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finitism

Usually regarded as a form of CONSTRUCTIVISM in the philosophy of mathematics, emphasizing that the construction in question must be possible in finitely many steps with finitely many elements.

The views that the construction must be possible in practice (not just in principle), and that a mathematical statement only gets its sense from the way it is proved, are sometimes called ‘strict finitism’.

Also see: formalism

Source:
P Benacerraf and H Putnam, eds, Philosophy

Table of Contents

    • 0.1 Related:
  • 1 Videos
  • 2 Related Products
    • 2.1 Wittgenstein, Finitism, and the Foundations of Mathematics (Oxford Philosophical Monographs)
    • 2.2 Temporal Finitism EP
    • 2.3 Finitisms
    • 2.4 Strict Finitism and the Logic of Mathematical Applications (Synthese Library Book 355)
    • 2.5 Temporal Finitism
    • 2.6 Mechanism, Mentalism and Metamathematics: An Essay on Finitism (Synthese Library)
    • 2.7 The History of the Calculus and Its Conceptual Development (Dover Books on Mathematics)
    • 2.8 Georg Cantor: His Mathematics and Philosophy of the Infinite
    • 2.9 Axiom of Infinity
    • 2.10 Infinity, Causation, and Paradox

Related:

  • constructivism
  • formalism
  • intuitionism
  • induction
  • fact / value distinction

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