THE PHILOSOPHY OF MATHEMATICS AND NATURAL SCIENCES AT EDUCATION OF TECHNICAL FACULTIES AND FACULTIES OF NATURAL SCIENCES AND MATHEMATICS

Metafiziku, fiziku i matematiku Aristotel je, u odnosu na trodijelnu podjelu znanosti, svrstao u teorijske znanosti. Fizici i matematici ne pripada “ono vječno, nepokretno i samostalno” pa time one ne mogu preuzeti ulogu prve filozofije. Znanost ne može izaći iz sebe same da bi mogla pronaći svoje uporište. Zbog toga znanost treba filozofiju. Dakle, može se govoriti o filozofiji matematike i filozofiji prirodnih znanosti. Tehnički i prirodoslovno-matematički fakulteti na različite načine izučavaju matematiku i prirodne znanosti i to u okviru samih tih znanosti. Mišljenje o tim znanostima zahtijeva odmak iz njih i kritičko promišljanje znanosti, odnosno kritičko promišljanje zasnovanosti znanosti. Time se pravi distinkcija između znanstvenog i filozofskog mišljenja. Ta su dva mišljenja komplementarna i zajedno omogućavaju cjelovito razumijevanje znanosti. Potpuno razumjevanje matematike i prirodnih znanosti traži i filozofsko promišljanje o tim znanostima. Zato je neophodno na institucijama gdje se izučavaju ove znanosti uvesti predmet Filozofija matematike i filozofija prirodnih znanosti, što bi omogućilo cjelovitu naobrazbu onih koji izučavaju te znanosti, a što ih određuje za stvaralačko znanstveno djelovanje.Regarding three-part classification of science, Aristotel put metaphysics, physics and mathematics in theoretical sciences. “ The eternal, unmoveable and independent” does not belong to physics and mathematics, so by that they can’t take role of first philosophy. Science can’t go out from itself trying to find its base. Because of that science needs philosophy. So we can talk about a philosophy of mathematics and philosophy of natural sciences. Technical faculties and natural sciences and mathematics faculties are teaching mathematics and natural sciences in different ways, staying in frames of those sciences. The opinion about those sciences demands making from themselves, and critical thinking about science, that is about founding of science. It is made distinction by that between scientific and philosophical opinion. Those opinions are complementary and together make possible complete understanding of science. Complete understanding of mathematics and natural sciences needs philosophical thinking too. That is the reason why it is necessary to have a subject Philosophy of mathematics and natural sciences in faculties of mathematics and natural sciences. This would enable complete education for those who are learning mathematics and natural sciences, which determines their creative scientific work

Mutual Influences of the Arabic and European Mathematics

The development of mathematics in Arabic language, in the Middle Ages, reached its peak by the 13Ih Century and then Europe was prepared to accept that Science. It was only in the 15th Century with the Summa de arithmetica, written by Luca Pacioli, that Hindu-Arabic numbers came to be generally accepted and that was when the development of new ideas started in European mathematics. Science in Ottoman Turkey by the 19th Century had consisted of »the Science in Arabic and Persian language« as well as their continuation that meant mostly its further decline. With the Ottoman Rule, Bosnia entered the sphere of Islamic-Oriental civilization reflected in ali aspects of life. Arabic manuscripts of the classic Arabic period preserved and kept in Gazi Husrevbey Library in Sarajevo originate from that time. In the 18th Century the first military reform in Turkey made it possible for the foreign experts to come and widen the influence of the European Science onto the »Science in Arabic«. Thereby, in Ottoman Turkey, a full circle of mutual influences of Arabic and European mathematics has come to its natural close

PRIMJER UPOTREBE TEORIJE FUNKCIJE KORISNOSTI U TEORIJI UGOVORA

Tradicionalna ekonomska analiza izbora u uvjetima neizvjesnosti i rizika zasnivase na teoriji očekivane korisnosti. U ovom radu je korišten matematički modelizveden iz teorije funkcije korisnosti koji je primijenjen na polju investitorskihugovaranja, tj. pri izboru vrste tenderskog ugovora od strane investitora.Pomenuti matematički model se koristi za donošenje optimalne odluke priizboru vrste tenderskog ugovora od strane investitora. Analizirane su relativneuštede dobijene korištenjem rezultirajućih optimalnih ugovora u odnosu na čestokorištenu vrstu ugovora, ugovor sa dodatkom. Podaci su prikupljeni od nekolikodržavnih institucija s ciljem ukazivanja na mogućnost poboljšanja izboraugovora u odnosu na ugovor sa dodatkom. Analiza je pokazala da se, sapretpostavkom da su igrači racionalni, može uštedjeti pri drugačijem načinuizbora ugovora, što je potvrdilo da upotreba teorije funkcije korisnosti dajemogućnost povećanja efikasnosti, tj. optimizacije korisnosti samih učesnika uprojektu tenderskog ugovora

Letter to Editor: RESITA NETWORK - ACADEMIC ENTREPRENEURSHIP AND INNOVATION NETWORK OF SOUTH EASTERN EUROPEAN UNIVERSITIES: AN EXAMPLE OF SUCCESSFUL NETWORKING IN ENTREPRENEURSHIP AND INNOVATION AT ACADEMIC LEVEL

The foundation, development, activities, and wider social impact of the AcademicEntrepreneurship and Innovation Network of South Eastern European Universities, or shortlyRESITA Network, is presented in this paper as a positive example of successful networking inentrepreneurship and innovation at academic level