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Noemata and their formalization

Synthese 105 (1):53 - 86 (1995)

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  1. Mathematizing phenomenology.Jeffrey Yoshimi - 2007 - Phenomenology and the Cognitive Sciences 6 (3):271-291.
    Husserl is well known for his critique of the “mathematizing tendencies” of modern science, and is particularly emphatic that mathematics and phenomenology are distinct and in some sense incompatible. But Husserl himself uses mathematical methods in phenomenology. In the first half of the paper I give a detailed analysis of this tension, showing how those Husserlian doctrines which seem to speak against application of mathematics to phenomenology do not in fact do so. In the second half of the paper I (...)
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  • The phenonenological idealism controversy in light of possible worlds semantics.Wojciech Krysztofiak - 2007 - Axiomathes 17 (1):75-97.
    In the paper there is presented the semantic interpretation of idealism/ realism controversy which is one of the most essential issues in Ingarden’s phenomenological project of ontology. The procedure of semantic paraphrase which is contemporary developed by Wolen´ ski, is the main interpretative tool. In the central part of the paper, there is formulated the formal theory of the semantic framework underlying idealism/realism discourse. Finally, there are formulated some notes showing that intentional conception of negation may be used for defending (...)
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  • 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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  • Representational Structures of Arithmetical Thinking: Part I.Wojciech Krysztofiak - 2016 - Axiomathes 26 (1):1-40.
    In this paper, representational structures of arithmetical thinking, encoded in human minds, are described. On the basis of empirical research, it is possible to distinguish four types of mental number lines: the shortest mental number line, summation mental number lines, point-place mental number lines and mental lines of exact numbers. These structures may be treated as generative mechanisms of forming arithmetical representations underlying our numerical acts of reference towards cardinalities, ordinals and magnitudes. In the paper, the theoretical framework for a (...)
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  • 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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  • Semantic Analysis of Relations in Roman Ingarden’s Ontology.Urszula Żegleń - 1983 - Studia Semiotyczne—English Supplement 13:33-47.
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