In a recent article, [Sergent, C. & Dehaene, S. . Is consciousness a gradual phenomenon? Evidence for an all-or-none bifurcation during the attentional blink, Psychological Science, 15, 720–729] claim to give experimental support to the thesis that there is a clear transition between conscious and unconscious perception. This idea is opposed to theoretical arguments that we should think of conscious perception as a continuum of clarity, with e.g., fringe conscious states [Mangan, B. . Sensation’s ghost—the non-sensory “fringe” of consciousness, (...) Psyche, 7, 18]. In the experimental study described in this article, we find support for this opposite notion that we should have a parsimonious account of conscious perception. Our reported finding relates to the hypothesis that there is more than one perceptual threshold [Merikle, P.M., Smilek, D. & Eastwood, J.D. . Perception without awareness: perspectives from cognitive psychology, Cognition, 79, 115–134], but goes further to argue that there are different “levels” of conscious perception. (shrink)

Within theoretical and empirical enquiries, many different meanings associated with consciousness have appeared, leaving the term itself quite vague. This makes formulating an abstract and unifying version of the concept of consciousness – the main aim of this article –into an urgent theoretical imperative. It is argued that consciousness, characterized as dually accessible (cognized from the inside and the outside), hierarchically referential (semantically ordered), bodily determined (embedded in the working structures of an organism or conscious system), and useful in action (...) (pragmatically functional), is a graded rather than an all-or-none phenomenon. A gradational approach, however, despite its explanatory advantages, can lead to some counterintuitive consequences and theoretical problems. In most such conceptions consciousness is extended globally (attached to primitive organisms or artificial systems), but also locally (connected to certain lower-level neuronal and bodily processes). For example, according to information integration theory (as introduced recently by Tononi and Koch, 2014), even such simple artificial systems as photodiodes possess miniscule amounts of consciousness. The major challenge for this article, then, is to establish reasonable, empirically justified constraints on how extended the range of a graded consciousness could be. It is argued that conscious systems are limited globally by the ability to individuate information (where individuated information is understood as evolutionarily embedded, socially altered, and private), whereas local limitations should be determined on the basis of a hypothesis about the action-oriented nature of the processes that select states of consciousness. Using these constraints, an abstract concept of consciousness is arrived at, hopefully contributing to a more unified state of play within consciousness studies itself. (shrink)

The aim of the article is to formulate a universal characterization of consciousness, despite the conceptual vagueness of that term. The fundamental aspects of this phenomenon as studied by science consist of four features: its being accessible from the inside and the outside (subjectively and objectively), its being about something (referential), its being bodily determined, and its possessing a certain function (being useful). Approached in this way and in broad terms, consciousness seems to be a graded rather than all-or-none (...) phenomenon. However, it is argued that the main problem for the gradational approach is to establish reasonable, empirically justified limits on how extended (locally and globally) the range of a graded consciousness could be. Such constraints should then help to avoid the counterintuitive consequences of IIT (Integrated Information Theory), which ascribes consciousness even to such simple artificial systems as photodiodes. The article introduces global limits for conscious systems by pointing to the ability to individuate information as a necessary developmental condition of subjective perspectives. Local limits, meanwhile, are determined on the basis of a hypothesis about the action-oriented nature of the processes that select states of consciousness. Ultimately, the limits put forward imply that consciousness is to be characterized as individuated information in action. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:A Hypothesis Concerning the Character of Islamic ArtAsli GocerWhy Islamic art has the distinctive features it has continues to generate clashing explanations. The Islamic visual treasury has no figural images, for instance, and three-dimensional sculpture or large scale oil painting, but instead contains miniatures, vegetal ornaments, arabesque surface patterns, and complex geometrical designs. To account for the phenomena the following radically opposing theories have been offered: the influence (...) of Judaism, the Quranic prohibition against making images, 1 Islamic resentment of the glory of Byzantine icons, 2 logocentricism of classical Islam, 3 the spiritual dimension of Islam, 4 tacit Islamic assertion of “otherness,” 5 and contingency of history. 6 The merits of these theories have been roundly discussed in the literature, and so I will not repeat the task here. I will insist that none of these theories offer a coherent explanation for all arts, but my presumption is that such an explanation is possible. In nonvisual arts the Muslim prefers simple tunes over that of the symphony, for instance, whirling dervishes over the ballet, and lyric poetry over dramatic literature. In my view what explains the common characteristic of all these arts is a certain kind of Islamic attitude informed by a certain philosophical outlook. Although it would be hasty to suggest the existence of a monolithic [End Page 683] Islamic art, it would be equally rash to deny some striking commonalities among its diverse examples. 7The following observation by a Muslim scholar is notable in this regard: “Whether in the great courtyard of the Delhi Mosque or the Qarawiyyin in Fez, one feels oneself within the same artistic and spiritual universe despite all the local variations in material, structural techniques, and the like.” 8 Some cite geometry as what mediates that feeling to the observer despite the cultural divergences in style. 9 Even those who have given up the search for the universal or the spiritual in Islamic art cannot help but see in it the classical ideal of beauty. 10 It is this classical heritage that in fact holds one of the important keys to the puzzle at hand. In particular I shall claim that Islamic art is the living image of what Plato has in mind for art in a theocratic state. Clearly, to refer to Plato and art in the same breath invites trouble. As is well enough known, giving a general interpretation of Plato’s views on the nature of art is a very complex endeavor. 11 Even in the face of grave difficulties in textual exegesis, however, there is sufficient evidence that Plato has some settled views on art. Those pertinent to our discussion here involve two claims, that beauty and goodness are divine and that all human endeavor (including artistic creation) must imitate the divine. 12 Although Platonic strain in Islam has been noted in other areas, its persistent legacy has been overlooked in art. 13 I shall argue that the Platonic influence on Islamic thought can be traced not only to political philosophy 14 and geometry, 15 as it has been commonly accepted, but also aesthetics. 16 A philosophical explanation of the Islamic attitude toward art may therefore be derivable from the Platonic axiom that god is the paradigm of beauty, which is the cosmological principle of [End Page 684] order and harmony; and as all created things, art, too, must reflect the divine paradigm.Before defending this ahistorical hypothesis on the character of Islamic art so reviled in recent literature, a few caveats are in order. “Islamic art” contains redundant terms. Strictly speaking all art in Islam is “Islamic,” because for the Muslim art is a crucial point of contact with the divine. That art should direct the mind to the divine is also Plato’s view. 17 Second, the categories that have traditionally been used to describe Islamic art such as “aniconic” and “nonrepresentational” are unhelpful for the problem at hand. 18 When it comes to the issue of iconography in Islamic arts, there is no consensus, for Islamicists are notably divided on the semiotic dimension of the Islamic visual language. The question of whether the geometric surface pattern is essentially iconography, for instance, is yet... (shrink)

Mainstream analytic epistemology regards knowledge as the property of individuals, rather ‎than groups. Drawing on insights from the reality of knowledge production and dissemination ‎in the sciences, I argue, from within the analytic framework, that this view is wrong. I defend ‎the thesis of ‘knowledge-level justification communalism’, which states that at least some ‎knowledge, typically knowledge obtained from expert testimony, is the property of a ‎community and possibly none of its individual members, in that only the community or some (...) ‎members of it collectively possesses knowledge-level justification for its individual members’ ‎beliefs. I address several objections that individuals, qua individuals, have or are able to ‎acquire knowledge-level justification for all the beliefs they obtain from expert testimony. I ‎argue that the problem I identify with individualism is invariant under any specific account of ‎justification, internalist or externalist. ‎. (shrink)

Diogenes Laertius preserved a saying of Aristotle, “He who has friends can have no true friend.” This was mistranslated by Erasmus and gave rise to the words Montaigne attributed to Aristotle, “O mes amis, il n’y a nul amy.” Kant and Nietzsche both used the saying in this sense, which is in fact a contresens. The original Greek words carried much of the sense of ancient friendship, being a warning against polyphilia and a reminder that intimacy is the central value (...) of friendship. This meaning was turned upside down to become an emblem of the lonely subject at the core of modernity. (shrink)

Utilitarians are supposed to have difficulty accounting for our obligation to keep promises. But utilitarians also face difficulties concerning our obligation to make promises. Consider any situation in which the options available to me are acts A, B, C… n, and A is utility maximizing. Call A+ the course of action consisting of A plus my promising to perform A. Since there appear to be a wide range of instances in which A+ has greater net utility then A, utilitarianism obligates (...) us to make far more promises than even the most expansive views concerning our obligations to make promises would acknowledge. (shrink)

Two experiments compared “Red-Green” dichromats’ empirical and metacognized capacities to discriminate basic color categories and to use the corresponding basic color terms. A first experiment used a 102-related-colors set for a pointing task to identify all the stimuli that could be named with each BCT by each R-G dichromat type. In a second experiment, a group of R-G dichromats estimated their difficulty discriminating BCCs-BCTs in a verbal task. The strong coincidences between the results derived from the pointing and the verbal (...) tasks indicated that R-G dichromats have very accurate metacognition about their capacities and limitations in the use of BCTs. Multidimensional scaling solutions derived from both tasks were very similar: BCTs in R-G dichromats were properly represented in 2D MDS solutions that clearly show one chromatic dimension and one achromatic dimension. Important concordances were found between protanopes and deuteranopes. None of these dichromats showed substantial difficulty discriminating the Red-Green pair. So, to name them “R-G” dichromats is misleading considering their empirical capacities and their metacognition. Further reasons to propose the use of the alternative denomination “Brown-Green” dichromats are also discussed. We found some relevant differences between the “Brown-Green” dichromats’ empirical and self-reported difficulties using BCTs. Their metacognition can be considered a “caricature” of their practical difficulties. This caricature omits some difficulties including their problems differentiating “white” and “black” from other BCTs, while they overestimate their limitations in differentiating the most difficult pairs. Individual differences scaling analyses indicated that the metacognition regarding the use of BCTs in “Brown-Green” dichromats, especially deuteranopes, is driven slightly more by the chromatic dimension and driven slightly less by the achromatic dimension, than their practical use of BCTs. We discuss the relevance of our results in the framework of the debate between the linguistic relativity hypothesis and the universal evolution theories. (shrink)

The history of genetics and the evolutionary theory in the USSR is multidimensional. Only in the 1920s after the October Revolution, and due in large part to that Revolution, the science of genetics arose in Soviet Russia. Genetics was limited, but not obliterated in the second half of the 1950s, and was restored in the late 1960s, after the resignation of Nikita S. Khrushchev. In the subsequent period, Soviet genetics experienced a resurgence, though one not as successful as geneticists would (...) have liked. The Communist party bodies interfered constantly, but with different consequences for the development of genetics than when the earlier periods. The main troubles for Soviet genetics occurred during the unique, well-known, most contradictory, and tragic Stalinist period. The start date for the defeat of genetics is also known—August, 1948. In the social history of science and especially in the history of evolutionary biology it is natural, necessary, and even expected to adopt an evolutionary approach. In particular, historians of science need to consider and explain the evolution and dependence of Soviet science in regards to the evolution of Soviet society, the Soviet state, and the Communist party. This evolutionary perspective reflects the standards of evolutionary biology, evolutionary macrosociology, and also the history of science. (shrink)

We argue that cognitive penetration in non-early vision extends beyond the special situations considered by Pylyshyn. Many situations which do not involve difficult stimuli or require expert skills nevertheless load on high-level cognitive processes. School learning effects illustrate this point: they provide a way to observe task dissociations which support the discontinuity hypothesis, but they show that the scope of visual cognition in our visual experience is often underestimated.

Statistical mechanics is the name of the ongoing attempt to explain and predict certain phenomena, above all those described by thermodynamics on the basis of the fundamental theories of physics, in particular mechanics, together with certain auxiliary assumptions. In another paper in this journal, Foundations of statistical mechanics: Mechanics by itself, I have shown that some of the thermodynamic regularities, including the probabilistic ones, can be described in terms of mechanics by itself. But in order to prove those regularities, in (...) particular the time asymmetric ones, it is necessary to add to mechanics assumptions of three kinds, all of which are under debate in contemporary literature. One kind of assumptions concerns measure and probability, and here, a major debate is around the notion of “typicality.” A second assumption concerns initial conditions, and here, the debate is about the nature and status of the so-called past hypothesis. The third kind of assumptions concerns the dynamics, and here, the possibility and significance of “Maxwell's Demon” is the main topic of discussions. This article describes these assumptions and examines the justification for introducing them, emphasizing the contemporary debates around them. (shrink)

The marker approach is taken as best practice for answering the distribution question: Which animals are conscious? However, the methodology can be used to increase confidence in animals many presume to be unconscious, including C. elegans, leading to a trilemma: accept the worms as conscious; reject the specific markers; or reject the marker methodology for answering the distribution question. I defend the third option and argue that answering the distribution question requires a secure theory of consciousness. Accepting the hypothesis (...) all animals are conscious will promote research leading to secure theory, which is needed to create reliable consciousness tests for animals and AIs. Rather than asking the distribution question, we should shift to the dimensions question: How are animals conscious? (shrink)

Can the second law of thermodynamics explain our mental experience of the direction of time? According to an influential approach, the past hypothesis of universal low entropy also explains how the psychological arrow comes about. We argue that although this approach has many attractive features, it cannot explain the psychological arrow after all. In particular, we show that the past hypothesis is neither necessary nor sufficient to explain the psychological arrow on the basis of current physics. We propose (...) two necessary conditions on the workings of the brain that any account of the psychological arrow of time must satisfy. And we propose a new reductive physical account of the psychological arrow of time compatible with time-symmetric physics, according to which these two conditions are also sufficient. Our proposal has some radical implications, for example, that the psychological arrow of time is fundamental, whereas the temporal direction of entropy increase in the second law of thermodynamics and the past hypothesis is derived from it, rather than the other way around. 1Introduction2A Physical Account of the Psychological Arrow of Time3Necessary Conditions for the Psychological Arrow of Time4The Psychological Arrow of Time via the Second Law of Thermodynamics and the Past Hypothesis5Why the Past Hypothesis Is Insufficient for the Psychological Arrow of Time5.1Stage 1, Version 1: From the past hypothesis to the psychological arrow via typicality5.2Stage 1, Version 2: From the past hypothesis to the psychological arrow via dynamical or causal considerations5.3Stage 2: From entropy gradient in the brain to the psychological arrow of time6Why the Past Hypothesis Is Unnecessary for the Psychological Arrow of Time7A New Reductive Account of the Psychological Arrow of Time. (shrink)

I argue that the traditional distinction between hard and easy problems rests on some inaccurate views about explanation in cognitive science. We should distinguish the question of what gives rise to a phenomenon (the generative question) from what that phenomenon is (the nature question). In many cases throughout the special sciences, an answer to the generative question will not shed significant light on the nature question, nor will it eliminate all conceptually possible alternatives. Meanwhile, the apparent easiness of explaining consciousness (...) functions is due to an oversimplification of these problems akin to what is often called 'substitution bias'. Once these issues are clarified, we see that the hard problem is not so hard, the easy problems are not so easy, and the meta-problem is neither a traditional easy problem nor should we expect it to play a special role in illuminating the natural basis of consciousness. (shrink)

Time is a fundamental domain of experience. In this paper we ask whether aspects of language and culture affect how people think about this domain. Specifically, we consider whether English and Mandarin speakers think about time differently. We review all of the available evidence both for and against this hypothesis, and report new data that further support and refine it. The results demonstrate that English and Mandarin speakers do think about time differently. As predicted by patterns in language, Mandarin (...) speakers are more likely than English speakers to think about time vertically (with earlier time-points above and later time-points below). (shrink)

Thanks to all the people who responded to my enquiry about the status of the Continuum Hypothesis. This is a really fascinating subject, which I could waste far too much time on. The following is a summary of some aspects of the feeling I got for the problems. This will be old hat to set theorists, and no doubt there are a couple of embarrassing misunderstandings, but it might be of some interest to non professionals.

Where is consciousness? Neurobiological theories of consciousness look primarily to synaptic firing and “spike codes” as the physical substrate of consciousness, although the specific mechanisms of consciousness remain unknown. Synaptic firing results from electrochemical processes in neuron axons and dendrites. All neurons also produce electromagnetic (EM) fields due to various mechanisms, including the electric potential created by transmembrane ion flows, known as “local field potentials,” but there are also more meso-scale and macro-scale EM fields present in the brain. The functional (...) role of these EM fields has long been a source of debate. We suggest that these fields, in both their local and global forms, may be the primary seat of consciousness, working as a gestalt with synaptic firing and other aspects of neuroanatomy to produce the marvelous complexity of minds. We call this assertion the “electromagnetic field hypothesis.” The neuroanatomy of the brain produces the local and global EM fields but these fields are not identical with the anatomy of the brain. These fields are produced by, but not identical with, the brain, in the same manner that twigs and leaves are produced by a tree’s branches and trunk but are not the same as the branches and trunk. As such, the EM fields represent the more granular, both spatially and temporally, aspects of the brain’s structure and functioning than the neuroanatomy of the brain. The brain’s various EM fields seem to be more sensitive to small changes than the neuroanatomy of the brain. We discuss issues with the spike code approach as well as the various lines of evidence supporting our argument that the brain’s EM fields may be the primary seat of consciousness. This evidence (which occupies most of the paper) suggests that oscillating neural EM fields may make firing in neural circuits oscillate, and these oscillating circuits. may help unify and guide conscious cognition. (shrink)

The Internalization Hypothesis (I.H.), as expressed in GM II 16 of On the Genealogy of Morals, is the essential albeit under-theorized principle of Nietzsche’s psychology. In the following essay, I investigate the purpose I.H. serves concerning Nietzsche’s theory of drives as well as the Hypothesis’s epistemic warrant. I demonstrate that I.H. needs a Neo-Darwinian underpinning for two reasons: 1) to answer the Time-Crunch Problem of Transformation, and 2) in order to render it coherent with Nietzsche’s physiological determinism as (...) articulated in Twilight of the Idols. My re-examination of I.H., then, serves to underwrite the Hypothesis on solid empirical footing. In addition, my analysis provides further evidence to think that Brian Leiter’s initial (but naïve) type-fact reading of Nietzsche’s philosophy of psychology is accurate, deterministic warts and all. (shrink)

I critically explore various forms of the language of thought (LOT) hypothesis. Many considerations, including the complexity of representational content and the systematicity of language understanding, support the view that some, but not all, of our mental representations occur in a language. I examine several arguments concerning sententialism and the propositional attitudes, Fodor's arguments concerning infant and animal thought, and Fodor's argument for radical concept nativism and show that none of these considerations require us to postulate a LOT (...) that is innate or otherwise distinct from spoken languages. Instead, I suggest that we maintain the more conservative hypothesis, supported by introspection, that some of our thoughts occur in the languages that we speak. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:98 COMMENTS ON TWEYMAN AND DAVIS Tweyman contends that in Parts X and XI of the Dialogues Philo sets aside his Pyrrhonian or skeptical approach to theology, which consists in falsifying or casting doubt on the hypotheses of Cleanthes, and instead argues for a thesis of his own, viz. what we might call the "indifference thesis" that the original source of all things is morally indifferent. Davis counters with (...) an alternative interpretation of these two Parts of the Dialogues, arguing that Philo's approach to Cleanthes' arguments is consistent throughout the Dialogues and that Philo's aim is always the same, viz., to show that if cleanthes remains true to his principles and accepts their logical consequences, it is Cleanthes who is the Pyrrhonian and Philo who is the moderate skeptic. My position is that neither Tweyman nor Davis have given a proper analysis of Parts X and XI. I would agree with Davis that Tweyman' s position does seem to have an initial implausibility to it for at least two reasons. First of all, in Part II Philo commits himself to the "mystical incomprehensibility thesis" that the attributes of God are perfect but incomprehensible; and the mystical incomprehensibility thesis is incompatible with the indifference thesis. It cannot be the case both that God has perfect but incomprehensible attributes and that we also know he is morally indifferent. Moreover, the mystical incomprehensi2 bility thesis is reiterated in Part VI and more importantly, in Part X: "None but we mystics, as you were pleased to call us, can account for this strange mixture of phenomena, by deriving it from attributes, infinitely perfect, but incomprehensible" 99 (D 199). Since Philo appears to stick to the mystical incomprehensibility thesis, Tweyman has a problem explaining how Philo can hold one position on the attributes of God in Part X (the mystical incomprehensibility thesis) and then supposedly reverse himself in Part XI to argue for another (the indifference thesis). Second, Tweyman' s position seems to contradict the strategic position outlined by Philo in Part II: "You seem not to apprehend, replied Philo, that I argue with Cleanthes in his own way; and by showing him the dangerous consequences of his tenets, hope at last to reduce him to our opinion." (D 145) The strategy is to show Cleanthes that any position but that of the mystics has dangerous, i.e., skeptical or theologically unwelcome consequences, and so should be abandoned. Philo's strategy is not to defend his own position, but rather to reveal the weaknesses in Cleanthes' position. Thus far I would agree that Davis' interpretation is more consistent with both Philo's strategic position and with his mystical incomprehensibility thesis. Yet Davis does not directly take up the important point about Parts X and XI which Tweyman raises: that Philo changes his way of arguing in Parts X and XI from that which he had been employing previously in the first eight sections, i.e., that he changes from a Pyrrhonian to a non-Pyrrhonian way of arguing. This is how Tweyman puts it: In the first eight sections, Philo argues against Cleanthes' hypothesis by advancing his own hypotheses. His effort to advance hypotheses must be assessed in light of the fact that (by his own admission) all such hypotheses are based on insufficient 100 data, and, therefore, none is, strictly speaking, acceptable. Their use is not to establish truths about the nature of God, but to establish the conclusion which we find at the end of Part VIII that 'a total suspense of judgment is here our only reasonable resource.' The design of the world is compatible with, and could have arisen from, an indefinite number of designing principles. On the other hand, we have seen that in dealing with Cleanthes' hypotheses in Parts X and XI we are able to proceed more scientifically, and, in this manner, eliminate all but one of the hypotheses which can be introduced to explain the design of the world. (Tweyman 84-85) Now Tweyman does seem to have a point here. It is true that Philo takes his arguments in Parts X and XI to have a conclusiveness which he did not attribute to his... (shrink)

This article begins from a consideration of this issue’s contention that ‘central to politicized academic projects … is a critique of the cultural power of institutions’ and in particular pedagogical institutions. It argues that is clear enough what the Editor is thinking of here: he names ‘cultural studies’ as his prime suspect and from here it is not too far a leap to imagine that the pedagogical institution at which his ‘politicized academic projects’ take aim is the university. The article (...) concedes that this might all appear to be superficially true, and that much of what is argued in it will up hold this hypothesis. However, the article does not wish to rush too quickly towards an unproblematic equation of cultural studies, or the ‘politicized academic project’ of a critical study of culture with something like a pedagogy of the popular. Equally, it proposes, we must distinguish rigorously between ‘a pedagogy of the popular’, pedagogy able to treat the popular, popular pedagogy, and popular culture as such. In this respect it argues that we would not wish to foreclose the impertinent question of ‘what is cultural studies?’ too early in an understanding of what it might mean to offer an institutional critique that takes the form of pedagogy. Much will depend upon what we mean by these vaguest of terms ‘culture’, ‘education’, ‘power’ and ‘pedagogy’ itself, none of which is at all straightforward even though a certain normative discourse renders such terms the cornerstone of national policy debates through which billions of human and financial capital are routed. The stakes in fact could not be higher in a ‘critique of the cultural power of [pedagogical] institutions’. Therefore, it is crucial that we make the effort to understand, or at least begin to unpack, a conjunction such as the one Bowman offers here that amalgamates ‘politicized academic projects such as cultural studies and politicized work in cultural theory and philosophy’. It argues that we will not be able to progress to a wider schema until we have some leverage on this relation. And this is what this article seeks to provide. (shrink)

The argument from analogy is examined from the standpoint of Carnap's confirmation theory. Carnap's own discussion of analogy in relation to his c*— function is restricted to cases where the analogues are known to be similar, but not known to be different in any respect. It has been argued by the author in a previous work,, and by P. Achinstein, that typical analogy arguments involve known differences between the analogues as well as similarities. Achinstein shows that for such arguments (...) class='Hi'>none of Carnap's Δ— system of conflrmation functions gives satisfactory values, and it is further shown in the present paper that for these arguments the confirmation never rises above its initial value, irrespective of evidence drown from an analogue. it is argued that even if inductive arguments are to be applicable to the real world, they must in principle be capable of taking into account known differences between the instances of an inductive generalization. Hence Carnap's Δ— system is inadequate as an explication of both induction and analogy.Three conditions are stated as necessary for any confirmation theory which gives a satisfactory explication of analogical inference:I. If two individuals a and b are known to agree in certain properties and differ in others, and if in addition a has a further property, then the confirmation of the hypothesis that b also has this property is greater than its initial confirmation, at least if the weight of the similarities is sufficiently great compared with the weight of the differences.II. The confirmation‐value increases or decreases with the weight of the similarities between the analogues compared with the weight of their differences.III. The confirmation that b has a certain property is greater if a has that property than if a does not have it.The Δ— system sastisfles none of these conditions. Carnap and Stegmüller have now, however, presented a new anxiom system for confirmation functions. the — system, Which is introduced primarily to deal with languages whose primitive predicates fall into families such that each individual can only be qualified by one predicate of each family. They construct a c‐ function which, as well as dealing with a language having two families of such predicates, also depends, unlike the functions in the Δ— system, on similarities between otherwise different individuals. The system is not developed far enough in this Appendix to enable the authors to discuss the confirmation in analogy arguments satisfying conditions I — III above, but it is shown in the present paper that, with a simple generalization of the measure‐function defined by Carnap and Stegmüller, and in the simplest non‐trivial case, condition I — III are all satisfied, indeed a stronger form of condition I is satisfied, in which no known similarity of the analogues is postulated.Finally it is remarked that Carnap and Stegmüller's method of introducing their Δ— system is extremely arbitrary and ad hoc, and an alternative method of introducing is suggested. Bearing in mind the fundamental nature of the argument from analogy in all application of induction to the real world, it is suggesetd that the fundamental inductive inference needing explication is not the inference of‘P1b, from ‘P,1a, but the analogical infeence of‘P2b, from‘P1P2a.P1b,. It is posinitial confirmation of‘P2b, and the confirmation of‘P2b, given‘P2a” and that the later two confirmation‐values are equivalent to those in the Δ— system. It is then shown that Carnap and Stegmüller's new measure‐function follows from their axiom system together with these postulates. Thus some of the arbitrariness of the — system is removed by general considérations regarding inductive and analogical inference. (shrink)