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Fabio Acerbi [17]F. Acerbi [6]Francesco Acerbi [1]
  1.  14
    Mathematical Generality, Letter-Labels, and All That.F. Acerbi - 2020 - Phronesis 65 (1):27-75.
    This article focusses on the generality of the entities involved in a geometric proof of the kind found in ancient Greek treatises: it shows that the standard modern translation of Greek mathematical propositions falsifies crucial syntactical elements, and employs an incorrect conception of the denotative letters in a Greek geometric proof; epigraphic evidence is adduced to show that these denotative letters are ‘letter-labels’. On this basis, the article explores the consequences of seeing that a Greek mathematical proposition is fully general, (...)
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  2. Euclid’s Pseudaria.Fabio Acerbi - 2008 - Archive for History of Exact Sciences 62 (5):511-551.
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  3. The Language of the “Givens”: Its Forms and its Use as a Deductive Tool in Greek Mathematics.Fabio Acerbi - 2011 - Archive for History of Exact Sciences 65 (2):119-153.
    The aim of this article is to present and discuss the language of the «givens», a typical stylistic resource of Greek mathematics and one of the major features of the proof format of analysis and synthesis. I shall analyze its expressive function and its peculiarities, as well as its general role as a deductive tool, explaining at the same time its particular applications in subgenres of a geometrical proposition like the locus theorems and the so-called «porisms». The main interpretative theses (...)
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  4. Drowning by Multiples: Remarks on the Fifth Book of Euclid's Elements, with Special Emphasis on Prop.8.F. Acerbi - 2003 - Archive for History of Exact Sciences 57 (3):175-242.
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  5.  28
    Aristotle and Euclid's Postulates.Fabio Acerbi - 2013 - Classical Quarterly 63 (2):680-685.
    Book 1 of Euclid's Elements opens with a set of unproved assumptions: definitions , postulates, and ‘common notions’ . The common notions are general rules validating deductions that involve the relations of equality and congruence. The attested postulates are five in number, even if a part of the manuscript tradition adds a sixth, almost surely spurious , that in some manuscripts features as the ninth, and last, common notion. The postulates are called αἰτήματα both in the manuscripts of the Elements (...)
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  6.  16
    Homeomeric Lines in Greek Mathematics.Fabio Acerbi - 2010 - Science in Context 23 (1):1-37.
  7.  49
    In What Proof Would a Geometer Use the [Pi][Omicron][Delta][Iota][Alpha] [Iota][Alpha]?Fabio Acerbi - 2008 - Classical Quarterly 58 (1).
  8.  1
    On the Shoulders of Hipparchus.F. Acerbi - 2003 - Archive for History of Exact Sciences 57 (6):465-502.
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  9. Tafelanhang.Nicholas Melvani, Anna Gioffreda, Daniele Bianconi & Fabio Acerbi - 2021 - Byzantinische Zeitschrift 114 (3):1447-1470.
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  10. Characteristics of Patients Returning to Work After Brain Tumor Surgery.Silvia Schiavolin, Arianna Mariniello, Morgan Broggi, Francesco Acerbi, Marco Schiariti, Angelo Franzini, Francesco Di Meco, Paolo Ferroli & Matilde Leonardi - 2021 - Frontiers in Human Neuroscience 14.
    Objective: To investigate the differences between patients returning to work and those who did not after brain tumor surgery.Methods: Patients were evaluated before surgery and after 3 months. The Montreal Cognitive Assessment test, Trail-Making Test, 15-word Rey–Osterrieth Word List, F-A-S tests, and Karnosfky Performance Status were used to assess cognitive status, attention, executive functions, memory, word fluency, and functional status. Patient-reported outcome measures used to evaluate emotional distress and disability were the Hospital Anxiety and Depression Scale and World Health Organization (...)
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  11.  27
    Two Approaches to Foundations in Greek Mathematics: Apollonius and Geminus.Fabio Acerbi - 2010 - Science in Context 23 (2):151-186.
  12.  21
    Aristotle on Placing Gnomons Round.Monica Ugaglia & Fabio Acerbi - 2015 - Classical Quarterly 65 (2):587-608.
    The passage has been an object of scholarly debate: the lack of independent sources on the mathematical construction described by Aristotle, the terseness of the formulation and the resulting syntactical ambiguities make the exact interpretation of the text quite difficult, as already noted by Philoponus. What does it mean that the gnomons are ‘placed round the one and without’ (περὶ τὸ ἓν καὶ χωρίς)? And in what sense is this an indication of the even being ‘cut off, enclosed (ἐναπολαμβανόμενον), and (...)
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  13.  19
    Michael N. Fried;, Sabetai Unguru. Apollonius of Perga's Conica: Text, Context, Subtext. Xii + 499 Pp., Illus., Bibl., Index. Leiden: Brill, 2001. $122. [REVIEW]Fabio Acerbi - 2009 - Isis 100 (3):646-647.
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  14.  15
    In What Proof Would a Geometer Use the" Πoδiaia"?Fabio Acerbi - 2008 - Classical Quarterly 58 (1).
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  15.  7
    There is No Consequentia Mirabilis in Greek Mathematics.F. Acerbi - 2019 - Archive for History of Exact Sciences 73 (3):217-242.
    The paper shows that, contrary to what has been held since the sixteenth-century mathematician Christoph Clavius, there is no application of consequentia mirabilis in Greek mathematical works. This is shown by means of a detailed discussion of the logical structure of the proofs where CM is allegedly employed. The point is further enlarged to a critical assessment of the unsound methodology applied by many interpreters in seeking for specific logical rules at work in ancient mathematical texts.
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  16.  1
    Plato: Parmenides 149a7-C3. A Proof by Complete Induction?F. Acerbi - 2000 - Archive for History of Exact Sciences 55 (1):57-76.
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  17. Transitivity Cannot Explain Perfect Syllogisms.Fabio Acerbi - 2009 - Rhizai. A Journal for Ancient Philosophy and Science 11:23-42.
    Aristotle claims that the necessity of the syllogisms in the first figure is evident, and calls them ‘perfect’ on this basis. The perfection of such syllogisms, most notably barbara, appears to be correlated with the actual disposition of the middle term. G. Patzig strengthened the correlation to an explanation, claiming that in virtue of that disposition the transitivity of the relation ‘belongs to all’ between the terms becomes manifest. The present article shows that the modern scheme of transitivity, namely, with (...)
     
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  18.  2
    Manuele Crisolora a Costantinopoli.Anna Gioffreda, Daniele Bianconi & Fabio Acerbi - 2021 - Byzantinische Zeitschrift 114 (3):859-928.
    The identification of a “new” handwriting of Manuel Chrysoloras allows to assign to him a number of hitherto unpublished witnesses, all preceding his teaching activity in Florence from 1397. This new dossier illustrates Chrysoloras’ youth in Constantinople, providing precious and so far unknown information on his family, his father John, his studies in the anti-Palamite milieux with Isaac Argyros and Demetrios Kydones, and, of course, his books, his graphic education, and his readings. Among these, a special place is occupied by (...)
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  19.  6
    Aristotle on Placing Gnomons Round : An Addendum.Monica Ugaglia & Fabio Acerbi - 2015 - Classical Quarterly 65 (2):608-608.
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  20.  2
    The Geometry of Burning Mirrors in Greek Antiquity. Analysis, Heuristic, Projections, Lemmatic Fragmentation.Fabio Acerbi - 2011 - Archive for History of Exact Sciences 65 (5):471-497.
    The article analyzes in detail the assumptions and the proofs typical of the research field of the geometry of burning mirrors. It emphasizes the role of two propositions of the Archimedean Quadratura parabolae, never brought to bear on this subject, and of a complex system of projections reducing a sumptōma of a parabola to some specific linear lemmas. On the grounds of this case-study, the much-debated problem of the heuristic role of analysis is also discussed.
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  21.  1
    A Reference to Perfect Numbers in Plato’s Theaetetus.F. Acerbi - 2005 - Archive for History of Exact Sciences 59 (4):319-348.
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  22.  1
    The Meaning of Πλασμαтιкόν in Diophantus’ Arithmetica.Fabio Acerbi - 2009 - Archive for History of Exact Sciences 63 (1):5-31.
    Three problems in book I of Diophantus’ Arithmetica contain the adjective plasmatikon, that appears to qualify an implicit reference to some theorems in Elements, book II. The translation and meaning of the adjective sparked a long-lasting controversy that has become a nonnegligible aspect of the debate about the possibility of interpreting Diophantus’ approach and, more generally, Greek mathematics in algebraic terms. The correct interpretation of the word, a technical term in the Greek rhetorical tradition that perfectly fits the context in (...)
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