Intermittently, from 1927 until 1936, Waismann had extensive conversations with Ludwig Wittgenstein about topics in philosophy of mathematics and philosophy of language. These conversations, recorded by Waismann, were published in Ludwig Wittgenstein and the Vienna Circle (1979, ed. B.F. McGuinness). Other members of the Circle (including Schlick, Rudolf Carnap, and Herbert Feigl) also spoke with Wittgenstein, but not to the extent Waismann did.
At one point in 1934, Wittgenstein and Waismann considered collaborating on a book, but these plans fell through after their philosophical differences became apparent.
Waismann later accused Wittgenstein of obscurantism because of what he considered to be his betrayal of the project of logical positivism and empirically-based explanation.[2] Ultimately the texts for the project, written or just transcribed by Waismann, were published by Gordon Baker in 2003.[3]
InIntroduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics (1936), Waismann argued that mathematical truths are true by convention rather than being necessarily (or verifiably) true. His collected lectures, The Principles of Linguistic Philosophy (1965), and How I See Philosophy (1968, ed. R. Harré), a collection of papers, were published posthumously.
Waismann introduced the concept of open texture, or porosity to describe the universal possibility of vagueness in empirical statements;[4] it is based on Wittgenstein's Philosophical Investigations, particularly Section 80.[5] According to the philosopher, even after measures have been taken to ensure that a statement is precise, there remains an inexhaustible source of vagueness due to an indefinite number of possibilities.[6] Waismann's notion of vagueness is slightly different from his concept of open texture―he explained that open texture is more like the possibility of vagueness;[7] vagueness can also be remedied so that it can be made more precise, while open texture cannot.[7]
Open texture has been found in legal philosophy through the writings of H. L. A. Hart (see Hart's "The Concept of Law about Rule Skepticism" and Waismann's article "Verifiability").[8] According to Hart, vagueness constitutes a fundamental feature of legal languages.[9] It is claimed, however, that Waismann's conceptualization has limited practical application, since it is more for the extraordinary, while Hart's view of open texture concerns the more mundane, approaching the term in the context of a particular norm.[10]
^Shanker, S., & Shanker, V. A. (1986), Ludwig Wittgenstein: critical assessments. London: Croom Helm,50-51.
^The Voices of Wittgenstein, the Vienna Circle, by Ludwig Wittgenstein and Friedrich Waismann, Transcribed, edited and with an introduction by Gordon Baker, London:Routledge, 2003. On page xvii the editor asserts that "Like Ludwig Wittgenstein und der Wiener Kreis, this book is the publication of an important part of Waismann’s Nachlass, and authorship is therefore appropriately ascribed to Waismann."
^Waismann, Frederick (1951). "Verifiability". Logic and Language. 1: 119–123 – via Blackwell.
^Tiersma, Peter Meijes; Tiersma, Peter; Solan, Lawrence (2012). The Oxford Handbook of Language and Law. Oxford: Oxford University Press. p. 149. ISBN9780199572120.
^Audi, Robert (1999). The Cambridge Dictionary of Philosophy, 2nd Edition, Robert Audi, 1999: The Cambridge Dictionary of Philosophy, Second Edition. Cambridge: Cambridge University Press. p. 632. ISBN9780521637220.
^ abFreeman, Michael; Smith, Fiona (2013). Law and Language: Current Legal Issues. Oxford: Oxford University Press. p. 132. ISBN9780199673667.
^Urbina, Sebastián (31 August 2002). Legal Method and the Rule of Law. The Hague: Kluwer Law International. p. 81. ISBN9041118705.
^Beltrán, Jordi Ferrer; Ratti, Giovanni Battista (2012). The Logic of Legal Requirements: Essays on Defeasibility. Oxford: Oxford University Press. p. 196. ISBN9780199661640.
