Državna Matura Logic case studies
Državna Matura Logic · Put your knowledge to work in context.
Logika is an elective subject on the Državna Matura (State Matura), the national school-leaving examination battery in Croatia. Candidates take it to demonstrate formal reasoning ability for university admission, particularly for study programmes in philosophy, law, mathematics, computer science, linguistics and teacher education, and to satisfy matriculation requirements alongside compulsory subjects. The examination is delivered in Croatian and tests standard introductory logic rather than advanced mathematics: the structure and kinds of concepts and definitions, the analysis of categorical and compound propositions and the logical relations among them, classical propositional logic including truth tables, tautologies and formal proof, classical predicate logic with quantifiers and multiple generality, the theory of inference and validity, identification and analysis of informal fallacies, and basic elements of modal and non-classical logic. Tasks range from recognition and short answer to constructed responses in which you must formalise an argument or justify a derivation, so passive familiarity is not enough. The Državna Matura Logic case studies are 5 cases and about 2,017 words.
1Statutarna definicija 'redovitog člana' i pravo glasa
Studentski zbor Fakulteta organizira glasovanje o novom pravilniku. U statutu piše da je 'redoviti član' onaj 'koji redovito sudjeluje u aktivnostima zbora i podmiruje članarinu'.
474 words, about 2 min2Četiri obavijesti o izložbi i logički odnosi
Na oglasnoj ploči knjižnice četiri su obavijesti o otvaranju izložbe. Neka P znači 'izložba je otvorena u petak', a Q 'kustos je prisutan'.
386 words, about 2 min3Pravila upisa i lančani modus tollens
Knjižnica uvodi pravila za upis u napredni tečaj. Od 35 prijavljenih, 12 je već položilo osnovni kolegij, ali njih 5 nema položen prethodni modul.
389 words, about 2 min4Pet polaznika, kvantifikatori i mentorstvo
Koordinacija radionica provjerava pet prijavljenih polaznika. Neka P(x) znači 'x je položio sigurnosnu provjeru', a Q(x) 'x ima pisanu suglasnost'.
385 words, about 2 min5Nužnost, mogućnost i dvorana A
U laboratoriju za robotiku raspravlja se o rasporedu vježbi. Neka P znači 'vježba se izvodi u dvorani A'.
383 words, about 2 min