20 found

Year:

  1.  14
    Styled Morphogeometry.Liliana Albertazzi - 2020 - Axiomathes 30 (3):227-250.
    The paper presents analysis of form in different domains. It draws on the commonalities and their potential unified classifications based on how forms subjectively appear in perception—as opposed to their standard specification in Euclidean geometry or other objective quantitative methods. The paper provides an overview aiming to offer elements for thought for researchers in various fields.
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  2.  7
    Epistemological Field and Constellation of Fact in Wittgenstein’s and Popper’s Philosophy.Mark Goncharenko - 2020 - Axiomathes 30 (3):327-346.
    In this article, a comparative analysis of Karl Popper’s falsifiability theory and Ludwig Wittgenstein’s theory of meaning in the context of the historical-philosophical approach to the problem of new knowledge formation and justification is undertaken. An assumption is made that the constellation of fact is connected with the possibility of the emergence of an epistemological field. Researchers have repeatedly addressed this issue; however, one important detail received no due attention: Popper’s counter-arguments regarding Wittgenstein’s view on semantic paradoxes show the fundamental (...)
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  3.  18
    Quantifier Variance Without Meaning Variance.Davood Hosseini - 2020 - Axiomathes 30 (3):313-325.
    Quantifier variance entails that ‘there exists’ has a variety of meanings. Determining what makes all these meanings quantifier meanings is a problem associated with this view. A reasonable candidate suggested by Hirsch is the set of formal rules governing quantification. However, the collapse argument presents a notorious objection to the viability of the candidate: there cannot be more than one quantifier obeying the same rules up to logical equivalence. It is proposed that a quantifier variantist who intends to retain Hirsch’s (...)
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  4.  54
    Noema and Noesis. Part I: Functions of Noetic Synthesis.Wojciech Krysztofiak - 2020 - Axiomathes 30 (3):251-267.
    In the paper, the formal model of the noetic synthesis functions is presented. Together with the functions of noematic synthesis, they are understood as components of functions of intentional reference, which are meant to be, in turn, formalizations of intentional acts of reference performed in the stream of consciousness. This research perspective allows us to extend the category of speech acts to the category of all intentional acts of reference. The functions of noetic synthesis are understood as composed of the (...)
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  5.  12
    Noema and Noesis. Part II: Functions of Noematic Synthesis.Wojciech Krysztofiak - 2020 - Axiomathes 30 (3):269-287.
    In the paper, being the second part of the work entitled Noema and Noesis, the formal model of the noematic synthesis functions is presented. Together with functions of noetic synthesis, they are understood as components of functions of intentional reference, which are to be, in turn, formalizations of intentional acts of reference performed in the stream of consciousness. Noemata are understood as mental representations associated with mental worlds. The processes of their synthesis in the mind engage the work of many (...)
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  6.  39
    On the Solvability of the Mind–Body Problem.Jan Scheffel - 2020 - Axiomathes 30 (3):289-312.
    The mind–body problem is analyzed in a physicalist perspective. By combining the concepts of emergence and algorithmic information theory in a thought experiment, employing a basic nonlinear process, it is shown that epistemologically emergent properties may develop in a physical system. Turning to the significantly more complex neural network of the brain it is subsequently argued that consciousness is epistemologically emergent. Thus reductionist understanding of consciousness appears not possible; the mind–body problem does not have a reductionist solution. The ontologically emergent (...)
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  7.  19
    Can Fractional Calculus be Applied to Relativity?S. A. David & J. A. Rabi - 2020 - Axiomathes 30 (2):165-176.
    Interest has been recently devoted to historical and philosophical aspects about fractional calculus and its adoption as additional mathematical tool in different physics areas as well as in other scientific applications. However, potential application of FC towards relativity is still lacking. In relativity theory, Lorentz transformation of time and position coordinates plays a major role while the corresponding outcomes still defy our ‘common sense’. As some problems in physics can be solved by following different mathematical routes leading to the same (...)
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  8.  13
    Fitch and Mary.Gregory Landini - 2020 - Axiomathes 30 (2):193-199.
    There is a rather famous “Fitch argument” that not everything that is true is knowable. There is a rather famous “Mary argument” that is often used to argue that reductive physicalism is false. This paper sets out the two side by side as the Fitch Knowability Paradox and the Mary Knowability Paradox. It is found that they have the same logical form and thus the question of validity can be evaluated with the same tools. Likening the two is useful, since (...)
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  9.  16
    The Weak Objectivity of Mathematics and Its Reasonable Effectiveness in Science.Daniele Molinini - 2020 - Axiomathes 30 (2):149-163.
    Philosophical analysis of mathematical knowledge are commonly conducted within the realist/antirealist dichotomy. Nevertheless, philosophers working within this dichotomy pay little attention to the way in which mathematics evolves and structures itself. Focusing on mathematical practice, I propose a weak notion of objectivity of mathematical knowledge that preserves the intersubjective character of mathematical knowledge but does not bear on a view of mathematics as a body of mind-independent necessary truths. Furthermore, I show how that the successful application of mathematics in science (...)
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  10.  5
    On a Three-Valued Logic with Blamey’s Interjunction for the Formal Description of Atomic Transactions.Mateusz M. Radzki - 2020 - Axiomathes 30 (2):177-191.
    The article demonstrates that to describe the property of atomicity of transactions in database systems, we need a three-valued logic with propositional connective characterized in the same way as Blamey’s interjunction. However, the article explains that since Blamey’s partial logic with interjunction is a logic without tautologies, it does not satisfy some salient conditions of being a logic of atomic transactions. The article introduces a logic of the considered kind, and provides an example of the formal exposition of the case (...)
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  11.  17
    An Axiomatic Reconstruction of the Basic Categories in Process Philosophy.Sebastian Siemoleit & Heinrich Herre - 2020 - Axiomathes 30 (2):107-147.
    Although the ideas in Process and Reality are well-recognized by many scientists in various disciplines beyond philosophy, these investigations are focused on the formal interpretation of the notion of space in the context of mereotopology. Indeed, the notion of time is either neglected completely or understood as an abstraction from the four-dimensional existence of enduring objects. However, there is no elucidation of the notion of time beyond this existence. We introduce a monadic second order language to formalize the ultimate principles (...)
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  12.  12
    Revisiting Mixed Feelings.Robert Zaborowski - 2020 - Axiomathes 30 (2):201-226.
    In this article I first analyze the meaning of mixed feelings and what this expression refers to. I argue that what the term mixed feelings is commonly taken to mean are not mixed feelings because there is no mixture, and also because the same object and the same time condition of what is supposed to be mixed is not satisfied. I then pass on to a case of genuine mixed feelings. Genuinely mixed feelings are feelings composed of simple or basic (...)
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  13.  11
    City and Soul in Plato and Alfarabi: An Explanation for the Differences Between Plato’s and Alfarabi’s Theory of City in Terms of Their Distinct Psychology.Ishraq Ali & Mingli Qin - 2020 - Axiomathes 30 (1):91-105.
    In his political treatise, Mabadi ara ahl al-madina al-fadhila, Abu Nasr Alfarabi, the medieval Muslim philosopher, proposes a theory of virtuous city which, according to prominent scholars, is modeled on Plato’s utopia of the Republic. No doubt that Alfarabi was well-versed in the philosophy of Plato and the basic framework of his theory of city is platonic. However, his theory of city is not an exact reproduction of the Republic’s theory and, despite glaring similarities, the two theories do differ in (...)
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  14.  16
    Merleau-Ponty’s Phenomenology as a Hermeneutic Framework for Quantum Mechanics.Leonardo Colletti & Pablo Pellegrini - 2020 - Axiomathes 30 (1):49-68.
    We propose a synthetic description of Merleau-Ponty’s phenomenology with the aim of providing physicists and philosophers with an alternative linguistic and conceptual framework to address the logical and ontological problematics emerged in quantum mechanics. Phenomenology’s cognitive devices such as the dynamical relationship between object and horizon, the presumptive synthesis and the constitution of an ontology based on the indivisibility of object and subject, not only show hermeneutic efficacy when applied to the study of human perception, but may prove to be (...)
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  15.  9
    Talking About Models: The Inherent Constraints of Mathematics.Stathis Livadas - 2020 - Axiomathes 30 (1):13-36.
    In this article my primary intention is to engage in a discussion on the inherent constraints of models, taken as models of theories, that reaches beyond the epistemological level. Naturally the paper takes into account the ongoing debate between proponents of the syntactic and the semantic view of theories and that between proponents of the various versions of scientific realism, reaching down to the most fundamental, subjective level of discourse. In this approach, while allowing for a limited discussion of physical (...)
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  16. How to Overcome Antirealists’ Objections to Scientific Realism.Seungbae Park - 2020 - Axiomathes 30 (1):1-12.
    Van Fraassen contends that there is no argument that rationally compels us to disbelieve a successful theory, T. I object that this contention places upon him the burden of showing that scientific antirealists’ favorite arguments, such as the pessimistic induction, do not rationally compel us to disbelieve T. Van Fraassen uses the English view of rationality to rationally disbelieve T. I argue that realists can use it to rationally believe T, despite scientific antirealists’ favorite arguments against T.
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  17.  8
    The Little Word “As.” On Making Contexts and Aspects Explicit.Konrad Werner - 2020 - Axiomathes 30 (1):69-90.
    The word “as” enables one to make contexts and aspects of things explicit while attributing properties or descriptions to them. For example “John is rational as a mathematician”; “John is irrational as a driver.” This paper examines the idea according to which all propositions containing “as” should be targeted as potential inferences about the subject; as for the examples given—about John. If the inference is valid—the conception in question holds—one can get rid of “as.” I argue against that view by (...)
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  18.  14
    The Paradigm Crisis of Modern Mainstream Economics.A. S. Xie - 2020 - Axiomathes 30 (1):37-48.
    Theoretical economics should not be divorced from real life. If theoretical research cannot provide a good explanation for real-world economic phenomena, then we have to question the appropriateness of the paradigm that our theoretical research follows. The battle between neoclassical macroeconomics and Keynesian economics has exposed the inadequacy of the paradigm that modern mainstream economics has followed. Neoclassical macroeconomics and Keynesian economics have the same microeconomic basis. However, the paradigm of the microeconomics on which they are based has serious flaws—the (...)
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  19.  22
    When Science Confronts Philosophy: Three Case Studies.Eric Dietrich - 2020 - Axiomathes 1:1-22.
    This paper examines three cases of the clash between science and philosophy: Zeno’s paradoxes, the Frame Problem, and a recent attempt to experimentally refute skepticism. In all three cases, the relevant science claims to have resolved the purported problem. The sciences, construing the term broadly, are mathematics, artificial intelligence, and psychology. The goal of this paper is to show that none of the three scientific solutions work. The three philosophical problems remain as vibrant as ever in the face of robust (...)
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  20.  79
    A Dilemma for Mathematical Constructivism.Samuel Kahn - 2020 - Axiomathes:01-10.
    In this paper I argue that constructivism in mathematics faces a dilemma. In particular, I maintain that constructivism is unable to explain (i) the application of mathematics to nature and (ii) the intersubjectivity of mathematics unless (iii) it is conjoined with two theses that reduce it to a form of mathematical Platonism. The paper is divided into five sections. In the first section of the paper, I explain the difference between mathematical constructivism and mathematical Platonism and I outline my argument. (...)
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