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Philosophy of Applicability of Mathematics: Theoretical Models
(Filosofia aplicabilitatii matematicii: Modele teoretice)

Year: 2021; Author: Catalin Barboianu; Language: Romanian; ISBN: 9789731991917; Pages: 240.
Description: Īn acest volum, autorul prezintă īn mod critic modelele teoretice dezvoltate pentru a reprezenta aplicarea şi aplicabilitatea matematicii īn ştiinţe şi universul fizic, oferind soluţii constructive care răspund obiecţiilor fundamentale ridicate la aceste modele. Atenţia principală este acordată modelelor structurale, deoarece noţiunea de structură matematică intervine esenţial atāt īn caracterizarea matematicii pure, cāt şi aplicate, iar procesele mentale implică la rāndul lor reprezentări de tip structural. Lucrarea completează primul volum, dedicat puzzle-ului lui Wigner privind ‘eficacitatea iraţională a matematicii’ şi soluţiilor oferite la acesta, adresāndu-se īn special – dar nu exclusiv – matematicienilor, fizicienilor, filosofilor ştiinţei, filosofilor limbajului şi epistemologilor, dar şi studenţilor acestor discipline.
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What is Mathematics: School Guide to Conceptual Understanding of Mathematics

Year: 2021; Author: Catalin Barboianu; Language: English; ISBN: 9789731991986; Pages: 316.
Description: The book is a didactical unit conceived as a starting point and orientation guide to acquiring a holistic understanding of mathematics (for the student), and (for the teacher) a conceptual-epistemic approach to teaching in which conceptual understanding is as important as applicative-procedural skills. The nature of mathematics, its primary concepts (like numbers and sets), its structures, language, methods, roles, and applicability, are all presented in their essential content, and the explanation of non-mathematical concepts is done in an accessible language and with many relevant examples.
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Galileo's Defence

Year: 2019; Author: Octavian Paler; Translator: Catalina Tomescu; Language: English; ISBN: 9789731991962; Pages: 156.
Description: This book imagines the dialogue between the elderly Galileo and an unknown adversarial interlocutor who confronts the old astronomer on his abjuration, a pretext for the author to discuss fundamental questions of existence: moral compromise and survival solutions in totalitarian regimes, martyrial vocation, renunciations, and ethical dilemmas. It is a dialogue "on prudence and love", both a lyrical text and a dramatic battle of ideas in which Man is pitted against his own Conscience in a most vivid and tender plea for life. Galileo’s Defence is a book that raises rather than solves such dilemmas, an allegory for a truthful and painstaking effort of soul-searching. Galileo's Defence should be embarked upon as a journey of self-discovery at the end of which the reader can hope not ever to “come into conflict with our own selves” as the author once penned – or if we do, to trust our heart and say under our breath: “Nevertheless, it moves.”
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Philosophy of Applicability of Mathematics: Between Unreasonable and Reasonable (Romanian Edition)
(Filosofia aplicabilitatii matematicii: Intre irational si rational)

Year: 2018; Author: Catalin Barboianu; Language: Romanian; ISBN: 9789731991900; Pages: 204.
Description: Lucrarea abordeaza in mod logic, epistemologic, matematic si stiintific unul din "misterele" filosofiei stiintei si ale rationalitatii insasi, anume problematica filosofica dezvoltata in jurul sintagmei "eficacitatea irationala a matematicii", etichetata in literatura ca "puzzle-ul lui Wigner". Autorul concluzioneaza ca cercetarile de pana acum au avut o abordare simplista a problemei, invocand o singura tinta, anume raspunsul cauzal la o intrebare de tip 'de ce', cand de fapt avem de-a face cu o familie numeroasa de puzzle-uri asociate, care presupun metodologii diferite si tratament interdisciplinar. Lucrarea, care va continua cu un al doilea titlu, dedicat modelelor teoretice ale aplicabilitatii, se adreseaza in special – dar nu exclusiv – matematicienilor, fizicienilor, filosofilor stiintei, filosofilor limbajului si epistemologilor, dar si studentilor acestor discipline.
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The Age of Reason (Translation - Romanian Edition)
(Varsta ratiunii)

Year: 2017; Author: Thomas Paine; Translator: Razvan Alexandru Nicolescu; Language: Romanian; ISBN: 9789731991757; Pages: 248.
Description: Un clasic al filosofiei religiei si al interpretarii biblice din secolul al XVIII-lea, Thomas Paine aduce o abordare noua a studiuliui biblic al acelei vremi, trasand directii si principii care inca sunt de actualitate.
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UNDERSTANDING AND CALCULATING THE ODDS: Probability Theory Basics and Calculus Guide for Beginners, with Applications in Games of Chance and Everyday Life

Year: 2017 (revised edition); Author: Catalin Barboianu; Language: English; ISBN: 9738752019; Pages: 300.
Description: Man’s daily life is full of decisional situations. Whether we have math skills or not, we frequently estimate and compare probabilities, sometimes without realizing it, especially when making decisions. But probabilities are not just simple numbers attached objectively or subjectively to events, as they perhaps look, and their calculus and usage is highly predisposed to qualitative or quantitative errors in the absence of proper knowledge. That is why a book explaining the probability concept and its interpretations and applications for non-mathematicians is a necessity. This is an enlightening journey through the world of probability theory. Its multiple goals are to help the reader understand what probability really means, to teach the reader how to rigorously perform and apply the probability calculus, even without a solid mathematical background, and to stimulate the reader to go deeper into the notions involved.
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