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| - | =Aksjomaty ekstremalne: aspekty logiczne, matematyczne i kognitywne= | + | =Extremal axioms: logical, mathematical and cognitive aspects= |
| - | * Pracownik Jerzy Pogonowski ma w latach 2016-2018 kierować projektem badawczym Narodowego Centrum Nauki (OPUS): '''Aksjomaty ekstremalne: aspekty logiczne, matematyczne i kognitywne'''. | + | National Science Centre research project 2015/17/B/HS1/02232 '''Extremal axioms: logical, mathematical and cognitive aspects''' will be conducted at the Department of Logic and Cognitive Science, Adam Mickiewicz University in Poznań in the years 2016—2018. Principal investigator: Jerzy Pogonowski. |
| - | * Projekt będzie realizowany w Zakładzie Logiki i Kognitywistyki (Instytut Psychologii, Wydział Nauk Społecznych UAM). | + | ==English summary== |
| + | |||
| + | [[Media: exax.pdf | Extremal axioms: logical, mathematical and cognitive aspects | ||
| + | (Summary in English)]] | ||
| + | |||
| + | ==Books== | ||
| + | |||
| + | * [[Media: exax2019jp.pdf | Extremal axioms. Logical, mathematical and cognitive aspects]]. Wydawnictwo Nauk Społecznych i Humanistycznych UAM, Poznań 2019, 319 pp. | ||
| + | |||
| + | * [[Media: matmysz20jp.pdf | Myślenie matematyczne. Drobne eseje przedemerytalne]]. (Mathematical thinking. Tiny pre-retirement essays). Wydawnictwo Nauk Społecznych i Humanistycznych UAM, Poznań 2020, 154 pp. | ||
| + | |||
| + | * [[Media: emr20jp.pdf | Essays on mathematical reasoning. Cognitive aspects of mathematical research and education]]. LIT Verlag, Zürich 2020, 114 pp. | ||
| + | |||
| + | * [[Media: exit2020.pdf | Myślenie matematyczne. Podstawy, rozwój, edukacja]]. (Mathematical thinking. Foundations, development, education). Authors: Jan Gałuszka (ed.), Aleksander Gemel, Bożena Nadrowska, Jerzy Pogonowski, Robert Sochacki. Oficyna Wydawnicza EXIT, Warszawa, 2020, 138 pp. | ||
| + | |||
| + | * [[Media: posmet21.pdf | Postulaty i metafory. Dwie wizje podstaw matematyki]]. (Postulates and metaphors. Two views on the foundations of mathematics). Wydawnictwo Nauk Społecznych i Humanistycznych UAM, Poznań 2021, 154 pp. | ||
| + | |||
| + | ==A few further notes related to the project== | ||
| + | |||
| + | * [[Media: cmsc20jp.pdf | Mathematical puzzles in education]]. [https://cmsc.wmi.amu.edu.pl/ Creative Mathematics Science Communication], Wydział Matematyki i Informatyki UAM, Poznań, 3 lipca 2020. | ||
| + | * [[Media: aalcs24jp.pdf | The principle of permanence of forms]]. [http://aalcs.pl/en/main-information/ ''Applications of Algebra in Logic and Computer Science, XXIV''], Zakopane, 9-15 marca 2020. | ||
| + | * [[Media: aalcs2019jp.pdf | Mathematical intuitions]]. [http://aalcs.pl/en/main-information/ ''Applications of Algebra in Logic and Computer Science, XXIII''], Zakopane, 2019. | ||
| + | * [[Media: extmadrid2018.pdf | Extremal axioms in mathematics]]. ''IX Conference of the Spanish Society for Logic Methodology and Philosophy of Science'', Faculta de Filosofia, Edificio Humanidades, UNED, Madrid, 2018. | ||
| + | * [[Media: aalcs22jp.pdf | On the invention-discovery dilemma]]. ''Applications of Algebra in Logic and Computer Science, XXII'', Zakopane, 2018. | ||
| + | * [[Media: matmis.pdf | Mathematical mistakes]]. ''Fallacies: Strategy, Error, Shortcut (Poznań Reasoning Week 2017)'', Zakład Logiki i Kognitywistyki UAM, Poznań, 2017. | ||
| + | * [[Media: tm2017jp.pdf | Intuitive explanations of mathematical ideas]]. ''The 3rd Interdisciplinary Scientific Conference Mathematical Transgressions'', Instytut Matematyki, Uniwersytet Pedagogiczny im. KEN, Kraków, 2017 | ||
| + | * [[Media: schreiberhau2017.pdf | Cognitive accessibility of mathematical objects]]. ''Applications of Logic in Philosophy and the Foundations of Mathematics, XXII'', Szklarska Poręba, 2017. | ||
| + | * [[Media: aalcs21jp.pdf | Why do we believe in the intended models?]] ''Applications of Algebra in Logic and Computer Science, XXI'', Zakopane, 2017. | ||
| + | * [[Media: adp2016jp.pdf | Intuitive explanations]]. ''ArgDiap 14'', Adam Mickiewicz University, Poznań, 2016. | ||
| + | * [[Media: lc2016jp.pdf | On the origin of metalogical notions: the case of American Postulate Theorists]]. ''Logic and Cognition 2'', Adam Mickiewicz University, Poznań, 2016. | ||
| + | * [[Media: aalcsxxjp.pdf | Famous mistakes in mathematics]]. ''Applications of Algebra in Logic and Computer Science XX'', Zakopane 2016. | ||
| + | * [[Media: schreiberhau2015.pdf | Mathematical therapy (for adults)]]. ''Applications of Logic to Philosophy and the Foundations of Mathematics XX'', Szklarska Poręba 2015. | ||
| + | * [[Media: mtii2015.pdf | Paradox resolution as a didactic tool]]. ''Mathematical Transgressions II'', Cracow 2015. | ||
| + | * [[Media: aaxix2015.pdf | Odyssey of the mathematical mind]]. ''Applications of Algebra in Logic and Computer Science XIX'', Zakopane 2015. | ||
| + | * [[Media: intmod.pdf | Remarks on intended models of mathematical theories]]. Published in: ''Lingua Posnaniensis'' LIII (2), 2011. | ||
| + | * [http://www.glli.uni.opole.pl/publications/LT_2010_06_en.pdf Inexpressible longing for the intended model]. Meeting of the ''Group of Logic, Language and Information'', Opole 2010. | ||
| + | |||
| + | ==Popular summary in Polish== | ||
| + | |||
| + | * [https://ncn.gov.pl/sites/default/files/listy-rankingowe/2015-03-15/streszczenia/292764-pl.pdf Popular summary in Polish (from the pages of the National Science Centre)] | ||
| - | * [https://ncn.gov.pl/sites/default/files/listy-rankingowe/2015-03-15/streszczenia/292764-pl.pdf Popularne streszczenie projektu (ze stron NCN).] | ||
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[edytuj] Extremal axioms: logical, mathematical and cognitive aspects
National Science Centre research project 2015/17/B/HS1/02232 Extremal axioms: logical, mathematical and cognitive aspects will be conducted at the Department of Logic and Cognitive Science, Adam Mickiewicz University in Poznań in the years 2016—2018. Principal investigator: Jerzy Pogonowski.
[edytuj] English summary
Extremal axioms: logical, mathematical and cognitive aspects (Summary in English)
[edytuj] Books
- Extremal axioms. Logical, mathematical and cognitive aspects. Wydawnictwo Nauk Społecznych i Humanistycznych UAM, Poznań 2019, 319 pp.
- Myślenie matematyczne. Drobne eseje przedemerytalne. (Mathematical thinking. Tiny pre-retirement essays). Wydawnictwo Nauk Społecznych i Humanistycznych UAM, Poznań 2020, 154 pp.
- Essays on mathematical reasoning. Cognitive aspects of mathematical research and education. LIT Verlag, Zürich 2020, 114 pp.
- Myślenie matematyczne. Podstawy, rozwój, edukacja. (Mathematical thinking. Foundations, development, education). Authors: Jan Gałuszka (ed.), Aleksander Gemel, Bożena Nadrowska, Jerzy Pogonowski, Robert Sochacki. Oficyna Wydawnicza EXIT, Warszawa, 2020, 138 pp.
- Postulaty i metafory. Dwie wizje podstaw matematyki. (Postulates and metaphors. Two views on the foundations of mathematics). Wydawnictwo Nauk Społecznych i Humanistycznych UAM, Poznań 2021, 154 pp.
[edytuj] A few further notes related to the project
- Mathematical puzzles in education. Creative Mathematics Science Communication, Wydział Matematyki i Informatyki UAM, Poznań, 3 lipca 2020.
- The principle of permanence of forms. Applications of Algebra in Logic and Computer Science, XXIV, Zakopane, 9-15 marca 2020.
- Mathematical intuitions. Applications of Algebra in Logic and Computer Science, XXIII, Zakopane, 2019.
- Extremal axioms in mathematics. IX Conference of the Spanish Society for Logic Methodology and Philosophy of Science, Faculta de Filosofia, Edificio Humanidades, UNED, Madrid, 2018.
- On the invention-discovery dilemma. Applications of Algebra in Logic and Computer Science, XXII, Zakopane, 2018.
- Mathematical mistakes. Fallacies: Strategy, Error, Shortcut (Poznań Reasoning Week 2017), Zakład Logiki i Kognitywistyki UAM, Poznań, 2017.
- Intuitive explanations of mathematical ideas. The 3rd Interdisciplinary Scientific Conference Mathematical Transgressions, Instytut Matematyki, Uniwersytet Pedagogiczny im. KEN, Kraków, 2017
- Cognitive accessibility of mathematical objects. Applications of Logic in Philosophy and the Foundations of Mathematics, XXII, Szklarska Poręba, 2017.
- Why do we believe in the intended models? Applications of Algebra in Logic and Computer Science, XXI, Zakopane, 2017.
- Intuitive explanations. ArgDiap 14, Adam Mickiewicz University, Poznań, 2016.
- On the origin of metalogical notions: the case of American Postulate Theorists. Logic and Cognition 2, Adam Mickiewicz University, Poznań, 2016.
- Famous mistakes in mathematics. Applications of Algebra in Logic and Computer Science XX, Zakopane 2016.
- Mathematical therapy (for adults). Applications of Logic to Philosophy and the Foundations of Mathematics XX, Szklarska Poręba 2015.
- Paradox resolution as a didactic tool. Mathematical Transgressions II, Cracow 2015.
- Odyssey of the mathematical mind. Applications of Algebra in Logic and Computer Science XIX, Zakopane 2015.
- Remarks on intended models of mathematical theories. Published in: Lingua Posnaniensis LIII (2), 2011.
- Inexpressible longing for the intended model. Meeting of the Group of Logic, Language and Information, Opole 2010.
