Open future and modal anti-realism

Open future is incompatible with realism about possible worlds. Since realistically conceived (concrete or abstract) possible worlds are maximal in the sense that they contain/represent the full history of a possible spacetime, past and future included, if such a world is actual now, the future is fully settled now, which rules out openness. The kind of metaphysical indeterminacy required for open future is incompatible with the kind of maximality which is built into the concept of possible worlds. The paper discusses various modal realist responses and argues that they provide ersatz openness only, or they lead to incoherence, or they render the resulting theory inadequate as a theory of modality. The paper also considers various accounts of the open future, including rejection of bivalence, supervaluationism, and the ‘thin red line’ view (TRL), and claims that a version of (TRL) can avoid the incompatibility problem, but only at the cost of deflating the notion of openness.     

Epistemological motivations for anti-realism

Anti-realism is often claimed to be preferable to realism on epistemological grounds: while realists have difficulty explaining how we can ever know claims if we are realists about it, anti-realism faces no analogous problem. This paper focuses on anti-realism about normativity to investigate this alleged advantage to anti-realism in detail. I set up a framework in which a version of anti-realism explains a type of modal reliability that appears to be epistemologically promising, and plausibly explains the appearance of an epistemological advantage to realism. But, I argue, this appearance is illusory, and on closer investigation the anti-realist view does not succeed in explaining the presence of familiar epistemological properties for normative belief like knowledge or the absence of defeat. My conclusion on the basis of this framework is that there is a tension in the anti-realist view between the urge to idealize the conditions in which normative beliefs ground normative facts, and a robust kind of reliability that normative belief can have if the anti-realist resists these idealizations.     

Coherence,anti-realism and the Vienna Circle

Some members of the Vienna Circle argued for a coherence theory of truth. Their coherentism is immune to standard objections. Most versions of coherentism are unable to show why a sentence cannot be true even though it fails to cohere with a system of beliefs. That is, it seems that truth may transcend what we can be warranted in believing. If so, truth cannot consist in coherence with a system of beliefs. The Vienna Circle's coherentists held, first, that sentences are warranted by coherence with a system of beliefs. Next they drew upon their verification theory of meaning, a consequence of which is that truth cannot transcend what can be warranted. The coherence theory of knowledge and verificationism together entail that truth cannot transcend what can be warranted by coherence with a system of beliefs. The Vienna Circle's argument for coherentism is strong and anticipates contemporary anti-realism.     

Success and truth in the realism/anti-realism debate

I aim to clarify the relationship between the success of a theory and the truth of that theory. This has been a central issue in the debates between realists and anti-realists. Realists assume that success is a reliable indicator of truth, but the details about the respects in which success is a reliable indicator or test of truth have been largely left to our intuitions. Lewis (Synthese 129:371–380, 2001) provides a clear proposal of how success and truth might be connected, comparing a test of success of our theories to medical tests with low rates of false positives and false negatives. But, contrary to what Lewis claims, I argue that it is not enough for the realist to undercut the claim that success is not a reliable indicator of truth. Rather, the realist must show that our current best theories are likely true. Further, I argue that tests in science are unlike medical tests in a number of important ways.     

Radical anti-realism, Wittgenstein and the length of proofs

After sketching an argument for radical anti-realism that does not appeal to human limitations but polynomial-time computability in its definition of feasibility, I revisit an argument by Wittgenstein on the surveyability of proofs, and then examine the consequences of its application to the notion of canonical proof in contemporary proof-theoretical-semantics.     

"不可或缺性论证"与反实在论数学哲学

The indispensability argument for abstract mathematical entities has been an important issue in the philosophy of mathematics. The argument relies on several assumptions. Some objections have been made against these assumptions, but there are several serious defects in these objections. Ameliorating these defects leads to a new anti-realistic philosophy of mathematics, mainly: first, in mathematical applications, what really exist and can be used as tools are not abstract mathematical entities, but our inner representations that we create in imagining abstract mathematical entities; second, the thoughts that we create in imagining infinite mathematical entities are bounded by external conditions. __________ Translated from Zhexue Yanjiu 哲学研究 (Philosophical Researches), 2006, (8): 74–83     

Negation,anti-realism,and the denial defence

Here is one argument against realism. (1) Realists are committed to the classical rules for negation. But (2) legitimate rules of inference must conserve evidence. And (3) the classical rules for negation do not conserve evidence. So (4) realism is wrong. Most realists reject 2. But it has recently been argued that if we allow denied sentences as premisses and conclusions in inferences we will be able to reject 3. And this new argument against 3 generates a new response to the anti-realist argument: keep 1 and 2, avoiding 4 by rejecting 3. My aim in this paper is to see how much work in the fight against anti-realism this new response can really do. I argue that there is a powerful objection to the response: 2 is in tension with the claim that denied sentences can be premisses and conclusions in inferences. But I show that, even given this objection, the new response has an important role to play.     

Nietzsche on taste: epistemic privilege and anti-realism

Abstract

The central aim of this article is to argue that Nietzsche takes his own taste, and those in the relevant sense similar to it, to enjoy a kind of epistemic privilege over their rivals. Section 2 will examine the textual evidence for an anti-realist reading of Nietzsche on taste. Section 3 will then provide an account of taste as an ‘affective evaluative sensibility’ (AES), asking whether taste so understood supports an anti-realist reading. I will argue that it does not and that we should resist construing the affects (Affeke), which constitute taste for Nietzsche, as no more than Humean subjective preferences. Section 4 will then consider passages in which Nietzsche makes a connection between taste and epistemic considerations, suggesting that he appears to situate the epistemic privilege of his taste in a more fundamental method of evaluative disclosure, namely pre-reflective affective responses. Finally, Section 5 will argue that we can make sense of how such affective responses could provide us with evaluative knowledge by narrowing the scope of the objects of Nietzsche’s taste to other affective-evaluative states, such that the affective responses are meta-affective evaluations. On the basis of this idea, I construct a theory of meta-affective responses providing their subjects with access to the intrinsic phenomenal value of other affective-evaluative states, and then go on to show how Nietzsche can be read as applying this theory in a number of passages.     

On arguing for the existence of god as a synthesis between realism and anti-realism

This article examines a somewhat neglected argument for the existence of God which appeals to the divine perspective as a way of reconciling the conflicting claims of realism and anti-realism. Six representative examples are set out (Berkeley, Ferrier, T. H. Green, Josiah Royce, Gordon Clark and Michael Dummett), reasons are considered why this argument has received less attention than it might, and a brief sketch given of the most promising way in which it might be developed.     

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.