I examine how Kant argues for the transcendental ideality of space. I defend a reading on which Kant accepts the ideality of space because it explains our (actual) knowledge that mathematical judgments are necessarily true. I argue that this reading is preferable over the alternative suggestion that Kant can infer the ideality of space directly from the fact that we have an a priori intuition of space. Moreover, I argue that the reading I propose does not commit Kant to (...) incoherent modal views. If we carefully distinguish between different senses of modality, the fact that our spatial form of intuition is (in some sense) contingent does not undermine the claim that this form can explain how our mathematical judgments are (in some sense) necessary. (shrink)

Many have argued that there is something that is a priori about all necessary truths, including a posteriori necessities. According to a particularly popular claim of this kind, one can know a priori whether a sentence is G-necessary, i.e. whether it is either necessarily true or necessarily false. In this paper, I identify the most plausible version of this claim and I argue that it fails. My discussion also reveals, and depends upon, an important feature of putative natural (...) kind terms that has been widely overlooked. I conclude by outlining a proposal of what is really a priori about necessities. (shrink)

The idea that the epistemology of modality is in some sense a priori is a popular one, but it has turned out to be difficult to precisify in a way that does not expose it to decisive counterexamples. The most common precisifications follow Kripke’s suggestion that cases of necessary a posteriori truth that can be known a priori to be necessary if true ‘may give a clue to a general characterization of a posteriori knowledge of necessary truths’. The (...) idea is that whether it is contingent whether p can be known a priori for at least some broad range of sentences ‘p’. Recently, Al Casullo and Jens Kipper have discussed restrictions of such principles to atomic sentences. We show that decisive counterexamples even to such dramatically restricted Kripke-style principles can be constructed using minimal logical resources. We then consider further restrictions, and show that the counterexamples to the original principles can be turned into counterexamples to the further restricted principles. We conclude that, if there are any true restrictions of Kripke-style principles, then they are so weak as to be of little epistemological interest. (shrink)

This is the second in a two part series of articles that attempt to clarify the nature and enduring relevance of Kant's concept of a priori knowledge. (For Part I, see below.) In this article I focus mainly on Saul Kripke's critique of Kant, in Naming and Necessity. I argue that Kripke draws attention to a genuine defect in Kant's epistemological framework, but that he used definitions of certain key terms that were quite different from Kant's definitions. When (...) Kripke's definitions are replaced by Kant's definitions, Kripke's account of the status of naming turns out to be a defense of analytic aposteriority as a significant classification of knowledge that Kant neglected. I also introduce here a new way of understanding such epistemological labels, as defining the perspective adopted by the knowing subject in a given situation, rather than an objective characteristic of certain propositions as such. (shrink)

Jeffrey Friedman has attempted to make a case for limiting state social engineering that is based on the skeptical epistemology of Sir Karl Popper. But Popper's epistemology is flawed, both in its rejection of a priori theorizing and its insistence on empirical falsification rather than confirmation. Classical liberalism of the sort that Friedman advocates requires, as its basis, positive knowledge of economics and social reality—not Popperian skepticism.

This article critically examines Saul Kripke's (1972) argument for the separability of necessary truths from truths known a priori, focusing on his criticism of the standard meter case presented by Wittgenstein (1968). It attempts to show that Kripke's argument is unworkable on any of several readings. Wittgenstein's own broadly conventionalist account of necessary truth is then considered in the light of the standard meter example.

There is a huge number of laments concerning the lack of intelligibility of quantum mechanics. Some ingredients of quantum mechanics may however be possibly understood by referring to first principles, that is to say to basic principles which are clear and distinct to the intuition. In particular, if we rely on a first principle called non-singularity principle, which may be viewed as a hypothesis, we claim that quantum mechanics can be viewed as the a priori consequence of a rational (...) demand. The status of the non-singularity principle, obvious to most physicists, may however be criticized, on the basis that there is no universal intuition and that any statement is in principle revisable. (shrink)

This essay reassesses the relation between Kant and Kripke on the relation between necessity and the a priori. Kripke famously argues against what he takes to be the traditional view that a statement is necessary only if it is a priori, where, very roughly, what it means for a statement to be necessary is that it is true and could not have been false and what it means for a statement to be a priori is that (...) it is knowable independently of experience. Call such a view the Entailment Thesis. Along with many Kant scholars, Kripke thinks that Kant endorses the Entailment Thesis. Thus Kripke and many others take his arguments against the Entailment Thesis to tell against Kant and to mark an important point of disagreement with him. I will argue that this is a mistake. Kant does not endorse the Entailment Thesis that Kripke and many others attribute to him. He does endorse two quite different theses concerning the relation between necessity and the a priori, as he conceives them. One is a matter of definition and the other is a very substantial philosophical thesis indeed—to establish it is the aim of the entire Critique of Pure Reason. But Kripke’s arguments against the Entailment Thesis tell against neither of Kant’s theses, as they involve crucially different conceptions of necessity and the a priori. This superficial lack of disagreement masks deep disagreements, but these result from divergent views regarding matters such as realism, modal epistemology, and philosophical methodology; views which Kant does a lot, and Kripke very little, to argue for. (shrink)

In this paper, I argue against the view there are contingent a priori truths, and against the related view that there are contingent logical truths. I will suggest that in general, predicates ›a priori‹ and ›contingent‹ are implicitly relativized to circumstances, and argue that apriority entails necessity, whenever the two are relativized to the same circumstance. I will then criticize the idea, inspired by David Kaplan's framework, of contingent contents "knowable under a priori characters." I will (...) also argue, against Kaplan, that sentences of the form »The actual F is F« do not deserve the status of logical truths, since what they express is neither necessary nor a priori. (shrink)

The major divide in contemporary epistemology is between those who embrace and those who reject a priori knowledge. Albert Casullo provides a systematic treatment of the primary epistemological issues associated with the controversy. By freeing the a priori from traditional assumptions about the nature of knowledge and justification, he offers a novel approach to resolving these issues which assigns a prominent role to empirical evidence. He concludes by arguing that traditional approaches to the a priori, which focus (...) primarily on the concepts of necessity and analyticity, are misguided. (shrink)

In her 1938 paper ‘Logical and Metaphysical Necessity’, Martha Kneale introduces the necessarya posteriori. I present a critical summary of Kneale's argument that so-called ‘metaphysical propositions’ are necessary but nota priori. I argue that Kneale is well placed to offer a template for reconciling conceivability approaches to modal epistemology with the post-Kripkean trend for taking metaphysical necessities to have their source in mind-independent reality.

Empiricist theories of knowledge are attractive for they offer the prospect of a unitary theory of knowledge based on relatively well understood physiological and cognitive processes. Mathematical knowledge, however, has been a traditional stumbling block for such theories. There are three primary features of mathematical knowledge which have led epistemologists to the conclusion that it cannot be accommodated within an empiricist framework: 1) mathematical propositions appear to be immune from empirical disconfirmation; 2) mathematical propositions appear to be known with certainty; (...) and 3) mathematical propositions are necessary. Epistemologists who believe that some nonmathematical propositions, such as logical or ethical propositions, cannot be known a posteriori also typically appeal to the three factors cited above in defending their position. The primary purpose of this paper is to examine whether any of these alleged features of mathematical propositions establishes that knowledge of such propositions cannot be a posteriori. (shrink)

After a brief review of the notions of necessity and a priority, this paper scrutinizes Kripke's arguments for supposedly contingent a priori propositions and necessary a posteriori propositions involving proper names, and reaches a negative conclusion, i.e. there are no such propositions, or at least the propositions Kripke gives as examples are not such propositions. All of us, including Kripke himself, still have to face the old question raised by Hume, i.e. how can we justify the necessity (...) and universality of general statements on the basis of sensory or empirical evidence? (shrink)

This volume contains ten new essays on a priori knowledge by authors from Canada, the United States, Australia, & Europe Topics addressed include the nature, explanation, & indispensability of a priori knowledge, its connection with analytic truth, its place in mathematics, in logic, & in empirical theory, & the contribution of Kant & Quine to these topics. The focus is on twentieth-century contributions to these issues, but most essays also address earlier discussions at some length, & the essays (...) that focus on Kant also relate his views to more recent discussions. Contents: Introduction. A Rationalist Manifesto. Analyticity, Undeniability, & Truth. Analyticity & the A Priori. The Doubtful A Priori. Some Remarks on Indiscernibility. The Constitutive A Priori. Kant's A Priori Methods for Recognising Necessary Truths. EPR as A Priori Science. Gaps, Gluts, & Paradox. An Essay on Material Necessity. (shrink)

The two questions have dominated traditional discussions of a priori knowledge: What is its relationship to necessary truth? What is its relationship to analytic truth? Answering them is not necessary to answer the two primary epistemological questions about a priori knowledge: What is it? Does it exist? This chapter argues that the prominence of questions about the relationship between the a priori and the necessary derives from two traditional views: the rationalist conception of a priori knowledge (...) and Kant’s claim that necessity is a criterion of the a priori. Independent grounds for rejecting both are offered, and it is argued that the two primary epistemological questions about a priori knowledge can be answered without resolving the disputes over its relationship to necessary truth. (shrink)

Kripke argues that the existence of a priori contingent truths shows the falsity of the traditional idea that the notions of necessity and a priority are coextensional. In this paper, I maintain that the traditional coexistensionality thesis is defendable. I contend that the propositions that are alleged to be a priori contingent truths by Kripke are propositions that express contingent facts and, at the same time, are necessarily true. That they are necessarily true is not because of (...) their metaphysical aspects but in virtue of their epistemological properties. In regard to a priority, following Donnellan, I argue that Kripke’s fault can be explained by an appeal to the distinction between knowing that a certain sentence expresses a truth and knowing the truth of what is expressed by the sentence. (shrink)

In recent years many influential philosophers have advocated that philosophy is an a priori science. Yet very few epistemology textbooks discuss a priori knowledge at any length, focusing instead on empirical knowledge and empirical justification. As a priori knowledge has moved centre stage, the literature remains either too technical or too out of date to make up a reasonable component of an undergraduate course. Edwin Mares book aims to rectify this. This book seeks to make accessible to (...) students the standard topics and current debates within a priori knowledge, including necessity and certainty, rationalism, empiricism and analyticity, Quine's attack on the a priori, Kantianism, Aristotelianism, mathematical knowledge, moral knowledge, logical knowledge and philosophical knowledge. (shrink)

This article argues for two related theses. First, it defends a general thesis: any kind of necessity, including metaphysical necessity, can only be known a priori. Second, however, it also argues that the sort of a priori involved in modal metaphysical knowledge is not related to imagination or any sort of so-called epistemic possibility. Imagination is neither a proof of possibility nor a limit to necessity. Rather, modal metaphysical knowledge is built on intuition of philosophical (...) categories and the structures they form. (shrink)

The absence of a necessary connection in singular causation is a key step in the Humean argument against any form of necessity in causation. I argue that Hume's defence of this step is unsuccessful, and that the step could be skipped, accepting the possibility of necessary a posteriori truths. Still this does not suffice to guarantee a necessary connection in singular causation. Necessary a posteriori truths should be backed by necessary a priori truths. Thus, a main object of (...) this paper is to argue that an a priori philosophical concept of causality involves a necessary connection between its terms. (shrink)

In the history of epistemology, discussions of the a priori have been bound up with discussions of necessity and analyticity, often in confusing ways. Disentangling these confusions is an essential step in the study of the a priori. This will be the aim of my introductory remarks. The goal of the remainder of the paper will then be to try to develop a unified account of the a priori, dealing with the notions of intuition and a (...) priori evidence, the question of why intuitions qualify as evidence, and the question of how they can be a reliable guide to the truth about a priori matters. (shrink)

In this article I would like to discuss the concept of a priori mainly focusing on Kant’s Copernican revolution. How is metaphysics at all possible and how a priority takes place in Kantian metaphysics are the questions that I have addressed in the first part of my article. In this context, I have explained analytic, synthetic distinction from epistemological, metaphysical and semantical perspectives and I want to show how the concept of a priori and other associated notions are (...) derived from this different perspective. I end my discussion with an account of some fundamental objections raised by Quine and Kripke against Kantian analysis. Quine mainly wants to deny the traditional analytic and synthetic distinction. Besides, Kripke is trying to show that it is not true that the traditional account of the intimate relation between a priori and necessary proposition must be true, i.e., it is mistaken that a priori proposition must be necessary, it may be contingent. I would like to analyse and explain a few obstacles of Quine and Kripke following Putnam’s (externalist approach) and Quassim Cassam’s (non-empirical approach on a priority) line of different arguments. (shrink)

If I understand him correctly, Derek Parfit’s views place us, philosophically speaking, in a very small box. According to Parfit, normativity is an irreducible non-natural property that is independent of the human mind. That is to say, there are normative truths - truths about what we ought to do and to want, or about reasons for doing and wanting things. The truths in question are synthetic a priori truths, and accessible to us only by some sort of rational intuition. (...) Parfit supposes that if we are to preserve the irreducibility of the normative, this is just about all we can say, at least until we bring in some actual intuitions to supply the story with some content. (shrink)

Many expressions intuitively have different epistemic and modal profiles. For example, co-referring proper names are substitutable salva veritate in modal contexts but not in belief-contexts. Two-dimensional semantics, according to which terms have both a so-called primary and a secondary intension, is a framework that promises to accommodate and explain these diverging intuitions. The framework can be applied to indexicals, proper names or predicates. Graeme Forbes argues that the two-dimensional semantics of David Chalmers fails to account for so-called nested contexts. These (...) are linguistic contexts where a sentence is embedded under both epistemic and modal operators. Chalmers and Rabern suggest a two-dimensional solution to the problem. Their semantics solves the nesting-problem, but at the cost of invalidating certain plausible principles. We suggest a solution that is both simpler and avoids this cost. (shrink)

This paper offers a nuanced interpretation of Kant’s conception of the a priori, particularly in the context of constitutive principles. Contrary to the received view that separates necessity/universality from constitutivity—a distinction Kant allegedly failed to make—I propose a dual interpretation of the a priori that reconciles these aspects. This interpretation differentiates between a priori as ground (a priori-g) and as knowledge (a priori-k). The a priori-g, rooted in our mind’s invariant structure, encompasses pure (...) intuitions, concepts, and apperception, underpinning all knowledge and embodying constitutivity. Conversely, the a priori-k, deriving its necessity and universality from the a priori-g, is explained by the immutable subjective constitution. This paper argues that Kant implicitly prefigured Reichenbach’s distinction between necessity/universality and constitutivity, viewing their interconnectedness as justifying an extension of the former “marks” to all apriority. My analysis focused less on the synthetic a priori or the synthetic method and more on the constitutive, transcendental dimension of apriority, revealing Kant’s reasoning within the systematic context of the first Critique. It makes explicit Kant’s multiple notions of experience and a priori and his interconnected reasons for them—something that tends to be passed over in contemporary literature on constitutive a priori principles. (shrink)

The article shows the positions philosophers held to the relationship between a priori judgments and those judgments which are valid necessarily. Enlightenment philosophers of the 18th and 19th century, who, though often in different ways, opposed the concept of metaphysics and scholastic necessity , play the leading role. At the beginning of the 20th century analytic philosophy was born. Its first leaders inherited from their predecessors an antipathy to metaphysics, and so they had no desire to return again (...) to the traditional concept of necessity . Their logic and the new characterization of the a priori paved the way for the linguistic turn. Some of their followers in the second half of the 20th century realized that the concept needed to be returned to its original meaning . This is not a mere repetition of the Aristotelian-scholastic conception, but a new addition that rethinks the relationship between the notions of a priori and necessity. (shrink)

In the mid twentieth century, logical positivists and many other philosophers endorsed a simple equation: something was necessary just in case it was analytic just in case it was a priori. Kripke’s examples of a posteriori necessary truths showed that the simple equation is false. But while positivist-style inferentialist approaches to logic and mathematics remain popular, there is no inferentialist account of necessity a posteriori. I give such an account. This sounds like an anti-Kripkean project, but it is (...) not. Some of Kripke’s remarks even suggest this kind of approach. This inferentialist approach reinstates neither the simple equation nor pure conventionalism about necessity a posteriori. But it does lead to something near enough, a type of impure conventionalism. In recent years, metaphysically heavyweight approaches to modality have been popular, while other approaches have lagged behind. The inferentialist, impure conventionalist theory of necessity I describe aims to provide a metaphysically lightweight option in modal metaphysics. (shrink)

The main general goal of this paper is to consider in a new light what is usually referred in the phenomenological tradition as “material a priori”. Through a consideration of the evidence we have of anything colored being extended, the paper attempts to show that this evidence is of a different kind from the one we have of other propositions also involving necessity. The main peculiarity of this evidence is found in its dependence on linguistic meaning therein involved (...) being rooted in a factual world and on an imaginative process deployed on the background of that rooting. (shrink)

In this paper I will offer a novel understanding of a priori knowledge. My claim is that the sharp distinction that is usually made between a priori and a posteriori knowledge is groundless. It will be argued that a plausible understanding of a priori and a posteriori knowledge has to acknowledge that they are in a constant bootstrapping relationship. It is also crucial that we distinguish between a priori propositions that hold in the actual world and (...) merely possible, non-actual a priori propositions, as we will see when considering cases like Euclidean geometry. Furthermore, contrary to what Kripke seems to suggest, a priori knowledge is intimately connected with metaphysical modality, indeed, grounded in it. The task of a priori reasoning, according to this account, is to delimit the space of metaphysically possible worlds in order for us to be able to determine what is actual. (shrink)

Since Saul Kripke’s Naming and Necessity, the view that there are contingent apriori truths has been surprisingly widespread. In this paper, I argue against that view. My first point is that in general, occurrences of predicates “a priori” and “contingent” are implicitly relativized to some circumstance, involving an agent, a time, a location. My second point is that apriority and necessity coineide when relativized to the same circumstance. That is to say, what is known apriori (by an (...) agent in a circumstance) cannot fail to be the case (in the same circumstance), hence it is necessary. (shrink)

Name der Zeitschrift: Archiv für Geschichte der Philosophie Jahrgang: 97 Heft: 1 Seiten: 34-65.

Modal rationalism is the claim that for any proposition p, if it is ideally conceivable that p, then there is a metaphysically possible world, W, in which p is true. If true, modal rationalism must itself be an a priori truth. Moreover, modal rationalism is true just if there are no strong a posteriori necessities. But are there any strong necessities? In this paper, I set out a transcendental argument to show that there cannot be any, because they are (...) not genuinely conceivable. I argue that if it were ideally conceivable that there are strong necessities, then it would be impossible for us to have any modal knowledge of the world. Given that we do have some modal knowledge of the world, it follows that strong necessities are not ideally conceivable and therefore that modal rationalism itself is an a priori truth. (shrink)

Kant famously argued that, from experience, we can only learn how something actually is, but not that it must be so. In this paper, I defend an improved version of Kant's argument for the existence of a priori knowledge, the Modal Argument , against recent objections by Casullo and Kitcher. For the sake of the argument, I concede Casullo's claim that we may know certain counterfactuals in an empirical way and thereby gain epistemic access to some nearby, nomologically possible (...) worlds. But I maintain that our beliefs about metaphysical necessities still cannot be justified empirically. Furthermore, I reject Casullo's deflationary thesis about the significance of such justification. Kitcher's most troublesome objection is that we can gain any modal justification whatsoever through testimony , i.e. in an experiential way. This can be countered by distinguishing between productive sources of justification, like perception, and merely reproductive sources, like testimony. Thus, some productive a priori source will always be needed somewhere. (shrink)

We consider a natural-language sentence that cannot be formally represented in a first-order language for epistemic two-dimensional semantics. We also prove this claim in the “Appendix” section. It turns out, however, that the most natural ways to repair the expressive inadequacy of the first-order language render moot the original philosophical motivation of formalizing a priori knowability as necessity along the diagonal.

An attempt is made to show that Wittgenstein's later philosophy of logic is not the kind of conventionalism which is often ascribed to him. On the contrary, Wittgenstein gives expression to a “mixed” theory which is not only interesting but tends to resolve the perplexities usually associated with the question of the a priori character of logical truth. I try to show that Wittgenstein is better understood not as denying that there are such things as “logical rules” nor as (...) denying that the results of applying such rules are “logically necessary,” but as trying to understand what it is to appeal to a logical rule and what it means to say that the results of applying such a rule are “necessary.” He is not so much overthrowing standard accounts of logical necessity as discovering the limits of the concept. (shrink)

Edwin Mares seeks to make the standard topics and current debates within a priori knowledge, including necessity and certainty, rationalism, empiricism and analyticity, Quine's attack on the a priori, Kantianism, Aristotelianism, mathematical knowledge, moral knowledge, logical knowledge, and philosophical knowledge, accessible to students.

One of the major challenges in the philosophy of religion is theological fatalism—roughly, the claim that divine omniscience is incompatible with free will. In this article, I present new reasons to be skeptical of what I consider to be the strongest argument for theological fatalism. First, I argue that divine foreknowledge is not necessary for an argument against free will if we take into account divine knowledge of contingent a priori truths. Second, I show that this argument can be (...) generalized so that ordinary human knowledge of contingent a priori truths also leads to an argument against free will. This, I believe, results in an absurd conclusion that is unacceptable to both theists and non-theists. But if there is something wrong with this argument, there is something wrong, too, with the argument for theological fatalism. Although there is a range of possible responses, I suggest that the core issue in all cases is a closure principle—specifically, the principle that ‘no choice about’ is closed under entailment (or strict implication). (shrink)

In Meaning and Necessity (1947/1950), Carnap advances an intensional semantic framework on which modal claims are true in virtue of semantical rules alone, and so are a priori. In 'Empiricism, Semantics, and Ontology' (1950), Carnap advances an epistemic-ontological framework on which metaphysical claims are either trivial or meaningless, since lacking any means of substantive confirmation. Carnap carried out these projects two decades before Kripke influentially argued, in Naming and Necessity (1972/1980), that some modal claims are true a (...) posteriori. How should a neo-Carnapian respond to Kripke's results? Some (notably, Chalmers and Jackson, in their 2001) have suggested that an extension of intensional semantics along lines of "epistemic two-dimensionalism" can accommodate Kripke's results while largely preserving commitment to the semantics-based a priority of modal claims. Here we consider how best to implement this suggestion, and how the resulting semantics fits with Carnap's second project. We find that the most promising (and most Carnapian!) post-Kripke version of Carnap’s semantics---abductive two-dimensionalism---presupposes an epistemology which undermines Carnap's metaphysical anti-realism. (shrink)

This article focuses on providing a new a priori argument for the veracity of the doctrine of the Incarnation. This new argument, called the Subjectivity Argument, will be formulated in light of the concept of "omnisubjectivity," as proposed by Linda Zagzebski, and an "emotion," as conceptualised by the "somatic feeling theory," posited by Jesse Prinz. Doing this will provide a specific argument that provides strong grounds for affirming the necessity of the Incarnation, without, however, being subject to the (...) primary objections that can be raised against other a priori arguments for the Incarnation in the contemporary literature. (shrink)