In the scholarship on Wittgenstein’s later philosophy of mathematics, the dominant interpretation is a theoretical one that ascribes to Wittgenstein some type of ‘ism’ such as radical verificationism or anti-realism. Essentially, he is supposed to provide a positive account of our mathematical practice based on some basic assertions. However, I claim that he should not be read in terms of any ‘ism’ but instead should be read as examining philosophical pictures in the sense of unclear conceptions. The contrast here is (...) that basic assertions that frame philosophical ‘isms’ are propositional such that they are subject to normal argumentative evaluation, while pictures in Wittgenstein’s sense are non-propositional—they lack a clear truth condition. They, therefore, need clarification rather than argumentation. In this paper, I provide a detailed analysis of Wittgenstein’s treatment of philosophical pictures with special focus on his argument on contradiction. I begin by explaining the problem with this trend of theoretical interpretation, taking Steve Gerrard’s otherwise excellent interpretation as a representative example and pointing out why it is problematic. Next, I will argue that those problems do not arise if we take Wittgenstein’s task as the clarification of philosophical pictures. I do this, first, by explaining Wittgenstein’s method using his argument concerning the Augustinian Picture in Philosophical Investigations and then pointing out that the same method can be identified in the crucial arguments in his philosophy of mathematics. Finally, in order to connect my interpretation with the current scholarship, I will explain the relation of my interpretation with those of New Wittgensteinian scholars. (shrink)

The lingering mystery of John Rawls’s reflective equilibrium is that its nature is unclear. Rawls at times suggests he is merely describing people’s conceptions of justice, whereas at other times he implies that his reflective equilibrium is a way to justify his conception of justice. Faced with seemingly conflictual passages, most scholars privilege the justificatory ones. However, I argue that this is not an effective strategy because understanding how the descriptive and justificatory aspects of reflective equilibrium fit together is the (...) key to unlocking its nature and actual force. This paper compares Rawls’s method to the philosophical method of later Wittgenstein in his so-called private language argument to argue how the descriptive and justificatory aspects of Rawls’s reflective equilibrium fit together. In my view, both philosophers’ methods are descriptive clarifications of our unclear conceptions. However, their clarification is not just descriptive; they also aim at their readers achieving enlightenment. Importantly, I argue, that enlightenment offers us justification of the conception resulting from their clarification. Hence, their methods are justificatory as well. Finally, I claim that this way of understanding reflective equilibrium makes us realise how Rawls could respond to a prominent objection to it. (shrink)

Although certainty is a fundamental notion in epistemology, it is less studied in contemporary analytic epistemology than other important notions such as knowledge or justification. This paper focuses on Wittgensteinian certainty, according to which the very basic dimension of our epistemic practices, the elements of our world-pictures, are objectively certain, in that we cannot legitimately doubt them. The aim of the paper is to offer the best philosophical way to clarify Wittgensteinian certainty, in a way that is consonant with Wittgenstein's (...) fundamental insights. The paper critiques two alternative proposals for clarifying Wittgensteinian certainty that are philosophically unsatisfying: the rule view and the proposition view. Finally, it instead shows how viewing world-pictures as pictures, in the sense of unclear conceptions, is a more philosophically fruitful approach to understanding world-pictures. (shrink)