Wittgenstein is accused by Dummett of radical conventionalism, the view that the necessity of any statement is a matter of express linguistic convention, i.e., a decision. This conventionalism is alleged to follow, in Wittgenstein's middle period, from his 'concept modification thesis', that a proof significantly changes the sense of the proposition it aims to prove. I argue for the assimilation of this thesis to Wittgenstein's 'no-conjecture thesis' concerning mathematical statements. Both flow from a strong verificationist view of mathematics held by (...) Wittgenstein in his middle period, and this also explains his views on the law of excluded middle and consistency. Strong verificationism is central to making sense of Wittgenstein's middle-period philosophy of mathematics. (shrink)

I examine what I take to be an important consideration for the later Wittgenstein: the understanding of a rule does not exceed or transcend an understanding of explanations or instructions in the rule. I contend that this consideration plays a central role in the later Wittgenstein's views on rule-following. I first show that it serves as a key premiss in a sceptical argument concerning our ability to follow rules. I then argue that this consideration is vital to Wittgenstein's case against (...) what I describe as a realist view of rules. This realist view requires that our understanding of a rule extend beyond what can be understood from any set of instructions or explanation. For Wittgenstein, because this is to transcend publicly available means of conveying understanding, this realist's understanding is a private understanding. He calls this private source of understanding an ‘intuition’ and the main line of argument against intuition in our understanding of a rule draws, appropriately, on what is called his ‘private language argument’. In this paper, I defend a non-verificationist reading of this argument and its use against the realist so-construed. CiteULike Connotea Del.icio.us What's this? (shrink)

This book philosophically introduces the basic truths, doctrines, and principles of Buddhism. Its goal is to explain the teachings of the Buddha and of Buddhism clearly and consistently. Though the book treads beyond the Buddha’s life, including into the Abhidharma and Mahayana traditions, it remains throughout a philosophical discussion and elaboration of the Buddha’s thought. It is meant to be an accessible guide for those who have no background in Buddhism, and to be beneficial to the philosophical understanding of those (...) who do. (shrink)

The thesis argues, in lie main, for both a negative and positive agenda to Wittgenstein's rule-following remarks in both his Philosophical Investigations and Remarks on the foundations of Mathematics. The negative agenda is a sceptical agenda, different than as conceived by Kripke, that is destructive of a realist account of rules and contends that the correct application of a rule is not fully determined in an understanding of the rule. In addition to these consequences, this negative agenda opens Wittgenstein to (...) Dummett's charge of radical conventionalism. These negative consequences are left unresolved by Kripke's sceptical solution and, notably, are wrongly assessed by those that dissent from a sceptical reading. The positive agenda builds on these negative considerations arguing that although there is no determination in the understanding of a rule of what will count as a correct application in so far unconsidered situations, we are still able to follow a rule correctly. This seems to involve an epistemic leap, from an underdetermined understanding to a determinate application, and, in respect of this appearance, involves what Wittgenstein calls following a rule "blindly" in an epistemic sense. Developing this view, of following a rule blindly, involves developing an account of an alternative rational response to rule instruction, one that need not involve a role for interpreting or inferring, but all the same allows for correctness in rule application in virtue of enabling agreement in rule application. (shrink)

WITTGENSTEIN ON THE ARBITRARINESS OF GRAMMAR Michael N. Forster What is the nature of a conceptual scheme? Are there alternative conceptual schemes?