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Profile: Wojciech Krysztofiak (Univeristy of Szczecin)
  1. Wojciech Krysztofiak (forthcoming). Hyper-Slingshot. Is Fact-Arithmetic Possible? Foundations of Science:1-18.
    The paper presents a new argument supporting the ontological standpoint according to which there are no mathematical facts in any set theoretic model (world) 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 (...)
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  2. Wojciech Krysztofiak (2013). Do We Need Mathematical Facts? History and Philosophy of Logic 35 (1):1-32.
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  3. Katarzyna Patro & Wojciech Krysztofiak (2013). Mental Number Lines. SNARC Effect. Philosophical Aspects. Filozofia Nauki 21 (3):45 - +.
     
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  4. Katarzyna Patro & Wojciech Krysztofiak (2013). Umysłowe osie liczbowe. Efekt SNARC. Aspekty filozoficzne. Filozofia Nauki 21 (3 (83)):45-98.
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  5. Wojciech Krysztofiak (2012). Indexed Natural Numbers in Mind: A Formal Model of the Basic Mature Number Competence. [REVIEW] 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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  6. Wojciech Krysztofiak (2012). Logiczna składnia liczebnika. Studium kognitywistyczne. Część I. Filozofia Nauki 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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  7. Wojciech Krysztofiak (2012). Polscy filozofowie na międzynarodowym, czasopiśmienniczym rynku filozoficznym. Ruch Filozoficzny 1 (1).
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  8. Wojciech Krysztofiak (2012). The Grammar of Philosophical Discourse. Semiotica 188 (1/4):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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  9. Wojciech Krysztofiak (2012). The Logical Syntax of a Numeral. A Study in Cognitive Science, Part I. Filozofia Nauki 20 (1).
     
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  10. Wojciech Krysztofiak (2011). Fakty matematyczne w świetle logiki niefregowskiej. Filozofia Nauki 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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  11. Wojciech Krysztofiak (2011). Mathematical Facts in Light of Nonfregean Logic. Filozofia Nauki 19 (4):83.
     
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  12. Wojciech Krysztofiak (2011). Witalistyczno-egzystencjalistyczna interpretacja pierwszej filozofii Wittgensteina. Diametros 29:50-70.
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  13. Wojciech Krysztofiak (2010). Multi-Temporal Counting Structures. Indexed Natural Numbers in Light of Cognitive Arithmetic. Filozofia Nauki 18 (4):23.
     
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  14. Wojciech Krysztofiak (2010). Multi-temporalne struktury obliczeniowe. Indeksowane liczby naturalne w świetle arytmetyki kognitywnej. Filozofia Nauki 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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  15. Wojciech Krysztofiak (2008). Kategoria podmiotu witalnego w Traktacie Wittgenteina. Prolegomena do egzystencjalizmu logicznego. Ruch Filozoficzny 2 (2).
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  16. Wojciech Krysztofiak (2008). Parafraza analityczna egzystencjalistycznego modelu umysłu. Ruch Filozoficzny 1 (1).
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  17. Wojciech Krysztofiak (2008). Szczecińskie referaty Wittgensteinowskie. Ruch Filozoficzny 2 (2).
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  18. Wojciech Krysztofiak (2007). Część I. Egzystencjalistyczny model umysłu. Ruch Filozoficzny 4 (4).
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  19. Wojciech Krysztofiak (2007). Frege, Husserl, Leśniewski i Heidegger. Bycie w perspektywie analitycznej. 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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  20. Wojciech Krysztofiak (2007). Logiki drzew derywacyjnych. 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. Wojciech Krysztofiak (2007). Spór o ontologię sytuacji jako spór o zasadę kompozycyjności. Argument z metafory. 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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  22. Wojciech Krysztofiak (2007). The Phenonenological Idealism Controversy in Light of Possible Worlds Semantics. 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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  23. Wojciech Krysztofiak (2005). Egzystencjalizm z punktu widzenia koncepcji aktów mowy. 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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  24. Aleksandra Gad & Wojciech Krysztofiak (2004). Sprawozdanie z III Warsztatów Studentów Filozofii Sto lat filozofii analitycznej. Ruch Filozoficzny 4 (4).
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  25. Wojciech Krysztofiak (2004). Wspomnienie o Profesorze Henryku Hadrysiu. Odczyty i wykłady: Sebastian Rödl: Three Forms of Practical Reasoning. Ruch Filozoficzny 2 (2).
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  26. Wojciech Krysztofiak (2002). Metamatematyka i intensjonalność. Filozofia Nauki 3.
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  27. Wojciech Krysztofiak (2001). Idealizm. Przeglad Filozoficzny - Nowa Seria 40 (4):103-120.
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  28. Wojciech Krysztofiak (2001). O stanach rzeczy raz jeszcze. Filozofia Nauki 4.
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  29. Wojciech Krysztofiak (1997). Formalizacja kontrowersji idealizm-realizm. 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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  30. Wojciech Krysztofiak (1996). Analiza opozycji idealizm-realizm. 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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  31. Wojciech Krysztofiak (1995). Noemata and Their Formalization. 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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  32. Wojciech Krysztofiak (1991). Phenomenology, Possible Worlds and Negation. Husserl Studies 8 (3):205-220.