Results for 'Theorematics'

19 found
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  1.  8
    Theorematics, Problematization, and Axiomatics in the Work of Deleuze and Guattari.Alex Underwood - 2024 - Substance 53 (1):101-122.
    This article explores three distinct approaches to politics identified by Deleuze and Guattari. I argue that they consistently privilege a 'problematic' approach entailing individuals and associations establishing norms on the basis of the potential they possess within a concrete situation, and that this implies resistance to both the 'theorematic' politics they associate with statist philosophy and struggles aiming to alter the 'axiomatic' determination induced by global forces of capital. While this resistance necessarily proceeds in relation to established notions of identity (...)
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  2.  10
    Umfangslogik, Inhaltslogik, Theorematic Reasoning.Gerhard Heinzmann - 1997 - In Evandro Agazzi & György Darvas (eds.), Philosophy of Mathematics Today. Kluwer Academic Publishers. pp. 353--361.
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  3.  15
    Peirce’s Notion of Diagram Experiment: Corrollarial and Theorematical Experiments With Diagrams.Frederik Stjernfelt - 2011 - In David Wagner, Wolfram Pichler, Elisabeth Nemeth & Richard Heinrich (eds.), Publications of the Austrian Ludwig Wittgenstein Society - N.S. 17. De Gruyter. pp. 305-340.
  4.  33
    How Hintikka Misunderstood Peirce's Account of Theorematic Reasoning.Kenneth Laine Ketner - 1985 - Transactions of the Charles S. Peirce Society 21 (3):407 - 418.
  5. Signs as Means for Discoveries. Peirce and His Concepts of 'Diagrammatic Reasoning,' 'Theorematic Deduction,' 'Hypostatic Abstraction,' and 'Theoric Transformation'.Michael H. G. Hoffmann - 1996 - In Das Problem der Zukunft im Rahmen holistischer Ethiken. Im Ausgang von Platon und Peirce. Edition Tertium.
    The paper aims to show how by elaborating the Peircean terms used in the title creativity in learning processes and in scientific discoveries can be explained within a semiotic framework. The essential idea is to emphasize both the role of external representations and of experimenting with those representations , and to describe a process consisting of three steps: First, looking at diagrams "from a novel point of view" offers opportunities to synthesize elements of these diagrams which have never been perceived (...)
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  6. Wittgenstein, Peirce, and Paradoxes of Mathematical Proof.Sergiy Koshkin - 2020 - Analytic Philosophy 62 (3):252-274.
    Wittgenstein's paradoxical theses that unproved propositions are meaningless, proofs form new concepts and rules, and contradictions are of limited concern, led to a variety of interpretations, most of them centered on rule-following skepticism. We argue, with the help of C. S. Peirce's distinction between corollarial and theorematic proofs, that his intuitions are better explained by resistance to what we call conceptual omniscience, treating meaning as fixed content specified in advance. We interpret the distinction in the context of modern epistemic logic (...)
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  7.  17
    Peirce’s diagrammatic reasoning and the cinema: Image, diagram, and narrative in The Shape of Water.Paul Cobley & Yunhee Lee - 2020 - Semiotica 2020 (236-237):29-46.
    This article aims to examine the relationship between image and narrative by means of Peirce’s first trichotomy of qualisign-sinsign-legisign or, for the purposes of the current argument, image-diagram-metaphor. It is argued that narrative, as an extended metaphor, can be examined in three modes: in the image; schematically, in the imagination; and allegorically or in a thought experiment, through hypothetic interpretation. The article outlines two kinds of diagrammatic reasoning emphasized by Peirce: corollarial deduction in which the image is ‘literally seen’ and (...)
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  8. The Method of Scientific Discovery in Peirce’s Philosophy: Deduction, Induction, and Abduction. [REVIEW]Cassiano Terra Rodrigues - 2011 - Logica Universalis 5 (1):127-164.
    In this paper we will show Peirce’s distinction between deduction, induction and abduction. The aim of the paper is to show how Peirce changed his views on the subject, from an understanding of deduction, induction and hypotheses as types of reasoning to understanding them as stages of inquiry very tightly connected. In order to get a better understanding of Peirce’s originality on this, we show Peirce’s distinctions between qualitative and quantitative induction and between theorematical and corollarial deduction, passing then to (...)
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  9.  92
    New Light on Peirce's Conceptions of Retroduction, Deduction, and Scientific Reasoning.Ahti-Veikko Pietarinen & Francesco Bellucci - 2014 - International Studies in the Philosophy of Science 28 (4):353-373.
    We examine Charles S. Peirce's mature views on the logic of science, especially as contained in his later and still mostly unpublished writings. We focus on two main issues. The first concerns Peirce's late conception of retroduction. Peirce conceived inquiry as performed in three stages, which correspond to three classes of inferences: abduction or retroduction, deduction, and induction. The question of the logical form of retroduction, of its logical justification, and of its methodology stands out as the three major threads (...)
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  10. Problems with Peirce's concept of abduction.Michael Hoffmann - 1999 - Foundations of Science 4 (3):271-305.
    Abductive reasoning takes place in forming``hypotheses'''' in order to explain ``facts.'''' Thus, theconcept of abduction promises an understanding ofcreativity in science and learning. It raises,however, also a lot of problems. Some of them will bediscussed in this paper. After analyzing thedifference between induction and abduction (1), Ishall discuss Peirce''s claim that there is a ``logic''''of abduction (2). The thesis is that this claim can beunderstood, if we make a clear distinction between inferential elements and perceptive elements of abductive reasoning. For (...)
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  11. Kant's syntheticity revisited by Peirce.Sun-joo Shin - 1997 - Synthese 113 (1):1-41.
    This paper reconstructs the Peircean interpretation of Kant's doctrine on the syntheticity of mathematics. Peirce correctly locates Kant's distinction in two different sources: Kant's lack of access to polyadic logic and, more interestingly, Kant's insight into the role of ingenious experiments required in theorem-proving. In this second respect, Kant's analytic/synthetic distinction is identical with the distinction Peirce discovered among types of mathematical reasoning. I contrast this Peircean theory with two other prominent views on Kant's syntheticity, i.e. the Russellian and the (...)
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  12. Completions, Constructions, and Corollaries.Thomas Mormann - 2009 - In H. Pulte, G. Hanna & H.-J. Jahnke (eds.), Explanation and Proof in Mathematics: Philosophical and Educational Perspectives. Springer.
    According to Kant, pure intuition is an indispensable ingredient of mathematical proofs. Kant‘s thesis has been considered as obsolete since the advent of modern relational logic at the end of 19th century. Against this logicist orthodoxy Cassirer’s “critical idealism” insisted that formal logic alone could not make sense of the conceptual co-evolution of mathematical and scientific concepts. For Cassirer, idealizations, or, more precisely, idealizing completions, played a fundamental role in the formation of the mathematical and empirical concepts. The aim of (...)
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  13.  93
    C. S. Peirce's "First Real Discovery" and Its Contemporary Relevance.Jaakko Hintikka - 1980 - The Monist 63 (3):304-315.
    Like Leibniz, C. S. Peirce drew much of the inspiration for his philosophical work from a close study of logical and mathematical reasoning. Now what insights did this study reveal to Peirce? His own answer is formulated as follows: “My first real discovery about mathematical procedure was that there are two kinds of necessary reasoning, which I call the Corollarial and the Theorematic.…” The import of this discovery was lost on philosophers for a long time. The purpose of the present (...)
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  14. On Peirce's methodology of logic and philosophy: Sobre a metodologia da lógica e a filosofia de Peirce.Leila Haaparanta - 2002 - Cognitio 3.
    : In his paper "Explanation of Curiosity the First" Charles Peirce describes Euclid's procedure in proving theorems. Euclid first presents his theorem in general terms and then translates it into singular terms. Peirce pays attention to the fact that the generality of the statement is not lost by that move. The next step is construction, which is followed by demonstration. Finally the ergo-sentence repeats the original general proposition. Peirce lays much emphasis on the distinction between corollarial and theorematic reasoning in (...)
     
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  15. -Compatible Transitive Extensions of System CT Logique et Analyse.Lorenzo Peña - unknown
    Da Costa's paraconsistent systems of the series Cm (for finite m) (see [C1], [C2], and esp. [C3], pp. 237ff.) share important features with transitive logic, TL (which has been gone into in [P1] and [P2]), namely, they all coincide in that: (c1) they possess a strong negation, `¬', a conditional, `⊃', a conjunction, `∧', and a disjunction, `∨', with respect to which they are conservative extensions of CL or Classical Logic; (c2) they possess a non strong negation, `N' (notations are (...)
     
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  16.  50
    C. S. Peirce's.Jaakko Hintikka - 1980 - The Monist 63 (3):304-315.
    Like Leibniz, C. S. Peirce drew much of the inspiration for his philosophical work from a close study of logical and mathematical reasoning. Now what insights did this study reveal to Peirce? His own answer is formulated as follows: “My first real discovery about mathematical procedure was that there are two kinds of necessary reasoning, which I call the Corollarial and the Theorematic.…” The import of this discovery was lost on philosophers for a long time. The purpose of the present (...)
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  17.  16
    L’;épistémologie mathématique de Gonseth dans la perspective du pragmatisme de Peirce.Gerhard Heinzmann - 1990 - Dialectica 44 (3-4):279-286.
    RésuméSelon un pragmatiste, la réflexion du philosophe porte sur le lien entre la construction et la description des objets mathématiques. Grâce à sa conception?un raisonnement dit ≫theorematique≪, Peirce a réussi à etablir ľesquisse?une interprétation pragmatique?une structure mathématique. Cette dernière reste néanmoins vague quant à la catégoricité de la structure. – lci, il est utile de recourir à Gonseth et & dcar;analyser sa reconstruction?un système axiomatique: la genèse logique?une structure selon les principes de ľidonéisme correspond en effet au programme de Peirce, (...)
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  18.  3
    Gilles Deleuze & Felix Guattari and the Rhuthmoi of Politics and Economics – Part 4.Pascal Michon - forthcoming - Rhuthmos.
    Previous chapter The Transformations of Capitalism and the Nation-State in the 20th Century Politics, Deleuze and Guattari emphasized, is based on “experimentation, groping in the dark, injection, withdrawal, advances, retreats.” It basically deals with a form of struggle similar to that existing in science between “intuitionism,” “problematic conception of science,” “working in the undecidable and the fugitive,” on the one hand, and “axiomatics,” “theorematic conception of geometry,” “reordering - Économie classique et marxiste – Nouvel article.
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  19.  20
    Peirce Sobre Analiticidade.José Renato Salatiel - 2012 - Principia: An International Journal of Epistemology 16 (3):393-415.
    In this article, I examine the reconstruction that Peirce does on analytic/synthetic Kantian division, supported by his phenomenology, semiotic and pragmatism. The analysis of Peirce’s writings on mathematic suggests a notion of a posteriori and necessary analytical truths, that is, propositions that express one belief justified in experience, but whose generalization is valid for all the possible worlds. This was a new idea the time that Peirce formulated it, in 19th Century, and it contrasts with semantic-analytical tradition from Frege and (...)
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