One usually makes assertions by means of uttering indicative sentences like “It is raining”. However, not every utterance of an indicative sentence is an assertion. For example, in uttering “I will be back tomorrow”, one might be making a promise. What is to make an assertion? C.S. Peirce held the view that “to assert a proposition is to make oneself responsible for its truth” (CP 5.543). In this thesis, I interpret Peirce’s view of assertion and I evaluate Peirce’s reasons for (...) holding it. I begin by reconstructing and assessing Peirce’s case for such view as it appears in (EP 2.140, 1903), (EP 2.312-313, 1904), and (CP 5.546, 1908). Then, I continue by elaborating on three aspects of Peirce’s view of assertion, namely, assertion as an act involving a certain kind of responsibility, the proposition as what is asserted, and responsibility for truth as a responsibility to give reasons. With respect to these three aspects, I argue for the following claims: (1) Peirce construed the responsibility involved in asserting as a moral responsibility; (2) Peirce held that propositions are types; and (3) Peirce was committed to a dialogical interpretation of “responsibility to give reasons”. Finally, I end by presenting two objections to Peirce’s view of assertion and its corresponding replies. I conclude that Peirce’s account of assertion is a valuable contribution to the philosophical debate on assertion. (shrink)

In this work, we propose a computational approach to the triadic model of Peircean semiosis (meaning processes). We investigate theoretical constraints about the feasibility of simulated semiosis. These constraints, which are basic requirements for the simulation of semiosis, refer to the synthesis of irreducible triadic relations (Sign–Object–Interpretant). We examine the internal organization of the triad S–O–I, that is, the relative position of its elements and how they relate to each other. We also suggest a multi-level approach based on self-organization principles. (...) In this context, semiosis is described as an emergent process. Nevertheless, the term ‘emergence’ is often used in a very informal way in the so called ‘emergent’ computation, without clear explanations and/or definitions. In this paper, we discuss in some detail the meaning of the theoretical terms ‘emergence’ and ‘emergent’, showing how such an analysis can lead to improvements of the algorithm proposed. (shrink)

The problem of the status of metaphysics -- what it is and what it is for, what use it is - has been with us for millennia, at least since Plato took issue with the Sophists, and continues to the present day. Here I attempt an intervention in this perennial dispute, with the aim of providing some kind of rapprochement between the factions. This intervention is based on how Charles Sanders Peirce (1839-1914) understood metaphysics and the position presented here is (...) thus called `Peircean realism'. The basic idea is that everyone has a metaphysics and has to have one, just to get by in everyday life, and this is no different for scientific inquirers in their professional work. The subject matter of metaphysics is thus presuppositions, whether it is what we rely on to go shopping or to discover the Higgs boson. We rely on these in our activities and expect them to have an effect on outcomes, so when our expectations are frustrated, doubt may be thrown on our presuppositions. We would thus like the ability to inquire into our presuppositions so as not to repeat mistakes, but our instinctive, evolved capacity for reasoning may not be up the job, since it is entwined with what we take for granted. Instead, Peirce develops a science of good reasoning that includes a theory of inquiry, which would allow us to scrutinise our presuppositions, to perform metaphysical inquiry. The starting point for this science of good reasoning is basic principles of combination and organisation, because these are involved in all activity, and these are Peirce's categories of Firstness, Secondness and Thirdness. This is also where I start in the exposition of and argument for Peircean realism as a scientific -- that is, truth-directed -- metaphysics that provides the best possible general presuppositions to the natural and human sciences, the special sciences that deal with matters in their particularity; that Peircean realism is a viable metaphysics for those sciences. This exposition and argument comprises the first part of this thesis. In the second part, the case for Peircean realism is further bolstered by turning a critical eye on positions that are deficient from the Peircean point of view, in that they lack one or other category and thus starve the special sciences of the resources they need, or that they try to ignore metaphysics entirely. All this is meant to demonstrate that metaphysics is unavoidable, that we need all three of Peirce's categories for a viable metaphysics for the special sciences, and that Peircean realism is just such a metaphysics. (shrink)

We present a category-theoretical analysis, based on the concept of generic figures, of a diagrammatic system for propositional logic (Peirce’s Existential Graphs α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}). The straightforward construction of a presheaf category EGα∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathcal {E}}}{{\mathcal {G}}}_{\alpha ^{*}}$$\end{document} of cuts-only Existential Graphs (equivalent to the well-studied category of finite forests) provides a basis for the further construction of the category EGα\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} (...) \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathcal {E}}}{{\mathcal {G}}}_\alpha $$\end{document} which introduces variables in a reconstructedly generic, or label-free, mode. Morphisms in these categories represent syntactical embeddings or, equivalently but dually, extensions. Through the example of Peirce’s system, it is shown how the generic figures approach facilitates the formal investigation of relations between syntax and semantics in such diagrammatic systems. (shrink)

Os signos e as classes dos signos estão entre os tópicos mais importantes do sistema filosófico de Charles S. Peirce. As 10, 28, e 66 classes de signos são classificações desenvolvidas especialmente a partir de 1903 e representam um grande refinamento da divisão fundamental de signos – ícone, índice, símbolo. Nossa abordagem aqui define uma estratégia de visualização das classificações dos signos, com especial atenção para as 10 e 66 classes de signos. O livro está dividido em duas partes: (i) (...) bases teóricas, (ii) diagramas para as classes de signos. Na Parte I (bases teóricas), são apresentadas introdutoriamente as noções fundamentais das categorias fenomenológicas, classes de signos, as tricotomias e diagramas, assim como implicações gerais de nossa abordagem, metodologia e aplicações. Na Parte II (diagramas para as classes de signos), são apresentados e discutidos os modelos das classes, propostos por Peirce e seus comentadores, incluindo uma introdução detalhadamente documental de nossos modelos, 10cubes e 3N3, diagramas dinâmicos para as classes de signos. (shrink)

The paper is focused on Genesis 1 – 3 where the primordial man [adàm] is created ‎and he was given the proper name Adam [adàm]. ‎ In Hebrew man and Adam are the same word, spelled the same way – [adàm]. ‎Different translations of Genesis 1-3 use for the first time the proper name Adam in ‎different places versions Gen 2:25; The German Luther ‎Bible Gen 3:8; Some English Protestant versions Gen 3:17; Bulgarian Protestant and many ‎English Protestant versions Gen (...) 3:20-21). The paper decodes the phenomenon by ‎studying the Hebrew original and several semiotic views on common and proper names ‎‎. Through these opinions the ‎important question “Who wrote the Bible?” is discussed. The analysis interfaces the new ‎linguistic relativity theory.‎ Four layers of symbolism are decoded: 1. The man became Adam; 2. The two men in ‎Gen 1:27 and in Gen 2:7 man [adàm] ‎is made by earth, ground [adamà]; 3. The two men in the New Testament ; 4. Edom, Adam and cultural discourses in both Testaments.‎. (shrink)

The work has two parts. The first part is about Peirce and his ideas about the continuum. There are considered the connection of his theory of continuity with his loic and his philosophy. In the second part Peirce's ideas are compared with models of todays logic and mathematics. There is considerd constructive mathematics, the logic of perception from Bell, Blau's Logic of reflection and a model of Myrvold. Then there is developed a new model.

We present a category-theoretical analysis, based on the concept of generic figures, of a diagrammatic system for propositional logic ). The straightforward construction of a presheaf category \ of cuts-only Existential Graphs provides a basis for the further construction of the category \ which introduces variables in a reconstructedly generic, or label-free, mode. Morphisms in these categories represent syntactical embeddings or, equivalently but dually, extensions. Through the example of Peirce’s system, it is shown how the generic figures approach facilitates the (...) formal investigation of relations between syntax and semantics in such diagrammatic systems. (shrink)

In “An ‘Entirely Different Series of Categories,’” I argue that aside from Peirce’s formal categories of Firstness, Secondness, and Thirdness, Peirceans should acknowledge a second set of categories I call the material categories. I also argue that the material categories are irreducible to the formal categories. However, in that article I offer no account of what the material categories are. Moreover, Peirce himself never provides a clear and explicit account of them. The present essay attempts to provide an account of (...) the Peircean material categories. Like Peirce’s “Guess at the Riddle,” which sought to elucidate his formal categories, this is a guess at the other riddle, his material categories, with.. (shrink)