The Synthetic A Priori

Many philosophers regard the persistence of philosophical disputes as symptomatic of overly ambitious, ill-founded intellectual projects. There are indeed strong reasons to believe that persistent disputes in philosophy (and more generally in the discourse at large) are pointless. We call this the pessimistic view of the nature of philosophical disputes. In order to respond to the pessimistic view, we articulate the supporting reasons and provide a precise formulation in terms of the idea that the best explanation of persistent disputes entails (...) that they are pointless. We then show how to answer the pessimistic argument. Taking a well-known mathematical controversy as our paradigm example, we argue that some persistent disputes reflect substantive disagreements at the “meta-analytic” level, i.e., disagreements about the best way, among quite different candidates, to understand the topic at issue, and the best associated cluster of analytic truths one should accept concerning it. Moreover, our concrete example shows that such meta-analytic disagreements can in principle be settled and yield a genuine theoretical (as opposed to merely pragmatic) breakthrough. We conclude optimistically that persistent disputes can be an important means of fostering epistemic progress. (shrink)

There is a divide in epistemology between those who think that, for any hypothesis and set of total evidence, there is a unique rational credence in that hypothesis, and those who think that there can be many rational credences. Schultheis offers a novel and potentially devastating objection to Permissivism, on the grounds that Permissivism permits dominated credences. I will argue that Permissivists can plausibly block Schultheis' argument. The issue turns on getting clear about whether we should be certain whether our (...) credences are rational. (shrink)

We focus on Timothy Williamson’s recent attack on the epistemological significance of the a priori–a posteriori distinction, and offer an explanation of why, fundamentally, it does not succeed. We begin by setting out Williamson’s core argument, and some of the background to it and move to consider two lines of conciliatory response to it—conciliatory in that neither questions the central analogy on which Williamson's argument depends. We claim, setting aside a methodological challenge to which Williamson owes an answer, that no (...) satisfactory such reconciliation is in prospect. Rather, as we then argue, —and it is on this that we base our overall negative assessment of his argument—Williamson’s core analogy is flawed by an oversight. We conclude with some brief reflections on Williamson’s ideas about the imagination as a source of knowledge. Our principal conclusion is only that Williamson’s argument fails to perform as advertised. A constructive case for confidence, to the contrary, that the intuitive contrast between a priori and a posteriori reflects something of fundamental epistemological significance is prefigured in our final section, but will not be elaborated here. (shrink)

The purpose of this paper is to analyze the theoretical commitments of autopoietic enactivism in relation to Errol E Harris’s dialectical holism in the interest of establishing a common metaphysical ground. This will be undertaken in three stages. First, it is argued that Harris’s reasoning provides a means of developing enactivist ontology beyond discussions limited to cognitive science and into domains of metaphysics that have traditionally been avoided by phenomenologists. Here, I maintain enactivist commitments are consistent with Harris’s reasoning from (...) certain synthetic a priori first principles, to his derivation of a teleological anthropic principle, which asserts the necessity of consciousness within the cosmos. Second, it is proposed that Steven Rosen’s long-standing proposal for a topology of phenomenology may provide a common logical foundation for both Harris and enactivists regarding anthropic reasoning. Third, it is argued that a pragmatic approach to process ontology is the most rigorous way of responding to the realism/anti-realism concerns that inevitably follow. If successful, this work will update Harris’s arguments with contemporary scientific and philosophical terminology and extend enactivism from philosophy of mind, into a general phenomenological ontology. (shrink)

How is moral knowledge possible? This paper defends the anti-Humean thesis that we can acquire moral knowledge by deduction from wholly non-moral premises. According to Hume’s Law, as it has become known, we cannot deduce an ‘ought’ from an ‘is’, since it is “altogether inconceivable how this new relation can be a deduction from others, which are entirely different from it” (Hume, 1739, 3.1.1). This paper explores the prospects for a deductive theory of moral knowledge that rejects Hume’s Law.

This paper draws out and connects two neglected issues in Kant’s conception of a priori knowledge. Both concern topics that have been important to contemporary epistemology and to formal epistemology in particular: knowability and luminosity. Does Kant commit to some form of knowability principle according to which certain necessary truths are in principle knowable to beings like us? Does Kant commit to some form of luminosity principle according to which, if a subject knows a priori, then they can know that (...) they know a priori? I defend affirmative answers to both of these questions, and by considering the special kind of modality involved in Kant’s conceptions of possible experience and the essential completability of metaphysics, I argue that his combination of knowability and luminosity principles leads Kant into difficulty. (shrink)

One of the central figures of philosophy of language- John Langshaw Austin, attributes principles of causation to the mere pragmatic language. Conversely, Kant tried to construct a “free human act” which is independent from any physical determination except its innate motivations via his well-known the phenomenal / noumenal distinction. That kind of Kantian metaphysical ground which addresses to the noumenal field, he obviously tries to establish this behavioral causation again by denying Austinian style pragmatic propositions or illocutionary acts. I claimed (...) that sort of duality between Austin and Kant, creates an epistemological problem with how propositions and actions relate. From a Kantian position, it (indetermination) is overlooked by Austin's propositional doctrine, without being grounded on any universal principle, but only with propositions that embraced by speech act theory. (shrink)

Kant's philosophy promises to explain various synthetic a priori claims. Yet, as several of his commentators have noted, it is hard to see how these explanations could work unless they themselves rested on unexplained synthetic a priori claims. Since Kant appears to demand explanations for all synthetic a priori claims, it would seem that his project fails on its own terms. I argue, however, that Kant holds that explanations are required only for synthetic a priori claims about (purportedly) experience-independent entities, (...) and that his project rests on a rationalist method of reflection that justifies certain basic synthetic a priori claims. (shrink)

English title: The Problem of the Synthetic a priori Judgements According to Hermann Lotze. The present article compares Kant’s and Lotze’s concepts of synthetic judgements. Lotze’s aim is a renewing of the Kant’s solutions, what he achieves thanks to introduction of the distinction between analytic (identical) content and synthetic form of these judgements which Kant recognised as synthetic. This distinction makes possible to lay down the concept of intentional sense which has influence over Frege and Husserl.

According to the scientific ideal of modernity, the propositions of science are considered fundamentally fallible. On the other hand, science strives for objective knowledge. Kant saw in the apriori the precondition for objective knowledge. But with the new conception of science the apriori (if it is not to be only logic) has become problematic. With it, however, the objectivity of scientific knowledge is at stake. As long as one grants objectivity to scientific knowledge, the question of the apriori remains topical. (...) On the one hand, this volume wants to trace the historical roots as well as the different interpretations of the apriori, and on the other hand, it wants to ask for approaches for a contemporary reinterpretation of this basic concept. (shrink)

On rationalist infallibilism, a wide range of both (i) analytic and (ii) synthetic a priori propositions can be infallibly justified, i.e., justified in a way that is truth-entailing. In this paper, I examine the second thesis of rationalist infallibilism, what might be called ‘synthetic a priori infallibilism’. Exploring the seemingly only potentially plausible species of synthetic a priori infallibility, I reject the infallible justification of so-called self-justifying propositions.

Amongst the entities making up social reality, are there necessary relations whose necessity is not a mere reflection of the logical connections between corresponding concepts? We distinguish three main groups of answers to this question, associated with Hume and Adolf Reinach at opposite extremes, and with Searle who occupies a position somewhere in the middle. We first set forth Reinach’s views on what he calls ‘material necessities’ in the realm of social entities. We then attempt to show that Searle has (...) not identified a sustainable position somewhere between the Humean and the Reinachian extremes. This is because Searle’s position is threatened by circularity, and to steer clear of that danger it must incorporate at least some elements of Reinach’s essentialism. (shrink)

On rationalist infallibilism, a wide range of both (i) analytic and (ii) synthetic a priori propositions can be infallibly justified (or absolutely warranted), i.e., justified to a degree that entails their truth and precludes their falsity. Though rationalist infallibilism is indisputably running its course, adherence to at least one of the two species of infallible a priori justification refuses to disappear from mainstream epistemology. Among others, Putnam (1978) still professes the a priori infallibility of some category (i) propositions, while Burge (...) (1986, 1988, 1996) and Lewis (1996) have recently affirmed the a priori infallibility of some category (ii) propositions. In this paper, I take aim at rationalist infallibilism by calling into question the a priori infallibility of both analytic and synthetic propositions. The upshot will be twofold: first, rationalist infallibilism unsurprisingly emerges as a defective epistemological doctrine, and second, more importantly, the case for the a priori infallibility of one or both categories of propositions turns out to lack cogency. (shrink)

In this paper I argue that Michael Friedman's conception of the contitutive a priori faces two serious problems. These two problems show that the view collapses into a form of conventionalism.

The distinction between a priori and a posteriori knowledge has been the subject of an enormous amount of discussion, but the literature is biased against recognizing the intimate relationship between these forms of knowledge. For instance, it seems to be almost impossible to find a sample of pure a priori or a posteriori knowledge. In this paper, it will be suggested that distinguishing between a priori and a posteriori is more problematic than is often suggested, and that a priori and (...) a posteriori resources are in fact used in parallel. We will define this relationship between a priori and a posteriori knowledge as the bootstrapping relationship. As we will see, this relationship gives us reasons to seek for an altogether novel definition of a priori and a posteriori knowledge. Specifically, we will have to analyse the relationship between a priori knowledge and a priori reasoning , and it will be suggested that the latter serves as a more promising starting point for the analysis of aprioricity. We will also analyse a number of examples from the natural sciences and consider the role of a priori reasoning in these examples. The focus of this paper is the analysis of the concepts of a priori and a posteriori knowledge rather than the epistemic domain of a posteriori and a priori justification. (shrink)

Revised version of chapter in J. N. Mohanty and W. McKenna (eds.), Husserl’s Phenomenology: A Textbook, Lanham: University Press of America, 1989, 29–67. -/- Logic for Husserl is a science of science, a science of what all sciences have in common in their modes of validation. Thus logic deals with universal laws relating to truth, to deduction, to verification and falsification, and with laws relating to theory as such, and to what makes for theoretical unity, both on the side of (...) the propositions of a theory and on the side of the domain of objects to which these propositions refer. This essay presents a systematic overview of Husserl’s views on these matters as put forward in his Logical Investigations. It shows how Husserl’s theory of linguistic meanings as species of mental acts, his formal ontology of part, whole and dependence, his theory of meaning categories, and his theory of categorial intuition combine with his theory of science to form a single whole. Finally, it explores the ways in which Husserl’s ideas on these matters can be put to use in solving problems in the philosophy of language, logic and mathematics in a way which does justice to the role of mental activity in each of these domains while at the same time avoiding the pitfalls of psychologism. (shrink)

How, as Caldwell puts it, does one choose between rival systems all of which claim to rest on a priori foundations? On the nonfallibilistic conception it is difficult to make sense even of the possibility of rival systems of this sort. On the conception here defended, in contrast, the existence of such rival systems can be seen to be a perfectly natural and acceptable consequence of the just-mentioned difficulties we will often fact in coming to know even the intelligible traits (...) of reality: one adjudicates between such systems in the same way in which one adjudicates between all rival scientific hypotheses, namely via a complex mixture of empirical and a priori considerations. (shrink)

Where Humeans rule out the possibility of material or non-logical necessity, and thus of any associated knowledge a priori, the German legal philosopher Adolf Reinach defends the existence of a wide class of material necessities falling within the domain of what can be known a priori, for example in fields such as color and shape, rational psychology, law and economics. Categories such as promise or claim or obligation are, in Reinach’s view, exist as nodes in a system of necessary relations, (...) so that anyone who has experience of relevant instances of these categories is implicitly aware also of a corresponding family of relations to certain other categories – as for example that every promise implies a mutually correlated claim and obligation. Midway between the two extremes of Hume and Reinach stands Searle, who accepts necessary relations of the mentioned sorts, but sees them as human creations, following from ‘constitutive rules’ analogous to the rules of chess. We seek to demonstrate that Searle does not occupy a stable and acceptable half-way house between Hume and Reinach; that he, too, if he is to do justice to the very constitutive rules which form the center of his approach, must on pain of circularity embrace something like the Reinachian position. (shrink)

There are, familiarly, a range of distinct and competing accounts of the methodological underpinnings of Menger' s work. These include Leibnizian, Kantian, Millian, and even Popperian readings; but they include also readings of an Aristotelian sort, and I have myself made a number of contributions in clarification and defence of the latter. Not only, I have argued, does the historical situation in which Menger found himself point to the inevitability of the Aristotelian reading; this reading fits also very naturally to (...) the text of Menger's works. (shrink)

In a recent article in this journal [Phil. Math., II, v.4 (1989), n.2, pp.?- ?] J. Fang argues that we must not be fooled by A.J. Ayer (God rest his soul!) and his cohorts into believing that mathematical knowledge has an analytic a priori status. Even computers, he reminds us, take some amount of time to perform their calculations. The simplicity of Kant's infamous example of a mathematical proposition (7+5=12) is "partly to blame" for "mislead[ing] scholars in the direction of (...) neglecting the temporal element"; yet a brief instant of time is required to grasp even this simple truth. If Kant were alive today, "and if he had had a little more mathematical savvy", Fang explains, he could have used the latest example of the largest prime number (391,581 x 2 216,193 - 1) as a better example of the "synthetic a priori" character of mathematics. The reason Fang is so intent upon emphasizing the temporal character of mathematics is that he wishes to avoid "the uncritical mixing of ... a theology and a philosophy of mathematics." For "in the light of the Computer Age today: finitism is king!" Although Kant's aim was explicitly "to study the 'human' ... faculty", Fang claims that even he did not adequatley emphasize "the clearly and concretely distinguishable line of demarcation between the human and divine faculties.". (shrink)

A study of the background of Husserl’s early thinking in the perceptual psychology of Carl Stumpf and of the implications of Stumpfian ideas for an understanding of Husserl’s phenomenology. Other topics treated include the ontology of part, whole and dependence; gestalt theory; and Husserl’s notion of the synthetic a priori.