Info
Critical Philosophy of Mathematics / / by Ole Skovsmose
| Critical Philosophy of Mathematics / / by Ole Skovsmose |
| Autore | Skovsmose Ole |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (270 pages) |
| Disciplina | 150.198 |
| Collana | Advances in Mathematics Education |
| Soggetto topico |
Mathematics - Study and teaching
Mathematics - Philosophy Teachers - Training of Mathematics Education Philosophy of Mathematics Teaching and Teacher Education Filosofia de la matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031713750
3031713753 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I. Social Complexities -- Chapter 1. Modernity and the Holocaust -- Chapter 2. Glorification of Science and Mathematics -- Chapter 3. Domination by Technology -- Chapter 4. Globalised Exploitation -- Part II. Isolation and Glorification -- Chapter 5. Mathematics as Logical Tautologies -- Chapter 6. Mathematics as Formal Structures -- Chapter 7. Mathematics as Mental Acts -- Chapter 8. Mathematics as Mathematicians’ Practice -- Part III. Indefinite Constructions -- Chapter 9. Indefinite with Respect to Concepts and Proofs -- Chapter 10. Indefinite with Respect to Topics and Applications -- Chapter 11. Indefinite with Respect to Power -- Chapter 12. Indefinite with Respect to Culture -- Part IV. Ethical Challenges -- Chapter 13. A Performative Interpretation of Mathematics -- Chapter 14. Performatives -- Chapter 15. Action and Ethics -- Chapter 16. Reflective Inquiries in the Classroom. |
| Record Nr. | UNINA-9910890182503321 |
Skovsmose Ole
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Epistemological beliefs and critical thinking in mathematics : qualitative and quantitative studies with pre-service teachers / / Benjamin Rott
| Epistemological beliefs and critical thinking in mathematics : qualitative and quantitative studies with pre-service teachers / / Benjamin Rott |
| Autore | Rott Benjamin |
| Pubbl/distr/stampa | Wiesbaden, Germany : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (175 pages) |
| Disciplina | 510.1 |
| Collana | Freiburger Empirische Forschung in der Mathematikdidaktik |
| Soggetto topico |
Filosofia de la matemàtica
Pensament crític Teoria del coneixement Mathematics - Philosophy Critical thinking Knowledge, Theory of |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-658-33539-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466412803316 |
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Rott Benjamin
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| Wiesbaden, Germany : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Extended abstracts Spring 2019 : advances in the anthropological theory of the didactic / / edited by Berta Barquero [and three others]
| Extended abstracts Spring 2019 : advances in the anthropological theory of the didactic / / edited by Berta Barquero [and three others] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (227 pages) |
| Disciplina | 510.71 |
| Collana | Trends in Mathematics Ser. |
| Soggetto topico |
Mathematics - Study and teaching
Mathematics - Study and teaching - Philosophy Ensenyament de la matemàtica Filosofia de la matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-76413-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466408203316 |
| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Founding mathematics on semantic conventions / / Casper Storm Hansen
| Founding mathematics on semantic conventions / / Casper Storm Hansen |
| Autore | Hansen Casper Storm |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (259 pages) |
| Disciplina | 510.1 |
| Collana | Synthese Library |
| Soggetto topico |
Mathematics - Philosophy
Logic, Symbolic and mathematical Semantics (Philosophy) Filosofia de la matemàtica Lògica matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-88534-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Founding Mathematics on Semantic Conventions -- Preface -- Contents -- 1 Introduction -- 1.1 Overview and Guide to Partial Reading -- 2 Classical Mathematics and Plenitudinous Combinatorialism -- 2.1 Large Cardinal Axioms and Theorems of Arithmetic -- 2.2 Transfinite Ordinals -- 2.3 Transfinite Cardinals -- 2.4 The Continuum Hypothesis -- 3 Intuitionism and Choice Sequences -- 3.1 General Introduction -- 3.2 Brouwer on Freely Proceeding Choice Sequences -- 3.3 Constitution of Free Choice Sequences -- 3.4 Evaluation of Brouwer's Claim -- 3.5 Verificationism and Intuitionistic Logic -- 4 From Logicism to Predicativism -- 4.1 Frege -- 4.2 Russell -- 4.3 Weyl -- 4.4 Weyl's Failure to Include All Real Numbers -- 5 Conventional Truth -- 5.1 The Obvious Solution to the Liar Paradox -- 5.2 Conventional Truth Conditions -- 5.3 The Dogma -- 5.4 Possible Language Conventions -- 5.5 T-schemas and Expressive Strength -- 5.6 Dialectical Situation -- 5.7 The View from Nowhere -- 5.8 Comparison with Chihara's Position -- 5.9 Revenge -- 6 Semantic Conventionalism for Mathematics -- 6.1 Needs Assessment -- 6.2 Simple Arithmetic as a Conventional Language -- 6.3 Quine's Anti-Conventionalism -- 6.4 Rule-Following -- 6.5 Choice of Logic -- 7 A Convention for a Type-free Language -- 7.1 The Kripke Convention and Its Shortcomings -- 7.2 Reformulating the Kripke Convention -- 7.2.1 Collapsing Truth and Satisfaction of View-From-Nowhere Truth Conditions -- 7.2.2 Kleenification -- 7.2.3 Kripke Recursion -- 7.3 Adding a Conditional with Supervaluational Semantics -- 7.3.1 Supervaluation over All Possibilities -- 7.3.2 View-From-Nowhere Truth Conditions for the Strong Conditional -- 7.3.3 If the Supervaluation Criterion is Not Satisfied -- 7.3.4 Ensuring Quantification over All Possibilities in the Presence of Supervaluation.
7.3.5 Iteration of the Strong Conditional -- 7.3.6 Summary -- 7.4 Denoting Terms for Applied Mathematics -- 7.5 Meta-Theorems -- 8 Basic Mathematics -- 8.1 Logic -- 8.2 Natural Numbers -- 8.3 Integers -- 8.4 Rational Numbers -- 8.5 Classicality So Far -- 8.6 Classes -- 8.7 An Example of Applied Mathematics -- 9 Real Analysis -- 9.1 Functions -- 9.2 Real Numbers -- 9.3 Exponentiation -- 9.4 Completeness -- 9.5 Suprema, Infima, and Roots -- 9.6 Continuity -- 9.7 Operations on Functions -- 9.8 Differentiation -- 9.8.1 Calculating Derivatives -- 9.8.2 Uniform Differentiability -- 9.9 Integration -- 9.10 Unbounded Intervals and Piecewise Continuity -- 9.11 Completifications of Functions Generalized -- 9.12 Another Example of Applied Mathematics -- 9.13 Diagonalization -- 10 Possibility -- 10.1 All Possible Real Numbers -- 10.2 Modal Metaphysics -- 10.3 Conclusion -- References -- Index of Symbols -- General Index. |
| Record Nr. | UNISA-996466402303316 |
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Hansen Casper Storm
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Irrationality, Transcendence and the Circle-Squaring Problem : An Annotated Translation of J. H. Lambert’s Vorläufige Kenntnisse and Mémoire / / by Eduardo Dorrego López, Elías Fuentes Guillén
| Irrationality, Transcendence and the Circle-Squaring Problem : An Annotated Translation of J. H. Lambert’s Vorläufige Kenntnisse and Mémoire / / by Eduardo Dorrego López, Elías Fuentes Guillén |
| Autore | Dorrego López Eduardo |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (178 pages) |
| Disciplina | 128 |
| Collana | Logic, Epistemology, and the Unity of Science |
| Soggetto topico |
Mathematics
History Mathematics - Philosophy History of Mathematical Sciences Philosophy of Mathematics Filosofia de la matemàtica Irracionalisme (Filosofia) Transcendència (Filosofia) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-24363-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I: Antecedents -- Chapter 1. From Geometry to Analysis -- Chapter 2. The situation in the first half of the 18th century. Euler and continued fractions -- Part II: Johann Heinrich Lambert (1728—1777) -- Chapter 3. A biographical approach to Johann Heinrich Lambert -- Chapter 4. Outline of Lambert's Mémoire (1761/1768) -- Chapter 5. An annotated translation of Lambert's Mémoire (1761/1768) -- Chapter 6. Outine of Lambert's Vorläufige Kenntnisse (1766/1770) -- Chapter 6. An annotated translation of Lambert's Vorläufige Kenntnisse (1766/1770) -- Part III: The influence of Lambert's work and the development of irrational numbers -- Chapter 8. The state of irrationals until the turn of the century -- Chapter 9. Title to be set up. |
| Record Nr. | UNINA-9910682599603321 |
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Dorrego López Eduardo
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Leibniz on the Foundations of the Differential Calculus / / by Richard T. W. Arthur, David Rabouin
| Leibniz on the Foundations of the Differential Calculus / / by Richard T. W. Arthur, David Rabouin |
| Autore | Arthur Richard T. W |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025 |
| Descrizione fisica | 1 online resource (409 pages) |
| Disciplina | 510.9 |
| Altri autori (Persone) | RabouinDavid |
| Collana | Frontiers in the History of Science |
| Soggetto topico |
Mathematics
History Science - History Mathematics - Philosophy History of Mathematical Sciences History of Science Philosophy of Mathematics Història de la ciència Història de la matemàtica Filosofia de la matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031772597
3031772598 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | - Part I Interpretive Essay -- Chapter 1. Introduction -- Chapter 2. On the Metaphysics of the Continuum (1669-1676) -- Chapter 3. Mathematical Fictions -- Chapter 4. De Quadratura Arithmetica (DQA) -- Chapter 5. Infinitesimals and Existence after 1676 -- Chapter 6. Leibniz’s Mature Justifications of the Calculus -- Chapter 7. Conclusion -- Part II A selection of translations of key texts -- Chapter 8: Texts for chapter 2, On the Metaphysics of the Continuum (1669-1676) -- Chapter 9: Texts for chapter 3, Mathematical Fictions -- Chapter 10: Texts for chapter 4, De Quadratura Arithmetica (DQA) -- Chapter 11: Texts for chapter 5, Infinitesimals and Existence after 1676 -- Chapter 12: Texts for chapter 6, Leibniz’s Mature Justifications of the Calculus. |
| Record Nr. | UNINA-9910986133103321 |
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Arthur Richard T. W
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| Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Motion and genetic definitions in the sixteenth-century Euclidean tradition / / Angela Axworthy
| Motion and genetic definitions in the sixteenth-century Euclidean tradition / / Angela Axworthy |
| Autore | Axworthy Angela <1981-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (306 pages) |
| Disciplina | 516.22 |
| Collana | Frontiers in the history of science |
| Soggetto topico |
Euclid's Elements
Mathematics - France - History Mathematics - Philosophy - History Història de la matemàtica Filosofia de la matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030958176
9783030958169 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996479365703316 |
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Axworthy Angela <1981->
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| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Motion and genetic definitions in the sixteenth-century Euclidean tradition / / Angela Axworthy
| Motion and genetic definitions in the sixteenth-century Euclidean tradition / / Angela Axworthy |
| Autore | Axworthy Angela <1981-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (306 pages) |
| Disciplina | 516.22 |
| Collana | Frontiers in the history of science |
| Soggetto topico |
Euclid's Elements
Mathematics - France - History Mathematics - Philosophy - History Història de la matemàtica Filosofia de la matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030958176
9783030958169 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910574854603321 |
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Axworthy Angela <1981->
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| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Objects, structures, and logics : FilMat studies in the philosophy of mathematics / / Gianluigi Oliveri, Claudio Ternullo, Stefano Boscolo, editors
| Objects, structures, and logics : FilMat studies in the philosophy of mathematics / / Gianluigi Oliveri, Claudio Ternullo, Stefano Boscolo, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] |
| Descrizione fisica | 1 online resource (365 pages) |
| Disciplina | 510.1 |
| Collana | Boston studies in the philosophy and history of science |
| Soggetto topico |
Mathematics - Philosophy
Life sciences Humanities Filosofia de la matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-84706-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466417103316 |
| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Philosophy of Mathematics in Antiquity and in Modern Times / / by Ulrich Felgner
| Philosophy of Mathematics in Antiquity and in Modern Times / / by Ulrich Felgner |
| Autore | Felgner Ulrich |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 |
| Descrizione fisica | 1 online resource (314 pages) |
| Disciplina | 510.1 |
| Collana | Science Networks. Historical Studies |
| Soggetto topico |
Logic, Symbolic and mathematical
Geometry Mathematical Logic and Foundations Filosofia de la matemàtica Història de la matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-27304-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The concept of mathematics -- Plato's philosophy of mathematics -- The Aristotelian conception of mathematics -- The axiomatic method of Euclid -- Finitism in Greek mathematics -- The paradoxes of Zeno -- On certainty in mathematics -- The Cartesian nativism, the Prometheus myth, Augustinian illuminism, and Cartesian rationalism -- John Locke's thoughts on mathematics -- Rationalism -- Empiricism in mathematics -- Immanuel Kant's conception of mathematics -- Psychologism in mathematics -- Logicism -- The concept of "set" -- Contemporary Platonism -- The problem of non-constructive proofs of existence -- The formal and the contentual position -- Dedekind and the emergence of structuralism -- Hilbert's critical philosophy -- Epilogue -- Index of names -- Index of subjects -- Index of abbreviations. |
| Record Nr. | UNINA-9910731462303321 |
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Felgner Ulrich
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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