Results for 'the method of Socratic proofs'

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  1.  24
    The Method of Socratic Proofs for Modal Propositional Logics: K5, S4.2, S4.3, S4F, S4R, S4M and G.Dorota Leszczyńska-Jasion - 2008 - Studia Logica 89 (3):365-399.
    The aim of this paper is to present the method of Socratic proofs for seven modal propositional logics: K5, S4.2, S4.3, S4M, S4F, S4R and G. This work is an extension of [10] where the method was presented for the most common modal propositional logics: K, D, T, KB, K4, S4 and S5.
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  2.  19
    Automatic Proof Generation in an Axiomatic System for $\Mathsf{CPL}$ by Means of the Method of Socratic Proofs.Aleksandra Grzelak & Dorota Leszczyńska-Jasion - 2018 - Logic Journal of the IGPL 26 (1):109-148.
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  3. The Method of Socratic Proofs for Normal Modal Propositional Logics.Dorota Leszczynska - 2007 - Wydawn. Naukowe Uniwersytetu Im. Adama Mickiewicza.
     
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  4. The Method of Socratic Proofs for Normal Modal Propositional Logics.Dorota Leszczynska-Jasion - 2007 - Wydawn. Naukowe Uniwersytetu Im. Adama Mickiewicza.
     
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  5.  31
    From the Method of Proofs and Refutations to the Methodology of Scientific Research Programmes.Gábor Forrai - 1993 - International Studies in the Philosophy of Science 7 (2):161-175.
    Abstract The paper is an attempt to interpret Imre Lakatos's methodology of scientific research programmes (MSRP) on the basis of his mathematical methodology, the method of proofs and refutations (MPR). After sketching MSRP and MPR and analysing their relationship to Popper's and Poly a's work, I argue that MSRP was originally conceived as a methodology in the same sense as MPR. The most conspicuous difference between the two, namely that MSRP is fundamentally backward?looking, whereas MPR is primarily forward?looking, (...)
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  6.  38
    The Contribution of Socratic Method and Plato’s Theory of Truth to Plato Scholarship.Hugh Benson - 2003 - Review of Metaphysics 56 (3):656-658.
    In the first chapter of The Contribution of Socratic Method and Plato’s Theory of Truth to Plato Scholarship, Rod Jenks argues that since Socrates and Plato take the Socratic elenchus to establish truths and the Socratic elenchus can only establish consistency, Socrates and Plato must be committed to a coherence theory of truth. Jenks denies any explicit recognition of such a commitment in Plato’s early dialogues. The claim is rather that “early Socratic practice as recorded (...)
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  7.  37
    A Loop-Free Decision Procedure for Modal Propositional Logics K4, S4 and S.Dorota Leszczyńska-Jasion - 2009 - Journal of Philosophical Logic 38 (2):151 - 177.
    The aim of this paper is to present a loop-free decision procedure for modal propositional logics K4, S4 and S5. We prove that the procedure terminates and that it is sound and complete. The procedure is based on the method of Socratic proofs for modal logics, which is grounded in the logic of questions IEL.
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  8.  17
    Some Thoughts on the Socratic Use of Iliad X 224 in Plato's Protagoras and Symposium : A Dialogical Context Previous to the Dialectic Method?Pedro Proscurcin Junior - 2018 - Maia - Rivista di Letterature Classiche (2):220-241.
    The aim of this paper is to understand some meaningful aspects of the Socratic use of Iliad x 224 in Plato’s Protagoras and Symposium. In these dialogues the Homeric reference appears in different contexts, but Plato’s Socrates applies it in the same way and seems to indicate it as a relevant step for the implementation of the dialectic method. Socrates is not only provoking his interlocutor, but rather making a comparison between the dialogue’s scene and the context involving (...)
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  9.  8
    On the Old Saw That Dialogue Is a Socratic But Not an Aristotelian Method of Moral Education.Kristján Kristjánsson - 2014 - Educational Theory 64 (4):333-348.
    Kristján Kristjánsson's aim in this article is to bury the old saw that dialogue is exclusively a Socratic but not an Aristotelian method of education for moral character. Although the truncated discussion in Aristotle's Nicomachean Ethics of the character development of the young may indicate that it is merely the result of a mindless process of behavioral conditioning, Nancy Sherman has argued convincingly that such a process would never yield the end result that Aristotle deems all-important — a (...)
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  10.  35
    Intuition and the Socratic Method: Two Opposed Ways of Knowing?Anthony G. Rud - 1994 - Studies in Philosophy and Education 13 (1):65-75.
    Socratic method and intuition are two ways of knowing commonly thought as opposed. The author shows how both ways of knowing can be linked in an education that has philosophy as its armature.
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  11.  20
    Limitations on the Fraenkel-Mostowski Method of Independence Proofs.Paul E. Howard - 1973 - Journal of Symbolic Logic 38 (3):416-422.
    The Fraenkel-Mostowski method has been widely used to prove independence results among weak versions of the axiom of choice. In this paper it is shown that certain statements cannot be proved by this method. More specifically it is shown that in all Fraenkel-Mostowski models the following hold: 1. The axiom of choice for sets of finite sets implies the axiom of choice for sets of well-orderable sets. 2. The Boolean prime ideal theorem implies a weakened form of Sikorski's (...)
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  12.  27
    An Adaptation of the Socratic Method.Daniel Regan - 1973 - Proceedings and Addresses of the American Philosophical Association 47:87.
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  13.  8
    The Meanings of the 'Socratic Method' to the Moral Education as the Philosophical Inquiry.Jae-Joo Park - 2009 - The Journal of Moral Education 20 (2):281.
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  14.  6
    Azriel Lévy. The Fraenkel-Moslowski Method for Independence Proofs in Set Theory. The Theory of Models, Proceedings of the 1963 International Symposium at Berkeley, Edited by J. W. Addison, Leon Henkin, and Alfred Tarski, Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Company, Amsterdam 1965, Pp. 221–228. - Paul E. Howard. Limitations on the Fraenkel-Mostowski Method of Independence Proofs. The Journal of Symbolic Logic, Vol. 38 , Pp. 416–422. [REVIEW]David Pincus - 1975 - Journal of Symbolic Logic 40 (4):631.
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  15.  17
    Rabin Michael O.. A Simple Method for Undecidability Proofs and Some Applications. Logic, Methodology and Philosophy of Science, Proceedings of the 1964 International Congress, Edited by Bar-Hillel Yehoshua, Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Company, Amsterdam 1965, Pp. 38–68. [REVIEW]William Hanf - 1971 - Journal of Symbolic Logic 36 (1):150.
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  16.  14
    The Republic in the Light of the Socratic Method.Henry G. Wolz - 1955 - Modern Schoolman 32 (2):115-142.
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  17. The Socratic Method of Kierkegaard’s Pseudonym Johannes Climacus: Indirect Communication and the Art of ‘Taking Away’.Paul Muench - 2003 - In Poul Houe & Gordon D. Marino (eds.), Søren Kierkegaard and the Word(s). Reitzel.
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  18.  27
    Reviews. Alfred Tarski. Preface. Undecidable Theories, Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Company, Amsterdam 1953, Pp. VIII–IX. Alfred Tarski. A General Method in Proofs of Undecidability. Undecidable Theories, Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Company, Amsterdam 1953, Pp. 3–35. Andrzej Mostowski, Raphael M. Robinson, and Alfred Tarski. Undecidability and Essential Undecidability in Arithmetic. Undecidable Theories, Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Company, Amsterdam 1953, Pp. 39–74. Alfred Tarski. Undecidability of the Elementary Theory of Groups. Undecidable Theories, Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Company, Amsterdam 1953, Pp. 77–87. Bibliography. Undecidable Theories, Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Company, Amsterdam 1953, Pp. 89–91. Index. Undecidable Theories. [REVIEW]Martin Davis - 1959 - Journal of Symbolic Logic 24 (2):167-169.
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  19.  10
    Bouvère Karel Louis De. A Method in Proofs of Undefinability, with Applications to Functions in the Arithmetic of Natural Numbers. Dissertation Amsterdam 1959. North-Holland Publishing Company, Amsterdam 1959, XV + 64 Pp.Bouvère Karel Louis De. Stellingen. Leaflet Distributed with the Foregoing, 4 Pp. Unnumbered. [REVIEW]Gert H. Müller - 1960 - Journal of Symbolic Logic 25 (3):271-273.
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  20.  12
    Review: Karel Louis de Bouvere, A Method in Proofs of Undefinability, with Applications to Functions in the Arithmetic of Natural Numbers. [REVIEW]Gert H. Müller - 1960 - Journal of Symbolic Logic 25 (3):271-273.
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  21. The Contribution of Socratic Method and Plato’s Theory of Truth to Plato Scholarship.Rod Jenks - 2001
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  22.  24
    P. C. Gilmore. A Program for the Production From Axioms, of Proofs for Theorems Derivable Within the First Order Predicate Calculus. English, with English, French, German, Russian, and Spanish Summaries. Information Processing, Proceedings of the International Conference on Information Processing, Unesco, Paris 15–20 June 1959, Unesco, Paris, R. Oldenbourg, Munich, Butterworths, London, 1960, Pp. 265–273. - J. Porte, P. C. Gilmore, Dag H. Prawitz, Håkon Prawitz, and Neri Voghera. Discussion. Information Processing, Proceedings of the International Conference on Information Processing, Unesco, Paris 15–20 June 1959, Unesco, Paris, R. Oldenbourg, Munich, Butterworths, London, 1960, P. 273. - P. C. Gilmore. A Proof Method for Quantification Theory: Its Justification and Realization. IBM Journal of Research and Development, Vol. 4 , Pp. 28–35. [REVIEW]J. A. Robinson - 1996 - Journal of Symbolic Logic 31 (1):124-125.
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  23. Socratic Method and the Theory of Knowledge.M. Chisholm Riderick - 1979 - In . Felix Meiner. pp. 37-54.
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  24. The "Republic" in the Light of the Socratic Method.Henry C. Wolz - 1954 - Modern Schoolman 32:115.
     
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  25.  67
    Socratic Method and Aristotle's Definition of the Good.Sarah H. Brown - 1933 - International Journal of Ethics 43 (3):329-338.
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  26.  2
    Reintegration of Myth in the Socratic Method in Advance.A. Stephan Rick, M. Alhassoon Omar & Torre-Bueno Ava - forthcoming - International Journal of Applied Philosophy.
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  27.  29
    Tidying the Socratic Mess of a Method.Debra Nails - 1997 - Southwest Philosophy Review 13 (2):1-14.
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  28.  40
    The Socratic Method: Plato's Use of Philosophical Drama. By Rebecca Bensen Cain.Robin Waterfield - 2010 - Heythrop Journal 51 (1):97-98.
  29. Rebecca Bensen Cain, The Socratic Method: Plato's Use of Philosophical Drama. [REVIEW]Gerald Press - 2008 - Philosophy in Review 28 (5):322-324.
     
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  30.  22
    Why Plato Lost Interest in the Socratic Method.Gareth Matthews - 2018 - Oxford Studies in Ancient Philosophy 54.
    The Socratic elenchus is a method of philosophical analysis which Plato largely dropped in his middle and later writings, with two exceptions, Republic 1 and the Theaetetus. But it is a mistake to describe these as elenctic dialogues, which typically seek an analysis of a virtue in terms of necessary and sufficient conditions, by questioning some alleged expert about its essence. Republic 1 does not follow this pattern: Thrasymachus fundamentally objects to such a procedure and the presuppositions underlying (...)
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  31.  23
    The Socratic Method in Teaching Medical Ethics: Potentials and Limitations.Dieter Birnbache - 1999 - Medicine, Health Care and Philosophy 2 (3):219-224.
    The Socratic method has a long history in teaching philosophy and mathematics, marked by such names as Karl Weierstra, Leonard Nelson and Gustav Heckmann. Its basic idea is to encourage the participants of a learning group (of pupils, students, or practitioners) to work on a conceptual, ethical or psychological problem by their own collective intellectual effort, without a textual basis and without substantial help from the teacher whose part it is mainly to enforce the rigid procedural rules designed (...)
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  32.  6
    The Role and Limits of Dialectical Method in Aristotelian Natural Science.Ömer Aygün - 2017 - Epoché: A Journal for the History of Philosophy 21 (2):427-451.
    In this paper, we offer an overview of Aristotle’s account for his belief that honeybees reproduce without copulation. Following this, we draw the three following implications: First, that Aristotle’s position on this question is quite unconventional, and undercuts many traditional and “Aristotelian” hierarchies; secondly, that the method that requires him to hold this unconventional position is largely dialectical; and finally, that the lineage behind this method is Socratic. In this sense, Aristotle’s biological work may be seen as (...)
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  33.  84
    Review of Hintikka and Remes. The Method of Analysis (Reidel, 1974).John Corcoran - 1979 - MATHEMATICAL REVIEWS 58:3202-3.
    John Corcoran. 1979 Review of Hintikka and Remes. The Method of Analysis (Reidel, 1974). Mathematical Reviews 58 3202 #21388. -/- The “method of analysis” is a technique used by ancient Greek mathematicians (and perhaps by Descartes, Newton, and others) in connection with discovery of proofs of difficult theorems and in connection with discovery of constructions of elusive geometric figures. Although this method was originally applied in geometry, its later application to number played an important role in (...)
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  34.  9
    Bioethics Education in Clinical Settings: Theory and Practice of the Dilemma Method of Moral Case Deliberation.Margreet Stolper, Bert Molewijk & Guy Widdershoven - 2016 - BMC Medical Ethics 17 (1):45.
    BackgroundMoral Case Deliberation is a specific form of bioethics education fostering professionals’ moral competence in order to deal with their moral questions. So far, few studies focus in detail on Moral Case Deliberation methodologies and their didactic principles. The dilemma method is a structured and frequently used method in Moral Case Deliberation that stimulates methodological reflection and reasoning through a systematic dialogue on an ethical issue experienced in practice.MethodsIn this paper we present a case-study of a Moral Case (...)
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  35.  81
    The Practice of Finitism: Epsilon Calculus and Consistency Proofs in Hilbert's Program.Richard Zach - 2003 - Synthese 137 (1-2):211 - 259.
    After a brief flirtation with logicism around 1917, David Hilbertproposed his own program in the foundations of mathematics in 1920 and developed it, in concert with collaborators such as Paul Bernays andWilhelm Ackermann, throughout the 1920s. The two technical pillars of the project were the development of axiomatic systems for everstronger and more comprehensive areas of mathematics, and finitisticproofs of consistency of these systems. Early advances in these areaswere made by Hilbert (and Bernays) in a series of lecture courses atthe (...)
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  36. Socratic Wisdom: The Model of Knowledge in Plato’s Early Dialogues.Hugh H. Benson - 1999 - Oxford University Press.
    While the early Platonic dialogues have often been explored and appreciated for their ethical content, this is the first book devoted solely to the epistemology of Plato's early dialogues. Author Hugh H. Benson argues that the characteristic features of these dialogues- -Socrates' method of questions and answers, his fascination with definition, his professions of ignorance, and his thesis that virtue is knowledge- -are decidedly epistemological. In this thoughtful study, Benson uncovers the model of knowledge that underlies these distinctively (...) views. What emerges is unfamiliar, yet closer to a contemporary conception of scientific understanding than ordinary knowledge. (shrink)
  37. The Play of Socratic Dialogue.Richard Smith - 2011 - Philosophy of Education 45 (2):221-233.
    Proponents of philosophy for children generally see themselves as heirs to the ‘Socratic’ tradition. They often claim too that children's aptitude for play leads them naturally to play with abstract, philosophical ideas. However in Plato's dialogues we find in the mouth of ‘Socrates’ many warnings against philosophising with the young. Those dialogues also question whether philosophy should be playful in any straightforward way, casting the distinction between play and seriousness as unstable. It seems we cannot think of Plato as (...)
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  38. Eliminating the Ordinals From Proofs. An Analysis of Transfinite Recursion.Edoardo Rivello - 2014 - In Proceedings of the conference "Philosophy, Mathematics, Linguistics. Aspects of Interaction", St. Petersburg, April 21-25, 2014. pp. 174-184.
    Transfinite ordinal numbers enter mathematical practice mainly via the method of definition by transfinite recursion. Outside of axiomatic set theory, there is a significant mathematical tradition in works recasting proofs by transfinite recursion in other terms, mostly with the intention of eliminating the ordinals from the proofs. Leaving aside the different motivations which lead each specific case, we investigate the mathematics of this action of proof transforming and we address the problem of formalising the philosophical notion of (...)
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  39.  26
    Statements of Method and Teaching: The Case of Socrates.Sophie Haroutunian-Gordon - 1990 - Studies in Philosophy and Education 10 (2):139-156.
  40.  31
    Report From a Socratic Dialogue on the Concept of Risk.Erik Persson - 2005 - In Kristina Blennow (ed.), Uncertainty and Active Risk management in Agriculture and Forestry. Alnarp, Sweden: SLU. pp. 35-39.
    The term ’risk’ is used in a wide range of situations, but there is no real consensus of what it means. ‘Risk ‘is often stipulatively defined as “a probability for the occurrence of a negative event” or something similar. This formulation is however not very informative, and it fails to capture many of our intuitions about the concept or risk. One way of trying to find a common definition of a term within a group is to use a Socratic (...)
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  41. The Euclidean Mousetrap: Schopenhauer’s Criticism of the Synthetic Method in Geometry.Jason M. Costanzo - 2008 - Idealistic Studies 38 (3):209-220.
    In his doctoral dissertation On the Principle of Sufficient Reason, Arthur Schopenhauer there outlines a critique of Euclidean geometry on the basis of the changing nature of mathematics, and hence of demonstration, as a result of Kantian idealism. According to Schopenhauer, Euclid treats geometry synthetically, proceeding from the simple to the complex, from the known to the unknown, “synthesizing” later proofs on the basis of earlier ones. Such a method, although proving the case logically, nevertheless fails to attain (...)
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  42.  2
    On the Number of Steps in Proofs.Jan Kraj\mIček - 1989 - Annals of Pure and Applied Logic 41 (2):153-178.
    In this paper we prove some results about the complexity of proofs. We consider proofs in Hilbert-style formal systems such as in [17]. Thus a proof is a sequence offormulas satisfying certain conditions. We can view the formulas as being strings of symbols; hence the whole proof is a string too. We consider the following measures of complexity of proofs: length , depth and number of steps For a particular formal system and a given formula A we (...)
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  43. Socratic Introspection and the Abundance of Experience.Charles Siewert - 2011 - Journal of Consciousness Studies 18 (1):63-91.
    I examine the prospects of using Hurlburt's DES method to justify his very 'thin'view of experience, on which visual experience is so infrequent as to be typically absent when reading and speaking. Such justification would seem to be based on the claim that, in DES 'beeper' samples, subjects often deny they just had any visual experi-ence. But if the question of 'visual experience' is properly construed, then it is doubtful they are deny-ing this. And even if they were, that (...)
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  44. The Structure of Socratic Dialogue: An Aristotelian Analysis.Robert Laurence Gallagher - 1998 - Dissertation, The Ohio State University
    This dissertation advances a solution to a problem intrinsic to understanding the dialogues of Plato. How are we to understand Plato's thought when he never speaks in his own name in any of his dialogues? Many writers assume that Plato's characters speak for him. With this assumption, they study the thought articulated by Plato's characters as if it were his own, and elaborate a so-called "doctrinal" interpretation. A variety of subjective readings follows, since what Socrates and other characters say in (...)
     
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  45. Logocratic Method and the Analysis of Arguments in Evidence.Scott Brewer - unknown
    Legal analysis is dominated by legal arguments, and the assessment of any legal claim requires the assessment of the strengths and weaknesses of those arguments. The ‘logocratic’ method is a systematic method for assessing the strengths and weaknesses of arguments. More specifically, it is a method designed to help the analyst determine what degree of warrant the premises of an argument provide for its conclusion. Although the method is applicable to any type of argument, this essay (...)
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  46.  48
    A Simple and General Method of Solving the Finite Axiomatizability Problems for Lambek's Syntactic Calculi.Wojciech Zielonka - 1989 - Studia Logica 48 (1):35 - 39.
    In [4], I proved that the product-free fragment L of Lambek's syntactic calculus (cf. Lambek [2]) is not finitely axiomatizable if the only rule of inference admitted is Lambek's cut-rule. The proof (which is rather complicated and roundabout) was subsequently adapted by Kandulski [1] to the non-associative variant NL of L (cf. Lambek [3]). It turns out, however, that there exists an extremely simple method of non-finite-axiomatizability proofs which works uniformly for different subsystems of L (in particular, for (...)
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  47.  25
    The Unexamined Student is Not Worth Teaching: Preparation, the Zone of Proximal Development, and the Socratic Model of Scaffolded Learning.Robert Colter & Joseph Ulatowski - 2017 - Educational Philosophy and Theory 49 (14):1367-1380.
    ‘Scaffolded learning’ describes a cluster of instructional techniques designed to move students from a novice position toward greater understanding, such that they become independent learners. Our Socratic Model of Scaffolded Learning includes two phases not normally included in discussions of scaffolded learning, the preparatory and problematizing phases. Our article will illuminate this blind spot by arguing that these crucial preliminary elements ought to be considered an integral part of a scaffolding model. If instructors are cognizant of the starting position (...)
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  48. Socratic Wisdom: The Model of Knowledge in Plato’s Early Dialogues.Hugh H. Benson - 1999 - Oxford University Press USA.
    While the early Platonic dialogues have often been explored and appreciated for their ethical content, this is the first book devoted solely to the epistemology of Plato's early dialogues. Author Hugh H. Benson argues that the characteristic features of these dialogues--Socrates' method of questions and answers, his fascination with definition, his professions of ignorance, and his thesis that virtue is knowledge--are decidedly epistemological. In this thoughtful study, Benson uncovers the model of knowledge that underlies these distinctively Socratic views. (...)
     
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  49. The Socratic Method (or, Having a Right to Get Stoned).Peter Boghossian - 2002 - Teaching Philosophy 25 (4):345-359.
    This paper argues that without the appropriate educational and organizational context, Socratic pedagogy can undermine a teacher’s leadership and negatively impact classroom dynamics by exposing a teacher’s lack of knowledge. In arguing for this position, the paper articulates the nature of the Socratic method, clarifies the notion of “power” and “leadership,” and then discusses traditional power roles in the classroom. These traditional power roles are strongly contrasted against the notion of power in the Socratic method, (...)
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  50.  30
    The Socratic Method, Defeasibility, and Doxastic Responsibility.Peter Boghossian & James Lindsay - 2018 - Educational Philosophy and Theory 50 (3):244-253.
    There is an extensive body of philosophical, educational, and popular literature explaining Socratic pedagogy’s epistemological and educational ambitions. However, there is virtually no literature clarifying the relationship between Socratic method and doxastic responsibility. This article fills that gap in the literature by arguing that the Socratic method models many of the features of an ideally doxastically responsible agent. It ties a robust notion of doxastic responsibility to the Socratic method by showing how using (...)
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