The motivating question of this paper is: ‘How are our beliefs in the theorems of mathematics justified?’ This is distinguished from the question ‘How are our mathematical beliefs reliably true?’ We examine an influential answer, outlined by Russell, championed by Gödel, and developed by those searching for new axioms to settle undecidables, that our mathematical beliefs are justified by ‘intuitions’, as our scientific beliefs are justified by observations. On this view, axioms are analogous to laws of nature. They are postulated (...) to best systematize the data to be explained. We argue that there is a decisive difference between the cases. There is agreement on the data to be systematized in the scientific case that has no analog in the mathematical one. There is virtual consensus over observations, but conspicuous dispute over intuitions. In this respect, mathematics more closely resembles stereotypical philosophy. We conclude by distinguishing two ideas that have long been associated -- realism (the idea that there is an independent reality) and objectivity (the idea that in a disagreement, only one of us can be right). We argue that, while realism is true of mathematics and philosophy, these domains fail to be objective. One upshot of the discussion is that even questions of fundamental physics may fail to be objective in roughly the sense that the question, ‘Is the Parallel Postulate is true?’, understood as one of pure mathematics, fails to be. Another is a kind of pragmatism. Factual questions in mathematics, modality, logic, and evaluative areas go proxy for non-factual practical ones. -/- . (shrink)

Avner Baz argues that the philosophical method of cases presupposes a problematic view of language and linguistic competence, namely what he calls "the atomistic-compositional view". Combining key elements of social pragmatism and contextualism, Baz presents a view of language and linguistic competence, which he takes to be more sensitive to the open-endedness of human language. On this view, there are conditions for the "normal" and "felicitous" use of human words, conditions that Baz thinks are lacking in the context of (...) the philosophical method of cases, and which make the question that philosophers are prone to ask in that context and the answers they give to that question to be pointless. However, in this paper, I argue as follows. First, Baz's conditions for the "normal" and "felicitous" use of human words are in tension with the open-endedness of human language and the use of human words. Second, it is not even clear that those conditions are really missing in the context of the philosophical method of cases. And third, even if we grant that those conditions are missing in that context, this does not licence his damning conclusion on the philosophical method of cases since we are not forced to embrace the view of language and linguistic competence on which that damning conclusion is plausible. This last move is secured by advancing and defending a skill or virtue-based view of language and linguistic competence inspired by the later work of Donald Davidson. (shrink)

This is the second book by Baz that aims to show that a big chunk of contemporary philosophy is fundamentally misguided. His first book, When Words Are Called For: A Defense of Ordinary Language Philosophy (2012) adopted a therapeutic approach (in the Wittgensteinian style) to problems in contemporary epistemology, arguing that when properly thought through, the way philosophers talk about ‘knowing’ that something is the case ultimately does not make sense. Baz’s goal in his second book is less therapeutic and (...) more constructive: he aims to start a methodological revolution (in the Kuhnian sense)—to shake contemporary philosophers out of the unconscious habits of normal science and provoke them into making a radical change in the methods they use to do philosophy and the basic assumptions that motivate those methods. (shrink)

This paper defends a challenge, inspired by arguments drawn from contemporary ordinary language philosophy and grounded in experimental data, to certain forms of standard philosophical practice. The challenge is inspired by contemporary philosophers who describe themselves as practicing “ordinary language philosophy”. Contemporary ordinary language philosophy can be divided into constructive and critical approaches. The critical approach to contemporary ordinary language philosophy has been forcefully developed by Avner Baz, who attempts to show that a substantial chunk of contemporary philosophy is (...) fundamentally misguided. I describe Baz’s project and argue that while there is reason to be skeptical of its radical conclusion, it conveys an important truth about discontinuities between ordinary uses of philosophically significant expressions (“know”, e.g.) and their use in philosophical thought experiments. I discuss some evidence from experimental psychology and behavioral economics indicating that there is a risk of overlooking important aspects of meaning or misinterpreting experimental results by focusing only on abstract experimental scenarios, rather than employing more diverse and more ecologically valid experimental designs. I conclude by presenting a revised version of the critical argument from ordinary language. (shrink)

[Comment] I am sympathetic to Avner de Shalit’s position that a political philosophy should incorporate public values, but I see their role differently. Philosophers of science standardly distinguish between values being introduced in the context of discovery (inputs into the investigation or arguments) and in the context of justification (acceptance or rejection of substantive claims in light of the arguments or investigation). I argue that de Shalit is wrong to put the public values in the context of discovery; with (...) respect to normative theories (such as political theories), the values should be introduced in the context of justification. [Open access]. (shrink)