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This essay’s content is rendered by the titles of the successive sections. 1. Effective solvability versus intuitive solvability. — 2. Decidability, i.e. effective solvability, in predicate logic. The speedup phenomenon — 3. Contributions of the second-order logic to the problems of solvability — 4. The infinite progress of science in the light of Turing’s idea of the oracle. The term “oracle” is a technical counterpart of the notion of mathematical intuition.

A more detailed summary can be obtained through juxtaposing the textboxes labelled with letters A...F. Conclusion: in the progress of science an essential role is played by the feedback between intellectual intuitions (intuitive solvability) and algorithmic procedures (effective solvability).


Implementing creative engineering, or in other words the progress of science, in forestry practice requires the integration of knowledge from its various branches concerning the impact of human activity on the Earth’s ecosystem. In fact, various aspects of development in the forest services are already associated with ecological engineering, which in practice includes biology, economy, sociology as well as technical and mechanical construction. Special attention was given to modelling as the most productive method of promoting progress in forest management. In the case of biological engineering in forest ecology, for example, various possibilities of applying genetic engineering as a potential future method for increasing productivity as well as for the preservation of genetic diversity and environmentalprotection are discussed in more detail. Literature recommendations concerning engineering in forestry accessible to students of the Extramural Doctorate Studies at the Forest Research Institute in Sękocinare also presented.

Barriers Restricting the Free Dissemination of Scientific Achievements: Own Experiences in Crossing Walls and Bridges

The most important issues in the administration of modern science is "editorial correctness" of scientific articles. Editors of the most prestigious scientific journals know how to build an impact factor. Is an overly rigorous procedure for submitted manuscripts appropriate in every case?

The constant progress of science and the development of researchers is undeniable and remarkable. We dissociate ourselves from the principle of "publish a lot and quickly" recommended during the postdoctoral phase or other periods of a scientist's career. Quality requires time and humility towards that which was discovered and that which is still unknown.


The challenges of the globalized world, the constant progress of science and technology increasingly lead to a state of interdependence between countries which should lead to intercultural relations generate an attitude of respect for diversity with a more humane vision of life to work in international teams. Universities as organizations embedded in the dynamics of globalization offer academic programs with international or multicultural approach that encourage the development of skills, aptitudes and values according to international defendant. To do this, the recruitment of foreign personnel becomes imperative in meeting planned objectives, so the challenge of foreign teachers is presented to be inserted in different cultural environments transcend and reach their educational work in the formation of their students. The aim of this paper is to offer some reflections on the importance of intercultural communication product born of the increasing mobility of teachers who face the challenge of surviving in a country with different culture.


During the second half of the long 19th century „precarious nature“ moves to the center of a variety of popular discourses. The increasing visibility of and reflection on the human manipulation and destruction of nature is equally important for an understanding of precarious nature as is the publicly received progress of science and the social transformation caused by industrialization and accompanying processes. All these fields create versions of human-nature-relations and of ‘natural’ lifestyles and -forms under increasingly precarious conditions. Precarious nature provides a perspective which allows for the recognition of the dual conditioning of nature in literature, popular science and personal as well as travel narratives and the analysis of its part in the production of affective, discursive and material environments. Ecological story-telling is a vital force which produces a specific proto-ecological knowledge in representations of village-home and forest-wilderness. Liminal spaces between nature and culture thus can be recognized as privileged sites of the negotiation of human-nature-relationships.


The author discusses issues of sustainable development in rural areas in Poland from the perspective of natural resources management. Sustainable development of rural areas is the way of managing which links economic, social and ethical principles with ecological safety. This may be reached by proper management, directed on cautious usage of ecosystems’ self-controlling mechanisms, with the progress of science and technology. Agriculture in Poland is one of the most important sectors from an economic perspective and its importance is greater in Poland than in other countries in the EU. It has an influence not only on the social and economic situation of the rural population, but also on the natural environment, structure of landscape and biodiversity. From ecological point of view, functions of rural areas are not only being a place for production of food, resources for industry and green energy, but also supplying environmental goods such as protection of biodiversity and influencing air and water quality as well as landscape. The author presents ways to reduce the pressure of agricultural activities on water resources in the region, catchment and farm scale

University Press, 1990 (2nd ed.), p. 62. 4. An extensive account of Chatin’s theory and its applications to the progress of sciences can be found in the book by Douglas S. Robertson Phase Change: The Computer Revolution in Science and Mathematics, Oxford University Press 2003. As for G. J. Chaitin’s original texts, for present purposes his Information, Randomness & Incompleteness: Papers on Algorithmic Information Theory (World Scientific, Singapore 1990) would be very useful. 5. This term appears in most recent discussions to take advantage of the explanatory merits of

- sentatives of the doctrine, not unlike the awareness that material discussion and criticism are crucial for the progress of science. Th e scientifi c value of the book as well as its practical use for judges, prosecutors, lawyers, experts and interested practitioners as well as for students are evident. Tadeusz Tomaszewski Piotr Girdwoyn’

. „Patents and the Progress of Science: Exclusive Rights and Experimental Use”, in University of Chicago Law Review, vol. 56, 1989, pp. 1017-1086. [20] M. Feldman et al., „Equity and the Technology Transfer Strategies of American Research Universities”, in Management Science, vol. 48(1), January 2002, pp. 105-121. [21] B.M. Frischmann. „Commercializing University Research Systems in Economic Perspective: A View from the Demand Side”, in University Entrepreneurship and Technology Transfer: Process, Design, and Intellectual Property, G.D. Libecap, Stamford (CT): JAI Press

treatment is found in some other articles of mine. The most recent of them are the following two. [1] “Does science progress towards ever higher solvability through feedbacks between insights and routines?” in: Studia Semiotyczne, vol. XXXII no 2 (2018), pp. 153–185. [2] “The progress of science from a computational point of view: the drive towards ever higher solvability” in: Foundations of Computing and Decision Sciences, Vol. 44, No. 1, 2019, pp. 17–26. 2 “Hao Wang, A Logical Journey: From Gödel to Philosophy”, Sec.6.19, p. 186. 3 The most systematic discussion is