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  1. 25. Sept. 2007 · 1. Philosophy of Mathematics, Logic, and the Foundations of Mathematics. 2. Four schools. 2.1 Logicism. 2.2 Intuitionism. 2.3 Formalism. 2.4 Predicativism. 3. Platonism. 3.1 Gödel’s Platonism. 3.2 Naturalism and Indispensability. 3.3 Deflating Platonism. 3.4 Benacerraf’s Epistemological Problem. 3.5 Plenitudinous Platonism. 4.

    • Platonism

      Platonism about mathematics (or mathematical platonism) is...

  2. Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship with other human activities. Major themes that are dealt with in philosophy of mathematics include: Reality: The question is whether mathematics is a pure product of human mind or whether it has some reality by itself ...

  3. Learn about the two major questions of philosophy of mathematics: how to interpret mathematical sentences and whether abstract objects exist. Explore the arguments for and against Platonism, the view that numbers and other mathematical entities are abstract objects that exist independently of the physical world and the mind.

    • Mark Balaguer
  4. A book that explores contemporary debates in the philosophy of mathematics, such as realism, explanation, limits, notation, inconsistency, and applications. It covers various topics with clear explanations, examples, and discussion questions, and is suitable for undergraduate courses and general readers.

  5. Die Philosophie der Mathematik ist ein Bereich der theoretischen Philosophie, der anstrebt, Voraussetzungen, Gegenstand, Methode und Natur der Mathematik zu verstehen und zu erklären. Inhaltsverzeichnis. 1 Ausgangspunkt. 2 Realismus, Platonismus, Materialismus. 3 Logizismus. 4 Formalismus, Deduktivismus. 5 Strukturalismus. 6 Andere Theorien.

  6. 7. Feb. 2019 · This chapter addresses different conceptions of the philosophy of mathematics. Classic positions become characterised as two-dimensional by concentrating on ontological and epistemological issues. As an alternative, a four-dimensional philosophy of mathematics become...