Inconsistency and contradiction are important concepts. Unfortunately, they are easily confused. A proposition or belief which is inconsistent is one which is self- contradictory and vice-versa. Moreover two propositions or beliefs which are contradictories are inconsistent with each other. Nonetheless it is a mistake to suppose that inconsistency is the same as contradiction.

Moore’s paradox is the fact that assertions or beliefs such asBangkok is the capital of Thailand but I do not believe that Bangkok is the capital of Thailand or Bangkok is the capital of Thailand but I believe that Bangkok is not the capital of Thailand are ‘absurd’ yet possibly true. The current orthodoxy is that an explanation of the absurdity should first start with belief, on the assumption that once the absurdity in belief has been explained then this will (...) translate into an explanation of the absurdity in assertion. This assumption gives explanatory priority to belief over assertion. I show that the translation involved is much trickier than might at first appear. It is simplistic to think that Moorean absurdity in assertion is always a subsidiary product of the absurdity in belief, even when the absurdity is conceived as irrationality. Instead we should aim for explanations of Moorean absurdity in assertion and in belief that are independent even if related, while bearing in mind that some forms of irrationality may be forms of absurdity even if not conversely. (shrink)

(A) I went to the pictures last Tuesday but I don’t believe that I did (1942, p. 543) or (B) I believe that he has gone out. But he has not (1944, p. 204) would be “absurd” (1942, p. 543; 1944, p. 204). Wittgenstein’s letters to Moore show that he was intensely interested in this discovery of a class of possibly true yet absurd assertions. Wittgenstein thought that the absurdity is important because it is “something similar to a contradiction, thought (...) it isn’t one” (1974, p. 177). What is the explanation of the absurdity of saying or believing something about myself that might be true? Wittgenstein thought that although the explanation will say “something about the logic of assertion” it will also show that “logic isn’t as simple as logicians think it is”. So although the explanation should.. (shrink)

Neil Sinhababu and I presented Backward Clock, an original counterexample to Robert Nozick’s truth-tracking analysis of propositional knowledge. Fred Adams, John Barker and Murray Clarke argue that Backward Clock is no such counterexample. Their argument fails to nullify Backward Clock which also shows that other tracking analyses, such as Dretske’s and one that Adams et al. may well have in mind, are inadequate.

Realism for the 21st Century is a collection of thirty essays from John Deely—a major figure in contemporary semiotics and an authority on scholastic realism and the works of Charles Sanders Peirce. The volume tracks Deely's development as a pragmatic realist, featuring his early essays on our relation to the world after Darwinism; crucial articles on logic, semiotics, and objectivity; overviews of philosophy after modernity; and a new essay on “purely objective reality.”.

'An impressive synthesis of semiotics and anthropology which puts human experience in a new light. Deely gives us the foundation for a new paradigm for anthropology.' -Nathan Houser, Peirce Edition Project.

The paper is a study of the logic of existence, negation, and order in the Neoplatonic tradition. The central idea is that Neoplatonists assume a logic in which the existence predicate is a comparative adjective and in which monadic predicates function as scalar adjectives that nest the background order. Various scalar predicate negations are then identifiable with various Neoplatonic negations, including a privative negation appropriate for the lower orders of reality and a hyper-negation appropriate for the higher. Reversion to the (...) One can then be explained as the logical inference of hyper-negations from mundane knowledge. Part I develops the relevant linguistic and logical theory, and Part II defends Wolfson and the scalar interpretation against the more traditional Aristotelian understanding of Whittaker and others of reversion as intensional abstraction. (shrink)

This book shows otherwise. John Martin rehabilitates Neoplatonism, founded by Plotinus and brought into Christianity by St. Augustine.

It is raining but you don’t believe that it is raining. Imagine accepting this claim. Then you are committed to saying ‘It is raining but I don’t believe that it is raining’. This would be an ‘absurd’ thing to claim or assert, yet what you say might be true. It might be raining, while at the same time, you are completely ignorant of the state of the weather. But how can it be absurd of you to assert something about yourself (...) that might be true of you? This is Moore’s paradox as it occurs in speech. What is the source of the absurdity? And why does it strike us that a contradiction is somehow at work when there is no contradiction in the content of what is asserted? In Section 2, I describe Moore’s formulation of the paradox and evaluate his own solutions. In Section 3, I discuss Wittgenstein’s inf luence in solving the paradox. In Section 4, I discuss Shoemaker’s priority thesis that once the absurdity in belief has been explained, then this will translate into an explanation of the absurdity in assertion. In Section 5, I discuss work on omissive and commissive Moore-paradoxical assertions, i.e. those of the forms p & I don’t believe that p and p & I believe that not-p. In Section 6, I discuss work on assertions of the form p & I don’t know that p. (shrink)

This paper is roughly in two parts. The first deals with whether know-how is constituted by propositional knowledge, as discussed primarily by Gilbert Ryle (1949) The concept of mind. London: Hutchinson, Jason Stanley and Timothy Williamson (2001). Knowing how. Journal of Philosophy, 98, pp. 411–444 as well as Stephen Hetherington (2006). How to know that knowledge-that is knowledge-how. In S. Hetherington (Ed.) Epistemology futures. Oxford: Oxford University Press. The conclusion of this first part is that know-how sometimes does and sometimes (...) does not consist in propositional knowledge. The second part defends an analysis of know-how inspired by Katherine Hawley’ (2003). Success and knowledge-how. American Philosophical Quarterly, 40, pp. 19–31, insightful proposal that know-how requires counterfactual success. I conclude by showing how this analysis helps to explain why know-how sometimes does and sometimes does not consist of propositional knowledge. (shrink)

An investigation of Proclus' logic of the syllogistic and of negations in the Elements of Theology, On the Parmenides, and Platonic Theology. It is shown that Proclus employs interpretations over a linear semantic structure with operators for scalar negations (hypemegationlalpha-intensivum and privative negation). A natural deduction system for scalar negations and the classical syllogistic (as reconstructed by Corcoran and Smiley) is shown to be sound and complete for the non-Boolean linear structures. It is explained how Proclus' syllogistic presupposes converting the (...) tree of genera and species from Plato's diairesis into the Neoplatonic linear hierarchy of Being by use of scalar hyper and privative negations. (shrink)

First published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.

I argue that Moore's propositions, for example, 'I went to the pictures last Tuesday but I don't believe that I did' cannot be rationally believed. Their assertors either cannot be rationally believed or cannot be believed to be rational. This analysis is extended to Moorean propositions such as God knows that I am an atheist and I believe that this proposition is false. I then defend the following definition of assertion: anyone asserts that p iff that person expresses a belief (...) that p with the intention of causing relevant epistemic change in the cognition of an actual or potential audience. (shrink)

John N Andrews; General Thinking Skills: are there such things?, Journal of Philosophy of Education, Volume 24, Issue 1, 30 May 2006, Pages 71–79, https://doi.o.

It is raining but you don’t believe that it is raining. Imagine silently accepting this claim. Then you believe both that it is raining and that you don’t believe that it is raining. This would be an ‘absurd’ thing to believe,yet what you believe might be true. Itmight be raining, while at the same time, you are completely ignorant of the state of the weather. But how can it be absurd of you to believe something about yourself that might be (...) true of you? This is Moore’s paradox as it occurs in thought. Solving the paradox consists in explaining why such beliefs are absurd. I give a survey of some of the main explanations. I largely deal with explanations of the absurdity of ‘omissive’ beliefs with contents of the form p & I don’t believe that p and of ‘commissive beliefs’ with contents of the form p & I believe that not-p as well as beliefs with contents of the form p & I don’t know that p. (shrink)

Contrary to what the author dismisses as false claims of postmodernity, the work shows that what is truly postmodern in philosophy both goes beyond modernity and recovers philosophy's past in a renewed understanding of the human condition.

This book sets out for the first time in English and in the terms of modern logic the semantics of the Port Royal Logic of Antoine Arnauld and Pierre Nicole, perhaps the most influential logic book in the 17th and 18th centuries. Its goal is to explain how the Logic reworks the foundation of pre-Cartesian logic so as to make it compatible with Descartes' metaphysics. The Logic's authors forged a new theory of reference based on the medieval notion of objective (...) being, which is essentially the modern notion of intentional content. Indeed, the book's central aim is to detail how the Logic reoriented semantics so that it centered on the notion of intentional content. This content, which the Logic calls comprehension, consists of an idea's defining modes. Mechanisms are defined in terms of comprehension that rework earlier explanations of central notions like conceptual inclusion, signification, abstraction, idea restriction, sensation, and most importantly within the Logic's metatheory, the concept of idea-extension, which is a new technical concept coined by the Logic. Although Descartes is famous for rejecting "Aristotelianism," he says virtually nothing about technical concepts in logic. His followers fill the gap. By putting to use the doctrine of objective being, which had been a relatively minor part of medieval logic, they preserve more central semantic doctrines, especially a correspondence theory of truth. A recurring theme of the book is the degree to which the Logic hews to medieval theory. This interpretation is at odds with what has become a standard reading among French scholars according to which this 16th-century work should be understood as rejecting earlier logic along with Aristotelian metaphysics, and as putting in its place structures more like those of 19th-century class theory. (shrink)

G.E. Moore famously observed that to say, ‘I went to the pictures last Tuesday but I don’t believe that I did’ or ‘I believe that he has gone out, but he has not’. would be ‘absurd’. Moore-paradoxical omissive or commissive beliefs of the forms p & I do not believe that p and p & I believe that not-p. are also absurd, although their contents are possible truths. Can there be ‘Moorean desires’, namely desires of the forms I desire both (...) that and I desire both that that are ‘Moore-paradoxical’, in the sense that they are absurd roughly in the way Moore-paradoxical beliefs are absurd? I argue that the most promising approach to a yes is a normative account of doxastic Moore-paradoxicality that parallels a normative account of Moorean desire. It turns out that this won’t work, not because there are no norms of desire, but because the norms required are ones we should reject. Unlike Moorean belief, which is always irrational, Moorean desire, although often odd, is sometimes sensible. An interesting lesson to be learned along the way—and an important one for functionalism—is that the logic of desire differs from that of both belief and conscious belief. (shrink)

Mind, in pursuing its natural thrust toward knowing reality and knowing itself knowing reality, has too often carried along with itself an empty structure which interferes with its objective. This structure is the ordinary formal-logical categories possible, impossible, contingent, necessary.

This essay focuses on the development of Latin semiotics from Ockham to Poinsot as it took place mainly in the Iberian university world, with a discussion of the consequences of that development for logic and philosophy today.

‘Feuerbach resolves the religious essence into the human essence. But the human essence is no abstraction inherent in each single individual. In its reality it is the ensemble of social relations.’It is a common belief, shared both by Marxists and by critics of Marxism, that differences in the interpretation of this statement have important implications for the assessment of Marx's system of ideas. How we read it will affect our view of the unity of Marx's thought and of the continuity (...) of its development over his lifetime, and it will bear crucially on our appraisal of the epistemological status—metaphysical, scientific or mythopoeic—of the various elements of the Marxian system. Among Marxists, members of the Frankfurt School have emphasized the paternity of Marxian metaphysical humanism in Hegel's conception of man as a self-creating being, while Althusser and his disciples have seen in the extrusion from Marx's later work of any such ‘anthropomorphic’ notion a guarantee of the scientific character of his historical materialism. Among Marx's liberal critics, it is widely agreed that he espoused an essentialist view of man and, often enough, it is thought that this alone is sufficient to disqualify his system from scientific status. No consensus exists, however, as to the cognitive standing of the several components of Marx's thought. That agreement should be lacking as to the place in it of a conception of human nature is hardly surprising. Different construals of the role of a view of man will reflect divergent commitments, not only in the philosophy and methodology of social and historical inquiry, but in moral and political thought as well. (shrink)

In these lines Micio criticizes the way in which his brother Demea rears his son and implies comparison with his own method. Two types of imperium are contrasted, ‘imperium ’ and ‘illud quod amicitia adiungitur’. It is the latter phrase which will be discussed here. If this meant ‘si imperium tibi amicitia adiungas’, there would be no difficulty: cf. Cic. Mur. 41 ‘benevolentiam adiungit lenitate audiendi’; Sext. Rose. 116 ‘auxilium sibi se putat adiunxisse.’ The acquisition of imperium, however, is not (...) relevant here; Micio is talking of the imperium that a man has qua father and the point at issue is the manner in which each man administers this imperium. (shrink)

The paper shows that in the Art of Thinking (The Port Royal Logic) Arnauld and Nicole introduce a new way to state the truth-conditions for categorical propositions. The definition uses two new ideas: the notion of distributive or, as they call it, universal term, which they abstract from distributive supposition in medieval logic, and their own version of what is now called a conservative quantifier in general quantification theory. Contrary to the interpretation of Jean-Claude Parienté and others, the truth-conditions do (...) not require the introduction of a new concept of ‘indefinite’ term restriction because the notion of conservative quantifier is formulated in terms of the standard notion of term intersection. The discussion shows the following. Distributive supposition could not be used in an analysis of truth because it is explained in terms of entailment, and entailment in terms of truth. By abstracting from semantic identities that underlie distribution, the new concept of distributive term is definitionally prior to truth and can, therefore, be used in a non-circular way to state truth-conditions. Using only standard restriction, the Logic’s truth-conditions for the categorical propositions are stated solely in terms of (1) universal (distributive) term, (2) conservative quantifier, and (3) affirmative and negative proposition. It is explained why the Cartesian notion of extension as a set of ideas is in this context equivalent to medieval and modern notions of extension. (shrink)

The background to this paper is the question of how rational belief is possible in the light of the commonly presented infinite regress in reasons. The paper investigates the neglected question of whether this regress is vicious. I argue that given the genuine requirements of rational belief, The regress would require the rational believer to hold an infinity of beliefs, Which is impossible. The regress would not entail the rational believer holding an infinitely complex belief, Which, Admittedly, Would be logically (...) impossible. (shrink)

One tradition of solving the surprise exam paradox, started by Robert Binkley and continued by Doris Olin, Roy Sorensen and Jelle Gerbrandy, construes surpriseepistemically and relies upon the oddity of propositions akin to G. E. Moore’s paradoxical ‘p and I don’t believe that p.’ Here I argue for an analysis that evolves from Olin’s. My analysis is different from hers or indeed any of those in the tradition because it explicitly recognizes that there are two distinct reductios at work in (...) the student’s paradoxical argument against the teacher. The weak reductio is easy to fault. Its invalidity determines the structure of the strong reductio, so-calledbecause it is more difficult to refute, but ultimately unsound because of reasons associated with Moore-paradoxicality. Previous commentators have not always appreciated this difference, with the result that the strong reductio is not addressed, or the response to the weak reductio is superfl uous. This is one reason why other analyses in the tradition are vulnerable to objections to which mine is not. (shrink)

Moore’s paradox in belief is the fact that beliefs of the form ‘ p and I do not believe that p ’ are ‘absurd’ yet possibly true. Writers on the paradox have nearly all taken the absurdity to be a form of irrationality. These include those who give what Timothy Chan calls the ‘pragmatic solution’ to the paradox. This solution turns on the fact that having the Moorean belief falsifies its content. Chan, who also takes the absurdity to be a (...) form of irrationality, objects to this solution by arguing that it is circular and thus incomplete. This is because it must explain why Moorean beliefs are irrational yet, according to Chan, their grammatical third-person transpositions are not, even though the same proposition is believed. But the solution can only explain this asymmetry by relying on a formulation of the ground of the irrationality of Moorean beliefs that presupposes precisely such asymmetry. I reply that it is neither necessary nor sufficient for the irrationality that the contents of Moorean beliefs be restricted to the grammatical first-person. What has to be explained is rather that such grammatical non-first-person transpositions sometimes, but not always, result in the disappearance of irrationality. Describing this phenomenon requires the grammatical first-person/non-first person distinction. The pragmatic solution explains the phenomenon once it is formulated in de se terms. But the grammatical first-person/non-first-person distinction is independent of, and a fortiori, different from, the de se /non- de se distinction presupposed by pragmatic solution, although both involve the first person broadly construed. Therefore the pragmatic solution is not circular. Building on the work of Green and Williams I also distinguish between the irrationality of Moorean beliefs and their absurdity. I argue that while all irrational Moorean beliefs are absurd, some Moorean beliefs are absurd but not irrational. I explain this absurdity in a way that is not circular either. (shrink)