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This edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures. The discussions offered in the papers involve an in-depth investigation of, among other things, the notions of mathematical truth, proof, and grounding; and, often, a special emphasis is placed on considerations relating to mathematical practice. A distinguishing feature of the book is the multicultural nature of the community that has produced it. Philosophers, logicians, and mathematicians have all contributed high-quality articles which will prove valuable to researchers and students alike.

Logic --- Philosophy of science --- Mathematics --- Filosofia de la matemàtica --- Lògica de la matemàtica --- Filosofia de la ciència --- Continuïtat --- Metamatemàtica --- Life sciences. --- Humanities. --- Philosophy. --- Learning and scholarship --- Classical education --- Biosciences --- Sciences, Life --- Science --- Logic of mathematics --- Mathematics, Logic of

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Mathematics --- Life sciences. --- Humanities. --- Philosophy. --- Learning and scholarship --- Classical education --- Biosciences --- Sciences, Life --- Science --- Logic of mathematics --- Mathematics, Logic of --- Filosofia de la matemàtica --- Lògica de la matemàtica --- Filosofia de la ciència --- Continuïtat --- Metamatemàtica

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Explores the nature of mathematical proof in a range of historical settings, providing the first comprehensive history of proof.

Mathematics, Ancient --- Proof theory --- Logic, Symbolic and mathematical --- Ancient mathematics --- Mathematics --- Logic of mathematics --- Mathematics, Logic of --- Philosophy. --- History. --- Prova, Teoria de la. --- Matemàtica --- Lògica de la matemàtica --- Matemàtica, Lògica de la --- Demostració, Teoria de la --- Lògica matemàtica --- Filosofia. --- Histoire des mathematiques --- Logique mathematique --- Theorie de la preuve

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This edited collection covers Friedrich Waismann's most influential contributions to twentieth-century philosophy of language: his concepts of open texture and language strata, his early criticism of verificationism and the analytic-synthetic distinction, as well as their significance for experimental and legal philosophy. In addition, Waismann's original papers in ethics, metaphysics, epistemology and the philosophy of mathematics are here evaluated. They introduce Waismann's theory of action along with his groundbreaking work on fiction, proper names and Kafka's Trial. Waismann is known as the voice of Ludwig Wittgenstein in the Vienna Circle. At the same time we find in his works a determined critic of logical positivism and ordinary language philosophy, who anticipated much later developments in the analytic tradition and devised his very own vision for its future. .

Linguistics --- Analysis (Philosophy). --- Mathematics-Philosophy. --- Philosophy of Language. --- Analytic Philosophy. --- Philosophy of Mathematics. --- Philosophy. --- Analysis, Linguistic (Philosophy) --- Analysis, Logical --- Analysis, Philosophical --- Analytic philosophy --- Analytical philosophy --- Linguistic analysis (Philosophy) --- Logical analysis --- Philosophical analysis --- Philosophy, Analytical --- Language and languages --- Methodology --- Philosophy --- Logical positivism --- Semantics (Philosophy) --- Language and languages—Philosophy. --- Mathematics—Philosophy. --- Llenguatge i llengües --- Anàlisi (Filosofia) --- Matemàtica --- Lògica de la matemàtica --- Matemàtica, Lògica de la --- Anàlisi lingüística (Filosofia) --- Anàlisi filosòfica --- Anàlisi lògica --- Filosofia analítica --- Filosofia --- Metodologia --- Positivisme lògic --- Semàntica (Filosofia) --- Filosofia del llenguatge --- Llenguatge, Filosofia del --- Filosofia.

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Filosofia de la matemàtica --- Pensament crític --- Teoria del coneixement --- Epistemologia --- Gnoseologia --- Consciència --- Filosofia --- Lògica --- Metafísica --- Psicologia --- A priori --- Analogia --- Categories (Filosofia) --- Certesa --- Comparació (Psicologia) --- Comprensió --- Conceptes --- Constructivisme (Filosofia) --- Creença i dubte --- Criteri --- Empirisme --- Epistemologia genètica --- Error --- Experiència --- Explicació --- Falsabilitat --- Fenomenisme --- Idea (Filosofia) --- Identitat (Concepte filosòfic) --- Ideologia --- Immanència (Filosofia) --- Interdisciplinarietat --- Intuïció --- Justificació (Teoria del coneixement) --- Mems --- Objectivitat --- Observació (Psicologia) --- Percepció --- Pragmatisme --- Psicologia de la forma --- Qüestionament --- Racionalisme --- Raó suficient --- Relativisme --- Relativitat (Filosofia) --- Semblança (Filosofia) --- Sentit comú --- Sentits --- Sociologia del coneixement --- Subjecte (Filosofia) --- Subjectivitat --- Teoria de les ficcions --- Teoria del coneixement d'un mateix --- Universals (Filosofia) --- Valors (Filosofia) --- Apercepció --- Cognició --- Intel·ligència --- Realitat --- Transcendència (Filosofia) --- Veritat --- Esperit crìtic --- Crítica --- Pensament --- Pensament crític en els infants --- Pensament únic --- Raonament (Psicologia) --- Lògica de la matemàtica --- Filosofia de la ciència --- Continuïtat --- Metamatemàtica --- Mathematics --- Critical thinking. --- Knowledge, Theory of. --- Philosophy. --- Epistemology --- Theory of knowledge --- Philosophy --- Psychology --- Critical reflection --- Reflection (Critical thinking) --- Reflection process --- Reflective thinking --- Thinking, Critical --- Thinking, Reflective --- Thought and thinking --- Reflective learning --- Logic of mathematics --- Mathematics, Logic of --- Evaluative thinking