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    Wyświetlanie 1-3 z 3
    Tytuł:
    „System analityczny” Platona w relacji krytycznej Arystotelesa
    Plato’s “Analytic System” in Aristotle’s Critical Account
    Autorzy:
    Wesoły, Marian
    Powiązania:
    https://bibliotekanauki.pl/articles/2013144.pdf
    Data publikacji:
    2008
    Wydawca:
    Katolicki Uniwersytet Lubelski Jana Pawła II. Towarzystwo Naukowe KUL
    Tematy:
    Platon
    Arystoteles
    agrapha dogmata
    analysis
    Plato
    Aristotle
    Opis:
    Ancient Platonists and Aristotelians considered the heuristic method of reasoning to first principles as “analysis.” It was derived from Greek geometrical practice. Plato’s theory of first principles, as we reconstruct it following Aristotle, postulated such an “analytic system.” In this system both sensible things and mathematical objects, ideas and eidetic numbers are gradually reduced to the same principles (ἕν – μέγα – μικρόν). In the reversal order, from the principles are genetically elicited eidetic numbers and through them numbers, mathematical objects, and sensible things. This is a great analytical system that in fact has a mathematical structure. It transcends the physical explanation of the Timaios and is a broad translation of the nature of things. Our considerations concern a reconstruction and debatable issues, and they follow the following topics: 1. Testimonia Platonica, 2. Analytic theory of principles and agrapha dogmata, 3. Contextual problem and the field of agrapha dogmata, 4. The construction of a system: a procedure from and toward the principles, 5. The alleged paradox: “Good – One.” Ethics or mathematics? 6. Written and unwritten dogmata: dialogue or system?
    Źródło:
    Roczniki Filozoficzne; 2008, 56, 2; 299-320
    0035-7685
    Pojawia się w:
    Roczniki Filozoficzne
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    ΑΝΑΛΥΣΙΣ ΠΕΡΙ ΤΑ ΣΧΗΜΑΤΑ Restoring Aristotle’s Lost Diagrams of the Syllogistic Figures
    Autorzy:
    Wesoły, Marian
    Powiązania:
    https://bibliotekanauki.pl/articles/633507.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet im. Adama Mickiewicza w Poznaniu
    Tematy:
    Aristotle
    analysis
    analytics
    syllogistic figures
    diagrammatic notation
    Opis:
    The article examines the relevance of Aristotle’s analysis that concerns the syllogistic figures. On the assumption that Aristotle’s analytics was inspired by the method of geometric analysis, we show how Aristotle used the three terms (letters), when he formulated the three syllogistic figures. So far it has not been appropriately recognized that the three terms - the major, the middle and the minor one - were viewed by Aristotle syntactically and predicatively in the form of diagrams. Many scholars have misunderstood Aristotle in that in the second and third figure the middle term is outside and that in the second figure the major term is next to the middle one, whereas in the third figure it is further from it. By means of diagrams, we have elucidated how this perfectly accords with Aristotle's planar and graphic arrangement. In the light of these diagrams, one can appropriately capture the definition of syllogism as a predicative set of terms. Irrespective of the tricky question concerning the abbreviations that Aristotle himself used with reference to these types of predication, the reconstructed figures allow us better to comprehend the reductions of syllogism to the first figure. We assume that the figures of syllogism are analogous to the figures of categorical predication, i.e., they are specific syntactic and semantic models. Aristotle demanded certain logical and methodological competence within analytics, which reflects his great commitment and contribution to the field.
    Źródło:
    Peitho. Examina Antiqua; 2012, 3, 1; 83-114
    2082-7539
    Pojawia się w:
    Peitho. Examina Antiqua
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Analytical Perspective of Aristotle’s Categorical and Modal Syllogisms
    Autorzy:
    Wesoły, Marian Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/633434.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet im. Adama Mickiewicza w Poznaniu
    Tematy:
    Aristotle
    analysis
    analytics
    syllogistic figures
    categorical and modal syllogisms
    diagrammatic notation
    Opis:
    What is meant under the genuine title of Aristotle’s ta Analytika is rarely properly understood. Presumably, his analytics was inspired by the method of geometric analysis. For Aristotle, this was a regressive or heuristic procedure, departing from a proposed conclusion (or problem) and asking which premises could be found in order to syllogize, demonstrate or explain it. The terms that form categorical and modal propositions play a fundamental role in analytics. Aristotle introduces letters in lieu of the triples of terms (major – middle – minor) constituting the propositions and the three syllogistic figures that schematize them. His formulation of the three syllogistic figures refers to a syntactical and predicative order and position of the triples of terms, arranged in some diagrammed schemata, which, regrettably, are missing from the extant text of the Prior Analytics. Considering planar and graphic arrangements, both vertical and horizontal orders as well as the position of the three terms involved, we propose a reconstruction, at least to some extent, of these probable lettered diagrams. In such reconstructed diagrams, we can appropriately capture the definition of syllogism as a predicative connexion of terms, and easier survey a synoptic account of all valid predicative relations and transpositions, and also reduce the imperfect syllogisms into the moods of the first figure. Aristotle’s syllogistic is an analytical calculation of terms, understood as predicates and subjects within the categorical propositions, and more precisely of three terms schematized in three figures in predicative links such that, by means of a middle, follows from necessity a conclusion of the extreme terms. The necessity of the consequence is not based on the implication or inference of the propositions, but on a predictive transitivity through the middle term within the syllogistic figures. Syllogism must draw its conclusion through the way its terms are predicated of one another. Aristotle in his Prior Analytics (I 3, 8–22) developed also a complex account of modal syllogisms within necessity and possibility of belonging (predicating). This account involves also such an analytical reduction to the syllogistic figures. In this analytical perspective, we try to throw some light on his modal syllogisms, although this difficult and nowadays thoroughly discussed topic would require a much wider treatment.
    Źródło:
    Peitho. Examina Antiqua; 2018, 9, 1; 71-99
    2082-7539
    Pojawia się w:
    Peitho. Examina Antiqua
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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