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Wittgenstein and logic


In his Tractatus Logico-Philosophicus Ludwig Wittgenstein (1889–1951) presents the concept of order in terms of a notational iteration that is completely logical but not part of logic. Logic for him is not the foundation of mathematical concepts but rather a purely formal way of reflecting the world that at the minimum adds absolutely no content. Order for him is not based on the concepts of logic but is instead revealed through an ideal notational series. He states that logic is “transcendental”. As such it requires an ideal that his philosophical method eventually forces him to reject. I argue that Wittgenstein’s philosophy is more dialectical than transcendental.

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Link, M. Wittgenstein and logic. Synthese 166, 41–54 (2009).

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  • Wittgenstein
  • Logic
  • Order
  • Thought
  • McDowell
  • Operation
  • Number
  • Rule