The problem of synthetic judgements touches on the question of whether philosophy can draw independent statements about reality in the first place. For Kant, the synthetic judgements a priori formulate the conditions of the possibility for objectively valid knowledge. Despite the principle fallibility of its statements, modern science aims for objective knowledge. This gives the topic of synthetic a priori unbroken currency. This paper aims to show that a modernized version of transcendental philosophy, (...) if it is to be feasible at all, must “bid farewell” to the concept of being “free of empiricism” or the “purity” of the a priori. Approaches to this end can already been found in Kant’s reflections on non-pure synthetic knowledge. Moreover, the a priori validity of knowledge does not exclude the possibility that it can be discovered empirically. In keeping with Kant, Fries and Nelson anticipated this separation (usually first attributed to Reichenbach) between the validity and discovery context of knowledge and pointed out that the a priori could be discovered empirically, but never proven. There are currently still good reasons why transcendental philosophical concepts are of fundamental importance for modern science, although it must not be overlooked that even within the framework of a modernized transcendental philosophy, several unsolved problems remain or are raised. For example, the irredeemability of the universal validity and necessary claims of the a priori, the problem of a clear demarcation between the phenomenal and noumenal world. Moreover, the “beautiful structure” or the Kantian system, which constituted its persuasive power, is lost. (shrink)

KANT’S GOAL IN THE TRANSCENDENTAL DEDUCTION was to demonstrate that the categories are applicable to objects of sensible intuition. He carried out this task by disclosing the necessity of a transcendental synthesis. In the Transcendental Deduction in the second edition of the Critique of Pure Reason transcendental synthesis has two subspecies: synthesis intellectualis and synthesis speciosa. The distinction between the two types of transcendental synthesis is also mirrored in the structure of the proof of the B Deduction. As several (...) commentators have noted, the B Deduction in fact contains two parts. Each part seems to provide an account of a distinctive kind of transcendental synthesis. The first part provides an account of intellectual synthesis while the second part provides an account of figurative synthesis. (shrink)

This thesis is concerned with explaining how a subject can acquire a priori knowledge of arithmetic. Every account for arithmetical, and in general mathematical knowledge faces Benacerraf's well-known challenge, i.e. how to reconcile the truths of mathematics with what can be known by ordinary human thinkers. I suggest four requirements that jointly make up this challenge and discuss and reject four distinct solutions to it. This will motivate a broadly Fregean approach to our knowledge of arithmetic (...) and mathematics in general. Pursuing this strategy appeals to the context principle which, it is proposed, underwrites a form of Platonism and explains how reference to and object-directed thought about abstract entities is, in principle, possible. I discuss this principle and defend it against different criticisms as put forth in recent literature. Moreover, I will offer a general framework for implicit definitions by means of which - without an appeal to a faculty of intuition or purely pragmatic considerations - a priori and non-inferential knowledge of basic mathematical principles can be acquired. In the course of this discussion, I will argue against various types of opposition to this general approach. Also, I will highlight crucial shortcomings in the explanation of how implicit definitions may underwrite a priori knowledge of basic principles in broadly similar conceptions. In the final part, I will offer a general account of how non-inferential mathematical knowledge resulting from implicit definitions is best conceived which avoids these shortcomings. (shrink)

According to rationalists, synthetic a priori propositions convey new knowledge, whereas analytic propositions are non-informative or vacuous conceptual truths. However, as we argue in this article, each a priori proposition is necessarily true because of its semantic constituents and the way they are combined, and hence can be transformed into its equivalent analytic form. So each synthetic a priori proposition conveys only non-informative conceptual truths like analytic propositions.

Kant informs us that the categorical imperative is a synthetic a priori proposition. It might be thought that Kant means thereby to say that we have an a priori rational insight, somewhat like that which Plato claimed for the Forms, into this basic moral truth. W. D. Ross had a similar view about human rational insight into certain basic moral principles, and in his book Kant's Ethical Theory he attritubes such a view to Kant.I argue that this (...) initially plausible interpretation is not correct, and that the "rational intuitionism" that it involves goes against Kant's whole approach to philosophy, in the first Critique as well as in the moral philosophy. I develop a new alternative interpretation, as follows: the categorical imperative is synthetic because it contains a claim about the causal/motivational power we have to act purely from the motive of duty, without any assistance from "sensible" or empirical motives, such as pleasure or pain. This claim, qua motivational, goes beyond the meaning of the categorical imperative considered as a mere ethical precept. It is a priori because this motive's source is the noumenal self.Hence to justify the categorical imperative is to show that this sort of non-sensible motive is or could be active in us as agents, and Kant is an "internalist": one who believes that morality and motivation are internally, analytically connected. Nach Kant ist der kategorische Imperativ ein synthetischer Satz a priori. Kant könnte damit sagen wollen, wir hätten in die grundlegende moralische Wahrheit, die der kategorische Imperativ darstellt, eine vernünftige Einsicht a priori, die unserer Wahrnehmung der Formen, wie Plato sie sieht, vergleichbar wäre. W. D. Ross vertrat eine ähnliche Auffassung von einer vernünftigen menschlichen Einsicht in gewisse grundlegende moralische Prinzipien, und in seinem Buch "Kant's Ethical Theory" schreibt er diese Auffassung auch Kant zu.Ich behaupte, daß diese auf den ersten Blick als plausibel erscheinende Interpretation nicht richtig ist, und daß der "rationale Intuitionismus", den sie impliziert, Kants philosophischem Ansatz, sowohl in der ersten Kritik als auch in der Moralphilosophie, ganz grundsätzlich widerspricht. Ich entwickele eine neue, alternative Interpretation: Der kategorische Imperativ ist synthetisch, weil er eine Behauptung über eine kausale/motivationale Kraft enthält, die uns zukommt und die uns befähigt, ohne irgendeine Unterstützung durch bloß empirische oder Beweggründe der Zweckrationalität wie Freude oder Schmerz allein aus der Vorstellung der Pflicht heraus zu handeln. Soweit sie den vernünftigen Beweggrund zu handeln betrifft, geht die Behauptung über die Bedeutung des kategorischen Imperativs als eines rein ethischen Gebots hinaus. Sie ist a priori, da die Quelle des vernünftigen Beweggrunds das noumenale Ich ist.Jede Rechtfertigung des kategorischen Imperativs muß folglich zeigen, daß die fragliche Art vernünftiger Beweggründe, die nicht Beweggründe bloßer Zweckrationalität sind, in uns als Handelnden aktiv ist oder jedenfalls aktiv sein könnte und daß Kant insoweit ein "Internalist" ist: das ist jemand, der meint, Moral und Motivation seien innerlich, analytisch miteinander verbunden. (shrink)

In his "The Empiricism of Avicenna," Dimitri Gutas interprets Avicenna as an empiricist.1 He analyzes Avicennian 'principles of syllogism' and claims that none of them are a priori. Moreover, regarding awwalīyāt and fiṭrīyāt—which are two groups of such principles—Gutas suggests that "[i]t appears that both kinds of propositions would be analytic, in Kantian terms. As for Locke, they would be what he called 'trifling.'"2 In my first comment in this issue, I disagreed with this view and argued that these (...) two groups of propositions are a priori in the Kantian sense. Assenting to their truth is internal to the intellect and independent of empirical information. I also argued that at least some fiṭrīyāt are synthetic... (shrink)

Sektion Erkenntnistheorie, 29.09.2014, XXIII. Kongress der Deutschen Gesellschaft für Philosophie 2014 in Münster. -/- The problem of synthetic judgments touches upon the question whether philosophy is in fact capable of making independent truth statements. According to Kant, synthetic judgments formulate the conditions for the possibility of objectively valid knowledge a priori. As far as empirical attempts at reinterpretation of the aprioristic fall short of this ambition, Kant’s a priori goes deeper. This is because modern science (...) strives towards objective knowledge, although its statements are fundamentally fallible. The topic of synthetic a priori thus continues to be relevant. -/- This paper will show that, in order to be viable at all, a modernized version of transcendental philosophy must ‘depart from’ the concepts of “independence from empirics” and/or the “purity” of the aprioristic. Kant’s reflections on non-pure synthetic a priori knowledge already contain attempts at this. Furthermore, the aprioristic validity of knowledge does not exclude the possibility, that it can be discovered empirically. Fries and, subsequently, Nelson proceeded with this separation (initially ascribed to Reichenbach) between the contexts of validity and discovery of knowledge, pointing out that the a priori can indeed be discovered empirically, yet never be proven. -/- Currently, there are still a number of valid reasons for arguing that concepts from transcendental philosophy continue to be of fundamental importance for the modern sciences. However, it must not be neglected that, even within a modernized framework of transcendental philosophy various unsolved problems remain and/or are created (such as the unfeasibility of the aprioristic claim to general validity and necessity, the problem of drawing a clear boundary between the noumenal and phenomenal worlds). Moreover, the “beautiful structure” of the Kantian system, which constitutes much of its persuasive strength, is lost. (shrink)

The problem of synthetic judgments touches upon the question whether philosophy is in fact capable of making independent truth statements. According to Kant, synthetic judgments formulate the conditions for the possibility of objectively valid knowledge a priori. As far as empirical attempts at reinterpretation of the aprioristic fall short of this ambition, Kant’s a priori goes deeper. This is because modern science strives towards objective knowledge, although its statements are fundamentally fallible. The topic of (...) synthetic a priori thus continues to be relevant. -/- This paper will show that, in order to be viable at all, a modernized version of transcendental philosophy must ‘depart from’ the concepts of “independence from empirics” and/or the “purity” of the aprioristic. Kant’s reflections on non-pure synthetic a priori knowledge already contain attempts at this. Furthermore, the aprioristic validity of knowledge does not exclude the possibility, that it can be discovered empirically. Fries and, subsequently, Nelson proceeded with this separation (initially ascribed to Reichenbach) between the contexts of validity and discovery of knowledge, pointing out that the a priori can indeed be discovered empirically, yet never be proven. -/- Currently, there are still a number of valid reasons for arguing that concepts from transcendental philosophy continue to be of fundamental importance for the modern sciences. However, it must not be neglected that, even within a modernized framework of transcendental philosophy various unsolved problems remain and/or are created (such as the unfeasibility of the aprioristic claim to general validity and necessity, the problem of drawing a clear boundary between the noumenal and phenomenal worlds). Moreover, the “beautiful structure” of the Kantian system, which constitutes much of its persuasive strength, is lost. (shrink)

At B19, Kant summarizes the general problem of pure reason in the problem of synthetic a priori judgments. The vicissitudes that have affected last century’s philosophy are, in this sense, a confirmation of its significance: the problem of synthetic a priori knowledge has indeed crossed all the major philosophical currents of the twentieth century, being treated in a wide variety of ways by phenomenologists, logical empiricists, and pragmatists. One of the most original treatments of (...) the issue is that offered by the young Wilfrid Sellars between the late 1940s and the early 1950s, consisting of a hybridization of different traditions. In this paper I will present Sellars’ unique re-elaboration of the notion of the synthetic a priori as it is elaborated in his early writings, showing how his interweaving of themes from pragmatism, phenomenology and logical empiricism leads not just to what I believe is the only possible approach for a realist philosopher, but also to an unexpected Kantian solution in spirit. (shrink)

ABSTRACT: It is a familiar story that Kant’s defence of our synthetic a priori cognition in the Critique of Pure Reason suffered sharp criticism throughout the extended philosophical revolutions that established analytic philosophy, the pragmatist tradition, and the phenomenological tradition as dominant philosophical movements in the first half of the twentieth century. One of the most important positive adaptations of Kant’s outlook, however, was the combined analytic and pragmatist conceptions of the a priori that were developed (...) by the American philosophers C. I. Lewis (1883–1964) and Wilfrid Sellars (1912–1989), most notably in Lewis’s 1929 classic, Mind and the World Order, followed by Sellars’ critical reworking of Lewis’s outlook in ‘Is There a Synthetic A Priori?’ (1953) and other mid-century articles. Both Lewis and Sellars defended central aspects of Kant’s analysis of our a priori knowledge of mind-independent physical objects and necessary causal connections. But both also radically transformed Kant’s view by defending the idea that there are alternative a priori conceptual frameworks that are subject to an ongoing process of reassessment and replacement on overall pragmatic and explanatory grounds. Furthermore, while Sellars’ answer to his question, ‘Is There a Synthetic A Priori?’ thus represented a partial endorsement of Lewis’s pragmatic relativization of the a priori, I argue that Sellars’ account of meaning diverged from Lewis in ways that constituted a significant improvement upon the previous ‘analytic’ defenses of the a priori, not only in Lewis but in general. This arguably has implications for wider disputes concerning the nature and possibility of a priori knowledge in non-formal domains. (shrink)

ABSTRACT Wilfrid Sellars argued that Kant’s account of the conceptual structures involved in experience can be given a linguistic turn so as to provide an analytic account of the resources a language must have in order to be the bearer of empirical knowledge. In this paper I examine the methodological aspects of Kant’s transcendental philosophy that Sellars took to be fundamental to influential themes in his own philosophy. My first aim here is to clarify and argue for the plausibility (...) of what I claim is Sellars’ interpretation of Kant’s ‘analytic’ transcendental method in the first Critique, based ultimately on non-trivial analytic truths concerning the concept of an object of our possible experience. Kant’s ‘transcendental proofs’ thereby avoid a certain methodological trilemma confronting the candidate premises of any such proof, taken from Sellars’ 1970s undergraduate exam question on Kant. In part II of the essay I conclude by highlighting in general terms how Kant’s method, as interpreted in the analytic manner explained in part I, was adapted by Sellars to produce some of the more influential aspects of his own philosophy, expressed in terms of what he contends is their sustainable reformulation in light of the so-called linguistic turn in twentieth-century philosophy. (shrink)

The problem of Kant's first Critique is the problem of pure reason: how are synthetic judgments possible a priori? Many of his readers have believed that the problem depends upon a delimitation within the class of a priori truths of a class of irreducibly synthetic truths—a delimitation whose possibility is doubtful—because absent this it is not excluded that all a priori truths are analytic. I argue, on the contrary, that the problem depends on nothing (...) more than the human knower's everyday consciousness of her own finitude: her dependence in thinking and knowing on what is given to her. The problem is a difficulty about how the concepts which figure in metaphysical judgments could represent reality given that they cannot do so in the way in which concepts figuring in empirical judgments do. Empirical judgment here functions as exemplary of thought and knowledge because it is exemplary of finite thought and knowledge. Mere analysis could not, therefore, dissolve the problem even in principle, because to say that a concept can be analyzed is not yet to explain the possibility of its real representative power. The significance of the analytic-synthetic distinction in the context of the problem of pure reason is that its formulation allows Kant to say this. (shrink)

This article considers an apparent Achilles heel for Kant’s transcendental idealism, concerning his account of how synthetic a priori knowledge is possible. The problem is that while Kant’s distinctive attempt to explain synthetic a priori knowledge lies at the heart of his transcendental idealism, this explanation appears to face a dilemma: either the explanation generates a problematic regress, or the explanation it offers gives us no reason to favour transcendental idealism over transcendental realism. In (...) the article, I consider G. E. Moore’s version of the problem, which I argue has not yet received an adequate response. Instead, I offer a way out of this dilemma by focusing on the normativity rather than the metaphysics of the mind. (shrink)

In his essay “Logical Empiricism”, in the anthology Twentieth Century Philosophy, Professor Feigl writes: “All forms of empiricism agree in repudiating the existence of synthetic a priori knowledge.” Schlick makes the same point even more forcibly: “The empiricism which I represent believes itself to be clear on the point that, as a matter of principle, all propositions are either synthetic a posteriori or tautologous; synthetic a priori propositions seem to it to be a logical (...) impossibility.” The denial of synthetic a prioris is a major thesis of the logical empiricist position, being found in the writings of most of the leaders of the movement. The reason for its importance is fairly clear. It provides a formula on which the empiricists can base their critique of traditional philosophy. To use Ayer's phrase, denial of the synthetic a priori results in “the elimination of metaphysics”. The philosophical tradition to which the empiricists are opposed and whose “metaphysics” they wish to eliminate can be called, somewhat loosely, rationalism. (shrink)

In his essay “Logical Empiricism”, in the anthologyTwentieth Century Philosophy, Professor Feigl writes: “All forms of empiricism agree in repudiating the existence of synthetic a priori knowledge.”2Schlick makes the same point even more forcibly: “The empiricism which I represent believes itself to be clear on the point that, as a matter of principle, all propositions are either synthetic a posteriori or tautologous; synthetic aprioripropositions seem to it to be a logical impossibility.”3 The denial of (...) class='Hi'>synthetic apriorisis a major thesis of the logical empiricist position, being found in the writings of most of the leaders of the movement.4 The reason for its importance is fairly clear. It provides a formula on which the empiricists can base their critique of traditional philosophy. To use Ayer's phrase, denial of the synthetic aprioriresults in “the elimination of metaphysics”. The philosophical tradition to which the empiricists are opposed and whose “metaphysics” they wish to eliminate can be called, somewhat loosely, rationalism. (shrink)

This paper attempts to shed light on three sets of issues that bear directly on our understanding of Locke and Kant. The first is whether Kant believes Locke merely anticipates his distinction between analytic and synthetic judgments or also believes Locke anticipates his notion of synthetic a priori cognition. The second is what should we as readers of Kant and Locke should think about Kant’s view whatever it turns out to be, and the third is the nature (...) of Kant’s justification for the comparison he draws between his philosophy and Locke’s. I argue (1) that Kant believes Locke anticipates both the analytic-synthetic distinction and Kant’s notion of synthetic a priori cognition, (2) that the best justification for Kant’s claim draws on Locke’s distinction between trifling and instructive knowledge, (3) that the arguments against this claim developed by Carson, Allison, and Newman fail to undermine it, and (4) that Kant’s own justification for his claim is quite different from what many commentators have thought it was (or should have been). (shrink)

This article is mainly a critique of Philip Kitcher's book, The Nature of Mathematical Knowledge. Four weaknesses in Kitcher's objection to Kant arise out of Kitcher's failure to recognize the perspectival nature of Kant's position. A proper understanding of Kant's theory of mathematics requires awareness of the perspectival nuances implicit in Kant's theory of pure intuition.

Particularism renders the options for a sound moral epistemology few and the prospects dim. One leading approach treats basic knowledge of particular cases as derivable from an a priori moral principle and a posteriori knowledge of the contingent non-moral facts to which the principle applies. Particularists must forgo this approach because it requires principles. Yet a purely a posteriori moral epistemology is also implausible, especially when combined with particularism. Particularists such as Jonathan Dancy are thus led to (...) the view that our basic moral knowledge is a priori knowledge of contingent moral facts. We argue that this epistemology is unsound. While some cases of a priori knowledge of (even deeply) contingent facts may be defensible, they are not sufficient for particularist purposes. Moreover, neither Dancy’s appeal to the distinction between positive and negative dependence nor his discussion of intuitive examples provides sufficient support for this epistemology. (shrink)

Subjectivists, taking the “collapse” of the observation-interpretation contrast much too seriously, are led to imagine that even perceptual knowledge is active. And therefore subject dependent. Turning the tables on this popular trend, I argue that even conceptual knowledge is passive. Kant’s epistemology is conceptual. But if also active, then incoherent. If synthetic a priori truths are to follow upon our mental activity, they were neither true nor, far less, a priori before that activity. “A (...) class='Hi'>priori” and “active” are contradictory attributes of knowledge. As, indeed, are “a priori” and “subject-dependent” to begin with. Nothing a priori can be dependent on anything except itself, and least of all on the human subject. Kant does consider the active aspect of thought. The difference is that for him the more active it becomes, the less it is to be trusted. For we are no longer in the province of the Understanding, and its necessary truths, but in the realm of Pure Reason and its dialectical antinomies. Cognition activists who take a liking to Kant have simply mistaken Reason for the Understanding. And Reason is to Kant “the seat of all transcendental illusion”. (shrink)

Subjectivists, taking the “collapse” of the observation-interpretation contrast much too seriously, are led to imagine that even perceptual knowledge is active. And therefore subject dependent. Turning the tables on this popular trend, I argue that even conceptual knowledge is passive. Kant’s epistemology is conceptual. But if also active, then incoherent. If synthetic a priori truths are to follow upon our mental activity, they were neither true nor, far less, a priori before that activity. “A (...) class='Hi'>priori” and “active” are contradictory attributes of knowledge. As, indeed, are “a priori” and “subject-dependent” to begin with. Nothing a priori can be dependent on anything except itself, and least of all on the human subject. Kant does consider the active aspect of thought. The difference is that for him the more active it becomes, the less it is to be trusted. For we are no longer in the province of the Understanding, and its necessary truths, but in the realm of Pure Reason and its dialectical antinomies. Cognition activists who take a liking to Kant have simply mistaken Reason for the Understanding. And Reason is to Kant “the seat of all transcendental illusion”. (shrink)

This paper will make the case that we can find in Kant’s Second Analogy a substantive response to Hume’s argument on induction. This response is substantive insofar as it does not merely consist in independently arguing for the opposite conclusion, but rather, it identifies and exploits a gap in this argument. More specifically, Hume misses the possibility of justifying the uniformity of nature as a synthetic a priori proposition, which Kant looks to establish in the Second Analogy. Note (...) that the focus on the paper is on Kant’s identification of the form that a solution to Hume’s inductive scepticism must take. In making this point, my paper will look to establish two lemmas: Kant identifies synthetic a priori judgments as a means of justifying metaphysical knowledge in a way that circumvents Hume’s dichotomy between matters of fact and relations of ideas; the Second Analogy looks to establish the uniformity of nature of as a synthetic a priori proposition. However, my paper generally abstains from the question of the tenability of Kant’s argument in the Second Analogy. Doing justice to this latter discussion would require more space than I am able to offer here. My paper therefore has a conditional bearing on the philosophical issue of inductive scepticism. If one believes Kant’s Second Analogy to be philosophically cogent, then Kant offers a successful justification of induction against Hume’s scepticism. If not, then at least one can still admire Kant’s identification of the gap in Hume’s argument, which, to a degree, can be exploited independently of Kant’s system. (shrink)

Hans Reichenbach is well known for his limiting frequency view of probability, with his most thorough account given in The Theory of Probability in 1935/1949. Perhaps less known are Reichenbach's early views on probability and its epistemology. In his doctoral thesis from 1915, Reichenbach espouses a Kantian view of probability, where the convergence limit of an empirical frequency distribution is guaranteed to exist thanks to the synthetic a priori principle of lawful distribution. Reichenbach claims to have given a (...) purely objective account of probability, while integrating the concept into a more general philosophical and epistemological framework. A brief synopsis of Reichenbach's thesis and a critical analysis of the problematic steps of his argument will show that the roots of many of his most influential insights on probability and causality can be found in this early work. (shrink)

What has come to be known as “a priori physicalism” is the thesis, roughly, that the non-physical truths in the actual world can be deduced a priori from a complete physical description of the actual world. To many contemporary philosophers, a priori physicalism seems extremely implausible. In this paper I distinguish two kinds of a priori physicalism. One sort – strict a priori physicalism – I reject as both unmotivated and implausible. The other sort – (...) liberal a priori physicalism – I argue is both motivated and plausible. This variety of a priori physicalism insists that the necessitation of non-physical truths by the physical facts must be underwritten in a certain fashion by a priori knowledge, but the a priori knowledge need not amount to a simple deduction of the non-physical truths from a complete physical description of the world. Further, this sort of liberal a priori physicalism has the advantage that it offers hope for a genuinely satisfying account of how the physical facts manage to necessitate the facts about phenomenal consciousness – thereby in effect solving the “hard problem” of consciousness. The first half of the paper sets out the motivation for liberal a priori physicalism and its superiority to the strict version; the second half presents one strategy available to the liberal a priori physicalist for showing how consciousness can be accommodated in a purely physical world. (shrink)

The Human A Priori is a collection of essays by A. W. Moore, one of them previously unpublished and the rest all revised. These essays are all concerned, more or less directly, with something ineliminably anthropocentric in our systematic pursuit of a priori sense-making. Part I deals with the nature, scope, and limits of a priori sense-making in general. Parts II, III, and IV deal with what are often thought to be the three great exemplars of the (...) systematic pursuit of such sense-making: philosophy in the case of Part II, ethics in the case of Part III, and mathematics in the case of Part IV. Much of the attention throughout is devoted to the work of other philosophers: Kant and Wittgenstein feature prominently, and five of the essays take the form of reviews or critical notices of recent work in philosophy. But the interest in never purely exegetical. One of the lessons that emerges from the essays, either in opposition to the views of these other philosophers or by invocation of their views, is that we humans achieve nothing of real significance in philosophy, ethics, or mathematics except from a human point of view, and hence that all three of these pursuits can be said to betoken what may reasonably be called 'the human a priori'. (shrink)

I try to show that there is much sap (synthetic a priori) knowledge although one may not find many, or even any, sap true statements in most natural languages. Reasons are given for the difficulty of expressing sap truths in natural languages, but it is argued that these are not necessary features of language as such. There are, then, sap true statements in some possible languages.Admission of the sap gives one a way of distinguishing logical from metaphysical (...) possiblity. Something is metaphysically impossible just in case it is a sap truth that it is impossible. I argue that the realm of logically possible entities is vastly larger than the realm of metaphysically possible entities.My.defence of the sap begins with a partial defence of the analytic/synthetic distinction. In particular, I attack the intentionality circle argument,Quine's indeterminacy thesis and some applications of the Kripke/Putnam theory of meaning for natural kind terms. Without being a conclusive defence of the analytic/synthetic distinction, this section makes the defence of the sap more secure. Arguments are then mounted in direct defence of the sap by showing that the purported reduction of sap truths to analytic truths is mistaken. Examples are adduced to show that, even where expressions of natural language fail, one can stipulate usage in ways that allow expression of sap truths. I then consider and reply to various objections, giving an example of the sort of meaning theory which illegitimately legislates the analyticity of any purported sap true statement. (shrink)

This book explains Kant's major claims in the Critique of Pure Reason, how they hang together, and how Kant supports them, clarifying the way in which his reasoning unfolds over the course of this groundbreaking work. The book concentrates on key parts of the B edition that are essential to a basic understanding of Kant's project and provides a sympathetic account of Kant's reasoning about perception, space, time, judgment, substance, causation, objectivity, synthetic a priori knowledge, and (...) the illusions of transcendent metaphysics. (shrink)

This book answers three questions: (i) What is it for a statement to be analytically true? (ii) What is a priori knowledge? (How does it differ from inherited empirical knowledge? And how does it differ from acquired conceptual (non-empirical) knowledge, such as one's knowledge that not all continuous functions are differentiable?). (iii) Do we have a priori knowledge? It is shown that content-externalism is an 'epistemologicization' of the (logically, not psychologically) innocuous fact that, (...) if a sentence S of natural language expresses a multiply quantified generalization, S also expresses each quantified generalization obtained by permuting the quantifiers in it. It is also shown that, through judicious usage of Kaplan's dthat-operator, the shred of truth in content externalism can be reconciled with the datum that, in virtue of having a given representational content R, a mental state M has causal powers that it would not otherwise have. And it is thereby shown how to reconcile content-externalism, so far as the latter is true, with the legitimacy of individualist approaches to psychology. Finally, it is shown that content-externalism embodies a crude and false conception of the nature of the relationship between the literal meanings of linguistic expressions, on the one hand, and, on the other hand, the contents of the thoughts underlying our usage of such expressions. More precisely, content-externalism presupposes that literal meaning and cognitive content are in lockstep with each other; which, it is shown, is not the case and---what is also shown---only appears to be the case because of a failure on the part of semanticists to know where to draw the line between semantics and pragmatics. (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)

Roderick Chisholm appears to agree with Kant on the question of the existence of synthetic a priori knowledge. But Chisholm’s conception of the a priori is a traditional Aristotelian conception and differs markedly from Kant’s. Closer scrutiny reveals that their agreement on the question of the synthetic a priori is merely verbal: what Kant meant to affirm, Chisholm denies. Curiously, it looks as if Chisholm agreed on all substantive issues with the empiricist rejection of (...) Kant’s synthetic a priori. In the end, it turns out that Chisholm disagrees with both, empiricism and Kant, over a fundamental question: whether mere understanding of the contents of our thoughts must always remain within the circle of our own ideas or can provide us with genuine knowledge of matters of fact. (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)

Abstract: This article contends that the relation of early logical empiricism to Kant was more complex than is often assumed. It argues that Reichenbach's early work on Kant and Einstein, entitled The Theory of Relativity and A Priori Knowledge (1920) aimed to transform rather than to oppose Kant's Critique of Pure Reason. One the one hand, I argue that Reichenbach's conception of coordinating principles, derived from Kant's conception of synthetic a priori principles, offers a valuable (...) way of accounting for the historicity of scientific paradigms. On the other hand, I show that even Reichenbach, in line with Neo-Kantianism, associated Kant's view of synthetic a priori principles too closely with Newtonian physics and, consequently, overestimated the difference between Kant's philosophy and his own. This is even more so, I point out, in the retrospective account logical empiricism presented of its own history. Whereas contemporary reconstructions of this history, including Michael Friedman's, tend to endorse this account, I offer an interpretation of Kant's conception of a priori principles that contrasts with the one put forward by both Neo-Kantianism and logical empiricism. On this basis, I re-examine the early Reichenbach's effort to accommodate these principles to the paradigm forged by Einstein. (shrink)

La Critique de la raison pure a la réputation d'être un ouvrage assez positiviste, dont la thèse fondamentale, et fatale à la métaphysique, consisterait à limiter la science ou la connaissance au champ de l'expérience possible. Il est pourtant manifeste que l'interrogation kantienne ne roule pas du tout sur les sciences expérimentales, mais sur la praticabilité d'un science strictement rationnelle, d'une épistémè au sens platonicien et leibnizien du terme. Depuis l'empirisme, la réalité d'un tel savoir ne va plus de (...) soi. Le problème que la méditation critique de Kant sera la première à affronter de manière systématique sera justement celui de la viabilité d'un connaissance a priori, qui est essentiellement celui de la possibilité d'un savoir fondamental ou philosophique. Voilà le sens de la célèbre question : comment des jugements synthétiques a priori sont-ils possibles? Ce qui reste beaucoup moins connu, c'est la réponse de Kant à ce problème dont il a par ailleurs si bien marqué l'urgence. Kant répond-il quelque part de manière claire et distincte à la question du bien-fondé des propositions synthétiques a priori en métaphysique? Cet ouvrage entend montrer que oui en s'inspirant tout particulièrement de la Déduction transcendantale et du Canon de la raison pure, où l'on découvrira l'authentique conclusion à la Critique de 1781. On parviendra ainsi à éclairer dans toute sa rigueur non seulement le problème, mais aussi la solution kantienne au dilemme de la légitimité de l'a priori, question qui engage toute la postérité de Kant et notre modernité philosophique. (shrink)

The paper joins Horwich’s criticism of stipulationist accounts of a priori knowledge, and raises some problems for his own account of the a priori. It first questions the assumed separability of scientific investigation and non-scieentific assertoric practices in regard to norms of adequacy. It also questioned Horwich’s Restriction Assumption according to which only the former are answerable to the standards of empirical adequacy and overall simplicity (which threaten apriority in the case of science). Finally, it criticises his (...) argument that inability to think otherwise might guarantee apriority, pointing to science-driven reflective revisability of possibly innate beliefs. (shrink)

The Kantian idea that some judgments are synthetic even in the area of a priori judgments cannot be accepted in its original version, but a modification of the notions analytic' and 'synthetic' discovers a rational core of that idea. The new definition of 'analytic' concerns concepts and makes it possible to distinguish between analytic concepts, which are effective ways of computing recursive functions, and synthetic concepts, which either define non-recursive functions, or define recursive functions in an (...) ineffective way. To justify this claim we have to construe concepts as abstract procedures not reducible to set-theoretical entities. (shrink)

SummaryThe paper is concerned with the connection between Kant's conception of transcendental schematism and his analysis of the conditions of the possibility of synthetic a priori judgments. After dealing with some of the standard objections to Kant's theory, I argue that transcendental schemata must be construed as pure intuitions. I then point out that the Principles of Pure Understanding are a set of synthetic a priori judgments which assert the function of the various schemata (...) as necessary conditions of the possibility of experience, and that each of these judgments involves the relation of a pure concept to pure intuition . Finally, I argue that the connection between a category and its schema must itself be both synthetic and a priori. It therefore requires a “deduction”, which Kant himself does not provide, but which I endeavor, in part, to provide for him. (shrink)

In this interesting and engaging book, Shabel offers an interpretation of Kant's philosophy of mathematics as expressed in his critical writings. Shabel's analysis is based on the insight that Kant's philosophical standpoint on mathematics cannot be understood without an investigation into his perception of mathematical practice in the seventeenth and eighteenth centuries. She aims to illuminate Kant's theory of the construction of concepts in pure intuition—the basis for his conclusion that mathematical knowledge is synthetic a priori. (...) She does this through a contextualized interpretation of his notion of mathematical construction, which she argues can be approached by looking at Euclid's Elements and Christian Wolff's mathematical textbooks. The importance of the former for her interpretation is justified by the fact that nearly all of Kant's mathematical examples in the Critique are Euclidean propositions. The importance of the latter is revealed through the fact that Wolff's textbooks were not only widely read and representative of the state of elementary mathematics during Kant's time; Kant was also intimately familiar with them. During the thirty years prior to the publication of the Critique, he used the textbooks in the college-level introductory courses in mathematics and physics that he taught.In the introduction to her book, Shabel helpfully distinguishes her approach to Kant's philosophy of mathematics from that of previous commentators. She points out that most commentators assessed Kant's thoughts on mathematics in terms of the ‘supposedly devastating effects of the discovery of non-Euclidean geometry on his theory of space’ .1 Bertrand Russell, for example, criticized Kant for his lack of a proper …. (shrink)

The main thesis defended in this paper is that Hildebrand’s distinction between what we could call quiddities—or “quasi-essences,” endowed with chaotic and accidental unity—and genuine essences possessing an intrinsically necessary unity, grounds the radical distinction between analytic and synthetic a priori knowledge. This thesis has not been expressly emphasized by Hildebrand himself. In order to prove it, we: (1) relate the three types of unities distinguished by Hildebrand with the three kinds of judgments discriminated by Kant; (2) (...) outline what we can call the “crux of empiricism”; (3) analyze four characteristic examples of synthetic a priori judgements; and (4) elaborate a provisional typology of synthetic a priori propositions, trying to include in it Hildebrand’s favorite examples. (shrink)

The main thesis defended in this paper is that Hildebrand’s distinction between what we could call quiddities—or “quasi-essences,” endowed with chaotic and accidental unity—and genuine essences possessing an intrinsically necessary unity, grounds the radical distinction between analytic and synthetic a priori knowledge. This thesis has not been expressly emphasized by Hildebrand himself. In order to prove it, we: relate the three types of unities distinguished by Hildebrand with the three kinds of judgments discriminated by Kant; outline what (...) we can call the “crux of empiricism”; analyze four characteristic examples of synthetic a priori judgements; and elaborate a provisional typology of synthetic a priori propositions, trying to include in it Hildebrand’s favorite examples. (shrink)

This book is concerned with the alleged capacity of the human mind to arrive at beliefs and knowledge about the world on the basis of pure reason without any dependence on sensory experience. Most recent philosophers reject the view and argue that all substantive knowledge must be sensory in origin. Laurence BonJour provocatively reopens the debate by presenting the most comprehensive exposition and defence of the rationalist view that a priori insight is a genuine basis for (...) knowledge. This important book will be at the centre of debate about the theory of knowledge for many years to come. (shrink)

(K1) All knowledge of necessary propositions is a priori. (K2) All propositions known a priori are necessary. (K3) All knowledge of analytic propositions is a priori; and (K4) Some propositions known a priori are synthetic.

In this interesting and engaging book, Shabel offers an interpretation of Kant's philosophy of mathematics as expressed in his critical writings. Shabel's analysis is based on the insight that Kant's philosophical standpoint on mathematics cannot be understood without an investigation into his perception of mathematical practice in the seventeenth and eighteenth centuries. She aims to illuminate Kant's theory of the construction of concepts in pure intuition—the basis for his conclusion that mathematical knowledge is synthetic a priori. (...) She does this through a contextualized interpretation of his notion of mathematical construction, which she argues can be approached by looking at Euclid's Elements and Christian Wolff's mathematical textbooks. The importance of the former for her interpretation is justified by the fact that nearly all of Kant's mathematical examples in the Critique are Euclidean propositions. The importance of the latter is revealed through the fact that Wolff's textbooks were not only widely read and representative of the state of elementary mathematics during Kant's time; Kant was also intimately familiar with them. During the thirty years prior to the publication of the Critique, he used the textbooks in the college-level introductory courses in mathematics and physics that he taught.In the introduction to her book, Shabel helpfully distinguishes her approach to Kant's philosophy of mathematics from that of previous commentators. She points out that most commentators assessed Kant's thoughts on mathematics in terms of the ‘supposedly devastating effects of the discovery of non-Euclidean geometry on his theory of space’.1 Bertrand Russell, for example, criticized Kant for his lack of a proper …. (shrink)

The connection of Hermann Сohen’s “The Logic of Pure Knowledge” with the revolutionary transformations in physics and mathematics at the end of the 19th century is shown. Сohen criticised Kant’s answer to the question “How is mathematics possible”? If Kant refers to a priori forms of pure intuition, Сohen sees in it a restriction of freedom of mathematical thinking by limits of intuition. It has been shown that Cohen's position is in accordance with the main development (...) of mathematics in the last decades of the 19th century, in particular, with K. Weierstrass’ striving to get rid of geometrical or mechanical images and intuitions in the mathematical analysis. Cohen was also well informed about the latest ideas in physics of his time. They are also discussed in “The Logic of Pure Knowledge.” The revolutionary spirit of physics and mathematics was appealing to Cohen, and he felt a corresponding enthusiasm for it. The ongoing scientific revolution is consonant with Cohen’s assertion that the foundations of science are hypotheses. The purity of pure thinking does not guarantee the correctness of any of its constructions. Each step in the development of science requires a critique of existing notions. The development of knowledge from the naive to the critical one shows a movement from a picture of the world as a set of stable things to a picture of continuous movement and change, where change is more important than what changes. Cohen sees such a development in an evolution of the concept of substance in modern physics and he welcomes the replacement of material substance by energy, seeing this movement as a confirmation of critical idealism. Finally, it is discussed whether we can speak of the actuality of Cohen’s logic of pure knowledge. (shrink)