Judging by our folk appraisals, then, knowledge and action are intimately related. The theories of rational action with which we are familiar leave this unexplained. Moreover, discussions of knowledge are frequently silent about this connection. This is a shame, since if there is such a connection it would seem to constitute one of the most fundamental roles for knowledge. Our purpose in this paper is to rectify this lacuna, by exploring ways in which knowing something is related to rationally acting (...) upon it, defending one particular proposal against anticipated objections. (shrink)

Dasgupta poses a serious challenge to realism about natural properties. He argues that there is no acceptable explanation of why natural properties deserve the value realists assign to them and are consequently absent of value. In response, this paper defines and defends an alternative non-explanatory account of normativity compatible with realism. Unlike Lewis and Sider, who believe it is sufficient to defend realism solely on realist terms, I engage with the challenge on unfriendly grounds by revealing a tu quoque. Dasgupta (...) and anti-realists face a similar challenge to that directed against realism: one that not only undermines the objection to realism by legitimising non-explanatory normativity but leaves them facing a significant dilemma. (shrink)

The paper begins by reviewing two problems for fallibilism: the lottery problem, or the problem of explaining why fallible evidence, though otherwise excellent, is not enough to know that one will lose the lottery, and Gettier problems. It is then argued that both problems can be resolved if we note an important illocutionary force of knowledge attributions: namely, that when we attribute knowledge to someone we mean to give the person credit for getting things right. Alternatively, to say that a (...) person knows is to say that she got things right due to her own abilities, efforts and actions, rather than due to dumb luck, or blind chance, or something else. (shrink)

Under what conditions are two utterances utterances of the same word? What are words? That these questions have not received much attention is rather surprising: after all, philosophers and linguists frequently appeal to considerations about word and sentence identity in connection with a variety of puzzles and problems that are foundational to the very subject matter of philosophy of language and linguistics.1 Kaplan’s attention to words is thus to be applauded. And there is no doubt that his discussion contains many (...) useful insights. Nevertheless, we find his picture deeply flawed for a variety of crosscutting reasons. Our aim in this paper is to further advance an understanding of the nature of words, both by remedying the problems with Kaplan’s account, and also by achieving a suitable perspective on what the metaphysical investigation of word identity can hope to achieve. Our discussion divides into four parts. In Part One, we examine and critique Kaplan’s discussion of a contrast integral to his own account: that between the type-token and the stage-continuant conceptions of words. In Part Two, we present three constraints on any account of words and two further themes in Kaplan’s discussion central to his conception of words – the role of repetition and the constitutive authority of intentions. While these ideas have laudable motivations, we argue they are far from the best way of making good on the insights that drive them. The final two sections take a skeptical turn. In Part Three, we express doubt about Kaplan’s presumption of the importance of what he calls ‘common currency names’, thus raising a suspicion that he may be in pursuit of chimera. Finally, in Part Four, we express pessimism about whether interesting answers to question above will be forthcoming, and suggest that the legitimacy of our word ontology need not depend on the availability of such answers. Along the way, we tease apart a number of metaphysical questions in the vicinity of the topic of word individuation – questions that are often not disentangled – and consider how the discussion of the previous parts bears on them.. (shrink)

Does Anne Conway (1631–79) hold that the created world consists of a single underlying substance? Some have argued that she does; others have argued that she is a priority monist and so holds that there are many created substances, but the whole created world is ontologically prior to each particular creature. Against both of these proposals, this article makes the case for a substance pluralist interpretation of Conway: individual creatures are distinct substances, and the whole created world is not ontologically (...) prior to the individual creatures that compose it. The basic argument for such a view draws on Conway's claims about the freedom and moral responsibility of individual creatures. The pluralist reading is straightforwardly compatible with these claims, while the monistic readings are not. (shrink)

Almost everyone believes that testimony can transmit knowledge from speaker to hearer. What some philosophers mean by this is ordinary and pedestrian-- they mean only that, in at least some cases, a speaker S knows that p, S testifies that p to a hearer H, and H comes to know that p as a result of believing S's testimony. There is disagreement about how this occurs, but that it does occur is sufficient for the transmission of knowledge in the intended (...) sense. On this understanding of transmission, the natural questions are these: (1) What conditions, in addition to speaker knowledge and speaker testimony, are sufficient for the hearer to gain testimonial knowledge?; and (2) Is speaker knowledge always necessary for testimonial knowledge? That is: Is all testimonial knowledge transmitted knowledge? (shrink)

We think we have lots of substantial knowledge about the future. But contemporary wisdom has it that indeterminism prevails in such a way that just about any proposition about the future has a non-zero objective chance of being false.2, 3 What should one do about this? One, pessimistic, reaction is scepticism about knowledge of the future. We think this should be something of a last resort, especially since this scepticism is likely to infect alleged knowledge of the present and past. (...) One anti-sceptical strategy is to pin our hopes on determinism, conceding that knowledge of the future is unavailable in an indeterministic world. This is not satisfying either: we would rather not be hostage to empirical fortune in the way that this strategy recommends. A final strategy, one that we shall explore in this paper, is one of reconciliation: knowledge of a proposition is compatible with a subject’s belief having a non-zero objective chance of error.4 Following Williamson, we are interested in tying knowledge to the presence or absence of error in close cases, and so we shall explore the connections between knowledge and objective chance within such a framework. We don’t want to get tangled up here in complications involved in attempting to formulate a necessary and sufficient condition for knowledge in terms of safety. Instead, we will assume the following rough and ready necessary condition: a subject knows P only if she could not easily have falsely believed P.5 Assuming that easiness is to be spelt.. (shrink)

Part One of the paper argues against evidentialism and individualism in religiousepistemology, and in favor of a “social turn” in the field. The idea here is that humanbelief in general, and religious belief in particular, is largely characterized by epistemicdependence on other persons. An adequate epistemology, it is agued, ought to recognizeand account for social epistemic dependence.Part Two considers a problem that becomes salient when we make such a turn. Inshort, how are we to understand the transmission of knowledge and (...) rational faith in areligious tradition? The problem arises because, by all accounts, even the best traditionstransmit superstitions, self-serving prejudices, and other things that are down right falseon any reasonable view. So how is it that these same traditions can also transmit rationalfaith and even knowledge by means of the very same channels, for example channels ofreligious authority and religious teaching?Part Three offers a tentative solution to this problem. (shrink)

Thirteen meanings of 'implication' are described and compared. Among them are relations that have been called: logical implication, material implication,deductive implication, formal implication, enthymemic implication, and factual implication. In a given context, implication is the homogeneous two-place relation expressed by the relation verb 'implies'. For heuristic and expository reasons this article skirts many crucial issues including use-mention, the nature of the entities that imply and are implied, and the processes by which knowledge of these relations are achieved. This paper is (...) better thought of as an early stage of a dialogue than as a definitive treatise. (shrink)

One innovation in this paper is its identification, analysis, and description of a troubling ambiguity in the word ‘argument’. In one sense ‘argument’ denotes a premise-conclusion argument: a two-part system composed of a set of sentences—the premises—and a single sentence—the conclusion. In another sense it denotes a premise-conclusion-mediation argument—later called an argumentation: a three-part system composed of a set of sentences—the premises—a single sentence—the conclusion—and complex of sentences—the mediation. The latter is often intended to show that the conclusion follows from (...) the premises. The complementarity and interrelation of premise-conclusion arguments and premise-conclusion-mediation arguments resonate throughout the rest of the paper which articulates the conceptual structure found in logic from Aristotle to Tarski. This 1972 paper can be seen as anticipating Corcoran’s signature work: the more widely read 1989 paper, Argumentations and Logic, Argumentation 3, 17–43. MR91b:03006. The 1972 paper was translated into Portuguese. The 1989 paper was translated into Spanish, Portuguese, and Persian. (shrink)

In the Tractatus Theologico-Politicus (TTP), Spinoza argues that an individual’s natural right extends as far as their power. Subsequently, in the Tractatus Politicus (TP), he offers a revised argument for the same conclusion. Here I offer an account of the reasons for the revision. In both arguments, an individual’s natural right derives from God’s natural right. However, the TTP argument hinges on the claim that each individual is part of the whole of nature (totius naturae), and for this reason inherits (...) part of the natural right of that whole. Using several analogous cases from the Ethics, I show that this form of argument from division is not compatible with Spinoza’s considered metaphysical views. The revised argument, by contrast, avoids the pitfalls of his earlier efforts. It also better reveals the deep roots by which the monistic metaphysics of the Ethics feeds into Spinoza’s conception of natural right. (shrink)

In this paper I discuss critically Richard Swinburne’s concept of God, which I find to be incoherent, and his understanding of Christianity, which I find to be based on a precritical use of the New Testament.

Recent discussions of how axioms are extrinsically justified have appealed to abductive considerations: on such accounts, axioms are adopted on the basis that they constitute the best explanation of some mathematical data, or phenomena. In the first part of this paper, I set out a potential problem caused by the appeal made to the notion of mathematical explanation and suggest that it can be remedied once it is noted that all the justificatory work is done by appeal to the theoretical (...) virtues. In the second part of the paper, I appeal to the theoretical virtues account of axiom justification to provide an argument that judgements of theoretical virtuousness, and therefore of extrinsic justification, are subjective in a substantive sense. This tells against a recent claim by Penelope Maddy that such justification is “wholly objective”. (shrink)

Anne Conway rejects the view that creatures are essentially members of any natural kind more specific than the kind 'creature'. That is, she rejects essentialism about species membership. This chapter provides an analysis of one of Anne Conway's arguments against such essentialism, which (as I argue) is drawn from metaethical rather than metaphysical premises. In her view, if a creature's species or kind were inscribed in its essence, that essence would constitute a limit on the creature's potential to participate in (...) the divine good. It is this consideration that ultimately leads her to reject essentialism about species membership. The chapter concludes with an examination of some of the metaethical consequences of Conway's view as well as a lesson it can teach us about ideal adviser accounts of the good. (shrink)

Contrary to common misconceptions, today's logic is not devoid of existential import: the universalized conditional ∀ x [S→ P] implies its corresponding existentialized conjunction ∃ x [S & P], not in all cases, but in some. We characterize the proexamples by proving the Existential-Import Equivalence: The antecedent S of the universalized conditional alone determines whether the universalized conditional has existential import, i.e. whether it implies its corresponding existentialized conjunction.A predicate is an open formula having only x free. An existential-import predicate (...) Q is one whose existentialization, ∃ x Q, is logically true; otherwise, Q is existential-import-free or simply import-free.How abundant or widespread is existential import? How abundant or widespread are existential-import predicates in themselves or in comparison to import-free predicates? We show that existential-import predicates are quite abundant, and no less so than import-free predicates. Existential.. (shrink)

We show that someone who believes in both gunk and the possibility of supertasks has to give up either a plausible principle about where gunk can be located, or plausible conservation principles.

ABSTRACT: The Reflexive Theory of Perception (RTP) claims that perception of an object or property X by an organism Z consists in Z being caused by X to acquire some disposition D toward X itself. This broadly behavioral perceptual theory explains perceptual intentionality and correct versus incorrect, plus successful versus unsuccessful, perception in a plausible evolutionary framework. The theory also undermines cognitive and perceptual modularity assumptions, including informational or purely epistemic views of perception in that, according to the RTP, any (...) X-caused and X-directed dispositions are genuinely perceptual—including affective, attitudinal, and immediately activated purely action-directed behavioral dispositions. Thus the RTP has the potential to provide the foundations for a broadly behavioral counter-revolution in cognitive science. (shrink)

In this paper I will take it for granted that Zagzebski's position articulates a broadly Catholic perspective, and that Plantinga's position accurately represents a broadly Calvinist one. But I will argue that so construed, the Catholic and the Calvinist are much closer than Zagzebski implies: both views are person-based in an important sense of that term; both are internalist on Zagzebski's usage and externalist on the standard usage; and Plantinga's position is consistent with the social elements that Zagzebski stresses in (...) her view. In the second part of the paper I will identify what I think is the real issue between Zagzebski and Plantinga. Namely, Zagzebski thinks that knowledge requires epistemic responsibility, in the sense that instances of knowledge must be appropriately praiseworthy. Plantinga thinks that no such condition is required for knowledge or warranted belief. I will argue that on this issue Zagzebski is right, and that her virtue approach gives us resources for seeing why. Finally, I will look at the consequences for religious knowledge. Here I will argue that the consequences are minimal. Even if knowledge requires responsibility, Plantinga can still make a good case that religious belief is properly basic. And even if religious belief is properly basic, natural theology can still have an important role in the justification of religious belief. (shrink)

We are much better equipped to let the facts reveal themselves to us instead of blinding ourselves to them or stubbornly trying to force them into preconceived molds. We no longer embarrass ourselves in front of our students, for example, by insisting that “Some Xs are Y” means the same as “Some X is Y”, and lamely adding “for purposes of logic” whenever there is pushback. Logic teaching in this century can exploit the new spirit of objectivity, humility, clarity, observationalism, (...) contextualism, and pluralism. Besides the new spirit there have been quiet developments in logic and its history and philosophy that could radically improve logic teaching. This lecture expands points which apply equally well in first, second, and third courses, i.e. in “critical thinking”, “deductive logic”, and “symbolic logic”. (shrink)

Recent attempts to answer ontological questions through conceptual analysis have been controversial. Still, it seems reasonable to assume that if the existence of certain things analytically follows from sentences we already accept, then there is no further ontological commitment involved in affirming the existence of those things. More generally, it is plausible that whenever a sentence analytically entails another, the conjunction of those sentences requires nothing more of the world for its truth than the former sentence alone. In his ‘Analyticity (...) and Ontology’, Louis deRosset tries to produce counterexamples to these principles by means of linguistic stipulations. I aim to show where his arguments go wrong. (shrink)

How can it be true that one sees a lake when looking at a picture of a lake, since one's gaze is directed upon a flat dry surface covered in paint? An adequate contemporary explanation cannot avoid taking a theoretical stand on some fundamental cognitive science issues concerning the nature of perception, of pictorial content, and of perceptual reference to items that, strictly speaking, have no physical existence. A solution is proposed that invokes a broadly functionalist, naturalistic theory of perception, (...) plus a double content analysis of perceptual interpretation, which permits non-supervenient, culturally autonomous modes of reference to be generated and artistically exploited even in a purely physical world. In addition, a functionalist concept of broad or 'spread' reference replaces the traditional precise intentional concept of reference, which previously made reference to non-existent items theoretically intractable. (shrink)

This chapter investigates Spinoza's conception of reason, focusing on (i) the difference between reason and the imagination, and (ii) the difference between reason and intuitive knowledge. The central interpretive debate this chapter considers is about the scope of rational cognition. Some commentators have argued that it is only possible to have rational cognition of properties that are universally shared, whereas intuitive knowledge may grasp the essences of particular individuals. Another prominent interpretation is that reason differs from intuition only in virtue (...) of its form or manner of apprehension, and not in virtue of the content or ideas it apprehends. However, authors on both sides of the debate have held that reason is incapable of grasping singular things. After summarizing the debate, this chapter presents an argument that Spinozan reason is not blind to particulars: it is (at least sometimes) capable of grasping the causal structure that characterizes an individual. (shrink)

It is generally accepted that Picasso might have used a different canvas as the vehicle for his painting Guernica, and also that the artwork Guernica itself necessarily represents a certain historical episode—rather than, say, a bowl of fruit. I argue that such a conjunctive acceptance entails a broadly propositional view of the nature of representational artworks. In addition, I argue—via a comprehensive examination of possible alternatives—that, perhaps surprisingly, there simply is no other available conjunctive view of the nature of representational (...) artworks in general. CiteULike Connotea Del.icio.us What's this? (shrink)

Critical thinking involves deliberate application of tests and standards to beliefs per se and to methods used to arrive at beliefs. Pedagogical license is authorization accorded to teachers permitting them to use otherwise illicit means in order to achieve pedagogical goals. Pedagogical license is thus analogous to poetic license or, more generally, to artistic license. Pedagogical license will be found to be pervasive in college teaching. This presentation suggests that critical thinking courses emphasize two topics: first, the nature and usefulness (...) of critical thinking; second, the nature and pervasiveness of pedagogical license. Awareness of pedagogical license alerts the student to the need for critical thinking. Indoctrination is done to students; education is done by students. (shrink)

An information recovery problem is the problem of constructing a proposition containing the information dropped in going from a given premise to a given conclusion that folIows. The proposition(s) to beconstructed can be required to satisfy other conditions as well, e.g. being independent of the conclusion, or being “informationally unconnected” with the conclusion, or some other condition dictated by the context. This paper discusses various types of such problems, it presents techniques and principles useful in solving them, and it develops (...) algorithmic methods for certain classes of such problems. The results are then applied to classical number theory, in particular, to questions concerning possible refinements of the 1931 Gödel Axiom Set, e.g. whether any of its axioms can be analyzed into “informational atoms”. Two propositions are “informationally unconnected” [with each other] if no informative (nontautological) consequence of one also follows from the other. A proposition is an “informational atom” if it is informative but no information can be dropped from it without rendering it uninformative (tautological). Presentation, employment, and investigation of these two new concepts are prominent features of this paper. (shrink)

Recent debates about mathematical ontology are guided by the view that Platonism's prospects depend on mathematics' explanatory role in science. If mathematics plays an explanatory role, and in the right kind of way, this carries ontological commitment to mathematical objects. Conversely, the assumption goes, if mathematics merely plays a representational role then our world-oriented uses of mathematics fail to commit us to mathematical objects. I argue that it is a mistake to think that mathematical representation is necessarily ontologically innocent and (...) that there is an argument from mathematics' representational capacity to Platonism. Given that it is common ground between the Platonist and nominalist that mathematics plays a representational role in science, this representationalist argument is to be preferred over the explanatory, or enhanced, indispensability argument. (shrink)

I argue that perceptual content involves representations both of aspects of objects, and of objects themselves, whether at the level of conscious perception, or of low-level perceptual processing - a double content structure. I present an 'orientational' theory of the relations of the two kinds of perceptual content, which can accommodate both the general semantic possibility of perceptual misrepresentation, and also species of it involving characteristic perceptual confusions of aspectual and intrinsic content. The resulting theoretical structure is argued to be (...) a broadly methodological or logical one, rather than a substantive theory that is open to empirical refutation. (shrink)

This paper argues that juridification has become the enemy of legality. By 'juridification' is meant the proliferation of legal norms and legally recognized norms. By legality is meant conformity with the ideal of the rule of law. The paper begins with the most obvious ways in which juridification threatens legality. Too much law makes the law on any subject hard to discover, hard to remember, and hard to follow. It also makes us too dependent on the discretion of petty officials, (...) who are therefore not sufficiently constrained by law. But the paper looks beyond the discretion of petty officials and argues that, in a way, the biggest threat to legality of our age comes from the proliferation of contractual norms, and the increasing diversion of contractual dispute-resolution into arbitration (and other ADR processes). The paper argues that those who rely on the law to recognise contracts should be subjected to an non-excludable jurisdiction of the courts in respect of all questions of law arising under those contracts, including their proper legal meaning. A compulsory arbitration clause, in other words, should be valid only subject to extensive judicial review of the arbitrator’s decisions. It is argued that contractual arbitration (and other ADR) that does not meet this condition is free-riding on the work of courts and professional lawyers, and should be regarded as antisocial – and that this is true even when it does more perfect justice between the parties. (shrink)

Spanish translation and notes on John Dewey’s The Sources of a Science of Education. Published in Dewey, John. Las fuentes de la ciencia de la educación. Girona: Lapislàtzuli Editorial, September 2015 (ISBN: 978–84–943707–4–8).

This work treats the correlative concepts knowledge and opinion, in various senses. In all senses of ‘knowledge’ and ‘opinion’, a belief known to be true is knowledge; a belief not known to be true is opinion. In this sense of ‘belief’, a belief is a proposition thought to be true—perhaps, but not necessarily, known to be true. All knowledge is truth. Some but not all opinion is truth. Every proposition known to be true is believed to be true. Some but (...) not every proposition believed to be true is known to be true. Our focus is thus on propositional belief (“belief-that”): the combination of propositional knowledge (“knowledge-that”) and propositional opinion (“opinion-that”). Each of a person’s beliefs, whether knowledge or opinion, is the end result of a particular thought process that continued during a particular time interval and ended at a particular time with a conclusive act—a judgment that something is the case. This work is mainly about beliefs in substantive informative propositions—not empty tautologies. We also treat objectual knowledge (knowledge of objects in the broadest sense, or “knowledge-of”), operational knowledge (abilities and skills, “knowledge-how-to”, or “know-how”), and expert knowledge (expertise). Most points made in this work have been made by previous writers, but to the best of our knowledge, they have never before been collected into a coherent work accessible to a wide audience. -/- Key words: belief, knowledge/opinion, propositional, operational, objectual, cognition, . (shrink)

This paper corrects a mistake I saw students make but I have yet to see in print. The mistake is thinking that logically equivalent propositions have the same counterexamples—always. Of course, it is often the case that logically equivalent propositions have the same counterexamples: “every number that is prime is odd” has the same counterexamples as “every number that is not odd is not prime”. The set of numbers satisfying “prime but not odd” is the same as the set of (...) numbers satisfying “not odd but not not-prime”. The mistake is thinking that every two logically-equivalent false universal propositions have the same counterexamples. Only false universal propositions have counterexamples. A counterexample for “every two logically-equivalent false universal propositions have the same counterexamples” is two logically-equivalent false universal propositions not having the same counterexamples. The following counterexample arose naturally in my sophomore deductive logic course in a discussion of inner and outer converses. “Every even number precedes every odd number” is counterexemplified only by even numbers, whereas its equivalent “Every odd number is preceded by every even number” is counterexemplified only by odd numbers. Please let me know if you see this mistake in print. Also let me know if you have seen these points discussed before. I learned them in my own course: talk about learning by teaching! (shrink)

Information-theoretic approaches to formal logic analyze the "common intuitive" concepts of implication, consequence, and validity in terms of information content of propositions and sets of propositions: one given proposition implies a second if the former contains all of the information contained by the latter; one given proposition is a consequence of a second if the latter contains all of the information contained by the former; an argument is valid if the conclusion contains no information beyond that of the premise-set. This (...) paper locates information-theoretic approaches historically, philosophically, and pragmatically. Advantages and disadvantages are identified by examining such approaches in themselves and by contrasting them with standard transformation-theoretic approaches. Transformation-theoretic approaches analyze validity (and thus implication) in terms of transformations that map one argument onto another: a given argument is valid if no transformation carries it onto an argument with all true premises and false conclusion. Model-theoretic, set-theoretic, and substitution-theoretic approaches, which dominate current literature, can be construed as transformation-theoretic, as can the so-called possible-worlds approaches. Ontic and epistemic presuppositions of both types of approaches are considered. Attention is given to the question of whether our historically cumulative experience applying logic is better explained from a purely information-theoretic perspective or from a purely transformation-theoretic perspective or whether apparent conflicts between the two types of approaches need to be reconciled in order to forge a new type of approach that recognizes their basic complementarity. (shrink)

Pictorial representation is one species of visual representation--but not the only one, I argue. There are three additional varieties or species of visual representation--namely 'structural', 'aspect' and 'integrative' representation--which together comprise a category of 'delineative' rather than depictive visual representation. I arrive at this result via consideration of previously neglected orientational factors that serve to distinguish the two categories. I conclude by arguing that pictures (unlike 'delineations') are not physical objects, and that their multiplicity and modal narrowness motivates a view (...) of them as instead being (one kind of) 'delineatively' represented content or subject matter, as represented by those objects that are (commonly but wrongly, in my view) assumed to be pictures. (shrink)

In the performing arts, including music, theater, dance and so on, theoretical issues both about artworks and about performances of them must be dealt with, so that their theoretical analysis is inherently more complex and troublesome than that of nonperforming arts such as painting or film, in which primarily only artworks need to be discussed. Thus it is especially desirable in the case of the performing arts to look for defensible broad theoretical simplifications or generalizations that could serve to unify (...) and potentially comprehensively explain these difficult cases. (shrink)

It is widely agreed by philosophers that the so-called “Frege-Russell definition of natural number” is actually an assertion concerning the nature of the numbers and that it cannot be regarded as a definition in the ordinary mathematical sense. On the basis of the reasoning in this paper it is clear that the Frege-Russell definition contradicts the following three principles (taken together): (1) each number is the same entity in each possible world, (2) each number exists in each possible world, (3) (...) some entities existing in the actual world do not exist in every possible world. Since these principles seem to be true, the paper is a refutation of the Frege-Russell definition. The paper does more. It shows that the contradictory of the Frege-Russell definition follows even when principles 2 and 3 are replaced by one considerably weaker principle. The ideas contained in the paper are related to two earlier objections to the definition. The first, sometimes attributed to the mathematician, C. S. Keyser, is that existence of the numbers as defined implies the existence of infinitely many particulars in each possible world. The second is, in effect, an idea which is said to have led Whitehead to reject the definition of number to which he had subscribed in Principia Mathematica. Whitehead is supposed to have said that he could not believe that the number two changes every “time twins are born”. The mathematician H. Jeffreys expressed similar ideas [Philos. of Sci. 5 (1938), 434–451]. One of the merits of the author’s work is that it refutes the Frege-Russell definition without the need to take sides on controversial points presupposed by the Keyser and Whitehead objections. The objections made by the author are therefore not to be identified with the Keyser and Whitehead objections. Even if the author’s work is to be regarded as a refinement and integration of previous ideas, it is nevertheless a contribution—not only because the basic points are well worth repeating but also because the refinements are logically significant improvements and because the author has stated them clearly and concisely in the idiom of contemporary philosophy. (shrink)

Contrary to dictionaries, a non sequitur isn’t “any statement that doesn’t follow logically from previous statements”. Otherwise, every opening statement would be a non sequitur: a non sequitur is a statement claimed to follow from previous statements but that doesn’t follow. If the sentence making a given statement doesn’t contain ‘thus’, ‘so’, ‘hence’, ‘therefore’, or something else indicating an implication claim, the statement isn’t a non sequitur in this sense. But this is only one of several senses of that expression, (...) which, contrary to appearances, is a unitary common noun more properly written as one word: non-sequitur or nonsequitur. Above a nonsequitur was, roughly speaking, a conclusion of an invalid premise- conclusion argument, but not every such, only those that were stated to follow from premises that had been stated. Every informative proposition is the conclusion of an invalid argument. Anyway, nonsequiturs were not arguments. However, the expression ‘nonsequitur’ also means “invalid premise- conclusion argument”. It also means something like “fallacious reasoning” as in ‘Abe’s proof of the big-bang hypothesis is a nonsequitur’. The English noun is also used for an irrelevancy, an abrupt change of topic, or for any of many other expressions that are gratuitous, inappropriate, incongruous, or in some other way out of place. The English noun is derived from the Latin expression ‘non sequitur’, which is not a common noun but a sentence variously meaning “it isn’t in sequence ”, “it doesn’t follow”, “it is out of order”, etc. A statement that begins ‘in the second place’ is a nonsequitur if the previous sentence lacked implication of something like ‘in the first place’ or if it contained something similar to ‘in the third place’. In fact, a true implication claim can be a nonsequitur if there is no reason for making it. If Ben says ‘Hence, Abe swims and Abe swims’ in reply to Carl’s statement ‘Abe swims‘, then Ben may well be committing a nonsequitur. Many conversation stoppers are nonsequiturs. This lecture surveys and analyses a wide selection of uses of ‘nonsequitur’ in logic and logic-related literature. -/- END OF DRAFT 4 -/- NOTE 091215: When Rick Perry was discussing possible withdrawal from the race—unfortunately not the human race but the Republican race—a reporter reminded him that just last week Donald Trump predicted the Perry withdrawal. Perry interrupted with “A broken clock is right once a day”. -/- If you did not know Perry you might think his reply was a brilliant diversionary nonsequitur. If you know Perry you might think his reply was a stupid nonsequitur. -/- For the record, he did say ‘once a day’, not ‘twice a day’. BTW, my interjection ‘unfortunately not the human race but the Republican race’ was also a nonsequitur. (shrink)

The expressions ‘form’, ‘structure’, ‘schema’, ‘shape’, ‘pattern’, ‘figure’, ‘mold’, and related locutions are used in logic both as technical terms and in metaphors. This paper juxtaposes, distinguishes, and analyses uses of [FOR these PUT such] expressions by logicians. No [FOR such PUT similar] project has been attempted previously. After establishing general terminology, we present a variant of traditional usage of the expression ‘logical form’ followed by a discussion of the usage found in the two-volume Chateaubriand book Logical Forms (2001 and (...) 2005)—the most comprehensive work on the subject ever written and in many ways the focus of this paper. Key Words: morphology, character, sense, sentence, proposition, form, structure, schema, alternative constituent, type, token . (shrink)

This paper will annoy modern logicians who follow Bertrand Russell in taking pleasure in denigrating Aristotle for [allegedly] being ignorant of relational propositions. To be sure this paper does not clear Aristotle of the charge. On the contrary, it shows that such ignorance, which seems unforgivable in the current century, still dominated the thinking of one of the greatest modern logicians as late as 1831. Today it is difficult to accept the proposition that Aristotle was blind to the fact that, (...) for example, incommensurability is a relation and not a property: that the proposition “In every square, the diagonals are incommensurable with the sides” is relational and not categorical. This paper asks the reader to do something more difficult: to accept the proposition that as late as 1831 De Morgan was blind to the same fact. This paper shows conclusively that in 1831, De Morgan was still in the grips of the allegedly Aristotelian paradigm. (shrink)

Peter H. Hare (1935-2008) developed informed, original views about the proposition: some published (Hare 1969 and Hare-Madden 1975); some expressed in conversations at scores of meetings of the Buffalo Logic Colloquium and at dinners following. The published views were expository and critical responses to publications by Curt J. Ducasse (1881-1969), a well-known presence in American logic, a founder of the Association for Symbolic Logic and its President for one term.1Hare was already prominent in the University of Buffalo's Philosophy Department in (...) 1969 when I was appointed. Soon after, he became Chair. As his Associate Chair from 1971to 1975, I spent many hours with him in Buffalo and on professional trips .. (shrink)

PUTNAM has made highly regarded contributions to mathematics, to philosophy of logic and to philosophy of science, and in this book he brings his ideas in these three areas to bear on the traditional philosophic problem of materialism versus (objective) idealism. The book assumes that contemporary science (mathematical and physical) is largely correct as far as it goes, or at least that it is rational to believe in it. The main thesis of the book is that consistent acceptance of contemporary (...) science requires the acceptance of some sort of Platonistic idealism affirming the existence of abstract, non-temporal, non-material, non-mental entities (numbers, scientific laws, mathematical formulas, etc.). The author is thus in direct opposition to the extreme materialism which had dominated philosophy of science in the first three quarters of this century. The book can be recommended to the scientifically literate, general reader whose acquaintance with these areas is limited to the literature of the 1950’s and before, when it had been assumed that empiricistic materialism was the only philosophy compatible with a scientific outlook. To this group the book presents an eye-opening challenge fulfilling the author’s intention of “shaking up preconceptions and stimulating further discussion”. QUINE’S book is not easy to read, partly because the level of sophistication fluctuates at high frequency between remote extremes and partly because of convoluted English prose style and devilish terminology. Almost all of the minor but troublesome technical errata in the first printing have been corrected [see reviews, e.g., the reviewer, Philos. Sci. 39 (1972), no. 1, 97–99]. In the opinion of the reviewer the book is not suitable for undergraduate instruction, and without external motivation few mathematicians are likely to have the patience to appreciate it. Nevertheless, a careful study of the book will more than repay the effort and one should expect to find frequent references to this book in coming years. (shrink)

Interview of Katrin Flikschuh, Rainer Forst and Darrel Moellendorf by Valentin Beck and Julian Culp for Global Justice: Theory Practice Rhetoric.

The British government's current educational policy for England draws on E.D. Hirsch's writings on 'cultural literacy'. This paper aims to uncover the roots of Hirsch’s influential views through a genealogical critique. Hirsch admired the Scottish Enlightenment educator Hugh Blair as a model architect of a hegemonic culture to unite disparate members of a nation. Following Hirsch, the government Department for Education in England called for ‘shared appreciation of cultural reference points’ and ‘a common stock of knowledge on which all can (...) draw and trade’. Consequently, the literature curriculum in England increasingly disenfranchises a significant component of the population in terms of both gender and cultural heritage. Recent ‘culture wars’ have highlighted the legacy of colonialism and have led educators to decolonise the curriculum and prioritise social justice. Continuing racism within civil society demonstrates the need for a general recognition that cultures are desirably diverse and internally plural. (shrink)

The article shows the interlacement of political philosophy and philosophy of education by justifying educational justice as central normative ground for analyzing educational policies as well as by defending a democratic conception of educational justice. In order to ground the importance of the concept of educational justice, the article explains the shortcomings of the alternative – functionalist and liberal perfectionist – normative grounds of educational policy. Then, the article develops a democratic conception of educational justice by first of all criticizing (...) the liberal conception of equal educational opportunity on the ground that it implicitly accepts as valid the socially existing understanding of educational success. Based on this critique the article defends a democratic conception of educational justice that demands the institutionalization of educational practices that prepare students to define themselves as democratic citizens what educational success should mean. (shrink)

Philosophical debates about educational justice concern the justification, the contents, and the realization of rights to education, and they take place at the intersection of political philosophy and philosophy of education. On the one hand, theorists of educational justice turn to conceptions of justice within political philosophy and use them as normative foundations when developing their conceptions of educational justice. On the other hand, they draw on conceptions of moral and political education within philosophy of education to show how persons (...) would eventually adopt and develop attitudes, knowledge, and skills that are needed to build and maintain a just social and political order. Due to this close interlacement between political philosophy and philosophy of education, it is apt to use the label political philosophy of education or philosophy of political education to characterize this distinctive field of philosophical research. Despite this interlacement, however, the intense and wide-ranging debates on global justice within contemporary political philosophy have hardly influenced the current debates on educational justice. The aim of this article is to transcend the national framing of the current discussion on educational justice by presenting a democratic conception of global educational justice. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Think Least of Death: Spinoza on How to Live and How to Die by Steven NadlerJohn GreySteven Nadler. Think Least of Death: Spinoza on How to Live and How to Die. Princeton, NJ: Princeton University Press, 2020. Pp. x + 234. Hardback, $39.95.Think Least of Death is not just an interpretation of Spinoza, but a defense of his philosophy. Nadler develops Spinoza's arguments in ways that are intended (...) both to reflect Spinoza's views and to persuade us that the views in question are true. He uses success language throughout to describe Spinoza's ideas ("What Spinoza discovered, and what he wants us to know, is that..." [11]) and arguments ("Spinoza... has demonstrated, rigorously and a priori, that..." [188]). Nadler is not just a Spinoza scholar here; he also thinks that Spinoza basically got it right. It would be a mistake, then, to evaluate Think Least of Death solely on its interpretive merits as a reading of Spinoza's Ethics. It is more fruitful to look at the places where Nadler not only describes, but apparently endorses, Spinoza's views.Following Nadler, I will focus here on the practical philosophy. Briefly put, Spinoza takes the right way of living to consist in adherence to the dictates of reason, which prescribe "that everyone love himself, seek his own advantage... and 'absolutely, that everyone should strive to preserve his own being as far as he can'" (191). These general principles issue in more specific directives based on facts about human nature. For instance, since the nature of the human mind is such that it always benefits from further understanding, reason directs us to strive for further understanding. To the extent that a human being lives in accordance with such dictates of reason, they will feel joyful, be free, and act virtuously. Conversely, when they are driven by their passions rather than reason, they will often feel sorrow, lack autonomy, and do things that are harmful to themselves and others. This is the source of whatever motivating power these directives have: necessarily, following them conduces to our self-interest.A crucial point for Nadler is that these facts about human nature are the same for each human being. This implies that "there is in fact an objective, non-arbitrary determination of what constitutes a more perfect or ideal human being" (28), the ideal that Spinoza variously refers to as the model of human nature or the free man. On Nadler's reading, Spinoza's notion of the free man (which he treats as equivalent to the model of human nature) is not "some creature of the imagination or reflection of personal taste" (29), but a representation of "the ideal state toward which every individual [human] naturally and necessarily... strives" (29). [End Page 708]A signal contribution of the book is to show that the free person's life is a realizable goal rather than an unattainable ideal. The free person is determined to act by reason alone, yes—but this is compatible with him or her also having passions, so long as those passions do not determine his or her behavior. A free person might feel fear at the prospect of death or suffering, but that fear will not determine what he or she does. Instead, the free person's actions will be determined by the guidance of reason and the positive affects (joy, love, self-esteem, and the like).Since the life of the free person is in principle attainable, Nadler proposes that we take the free person's life as a model for how we ourselves should live. For instance, when Spinoza writes that "a free man always acts honestly" (E 4P72), the implication is that we ourselves should always act honestly. Now, there is an apparent inconsistency in this position, nicely articulated by Don Garrett ("'A Free Man Always Acts Honestly, Not Deceptively': Freedom and the Good in Spinoza's Ethics," in Nature and Necessity in Spinoza's Philosophy [New York: Oxford University Press, 2018], 441–61). The free man—living entirely according to the guidance of reason—always acts honestly. Yet reason also guides us to seek our own advantage, and sometimes the... (shrink)

Rising powers are fundamentally shifting the relations of power in the global economic and political landscape. International political theory, however, has so far failed to evaluate this nascent multipolarity. This article fills this lacuna by synthesizing empirical and normative modes of inquiry. It examines the transformation of sovereignty exercised by emerging democracies and focuses especially on the case of Brazil. The paper shows that – in stark contrast to emerging democracies’ foreign policy rhetoric – the ‘softening’ of sovereignty, which means (...) that emerging powers gain as well as lose certain aspects of sovereignty, has become the norm. The paper explores this softening of sovereignty from the perspective of global justice by assessing it on the basis of globalist, statist, and internationalist conceptions of global justice. We find that the emergent multipolarity contributes in various ways to the realization of the distinct socioeconomic and political criteria of these three conceptions of global justice. However, we also point out that the transformation of sovereignty generates particular problems for the realization of all three conceptions. (shrink)

Rising powers are fundamentally shifting the relations of power in the global economic and political landscape. International political theory, however, has so far failed to evaluate this nascent multipolarity. This article fills this lacuna by synthesizing empirical and normative modes of inquiry. It examines the transformation of sovereignty exercised by emerging democracies and focuses especially on the case of Brazil. The paper shows that – in stark contrast to emerging democracies’ foreign policy rhetoric – the ‘softening’ of sovereignty, which means (...) that emerging powers gain as well as lose certain aspects of sovereignty, has become the norm. The paper explores this softening of sovereignty from the perspective of global justice by assessing it on the basis of globalist, statist, and internationalist conceptions of global justice. We find that the emergent multipolarity contributes in various ways to the realization of the distinct socioeconomic and political criteria of these three conceptions of global justice. However, we also point out that the transformation of sovereignty generates particular problems for the realization of all three conceptions. (shrink)