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Wojciech Krysztofiak
Jagiellonian University
  1.  70
    Noemata and Their Formalization.Wojciech Krysztofiak - 1995 - Synthese 105 (1):53 - 86.
    The presentation of the formal conception of noemata is the main aim of the article. In the first section, three informal approaches to noemata are discussed. The goal of this chapter is specifying main controversies and their sources concerned with different ways of the understanding of noemata. In the second section, basic assumptions determining the proposed way of understanding noemata are presented. The third section is devoted to the formal set-theoretic construction needed for the formal comprehension of noemata. In the (...)
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  2.  19
    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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  3.  14
    Algebraic Models of Mental Number Axes: Part II.Wojciech Krysztofiak - 2016 - Axiomathes 26 (2):123-155.
    The paper presents a formal model of the system of number representations as a multiplicity of mental number axes with a hierarchical structure. The hierarchy is determined by the mind as it acquires successive types of mental number axes generated by virtue of some algebraic mechanisms. Three types of algebraic structures, responsible for functioning these mechanisms, are distinguished: BASAN-structures, CASAN-structures and CAPPAN-structures. A foundational order holds between these structures. CAPPAN-structures are derivative from CASAN-structures which are extensions of BASAN-structures. The constructed (...)
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  4.  49
    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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  5.  21
    Do We Need Mathematical Facts?Wojciech Krysztofiak - 2014 - History and Philosophy of Logic 35 (1):1-32.
    The main purpose of the paper concerns the question of the existence of hard mathematical facts as truth-makers of mathematical sentences. The paper defends the standpoint according to which hard mathematical facts do not exist in semantic models of mathematical theories. The argumentative line in favour of the defended thesis proceeds as follows: slingshot arguments supply us with some reasons to reject various ontological theories of mathematical facts; there are two ways of blocking these arguments: through the rejection of the (...)
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  6.  46
    Phenomenology, Possible Worlds and Negation.Wojciech Krysztofiak - 1991 - Husserl Studies 8 (3):205-220.
  7. Sprawozdanie z III Warsztatów Studentów Filozofii Sto lat filozofii analitycznej.Aleksandra Gad & Wojciech Krysztofiak - 2004 - Ruch Filozoficzny 4 (4).
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  8. Rozw'oj Paradygmatu Mechaniki Klasycznej.Henryk Hadryâs, Wojciech Krysztofiak & S. ±Awomir Okulski - 1991 - Uniwersytet Szczeciânski.
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  9. Analiza opozycji idealizm-realizm.Wojciech Krysztofiak - 1996 - Filozofia Nauki 1.
    The paper is intended to discuss main semantic presuppositions of language, being of service to express the philosophical problem of idealism/realism in its various versions. At the beginning, the author shows that the terms „idealism” and „realism” are polysemic. The fact of this polysemy makes impossible to construct precise definitions of both the opposed notions. Then there are characterized four types of reasonings, constituting the ground for formulating the question of idealism/realism. It appears that in order to discuss the problem (...)
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  10. Część I. Egzystencjalistyczny model umysłu.Wojciech Krysztofiak - 2007 - Ruch Filozoficzny 4 (4).
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  11. Egzystencjalizm z punktu widzenia koncepcji aktów mowy.Wojciech Krysztofiak - 2005 - Filozofia Nauki 1.
    The aim of the article is applying some version of phenomenological speech acts theory into the domain of philosophical (existential) discourse. There are identified various language-mechanisms of existential philosophising. Especially, locutionary (noematic) and illocutionary (noetic) aspects of acts existentialising are considered. The main thesis of the paper may be formulated in the following words: In acts of existential discourse, mechanisms of reference determine that an existentialising subject is directed to the mental entities such as illocutionary representations of fears, cares, wastes (...)
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  12. Frege, Husserl, Leśniewski i Heidegger. Bycie w perspektywie analitycznej.Wojciech Krysztofiak - 2007 - Filozofia Nauki 3.
    The main aim of the paper is paraphrasing Heidegger's category of being in the theoretic framework of Fregean phenomenological semantics. The choice of Fregean phenomenological semantics as the tool of the paraphrase is justified by the fact that philosophy articulated in Sein und Zeit may be interpreted as the modification of Husserl's project of phenomenology which is treated, in turn, as generalisation of Frege's theory of sense and nominatum. So in the paper it is defended that Heidegger's category of being (...)
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  13. Formalizacja kontrowersji idealizm-realizm.Wojciech Krysztofiak - 1997 - Filozofia Nauki 1.
    This is an attempt of formalizing the language of the idealism-realism debate in terms of possible worlds. Different versions of idealism and realism are presented within the proposed framework. Finally, the proposed formal construction is applied to the interpretation of some philosophical positions that can be found in the history of philosophy.
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  14. Fakty matematyczne w świetle logiki niefregowskiej.Wojciech Krysztofiak - 2011 - Filozofia Nauki 19 (4).
    The paper presents a new argument supporting the ontological standpoint according to which there are no mathematical facts in any set theoretic model (world) constructed on the grounds of second order arithmetical theories founded upon set theory. Slingshot arguments directed against facts, situations and other propositional entities are usually blocked by rejecting one of the main inference rules used in various versions of this argument. Authors distinguish two types of main inference rules used in these variants: (i) for non-propositional expressions: (...)
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  15.  32
    Hyper-Slingshot. Is Fact-Arithmetic Possible?Wojciech Krysztofiak - 2015 - Foundations of Science 20 (1):59-76.
    The paper presents a new argument supporting the ontological standpoint according to which there are no mathematical facts in any set theoretic model of arithmetical theories. It may be interpreted as showing that it is impossible to construct fact-arithmetic. The importance of this conclusion arises in the context of cognitive science. In the paper, a new type of slingshot argument is presented, which is called hyper-slingshot. The difference between meta-theoretical hyper-slingshots and conventional slingshots consists in the fact that the former (...)
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  16. Idealizm.Wojciech Krysztofiak - 2001 - Przeglad Filozoficzny - Nowa Seria 40 (4):103-120.
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  17.  80
    Indexed Natural Numbers in Mind: A Formal Model of the Basic Mature Number Competence. [REVIEW]Wojciech Krysztofiak - 2012 - Axiomathes 22 (4):433-456.
    The paper undertakes three interdisciplinary tasks. The first one consists in constructing a formal model of the basic arithmetic competence, that is, the competence sufficient for solving simple arithmetic story-tasks which do not require any mathematical mastery knowledge about laws, definitions and theorems. The second task is to present a generalized arithmetic theory, called the arithmetic of indexed numbers (INA). All models of the development of counting abilities presuppose the common assumption that our simple, folk arithmetic encoded linguistically in the (...)
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  18. Kategoria podmiotu witalnego w Traktacie Wittgenteina. Prolegomena do egzystencjalizmu logicznego.Wojciech Krysztofiak - 2008 - Ruch Filozoficzny 65 (2).
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  19. Logical Consequence Operators and Etatism.Wojciech Krysztofiak - 2020 - Studia Humana 9 (3-4):177-193.
    In the paper, there is presented the theory of logical consequence operators indexed with taboo functions. It describes the mechanisms of logical inference in the environment of forbidden sentences. This kind of processes take place in ideological discourses within which their participants create various narrative worlds. A peculiar feature of ideological discourses is their association with taboo structures of deduction which penalize speech acts. The development of discourse involves, among others, transforming its deduction structure towards the proliferation of consequence operators (...)
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  20. Logiki drzew derywacyjnych.Wojciech Krysztofiak - 2007 - Filozofia Nauki 2.
    The paper presents the construction of a new class of logics, which are called logics of derivational trees. The presentation comprises three sections: (i) intuitive psychological motivations for these logics stemming from some results of developmental psycho-linguistics (Piaget, Chomsky), (ii) the construction of formal calculus with help of algorithmic tools, and (iii) the construction of set-theoretic semantic model for our logic. They determine criteria of valid deriving and transforming structures which are usually described in the literature as derivational trees. These (...)
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  21. Logiczna składnia liczebnika. Studium kognitywistyczne. Część I.Wojciech Krysztofiak - 2012 - Filozofia Nauki 20 (1).
    In the paper there are presented main assumptions underlying the construction of theoretic models of mental processes of numeral reference in mathematical practice which comprises such abilities as counting, solving story-tasks, estimating cardinalities and comparing magnitudes. Numerals are understood as any expressions which enable mind to refer to numbers, cardinalities and magnitudes. The main research question formulated in the article sounds: What cognitive processes do there occur in the mind during execution of various numeral acts of reference?
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  22. Logiczna składnia liczebnika. Część II: Formatowanie i przetwarzanie liczebnikowych struktur głębokich.Wojciech Krysztofiak - 2015 - Filozofia Nauki 23 (3).
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  23. Multi-Temporal Counting Structures. Indexed Natural Numbers in Light of Cognitive Arithmetic.Wojciech Krysztofiak - 2010 - Filozofia Nauki 18 (4):23.
  24. Mathematical Facts in Light of Nonfregean Logic.Wojciech Krysztofiak - 2011 - Filozofia Nauki 19 (4):83.
  25. Metamatematyka i intensjonalność.Wojciech Krysztofiak - 2002 - Filozofia Nauki 3.
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  26. Multi-temporalne struktury obliczeniowe. Indeksowane liczby naturalne w świetle arytmetyki kognitywnej.Wojciech Krysztofiak - 2010 - Filozofia Nauki 18 (4).
    The paper presents a new model of the structure of basic arithmetical representa-tions encoded in minds which enable them to solve simple story-tasks. According to the dominating paradigm the process of acquiring basic counting abilities culminates in encoding the exact number line in mind. This linear number representation enables the mind to solve simple story-tasks which do not require any mathematical mastery knowledge comprising laws, definitions and theorems. Some researchers try to show that the process of encoding the exact number (...)
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  27.  60
    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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  28.  18
    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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  29. O stanach rzeczy raz jeszcze.Wojciech Krysztofiak - 2001 - Filozofia Nauki 4.
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  30. Parafraza analityczna egzystencjalistycznego modelu umysłu.Wojciech Krysztofiak - 2008 - Ruch Filozoficzny 65 (1).
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  31. Polscy filozofowie na międzynarodowym, czasopiśmienniczym rynku filozoficznym.Wojciech Krysztofiak - 2012 - Ruch Filozoficzny 69 (1).
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  32. Spór o ontologię sytuacji jako spór o zasadę kompozycyjności. Argument z metafory.Wojciech Krysztofiak - 2007 - Filozofia Nauki 4.
    In the paper there is presented the argument for the situational paradigm of theory of language. In comparison to the nominativistic semantics it is argued in the paper that the propositional semantics is a better tool of explaining various speech acts in which the principle of compositionality is collapsed. In the paper there are also described referential mechanisms of metaphorical speech acts. In accordance with these mechanisms the metaphorical status of speech acts is determined by the collapse of Fregean referential (...)
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  33. Szczecińskie referaty Wittgensteinowskie.Wojciech Krysztofiak - 2008 - Ruch Filozoficzny 65 (2).
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  34. Szkice Z Fenomenologii I Filozofii Analitycznej Konferencja Naukowa, Zorganizowana Przez Zak±Ad Historii Filozofii I Miñedzyuczelniany Instytut Wiedzy Humanistycznej Uniwersytetu Szczeci'nskiego, Szczecin, 28 Luty-1 Marzec 1992. [REVIEW]Wojciech Krysztofiak, Halina Perkowska & Uniwersytet Szczeciânski - 1993 - Uniwersytet Szczeciânski.
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  35. The Grammar of Philosophical Discourse.Wojciech Krysztofiak - 2012 - Semiotica 2012 (188):295-322.
    In this paper, a formal theory is presented that describes syntactic and semantic mechanisms of philosophical discourses. They are treated as peculiar language systems possessing deep derivational structures called architectonic forms of philosophical systems, encoded in philosophical mind. Architectonic forms are constituents of more complex structures called architectonic spaces of philosophy. They are understood as formal and algorithmic representations of various philosophical traditions. The formal derivational machinery of a given space determines its class of all possible architectonic forms. Some of (...)
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  36. The Logical Syntax of a Numeral. A Study in Cognitive Science, Part I.Wojciech Krysztofiak - 2012 - Filozofia Nauki 20 (1).
  37. The vitalist-existentialist interpretation of Wittgenstein’s first philosophy.Wojciech Krysztofiak - 2011 - Diametros:50-70.
    The article presents five arguments in favor of a vitalist-existentialist interpretation of Wittgenstein's first philosophy. It points out the inter-textual links between the Treatise and the vitalist transcendental tradition developed in the nineteenth century by Dilthey and Royce. Attention is also drawn to the various types of interpretations of Wittgenstein's first philosophy. The vitalist-existentialist interpretation does not ignore the logical content of the Treatise.
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  38. Witalistyczno-egzystencjalistyczna interpretacja pierwszej filozofii Wittgensteina.Wojciech Krysztofiak - 2011 - Diametros 29:50-70.
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  39. Wspomnienie o Profesorze Henryku Hadrysiu. Odczyty i wykłady: Sebastian Rödl: Three Forms of Practical Reasoning.Wojciech Krysztofiak - 2004 - Ruch Filozoficzny 2 (2).
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  40. Mental Number Lines. SNARC Effect. Philosophical Aspects.Katarzyna Patro & Wojciech Krysztofiak - 2013 - Filozofia Nauki 21 (3):45 - +.
  41.  23
    Umysłowe osie liczbowe. Efekt SNARC. Aspekty filozoficzne.Katarzyna Patro & Wojciech Krysztofiak - 2013 - Filozofia Nauki 21 (3 (83)):45-98.
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