, should be checked through applications to problem-solving processes. Both the versions claim the existence of abstract objects, available to intellectual intuition. The difference concerns the dynamics of science: (i) the classical rationalism regards science as a stationary system that does not need improvements after having reached an optimal state, while (ii) the pragmatical version conceives science as evolving dynamically due to fertile interactions between creative intuitions, or inventions, with mechanical procedures.

The dynamics of science is featured with various models, like Derek J. de Solla Price’s exponential and Thomas Kuhn’s paradigm model (the most familiar instances). This essay suggests considering Turing’s idea of oracle as a complementary model to explain most adequately, in terms of exceptional inventiveness, the dynamics of mathematics and mathematizable empirical sciences.