To Peirce Hintikka's Thoughts

2009

What is the logical background of pragmatism? The answer I want to suggest in this paper is that pragmatism is supported by some mathematical and logical ideas that provide a logical background for it. That is to say, they may be used to back up pragmatism’s claim to give us a viable account of thought and knowledge acquisition that describes some of the crucial relations by which knowledge acquisition and action are guided. I will start by giving a short account of why some mathematical and logical ideas coming from the logic of relations, order theory in particular, might be helpful for pragmatism’s view of knowledge and praxis. That is, I claim that they support, clarify and strengthen some of the claims made by the pragmatic maxim. In a second step I describe why these logical concepts and rules of reasoning acquire a normative meaning when they become part of pragmatism‘s semiotic, methodology and epistemology. In particular, the normative role of a semiotic concept of the iden...

Peirce‘s conception of logic and pragmaticism is virtually that of Hintikka‘s game-theoretical semantics (GTS), including the idea of players "feigned in our make believe". Peirce was interested in logic as a theory of normative, conventional, habitual and strategic action. Later Grice erected his theory of conversation on Peircean background. But cooperation is a property of model-building games and an integral part of Peirce‘s method. Cooperative model-building resorts to the same theoretical construct as the strictly competitive semantic games do. The two kinds of games, the semantic and the model-construction games, are two sides of the same conceptual coin. General principles governing mathematical practices are related to model-building activities.

2016

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 geometry. He takes an argument to be corollarial if no auxiliary construction is needed. For Peirce, construction is “the principal theoric step ” of the demonstration. Peirce also stresses that it is the observation of diagrams that is essential to all reasoning and that even if no auxiliary constructions are made, there is always the step from a general to a singular statement in deductive reasoning; that means introducing a kind of diagram to reasoning. This paper seeks to argue for two theses. One is that the way of ...

"[...] a "must-have" for both the Peircean scholar and any other philosopher who wishes to relate Peirce's thinking on language and logic to other major thinkers and logical themes of the twentieth century (and beyond)." Robert W. Burch, Texas A&M University, USA, in 'Project Muse - Scholarly Journals Online' "Ahti-Veikko Pietarinen’s Signs of Logic is a ground-breaking contribution to Peircean semiotics, impressive in its scope and depth. It is the first book where Peirce’s pragmatic theory of meaning, logic of existential graphs, and theory of communication are presented in a unified game-theoretical framework. This work is indispensable to all serious students of Peirce’s philosophy of logic, language, and communication." Risto Hilpinen, Professor of Philosophy, University of Miami, Coral Gables, USA "Charles Peirce, America’s great scientific philosopher, was convinced that his late logic could contribute significantly to ‘man’s future intellectual development’, but he never got the chance to make his case. Now, a century later, Pietarinen shows that Peirce was right and that Peirce’s semiotic and logic can inform the theory of games and strategy and contribute to a general theory of intelligent agency. This is cutting edge philosophy and it is much to Pietarinen’s credit that he has been able to find such up-to-date relevance and significance in Peirce’s century old writings." Nathan Houser, Professor of Philosophy, Director of the Institute for American Thought, Director and General Editor of the Peirce Edition Project "In this magisterial work Ahti-Veikko Pietarinen has performed the valuable service of demonstrating the extent that Peirce’s logic admits of systematic expression, notwithstanding the scatter and fragmentariness of his writings. Even more impressive is the success of Signs of Logic in establishing Peirce’s remarkable prescience as anticipator of developments ranging from game-theoretic logic to dialogue logic, from Gricean pragmatics to the economics of cognitive practice, and so on. Signs of Logic is essential reading for the Peirce scholar and for any one interested in the development of logic in the century just past and beyond." John Woods, Professor, FRSC, Dept. of Philosophy, University of British Columbia, Canada, and Charles S. Peirce Professor of Logic, Dept. of Computer Science, King’s College London, UK "Pietarinen’s book fills an important void in the contemporary understanding of Peirce’s logical heritage. Its thorough intertwining of Peirce’s game-theoretic ideas and Peirce’s existential graphs opens up an immense panorama. Combining precision and perspective, mathematical detail and philosophical architectonics, the work presents one of the best available accounts of Peirce’s kinetic thought." Fernando Zalamea, Profesor Asociado, Departamento de Matemáticas, Universidad Nacional de Colombia

Newsletter of the Society for the Advancement of American Philosophy, 1998

Press, 1997. xii plus 653 pp. $49.95. On September 10, 1989 philosophers, semioticians, logicians, and others celebrated Peirce's birthday with a Charles S. Peirce Sesquicentennial International Congress, with 26 countries represented by over 450 scholars. One o f the foci of the Congress was a "principal logic symposium," which provided technical papers on Peirce's contributions to logic and his impact on contemporary logic. This long-awaited edition o f that symposium has been expanded beyond the symposium papers, to include the philosophy o f logic. In the editors' words: "We think the result is the most comprehensive account and exposition o f Peirce's contributions to technical logic."

1996

This paper * has two separate aims, with obvious links between them. First, to present Charles S. Peirce and the pragmatist movement in a historical framework which stresses the close connections of pragmatism with the mainstream of philosophy; second, to deal with a particular controversial issue, that of the supposed logicistic orientation of Peirce's work.

Logic, Epistemology, and the Unity of Science, 2019

Logic, Epistemology, and the Unity of Science aims to reconsider the question of the unity of science in light of recent developments in logic. At present, no single logical, semantical or methodological framework dominates the philosophy of science. However, the editors of this series believe that formal techniques like, for example, independence friendly logic, dialogical logics, multimodal logics, game theoretic semantics and linear logics, have the potential to cast new light on basic issues in the discussion of the unity of science. This series provides a venue where philosophers and logicians can apply specific technical insights to fundamental philosophical problems. While the series is open to a wide variety of perspectives, including the study and analysis of argumentation and the critical discussion of the relationship between logic and the philosophy of science, the aim is to provide an integrated picture of the scientific enterprise in all its diversity.

phases of the ego, -so that, being dialogical, it is essentially composed of signs, as its Matter, in the sense in which a game of chess has the chessmen for its matter.

Signs of logic , 2006

ÖÐ × Ë ÒØ Ó Ë Ò Ö× È Ö (b. 1839), son of the mathematician Benjamin P., brought up in a circle of physicists and naturalists, and specially educated as a chemist, derived his first introduction to philosophy from the K.d.R.V. [Immanuel Kant's Critique of Pure Reason, published in 1781] and other celebrated German works, and only later made acquaintance with English, Greek, and Scholastic philosophy. Accepting unreservedly Kant's opinion that the metaphysical conceptions are merely the logical conceptions differently Kant's table of functions of judgment as culpably superficial.

Semiotica

Charles S. Peirce attempted to develop his semiotic theory of cognitive signs interpretation, which are originated in our basic perceptual operations that quasi-prove the truth of perceptual judgment representing reality. The essential problem was to explain how, by a cognitive interpretation of the sequence of perceptual signs, we can represent external physical reality and reflectively represent our cognitive mind’s operations of signs. With his phaneroscopy introspection, Peirce shows how, without going outside our cognitions, we can represent external reality. Hence Peirce can avoid the Berkeleyian, Humean, and Kantian phenomenologies, as well as the modern analytic philosophy and hermeneutic phenomenology. Peirce showed that with the trio of semiotic interpretation – abductive logic of discovery of hypotheses, deductive logic of necessary inference, and inductive logic of evaluation – we can reach a complete proof of the true representation of reality. This semiotic logic of re...