This paper contains a criticism of mathematical constructivism, i.e. the class of views in the philosophy and foundations of mathematics according to which only constructive notions and methods of proof should be allowed in mathematics. Three main arguments are deployed against such view and its philosophical background. Firstly, an argument from pluralism: constructivism often appeals to intuitive evidence as the root of mathematics, effectively excluding large parts of classical, ab-stract mathematics. But appeals to «intuition» are utterly subjective and unstable, which (...) results in multitude of incompatible constructivist systems of mathematics and makes any criticism toward classical mathematics as «non-constructive» unsubstanti-ated. Secondly, an argument which shows that epistemological arguments, deployed by many constructivists against intelligibility of classical mathematics, are unsound, and moreover, consistent appeal to such arguments leaves constructivists in no position to avoid the menace of ultrafinitism. Thirdly, it is argued that constructivism faces a dilemma whether to consider mathematical truth as what is actually proved, or what is provable, and that this dilemma is unsolvable in a satisfactory way, because the first horn of the dilemma is highly counter-intuitive or absurd, and the second one is impossible to square with constructivist views. (shrink)

W artykule przedstawione i analizowane są trzy kontrprzykłady dla tezy, że wszystkie zdania matematyczne są konieczne, tzn. koniecznie prawdziwe lub koniecznie fałszywe: argument z przygodnych relacyjnych własności empirycznych, argument z własności wynikających z konwencjonalnych reprezentacji i argument z relatywizacji do modelu. Pierwsze dwa argumenty poddają się łatwemu podważeniu, do zakwestionowania trzeciego natomiast potrzebne jest przyjęcie dość silnego stanowiska realistycznego w teorii mnogości.

Bertrand Russell paid considerable attention to the problem of universals throughout his long life. One of main factors which contributed to Russell’s rejection of Hegelian philosophy (which is commonly viewed as a beginning of analytic philosophy) was rejection of so-called internal relations theory, according to which relations reduce to properties of relata or of the whole composed of them. For Russell relations were examples of indispensable universals. Russell is also famous for developing the similarity argument for realism: if we want (...) to get rid of universals by reducing them to sets of objects similar in a certain respect, we have to accept similarity as a genuine universal, for otherwise we are threatened by a vicious regress. The paper contains a presentation of evolution of Russell’s thought regarding universals and a defense of similarity argument against criticism of Michał Hempoliński, according to which causal explanations are sufficient to explain the similarity of objects. It is argued that such explanations are insufficient, as they do not apply to, for example, fundamental particles, like electrons, and the view that there are no fundamental (indivisible) particles is threatened by another vicious regress. (shrink)

Modal ontological arguments are often claimed to be immune to the flqqperfect islandfrqq objection of Gaunilo, because necessary existence does not apply to material, contingent things. But Gaunilo’s strategy can be reformulated: we can speak of non-contingent beings, like quasi-Gods or evil God. The paper is intended to show that we can construct ontological arguments for the existence of such beings, and that those arguments are equally plausible as theistic modal argument. This result does not show that this argument is (...) fallacious, but it shows that it is dialectically ineffective as an argument for theism. (shrink)

Michel Foucault's death in 1984 coincided with the fading away of the hopes for social transformation that characterized the postwar period. In the decades following his death, neoliberalism has triumphed and attacks on social rights have become increasingly bold. If Foucault was not a direct witness of these years, his work on neoliberalism is nonetheless prescient: the question of liberalism occupies an important place in his last works. Since his death, Foucault's conceptual apparatus has acquired a central, even dominant position (...) for a substantial segment of the world's intellectual left. However, as the contributions to this volume demonstrate, Foucault's attitude towards neoliberalism was at least equivocal. Far from leading an intellectual struggle against free market orthodoxy, Foucault seems in many ways to endorse it. How is one to understand his radical critique of the welfare state, understood as an instrument of biopower? Or his support for the pandering anti-Marxism of the so-called new philosophers? Is it possible that Foucault was seduced by neoliberalism? This question is not merely of biographical interest: it forces us to confront more generally the mutations of the left since May 1968, the disillusionment of the years that followed and the profound transformations in the French intellectual field over the past thirty years. To understand the 1980s and the neoliberal triumph is to explore the most ambiguous corners of the intellectual left through one of its most important figures. (shrink)

In the philosophy of language, conceptual role semantics (hereafter CRS) is a theory of what constitutes the meanings possessed by expressions of natural languages, or the propositions expressed by their utterance. In the philosophy of mind, it is a theory of what constitutes the contents of psychological attitudes, such as beliefs or desires. CRS comes in a variety of forms, not always clearly distinguished by commentators. Such versions are known variously as functional/causal/computational role semantics, and more broadly as use-theories of (...) meaning. Nevertheless, all are united in seeking the meaning or content of an item, not in what it is made of, nor in what accompanies or is associated with it, but in what is done with it, the use it is put to. Roughly, according to CRS, the meaning or propositional content of an expression or attitude is determined by the role it plays in a person’s language or in her cognition. Currently, many view CRS as the main rival to theories that take notions such as truth or reference as central (for example, Davidson 2001), although the relationship between the two is not straightforward. The following outlines the main varieties of CRS, provides a cursory survey of its history, introduces the central arguments offered in its favor, and provisionally assesses how the variants fair against a number of prominent criticisms. (shrink)

Jeffrey (1983) proposed a generalization of conditioning as a means of updating probability distributions when new evidence drives no event to certainty. His rule requires the stability of certain conditional probabilities through time. We tested this assumption (“invariance”) from the psychological point of view. In Experiment 1 participants offered probability estimates for events in Jeffrey’s candlelight example. Two further scenarios were investigated in Experiment 2, one in which invariance seems justified, the other in which it does not. Results were in (...) rough conformity to Jeffrey (1983)’s principle. (shrink)

From dogs to gods, the science of understanding mysterious minds--including your own. Nothing seems more real than the minds of other people. When you consider what your boss is thinking or whether your spouse is happy, you are admitting them into the "mind club." It's easy to assume other humans can think and feel, but what about a cow, a computer, a corporation? What kinds of mind do they have? Daniel M. Wegner and Kurt Gray are award-winning psychologists who (...) have discovered that minds--while incredibly important--are a matter of perception. Their research opens a trove of new findings, with insights into human behavior that are fascinating, frightening and funny. The Mind Club explains why we love some animals and eat others, why people debate the existence of God so intensely, how good people can be so cruel, and why robots make such poor lovers. By investigating the mind perception of extraordinary targets--animals, machines, comatose people, god--Wegner and Gray explain what it means to have a mind, and why it matters so much. Fusing cutting-edge research and personal anecdotes, The Mind Club explores the moral dimensions of mind perception with wit and compassion, revealing the surprisingly simple basis for what compels us to love and hate, to harm and to protect. (shrink)

��People spent 5 min before sleep at home writing their stream of thought as they suppressed thoughts of a target person, thought of the person, or wrote freely after mentioning the person. These presleep references generally prompted people to report increased dreaming about the person. However, suppression instructions were particularly likely to have this in- fluence, increasing dreaming about the person as measured both by participants’ self-ratings of their dreams and by raters’ coding of mentions of the person in written (...) dream reports. This effect was observed regardless of emotional attraction to the person. (shrink)

Consider this chess puzzle. White to checkmate in two. It appeared recently in the Boston Globe, and what startled me about it was that I had thought it had been proven that you can’t checkmate with a lone knight (and a king, of course). This is a counterexample, a strange circumstance that can arise in a legal game of chess. This fact is a higher-order truth of chess, namely that the “proof” that you can never checkmate with a lone knight (...) and king is unsound. Now let’s consider chmess (I made up the term); it’s the game that you get by allowing the king to move two spaces, not one, in any direction. I made it up and I don’t know if anybody has ever played it. I have no idea whether it’s worth playing. Probably it isn’t, but it doesn’t matter; it’s not even worth our attention long enough to figure out. But a moment’s reflection reveals that there are exactly as many higher-order a priori truths of chmess as there are of chess, namely, an infinity of them. And no doubt they would be roughly as difficult to discover and to prove as the higherorder truths of chess. There are people who make a living working out the truths of chess and certainly it’s been a big avocation for many other people. But I doubt if anybody yet has spent more than 5 minutes trying to work out the a priori truths, and the higher-order truths, of chmess. (shrink)

Spatial attention and eye-movements are tightly coupled, but the precise nature of this coupling is controversial. The influential but controversial Premotor theory of attention makes four specific predictions about the relationship between motor preparation and spatial attention. Firstly, spatial attention and motor preparation use the same neural substrates. Secondly, spatial attention is functionally equivalent to planning goal directed actions such as eye-movements (i.e. planning an action is both necessary and sufficient for a shift of spatial attention). Thirdly, planning a goal (...) directed action with any effector system is sufficient to trigger a shift of spatial attention. Fourthly, the eye-movement system has a privileged role in orienting visual spatial attention. This article reviews empirical studies that have tested these predictions. Contrary to predictions one and two there is evidence of anatomical and functional dissociations between endogenous spatial attention and motor preparation. However, there is compelling evidence that exogenous attention is reliant on activation of the oculomotor system. With respect to the third prediction, there is correlational evidence that spatial attention is directed to the endpoint of goal-directed actions but no direct evidence that this attention shift is dependent on motor preparation. The few studies to have directly tested the fourth prediction have produced conflicting results, so the extent to which the oculomotor system has a privileged role in spatial attention remains unclear. Overall, the evidence is not consistent with the view that spatial attention is functionally equivalent to motor preparation so the Premotor theory should be rejected, although a limited version of the Premotor theory in which only exogenous attention is dependent on motor preparation may still be tenable. A plausible alternative account is that activity in the motor system contributes to biased competition between different sensory representations with the winner of the competition becoming the attended item. (shrink)

Wittgenstein famously remarks that ‘the meaning of a word is its use’ (PI §43). Whether or not one views this as gesturing at a ‘theory’ of meaning, or instead as aiming primarily at dissuading us from certain misconceptions of language that are a source of puzzlement, it is clear that Wittgenstein held that for certain purposes the meaning of an expression could profitably be characterised as its use. Throughout his later writings, however, Wittgenstein’s appeal to the notion of use pulls (...) in two directions. In several places, Wittgenstein seems to connect the notion of an expression’s meaning with that of use in the sense of usage or practice. More specifically, he suggests that for an expression to possess meaning is for there to be a practice of employing it according to certain rules. ‘That’, he tells us, ‘is why there exists a correspondence between the concepts “rule” and “meaning”’ (OC §62; cf. PG 68; PO 51; RFM VI §28; VW 103). Indeed, Wittgenstein goes so far as to say, ‘The rule-governed nature of our languages permeates our life’ (RC §303). Call the view that the meaning of an expression is determined by a general principle governing its use, rulism. (shrink)

Can Rawls’s theory provide a framework for assessing obligations to future generations? Extending the veil of ignorance so that participants in the original position do not know to which generation they belong appears to fail in this endeavour. Earlier generations cannot improve their situation by “cooperating” with later generations. Such circumstances, lacking mutuality, leave no room for an agreement or contract. Nevertheless, the original position can be reconstructed so as to model relations of mutuality between generations even if these are (...) absent from the real world. This chapter assesses earlier attempts to do this and provides a rationale for viewing the just savings principle as a clause in the full formulation of the difference principle. (shrink)

How can a just peace be built in sites of genocide, massive civil war, dictatorship, terrorism, and poverty? In Strategies of Peace, the first volume in the Studies in Strategic Peacebuilding series, fifteen leading scholars propose an imaginative and provocative approach to peacebuilding. Today the dominant thinking is the "liberal peace," which stresses cease fires, elections, and short run peace operations carried out by international institutions, western states, and local political elites. But the liberal peace is not enough, the authors (...) argue. A just and sustainable peace requires a far more holistic vision that links together activities, actors, and institutions at all levels. By exploring innovative models for building lasting peace-a United Nations counter-terrorism policy that also promotes good governance; coordination of the international prosecution of war criminals with local efforts to settle civil wars; increasing the involvement of religious leaders, who have a unique ability to elicit peace settlements; and many others--the authors advance a bold new vision for peacebuilding. (shrink)

It is well known that Aristotle tries to make room for self-motion – an idea he inherits to some extent from Plato – within his other commitments to causal determinism while at the same time modifying the idea. However, one argument in Physics VII 1 seems to pose a problem for the bare possibility of self-motion; in it he seems to argue that everything that moves must be moved by something else. The text in which this argument appears is itself (...) vexed on a number of fronts, because it is not clear how Physics VII fits with the rest of the Physics, and also because there are two distinct manuscript traditions for Physics VII. So the argument in Physics VII 1 has not been adequately taken into account in discussions of self-motion. I argue for a new and charitable reading of Aristotle’s Physics VII 1 α241b35-242a49 / β241b25-242a15. I show that the argument is compatible with Aristotle’s endorsements of self-motion; I defend the argument’s most controversial premise; and I argue that my reading has some useful implications for understanding Aristotelian self-motion. (shrink)

This article discusses how the words 'necessary' and 'analytic' are suitably used in philosophy. It is argued that analytic statements should not be called 'necessary'.

Forms of failure in later Beethoven.- In the later style of Beethoven can be seen certain modes of expression which could be understood as a criticism of absolute idealism. The way in which the sonata-form breaks up is what best illustrates the failure of hegemonic subjecti-vity.

Los materiales producidos por entidades ligadas a la salud de las infancias como la OMS, UNICEF o la OPS tienden a enumerar argumentos en contra de las tecnologías, desde los que se desalienta el “uso”, la “exposición” o el “consumo” de pantallas por parte de niñas y niños. Los diseños curriculares para la educación inicial, al contrario, se refieren a las tecnologías como parte de los saberes a enseñar, como oportunidades para la innovación, potenciales recursos para la enseñanza o incluso (...) como rasgos de las llamadas nuevas infancias. En este artículo procuraremos analizar los escenarios de encuentro entre infancias y tecnologías que surgen de ambas fuentes, sobre la hipótesis de que consideran escenarios muy diferentes: no hablan de las mismas tecnologías ni de las mismas infancias. La producción se inscribe en un estudio en curso de la Universidad Pedagógica Nacional, titulado “Infancias, tecnologías digitales y escuela: un análisis desde la educación infantil”. (shrink)

This chapter presents an account of the life and work of Francis Hutcheson. It charts his career from its beginnings in Dublin to the attempt to cement his place in British intellectual life that was his posthumously published A System of Moral Philosophy. Hutcheson’s ideas were not universally welcomed and acclaimed. Religious conservatives constantly challenged him even after he was elected to the Glasgow chair of moral philosophy. The chapter describes the rationalist critique of Hutcheson’s moral sense theory, the criticism (...) levelled at his conception of natural benevolence by those who remained attached to philosophical egoism, and the complaints of those who, under the influence often of Joseph Butler, believed that Hutcheson’s ethics needed to be supplemented by a more substantial account of moral obligation. (shrink)

The essays trace carefully the histories of the influences of earlier thinkers and their legacies upon later thinkers.

This interview was conducted over two sittings, on October 21, 2009 and January 8, 2010 respectively. What appears below is a reproduction of the interview through notes on the first session, and a recording of the second. I would like to thank Professor Taylor for his understanding of the technological problems that occurred during the first sitting, as well as for taking the time to meet twice and review those sections of the interview not transcribed from a recording. I would (...) also like to thank my wife, Janelle, for listening to the recording, and reviewing the transcribed sections. (shrink)

This introduction to logic, which aims to reflect recent advances in the field, focuses on natural language, analyzing the structure of arguments conducted in English. The text includes problems with which students can test their skills.