Philosophy of Mathematics

Edited by Øystein Linnebo (University of Oslo)
Assistant editor: Sam Roberts (Universität Konstanz)
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  1. School Closures as Political Mourning.Terri S. Wilson - 2019 - Philosophy of Education 75:659-665.
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    Epistemology of Mathematics
     Apriority in Mathematics
     Mathematics and the Causal Theory of Knowledge
     Mathematical Intuition
     Mathematical Proof
     Revisability in Mathematics
     Visualization in Mathematics
     Phenomenology of Mathematics
     Mathematical Methodology
     Nondeductive Methods in Mathematics
     Debunking Arguments about Mathematics
     Epistemology of Mathematics, Misc
    Ontology of Mathematics
     Mathematical Fictionalism
     Mathematical Nominalism
     Mathematical Platonism
     Mathematical Psychologism
     Mathematical Structuralism
     Mathematical Neo-Fregeanism
     Indeterminacy in Mathematics
     Debunking Arguments about Mathematics
     Indispensability Arguments in Mathematics
     Numbers
     The Nature of Sets
    Mathematical Cognition
     Mathematical Intuition
     Visualization in Mathematics
     Mathematical Cognition, Misc
     Phenomenology of Mathematics
     Numerical Cognition
    Mathematical Truth
     Analyticity in Mathematics
     Axiomatic Truth
     Objectivity Of Mathematics
     Mathematical Truth, Misc
    Set Theory
     The Nature of Sets
     Axioms of Set Theory
     Cardinals and Ordinals
     Set Theory as a Foundation
    Areas of Mathematics
     Algebra
     Analysis
     Category Theory
     Geometry
     Logic and Phil of Logic
     Number Theory
     Set Theory
     Topology
     Areas of Mathematics, Misc
    Theories of Mathematics
     Logicism in Mathematics
     Formalism in Mathematics
     Intuitionism and Constructivism
     Predicativism in Mathematics
     Mathematical Naturalism
     Mathematical Finitism
     Theories of Mathematics, Misc
    History: Philosophy of MathematicsPhil of Mathematics, Miscellaneous
     Explanation in Mathematics
     The Infinite
     The Application of Mathematics
     History of Mathematics
     Mathematical Practice
     Phil of Mathematics, General Works
     Mathematical Explanation
     Phil of Mathematics, Misc
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  2. Political Education in Context: The Promise of More Radical Agonism in 2019.Claudia W. Ruitenberg - 2019 - Philosophy of Education 75:559-564.
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    Epistemology of Mathematics
     Apriority in Mathematics
     Mathematics and the Causal Theory of Knowledge
     Mathematical Intuition
     Mathematical Proof
     Revisability in Mathematics
     Visualization in Mathematics
     Phenomenology of Mathematics
     Mathematical Methodology
     Nondeductive Methods in Mathematics
     Debunking Arguments about Mathematics
     Epistemology of Mathematics, Misc
    Ontology of Mathematics
     Mathematical Fictionalism
     Mathematical Nominalism
     Mathematical Platonism
     Mathematical Psychologism
     Mathematical Structuralism
     Mathematical Neo-Fregeanism
     Indeterminacy in Mathematics
     Debunking Arguments about Mathematics
     Indispensability Arguments in Mathematics
     Numbers
     The Nature of Sets
    Mathematical Cognition
     Mathematical Intuition
     Visualization in Mathematics
     Mathematical Cognition, Misc
     Phenomenology of Mathematics
     Numerical Cognition
    Mathematical Truth
     Analyticity in Mathematics
     Axiomatic Truth
     Objectivity Of Mathematics
     Mathematical Truth, Misc
    Set Theory
     The Nature of Sets
     Axioms of Set Theory
     Cardinals and Ordinals
     Set Theory as a Foundation
    Areas of Mathematics
     Algebra
     Analysis
     Category Theory
     Geometry
     Logic and Phil of Logic
     Number Theory
     Set Theory
     Topology
     Areas of Mathematics, Misc
    Theories of Mathematics
     Logicism in Mathematics
     Formalism in Mathematics
     Intuitionism and Constructivism
     Predicativism in Mathematics
     Mathematical Naturalism
     Mathematical Finitism
     Theories of Mathematics, Misc
    History: Philosophy of MathematicsPhil of Mathematics, Miscellaneous
     Explanation in Mathematics
     The Infinite
     The Application of Mathematics
     History of Mathematics
     Mathematical Practice
     Phil of Mathematics, General Works
     Mathematical Explanation
     Phil of Mathematics, Misc
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  3. #NeverAgainMSD Student Activism: A Response to Ruitenberg’s “Educating Political Adversaries”.Kathleen Knight Abowitz & Dan Mamlok - 2019 - Philosophy of Education 75:544-558.
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    Epistemology of Mathematics
     Apriority in Mathematics
     Mathematics and the Causal Theory of Knowledge
     Mathematical Intuition
     Mathematical Proof
     Revisability in Mathematics
     Visualization in Mathematics
     Phenomenology of Mathematics
     Mathematical Methodology
     Nondeductive Methods in Mathematics
     Debunking Arguments about Mathematics
     Epistemology of Mathematics, Misc
    Ontology of Mathematics
     Mathematical Fictionalism
     Mathematical Nominalism
     Mathematical Platonism
     Mathematical Psychologism
     Mathematical Structuralism
     Mathematical Neo-Fregeanism
     Indeterminacy in Mathematics
     Debunking Arguments about Mathematics
     Indispensability Arguments in Mathematics
     Numbers
     The Nature of Sets
    Mathematical Cognition
     Mathematical Intuition
     Visualization in Mathematics
     Mathematical Cognition, Misc
     Phenomenology of Mathematics
     Numerical Cognition
    Mathematical Truth
     Analyticity in Mathematics
     Axiomatic Truth
     Objectivity Of Mathematics
     Mathematical Truth, Misc
    Set Theory
     The Nature of Sets
     Axioms of Set Theory
     Cardinals and Ordinals
     Set Theory as a Foundation
    Areas of Mathematics
     Algebra
     Analysis
     Category Theory
     Geometry
     Logic and Phil of Logic
     Number Theory
     Set Theory
     Topology
     Areas of Mathematics, Misc
    Theories of Mathematics
     Logicism in Mathematics
     Formalism in Mathematics
     Intuitionism and Constructivism
     Predicativism in Mathematics
     Mathematical Naturalism
     Mathematical Finitism
     Theories of Mathematics, Misc
    History: Philosophy of MathematicsPhil of Mathematics, Miscellaneous
     Explanation in Mathematics
     The Infinite
     The Application of Mathematics
     History of Mathematics
     Mathematical Practice
     Phil of Mathematics, General Works
     Mathematical Explanation
     Phil of Mathematics, Misc
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  4. Going “to the Limit” of Political Liberalism.Brett Bertucio - 2019 - Philosophy of Education 75:519-523.
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    Epistemology of Mathematics
     Apriority in Mathematics
     Mathematics and the Causal Theory of Knowledge
     Mathematical Intuition
     Mathematical Proof
     Revisability in Mathematics
     Visualization in Mathematics
     Phenomenology of Mathematics
     Mathematical Methodology
     Nondeductive Methods in Mathematics
     Debunking Arguments about Mathematics
     Epistemology of Mathematics, Misc
    Ontology of Mathematics
     Mathematical Fictionalism
     Mathematical Nominalism
     Mathematical Platonism
     Mathematical Psychologism
     Mathematical Structuralism
     Mathematical Neo-Fregeanism
     Indeterminacy in Mathematics
     Debunking Arguments about Mathematics
     Indispensability Arguments in Mathematics
     Numbers
     The Nature of Sets
    Mathematical Cognition
     Mathematical Intuition
     Visualization in Mathematics
     Mathematical Cognition, Misc
     Phenomenology of Mathematics
     Numerical Cognition
    Mathematical Truth
     Analyticity in Mathematics
     Axiomatic Truth
     Objectivity Of Mathematics
     Mathematical Truth, Misc
    Set Theory
     The Nature of Sets
     Axioms of Set Theory
     Cardinals and Ordinals
     Set Theory as a Foundation
    Areas of Mathematics
     Algebra
     Analysis
     Category Theory
     Geometry
     Logic and Phil of Logic
     Number Theory
     Set Theory
     Topology
     Areas of Mathematics, Misc
    Theories of Mathematics
     Logicism in Mathematics
     Formalism in Mathematics
     Intuitionism and Constructivism
     Predicativism in Mathematics
     Mathematical Naturalism
     Mathematical Finitism
     Theories of Mathematics, Misc
    History: Philosophy of MathematicsPhil of Mathematics, Miscellaneous
     Explanation in Mathematics
     The Infinite
     The Application of Mathematics
     History of Mathematics
     Mathematical Practice
     Phil of Mathematics, General Works
     Mathematical Explanation
     Phil of Mathematics, Misc
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  5. Religious Education and the Limits of Political Liberalism.Eric Farr - 2019 - Philosophy of Education 75:506-518.
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    Epistemology of Mathematics
     Apriority in Mathematics
     Mathematics and the Causal Theory of Knowledge
     Mathematical Intuition
     Mathematical Proof
     Revisability in Mathematics
     Visualization in Mathematics
     Phenomenology of Mathematics
     Mathematical Methodology
     Nondeductive Methods in Mathematics
     Debunking Arguments about Mathematics
     Epistemology of Mathematics, Misc
    Ontology of Mathematics
     Mathematical Fictionalism
     Mathematical Nominalism
     Mathematical Platonism
     Mathematical Psychologism
     Mathematical Structuralism
     Mathematical Neo-Fregeanism
     Indeterminacy in Mathematics
     Debunking Arguments about Mathematics
     Indispensability Arguments in Mathematics
     Numbers
     The Nature of Sets
    Mathematical Cognition
     Mathematical Intuition
     Visualization in Mathematics
     Mathematical Cognition, Misc
     Phenomenology of Mathematics
     Numerical Cognition
    Mathematical Truth
     Analyticity in Mathematics
     Axiomatic Truth
     Objectivity Of Mathematics
     Mathematical Truth, Misc
    Set Theory
     The Nature of Sets
     Axioms of Set Theory
     Cardinals and Ordinals
     Set Theory as a Foundation
    Areas of Mathematics
     Algebra
     Analysis
     Category Theory
     Geometry
     Logic and Phil of Logic
     Number Theory
     Set Theory
     Topology
     Areas of Mathematics, Misc
    Theories of Mathematics
     Logicism in Mathematics
     Formalism in Mathematics
     Intuitionism and Constructivism
     Predicativism in Mathematics
     Mathematical Naturalism
     Mathematical Finitism
     Theories of Mathematics, Misc
    History: Philosophy of MathematicsPhil of Mathematics, Miscellaneous
     Explanation in Mathematics
     The Infinite
     The Application of Mathematics
     History of Mathematics
     Mathematical Practice
     Phil of Mathematics, General Works
     Mathematical Explanation
     Phil of Mathematics, Misc
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  6. More Potent Than Political Power: Beyond Cognitive Dimensions of Democracy.Jane Blanken-Webb & Devon Almond - 2019 - Philosophy of Education 75:424-428.
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    Epistemology of Mathematics
     Apriority in Mathematics
     Mathematics and the Causal Theory of Knowledge
     Mathematical Intuition
     Mathematical Proof
     Revisability in Mathematics
     Visualization in Mathematics
     Phenomenology of Mathematics
     Mathematical Methodology
     Nondeductive Methods in Mathematics
     Debunking Arguments about Mathematics
     Epistemology of Mathematics, Misc
    Ontology of Mathematics
     Mathematical Fictionalism
     Mathematical Nominalism
     Mathematical Platonism
     Mathematical Psychologism
     Mathematical Structuralism
     Mathematical Neo-Fregeanism
     Indeterminacy in Mathematics
     Debunking Arguments about Mathematics
     Indispensability Arguments in Mathematics
     Numbers
     The Nature of Sets
    Mathematical Cognition
     Mathematical Intuition
     Visualization in Mathematics
     Mathematical Cognition, Misc
     Phenomenology of Mathematics
     Numerical Cognition
    Mathematical Truth
     Analyticity in Mathematics
     Axiomatic Truth
     Objectivity Of Mathematics
     Mathematical Truth, Misc
    Set Theory
     The Nature of Sets
     Axioms of Set Theory
     Cardinals and Ordinals
     Set Theory as a Foundation
    Areas of Mathematics
     Algebra
     Analysis
     Category Theory
     Geometry
     Logic and Phil of Logic
     Number Theory
     Set Theory
     Topology
     Areas of Mathematics, Misc
    Theories of Mathematics
     Logicism in Mathematics
     Formalism in Mathematics
     Intuitionism and Constructivism
     Predicativism in Mathematics
     Mathematical Naturalism
     Mathematical Finitism
     Theories of Mathematics, Misc
    History: Philosophy of MathematicsPhil of Mathematics, Miscellaneous
     Explanation in Mathematics
     The Infinite
     The Application of Mathematics
     History of Mathematics
     Mathematical Practice
     Phil of Mathematics, General Works
     Mathematical Explanation
     Phil of Mathematics, Misc
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  7. Salvatore Florio and Øystein Linnebo. The Many and the One. A Philosophical Study of Plural Logic.Francesca Boccuni - forthcoming - Philosophia Mathematica.
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    Epistemology of Mathematics
     Apriority in Mathematics
     Mathematics and the Causal Theory of Knowledge
     Mathematical Intuition
     Mathematical Proof
     Revisability in Mathematics
     Visualization in Mathematics
     Phenomenology of Mathematics
     Mathematical Methodology
     Nondeductive Methods in Mathematics
     Debunking Arguments about Mathematics
     Epistemology of Mathematics, Misc
    Ontology of Mathematics
     Mathematical Fictionalism
     Mathematical Nominalism
     Mathematical Platonism
     Mathematical Psychologism
     Mathematical Structuralism
     Mathematical Neo-Fregeanism
     Indeterminacy in Mathematics
     Debunking Arguments about Mathematics
     Indispensability Arguments in Mathematics
     Numbers
     The Nature of Sets
    Mathematical Cognition
     Mathematical Intuition
     Visualization in Mathematics
     Mathematical Cognition, Misc
     Phenomenology of Mathematics
     Numerical Cognition
    Mathematical Truth
     Analyticity in Mathematics
     Axiomatic Truth
     Objectivity Of Mathematics
     Mathematical Truth, Misc
    Set Theory
     The Nature of Sets
     Axioms of Set Theory
     Cardinals and Ordinals
     Set Theory as a Foundation
    Areas of Mathematics
     Algebra
     Analysis
     Category Theory
     Geometry
     Logic and Phil of Logic
     Number Theory
     Set Theory
     Topology
     Areas of Mathematics, Misc
    Theories of Mathematics
     Logicism in Mathematics
     Formalism in Mathematics
     Intuitionism and Constructivism
     Predicativism in Mathematics
     Mathematical Naturalism
     Mathematical Finitism
     Theories of Mathematics, Misc
    History: Philosophy of MathematicsPhil of Mathematics, Miscellaneous
     Explanation in Mathematics
     The Infinite
     The Application of Mathematics
     History of Mathematics
     Mathematical Practice
     Phil of Mathematics, General Works
     Mathematical Explanation
     Phil of Mathematics, Misc
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  8. Aristotelova Politika U Horizontu Mjere I odgojaAristotle’s Political Theory in the Horizon of Measure and Education.Željko Senković - 2022 - Metodicki Ogledi 29 (1):11-29.
    U članku se razmatra grčki ideal mjere, najčešće izražen pojmom sredine. To nije samo svegrčki ideal nego drevna i svevremena baština, koja je konvergirala odgoju u ujednosti ‘dobrote i ljepote’. On je življen u polisu, kao što je bio i personalna, unutarduševna težnja. U Aristotelovoj politici počelo mjere prvenstveno je vezano za balansiranje političkih poredaka, ali postoji i druga perspektiva u kojoj je više riječ o vrlini i moralnim kvalitetama aristokracije, gdje se identificira dobrog čovjeka i građanina. Taj pristup srodniji (...)
    Select appropriate categories:

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    Epistemology of Mathematics
     Apriority in Mathematics
     Mathematics and the Causal Theory of Knowledge
     Mathematical Intuition
     Mathematical Proof
     Revisability in Mathematics
     Visualization in Mathematics
     Phenomenology of Mathematics
     Mathematical Methodology
     Nondeductive Methods in Mathematics
     Debunking Arguments about Mathematics
     Epistemology of Mathematics, Misc
    Ontology of Mathematics
     Mathematical Fictionalism
     Mathematical Nominalism
     Mathematical Platonism
     Mathematical Psychologism
     Mathematical Structuralism
     Mathematical Neo-Fregeanism
     Indeterminacy in Mathematics
     Debunking Arguments about Mathematics
     Indispensability Arguments in Mathematics
     Numbers
     The Nature of Sets
    Mathematical Cognition
     Mathematical Intuition
     Visualization in Mathematics
     Mathematical Cognition, Misc
     Phenomenology of Mathematics
     Numerical Cognition
    Mathematical Truth
     Analyticity in Mathematics
     Axiomatic Truth
     Objectivity Of Mathematics
     Mathematical Truth, Misc
    Set Theory
     The Nature of Sets
     Axioms of Set Theory
     Cardinals and Ordinals
     Set Theory as a Foundation
    Areas of Mathematics
     Algebra
     Analysis
     Category Theory
     Geometry
     Logic and Phil of Logic
     Number Theory
     Set Theory
     Topology
     Areas of Mathematics, Misc
    Theories of Mathematics
     Logicism in Mathematics
     Formalism in Mathematics
     Intuitionism and Constructivism
     Predicativism in Mathematics
     Mathematical Naturalism
     Mathematical Finitism
     Theories of Mathematics, Misc
    History: Philosophy of MathematicsPhil of Mathematics, Miscellaneous
     Explanation in Mathematics
     The Infinite
     The Application of Mathematics
     History of Mathematics
     Mathematical Practice
     Phil of Mathematics, General Works
     Mathematical Explanation
     Phil of Mathematics, Misc
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  9. Origins and Varieties of Logicism. A Foundational Journey in the Philosophy of Mathematics.Andrea Sereni & Francesca Boccuni (eds.) - 2021
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    Epistemology of Mathematics
     Apriority in Mathematics
     Mathematics and the Causal Theory of Knowledge
     Mathematical Intuition
     Mathematical Proof
     Revisability in Mathematics
     Visualization in Mathematics
     Phenomenology of Mathematics
     Mathematical Methodology
     Nondeductive Methods in Mathematics
     Debunking Arguments about Mathematics
     Epistemology of Mathematics, Misc
    Ontology of Mathematics
     Mathematical Fictionalism
     Mathematical Nominalism
     Mathematical Platonism
     Mathematical Psychologism
     Mathematical Structuralism
     Mathematical Neo-Fregeanism
     Indeterminacy in Mathematics
     Debunking Arguments about Mathematics
     Indispensability Arguments in Mathematics
     Numbers
     The Nature of Sets
    Mathematical Cognition
     Mathematical Intuition
     Visualization in Mathematics
     Mathematical Cognition, Misc
     Phenomenology of Mathematics
     Numerical Cognition
    Mathematical Truth
     Analyticity in Mathematics
     Axiomatic Truth
     Objectivity Of Mathematics
     Mathematical Truth, Misc
    Set Theory
     The Nature of Sets
     Axioms of Set Theory
     Cardinals and Ordinals
     Set Theory as a Foundation
    Areas of Mathematics
     Algebra
     Analysis
     Category Theory
     Geometry
     Logic and Phil of Logic
     Number Theory
     Set Theory
     Topology
     Areas of Mathematics, Misc
    Theories of Mathematics
     Logicism in Mathematics
     Formalism in Mathematics
     Intuitionism and Constructivism
     Predicativism in Mathematics
     Mathematical Naturalism
     Mathematical Finitism
     Theories of Mathematics, Misc
    History: Philosophy of MathematicsPhil of Mathematics, Miscellaneous
     Explanation in Mathematics
     The Infinite
     The Application of Mathematics
     History of Mathematics
     Mathematical Practice
     Phil of Mathematics, General Works
     Mathematical Explanation
     Phil of Mathematics, Misc
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  10. Reverse Mathematics.John Stillwell - 2021 - In Handbook of the History and Philosophy of Mathematical Practice. Cham: Springer.
    Reverse mathematics is a new take on an old idea: asking which axioms are necessary to prove a given theorem. This question was first asked about the parallel axiom in Euclid’s geometry and later about the axiom of choice in set theory. Obviously, such questions can be asked in many fields of mathematics, but in recent decades, it has proved fruitful to focus on subsystems of second-order arithmetic, where much of mainstream mathematics resides. It has been found that many basic (...)
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    Epistemology of Mathematics
     Apriority in Mathematics
     Mathematics and the Causal Theory of Knowledge
     Mathematical Intuition
     Mathematical Proof
     Revisability in Mathematics
     Visualization in Mathematics
     Phenomenology of Mathematics
     Mathematical Methodology
     Nondeductive Methods in Mathematics
     Debunking Arguments about Mathematics
     Epistemology of Mathematics, Misc
    Ontology of Mathematics
     Mathematical Fictionalism
     Mathematical Nominalism
     Mathematical Platonism
     Mathematical Psychologism
     Mathematical Structuralism
     Mathematical Neo-Fregeanism
     Indeterminacy in Mathematics
     Debunking Arguments about Mathematics
     Indispensability Arguments in Mathematics
     Numbers
     The Nature of Sets
    Mathematical Cognition
     Mathematical Intuition
     Visualization in Mathematics
     Mathematical Cognition, Misc
     Phenomenology of Mathematics
     Numerical Cognition
    Mathematical Truth
     Analyticity in Mathematics
     Axiomatic Truth
     Objectivity Of Mathematics
     Mathematical Truth, Misc
    Set Theory
     The Nature of Sets
     Axioms of Set Theory
     Cardinals and Ordinals
     Set Theory as a Foundation
    Areas of Mathematics
     Algebra
     Analysis
     Category Theory
     Geometry
     Logic and Phil of Logic
     Number Theory
     Set Theory
     Topology
     Areas of Mathematics, Misc
    Theories of Mathematics
     Logicism in Mathematics
     Formalism in Mathematics
     Intuitionism and Constructivism
     Predicativism in Mathematics
     Mathematical Naturalism
     Mathematical Finitism
     Theories of Mathematics, Misc
    History: Philosophy of MathematicsPhil of Mathematics, Miscellaneous
     Explanation in Mathematics
     The Infinite
     The Application of Mathematics
     History of Mathematics
     Mathematical Practice
     Phil of Mathematics, General Works
     Mathematical Explanation
     Phil of Mathematics, Misc
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  11. What is the Political? A View From the “Global South”.Rochona Majumdar - 2022 - History and Theory 61 (2):321-329.
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    Epistemology of Mathematics
     Apriority in Mathematics
     Mathematics and the Causal Theory of Knowledge
     Mathematical Intuition
     Mathematical Proof
     Revisability in Mathematics
     Visualization in Mathematics
     Phenomenology of Mathematics
     Mathematical Methodology
     Nondeductive Methods in Mathematics
     Debunking Arguments about Mathematics
     Epistemology of Mathematics, Misc
    Ontology of Mathematics
     Mathematical Fictionalism
     Mathematical Nominalism
     Mathematical Platonism
     Mathematical Psychologism
     Mathematical Structuralism
     Mathematical Neo-Fregeanism
     Indeterminacy in Mathematics
     Debunking Arguments about Mathematics
     Indispensability Arguments in Mathematics
     Numbers
     The Nature of Sets
    Mathematical Cognition
     Mathematical Intuition
     Visualization in Mathematics
     Mathematical Cognition, Misc
     Phenomenology of Mathematics
     Numerical Cognition
    Mathematical Truth
     Analyticity in Mathematics
     Axiomatic Truth
     Objectivity Of Mathematics
     Mathematical Truth, Misc
    Set Theory
     The Nature of Sets
     Axioms of Set Theory
     Cardinals and Ordinals
     Set Theory as a Foundation
    Areas of Mathematics
     Algebra
     Analysis
     Category Theory
     Geometry
     Logic and Phil of Logic
     Number Theory
     Set Theory
     Topology
     Areas of Mathematics, Misc
    Theories of Mathematics
     Logicism in Mathematics
     Formalism in Mathematics
     Intuitionism and Constructivism
     Predicativism in Mathematics
     Mathematical Naturalism
     Mathematical Finitism
     Theories of Mathematics, Misc
    History: Philosophy of MathematicsPhil of Mathematics, Miscellaneous
     Explanation in Mathematics
     The Infinite
     The Application of Mathematics
     History of Mathematics
     Mathematical Practice
     Phil of Mathematics, General Works
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  12. Mathematical and Non-Causal Explanations: An Introduction.Daniel Kostić - 2019 - Perspectives on Science 1 (27):1-6.
    In the last couple of years, a few seemingly independent debates on scientific explanation have emerged, with several key questions that take different forms in different areas. For example, the questions what makes an explanation distinctly mathematical and are there any non-causal explanations in sciences (i.e., explanations that don’t cite causes in the explanans) sometimes take a form of the question of what makes mathematical models explanatory, especially whether highly idealized models in science can be explanatory and in virtue of (...)
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  13. What is Political Philosophy?Matthew T. Jeffers - 2022 - Philosophical Quarterly 72 (3):785-788.
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  14. Hacia una interpretación semiótica de los signos matemáticos.Miguel Ariza - 2007 - Mathesis 2 (2):227-251.
    El análisis de las propiedades geométricas de las configuraciones finitas ha sido uno de los objetivos fundamentales del estudio de las diversas geometrías discretas y de la geometría combinatoria. Este artículo propone plantear la posibilidad de una elucidación de lo matemático desde una perspectiva derivada de las ‘matemáticas en acción’ y no desde una concepción ‘analítico gramatical’ de sus fundamentos, y establecer, al menos, un mínimo umbral de validez, que articule una interpretación semiótica de los signos matemáticos, a través del (...)
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  15. Noesis, semiosis y matemáticas.Miguel Ariza - 2009 - Mathesis 4 (2):203-220.
    El presupuesto según el cual el contenido de una manifestación compleja está en función de los contenidos de sus partes componentes, expresa claramente una intuición que solemos tener sobre lo múltiple; implica una reflexión sobre la relación entre el todo y las partes que lo componen; involucra una teoría de las multiplicidades que entraña atributos de naturaleza matemática; presenta el problema de cómo los seres humanos nos relacionamos con los entornos del mundo para generar unidad de sentido. La significación es (...)
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  16. Political Liberalism for Feminists.Kyla Ebels-Duggan - 2022 - Analysis 82 (1):180-190.
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  17. How Political is Republicanism? Walking the Fine Line Between Moralism and Realism.Dorothea Gädeke - 2022 - Critical Review of International Social and Political Philosophy 25 (4):604-615.
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  18. Mathematics is Ontology? A Critique of Badiou's Ontological Framing of Set Theory.Roland Bolz - 2020 - Filozofski Vestnik 2 (41):119-142.
    This article develops a criticism of Alain Badiou’s assertion that “mathematics is ontology.” I argue that despite appearances to the contrary, Badiou’s case for bringing set theory and ontology together is problematic. To arrive at this judgment, I explore how a case for the identification of mathematics and ontology could work. In short, ontology would have to be characterised to make it evident that set theory can contribute to it fundamentally. This is indeed how Badiou proceeds in Being and Event. (...)
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  19. Astronomy, Geometry, and Logic, Rev. 1c: An Ontological Proof of the Natural Principles That Enable and Sustain Reality and Mathematics.Michael Lucas Monterey & Michael Lucas-Monterey - manuscript
    The latest draft (posted 05/14/22) of this short, concise work of proof, theory, and metatheory provides summary meta-proofs and verification of the work and results presented in the Theory and Metatheory of Atemporal Primacy and Riemann, Metatheory, and Proof. In this version, several new and revised definitions of terms were added to subsection SS.1; and many corrected equations, theorems, metatheorems, proofs, and explanations are included in the main text. The body of the text is approximately 18 pages, with 3 sections; (...)
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  20. Some Paradoxes of Infinity Revisited.Yaroslav Sergeyev - 2022 - Mediterranian Journal of Mathematics 19:143.
    In this article, some classical paradoxes of infinity such as Galileo’s paradox, Hilbert’s paradox of the Grand Hotel, Thomson’s lamp paradox, and the rectangle paradox of Torricelli are considered. In addition, three paradoxes regarding divergent series and a new paradox dealing with multiplication of elements of an infinite set are also described. It is shown that the surprising counting system of an Amazonian tribe, Pirah ̃a, working with only three numerals (one, two, many) can help us to change our perception (...)
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  21. JOHN PHILOPONUS CONTRA ARISTOTLE: The Emergence of Consciousness in Light of Contemporary Cosmology and Philosophy.Scott D. G. Ventureyra - 2020 - Science Et Esprit 72 (1-2):137-156.
    The objective of this paper is to examine the thought of John Philoponus contra Aristotle, as it pertains to consciousness and its emergence, in light of both contemporary cosmology and philosophy. It will be argued that in an eternal universe the emergence of consciousness is an impossibility. The inspiration for this line of reasoning is found in Philoponus’ sixth century arguments against Aristotle on the eternity of the world. It will be shown that much of Philoponus’ argumentation is corroborated by (...)
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  22. On Number-Set Identity: A Study.Sean C. Ebels-Duggan - forthcoming - Philosophia Mathematica.
    Benacerraf’s 1965 multiple-reductions argument depends on what I call ‘deferential logicism’: his necessary condition for number-set identity is most plausible against a background Quineanism that allows autonomy of the natural number concept. Steinhart’s ‘folkist’ sufficient condition on number-set identity, by contrast, puts that autonomy at the center — but fails for not taking the folk perspective seriously enough. Learning from both sides, we explore new conditions on number-set identity, elaborating a suggestion from Wright.
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  23. Logic, Philosophy of Mathematics, and Their History: Essays in Honor of W. W. Tait.Erich H. Reck (ed.) - 2018 - College Publications.
    In a career that spans 60 years so far, W.W. Tait has made many highly influential contributions to logic, the philosophy of mathematics, and their history. The present collection of new essays - contributed by former students, colleagues, and friends - is a Festschrift, i.e., a celebration of his life and work. The essays address a variety of themes prominent in his work or related to it. The collection starts with an introduction in which Tait's contributions are sketched and put (...)
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  24. Wayne C. Myrvold. Beyond Chance and Credence: A Theory of Hybrid Probabilities.Daniel A. Herrmann & David Peter Wallis Freeborn - forthcoming - Philosophia Mathematica.
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  25. Review of Floyd and Mühlhölzer on Wittgenstein's Annotations to Hardy. [REVIEW]Juliette Kennedy - forthcoming - Philosophia Mathematica.
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  26. Geoffrey Hellman. Mathematics and Its Logics: Philosophical Essays.Chris Scambler - forthcoming - Philosophia Mathematica.
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  27. The Body at the Receiving End of Political Power. An Interview with Bagryana Popov.Juliane Römhild - 2022 - Thesis Eleven 169 (1):98-111.
    The text of this interview is based on a conversation between Bagryana Popov and Juliane Römhild on 1 September 2021. In this interview, Bagryana discusses two works which unite her research into political trauma and site-specific performance in the context of political repression under the communist regime in Bulgaria. For her choreography He is not here and the performance event Traces Bagryana returned to Sofia, the city of her birth, to explore her own family history and her grandfather’s incarceration as (...)
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  28. The History of Political Thought Above All.Cesare Cuttica - 2022 - Hobbes Studies 35 (1):7-22.
    Well-known for his work on absolutism, divine right theory, and his contextual reading of Hobbes’ ideas, Sommerville also published successful critical editions of Sir Robert Filmer and King James vi and I’s political writing. Sommerville’s engagement in key historiographical debates on early- modern British history, involving “opposing camps” of revisionists and post-revisionists, is less explored. Here, I focus on the question whether pre-Civil War England was immune to ideological conflict or, instead, featured a confrontation between King and Parliament based on (...)
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  29. Ideological Context and the Study of Political Theory.Xinzhi Zhao - 2022 - Hobbes Studies 35 (1):23-35.
    This paper recounts my encounter with the ideological context of Hobbes’s system as a graduate student in political theory through the teaching and scholarship of Professor Johann Sommerville. This encounter made me recognize that political theorists should study not only systems of political philosophy but also their ideological contexts, whose primary components are not “languages” but ideas and arguments deployed in debates concerning issues of political legitimacy of a particular time. Specifically, I realized that incorporating ideological contexts into the study (...)
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  30. Philosophy of Mathematics and Economics: Image, Context and Perspective.Thomas A. Boylan & Paschal F. O'Gorman - 2018 - Routledge.
    Economic methodology has been dominated by developments in the philosophy of science. This book's central thesis is that a great deal can be gained by refocusing attention on developments in the philosophy of mathematics, in particular those that took place over the course of the twentieth century. In this book the authors argue that a close examination of the major developments in the philosophy of mathematics both deepens and enriches our understanding of the formalisation of economics, while also offering novel (...)
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  31. The Infinite: Third Edition.A. W. Moore - 2018 - Routledge.
    This third edition of The Infinite includes a new part 'Infinity Superseded' which contains two new chapters refining Moore's ideas through a re-examination of the ideas of Spinoza, Hegel, and Nietzsche. Much of this is heavily influenced by the work of Deleuze. There is also a new technical appendix on still unresolved issues about different infinite sizes.
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  32. Strengthening the Russellian Argument Against Absolutely Unrestricted Quantification.Laureano Luna - 2022 - Synthese 200 (3):1-13.
    The Russellian argument against the possibility of absolutely unrestricted quantification can be answered by the partisan of that quantification in an apparently easy way, namely, arguing that the objects used in the argument do not exist because they are defined in a viciously circular fashion. We show that taking this contention along as a premise and relying on an extremely intuitive Principle of Determinacy, it is possible to devise a reductio of the possibility of absolutely unrestricted quantification. Therefore, there are (...)
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  33. Critical Studies/Book Reviews.Daniel A. Herrmann & David Peter Wallis Freeborn - forthcoming - Philosophia Mathematica.
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  34. Critical Studies/Book Reviews.Juliette Kennedy - forthcoming - Philosophia Mathematica.
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  35. Critical Studies/Book Reviews.Chris Scambler - forthcoming - Philosophia Mathematica.
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  36. Mark Balaguer. Metaphysics, Sophistry, and Illusion: Towards a Widespread Non-Factualism.Graham Priest - 2022 - Philosophia Mathematica 30 (1):117-120.
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  37. On the Depth of Gödel’s Incompleteness Theorems.Yong Cheng - forthcoming - Philosophia Mathematica.
    ABSTRACT We use Gödel’s incompleteness theorems as a case study for investigating mathematical depth. We examine the philosophical question of what the depth of Gödel’s incompleteness theorems consists in. We focus on the methodological study of the depth of Gödel’s incompleteness theorems, and propose three criteria to account for the depth of the incompleteness theorems: influence, fruitfulness, and unity. Finally, we give some explanations for our account of the depth of Gödel’s incompleteness theorems.
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  38. Vieri Benci and Mauro Di Nasso. How to Measure the Infinite: Mathematics with Infinite and Infinitesimal Numbers.Sylvia Wenmackers - 2022 - Philosophia Mathematica 30 (1):130-137.
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  39. Paul Weingartner and Hans-Peter Leeb, Eds, Kreisel’s Interests: On the Foundations of Logic and Mathematics.Dag Prawitz - 2022 - Philosophia Mathematica 30 (1):121-126.
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  40. Paul Rusnock and Jan Šebestík. Bernard Bolzano: His Life and His Work.Sandra Lapointe - 2022 - Philosophia Mathematica 30 (1):138-140.
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  41. Carl J. Posy. Mathematical Intuitionism.Roy T. Cook - 2022 - Philosophia Mathematica 30 (1):111-116.
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  42. Stefania Centrone, Deborah Kant, and Deniz Sarikaya, Eds, Reflections on the Foundations of Mathematics: Univalent Foundations, Set Theory, and General Thoughts.Hans-Christoph Kotzsch - 2022 - Philosophia Mathematica 30 (1):88-102.
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  43. The Pragmatics of Resistance: Framing Anti-Blackness and the Limits of Political Ontology.David Kline - 2017 - Critical Philosophy of Race 5 (1):51-69.
    This article argues that Frank B. Wilderson's political ontology can be read as both a critique and a radicalization of Giorgio Agamben's formal political-ontological framework constructed around the two extreme poles of sovereignty and bare life. Wilderson critiques and expands Agamben's framework by locating the zero point of political abjection not within bare life, which is still implicated within the ontological zone of Human being by way of an included exclusion, but within Black social death, which is cut off absolutely (...)
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  44. The Political Phenomenology of Banbiantian (Half the Sky): Reconstruction of Women’s Status and Role in New China.Haizhou Wang - 2020 - Cultura 17 (2):121-136.
    : The proclamation Banbiantian, which was proposed during the Mao era, is a vivid and straightforward appellation of women in new China that has gained popularity in national and folk discourses over the past seven decades. This article disassembles this term into three elements — quotation marks, Banbian, and tian — to conduct a political phenomenological analysis. By exploring and sorting reports related to Banbiantian in Renmin ribao, this article reflects on changes in relation to status and role of women (...)
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  45. The Linguistic Approach in the Study of Modernity: Political Interpretation on the Methodology of Koselleck’s Begriffsgeshichte.Fengyang Zhang - 2020 - Cultura 17 (2):179-190.
    : The study of German Begriffsgeschichte by scholars such as Koselleck focuses on historiography, but its basic hypotheses are highly philosophical. One of its tasks is to explore modernity from the perspective of language, hence can be understood as the “linguistic approach” in the study of modernity. As for the origin of the theory, the conceptual evolution of Verzeitlichung, Demokratisierung, Politisierung, and Ideologisierbarkeit proposed by Koselleck was not only largely affected by Gadamer’s hermeneutics and Heidegger’s existential phenomenology but also deeply (...)
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