The history of western philosophy is split to its core by a long-standing, fundamental dispute. On the one hand there are the so-called empiricists, like Locke, Berkeley, Hume, Mill, Russell, the logical positivists, A. J. Ayer, Karl Popper and most scientists, who hold empirical considerations alone can be appealed to in justifying, or providing a rationale for, claims to factual knowledge, there being no such thing as a priori knowledge – items of factual knowledge that are accepted (...) on grounds other than the empirical. And on the other hand there are the so-called rationalists, like Descartes, Spinoza, Leibniz, Bradley, McTaggart, who hold that a priori knowledge does exist, and even plays a crucial role in science. This long-standing dispute is resolved by the line of thought developed in this essay. The empiricists were right to deny the existence of a priori knowledge where this means factual knowledge of apodictic certainty justified independently of any appeal to experience. They were wrong, however, to deny the existence of a priori knowledge where this means conjectural items of factual knowledge whose acceptance is justified independently of any appeal to experience. Science requires there to be a priori knowledge in this latter sense, and two items of such knowledge will be exhibited. In addition to resolving this empiricist/rationalist dispute, the essay also develops a new conception of science – aim-oriented empiricism – and solves the long-standing problem of what it means to say of a theory that it is unified or explanatory. Furthermore, aim-oriented empiricism does not just change our conception of science; it requires that science itself needs to change. Science needs to become much more like the 17th century conception of natural philosophy, intermingling consideration of testable theories with consideration of untestable metaphysical, epistemological and methodological ideas. The whole relationship between science and the philosophy of science is transformed. The philosophy of science, construed as the exploration and critical assessment of rival ideas about what the aims and methods of science ought to be, ceases to be a meta-discipline, and becomes an integral part of science – or natural philosophy – itself. (shrink)

In this paper I argue for a priori conjectural scientific knowledge about the world. Physics persistently only accepts unified theories, even though endlessly many empirically more successful disunified rivals are always available. This persistent preference for unified theories, against empirical considerations, means that physics makes a substantial, persistent metaphysical assumption, to the effect that the universe has a (more or less) unified dynamic structure. In order to clarify what this assumption amounts to, I solve the problem of what (...) it means to say of a theory that it is unified. There are, I argue, eight different kinds of unity important in theoretical physics, all varieties of one basic idea. This provides us with a precise way of partially ordering physical theories with respect to their degree of unity. It also leads to a hierarchical view of physics, according to which physics makes a number of increasingly insubstantial metaphysical assumptions concerning the comprehensibility and knowability of the universe. Two of these are identified as constituting a priori conjectures. I conclude by arguing that the view developed in the paper resolves the traditional clash between empiricism and rationalism in the philosophy of science, and has important implications for science, and for academic inquiry more generally. (shrink)

I propose and defend the conjecture that what explains why Gettiered subjects fail to know is the fact that their justified true belief depends essentially on unknown propositions. The conjecture follows from the plausible principle about inference in general according to which one knows the conclusion of one’s inference only if one knows all the premises it involves essentially.

A collective understanding that traces a debate between ‘what is science?’ and ‘what is a science about?’ has an extraction to the notion of scientific knowledge. The debate undertakes the pursuit of science that hardly extravagance the dogma of pseudo-science. Scientific conjectures invoke science as an intellectual activity poured by experiences and repetition of the objects that look independent of any idealist views (believes in the consensus of mind-dependence reality). The realistic machinery employs in an empiricist exposition of the (...) objective phenomenon by synchronizing the general method to make observational predictions that cover all the phenomena of the particular entity without any exception. The formation of science encloses several epistemological purviews and a succession of conjectures cum refutation that a newer theorem could reinstate. My attempt is to advocate a holistic plea of scientific conjectures that outruns the restricted regulation of experience or testable hypothesis to render the validity of a chain of logical reasoning (deductive or inductive) of basic scientific statements. The milieu of scientific intensification integrates speculation that loads efficiency towards a new experimental dimension where the reality is not itself objective or observers relative; in fact the observed phenomenon divulges in the constructive progression of preferred methods of falsifiability and uncertainty. (shrink)

We ordinarily assume that we have reliable knowledge of our immediate surroundings, so much so that almost all the time we entrust our lives to the truth of what we take ourselves to know, without a moment’s thought. But if, as Karl Popper and others have maintained, all our knowledge is conjectural, then this habitual assumption that our common sense knowledge of our environment is secure and trustworthy would seem to be an illusion. Popper’s philosophy of (...) science, in particular, fails to do justice to the distinction we ordinarily draw between secure knowledge and mere conjecture. But Popper’s philosophy of science, in particular his attempted solution to the problem of induction, is defective. It fails to take into account that physics, in only accepting unified theories, even though endlessly empirically more successful disunified rivals are always available, makes the persistent metaphysical assumption that all disunified theories are false. Once this point is acknowledged, it becomes clear that a new conception of scientific method is required which sees science as making a hierarchy of metaphysical assumptions concerning the comprehensibility and knowability of the universe. This provides a framework of relatively unproblematic assumptions and associated methods of science within which much more problematic assumptions and associated methods can be critically assessed and improved. This hierarchical view seems at first to intensify the problem of distinguishing certainty from conjecture, in that it emphasizes that scientific knowledge, and even humble common sense knowledge, contain usually unacknowledged cosmological conjectures. But actually it explicates the basis we have for drawing the distinction between trustworthy knowledge and mere conjecture, and even goes some way towards providing a rationale for this distinction, in so far as one exists. (shrink)

Philosophical reflection on the conditions of knowledge did not begin in a cultural vacuum. Several centuries before the Ionian thinkers began their investigations, the Homeric bards had identified various factors that militate against a secure grasp of the truth. In the words of the ‘second invocation of the Muses’ in Iliad II: “you, goddesses, are present and know all things, whereas we mortals hear only a rumor and know nothing.” Similarly Archilochus: “Of such a sort, Glaucus, son of Leptines, (...) is the mind of mortal man, whatever Zeus may bring him for the day, for he thinks such things as he meets with.” When one adds the truism that the scope of human experience pales in comparison with the synoptic view of events enjoyed by the gods, it follows that for most matters it is for the gods to know and mortals merely to conjecture. Traces of the older ‘poetic pessimism’ can be seen in the teachings of many of the first philosophers. Alcmaeon reaffirms that “while the gods enjoy clear and certain knowledge of all things, mortals must conjecture from signs” (B 1). Although Xenophanes encourages inquiry into a wide range of phenomena, he concludes that “No man has known nor will there be anyone who knows the clear and sure truth concerning the gods and what I say about all things” (B 34). And when philosophers begin to affirm a more optimistic view they often do so in terms that invite comparison with the older outlook. The chief truth Heraclitus claims to have discovered is the logos or ‘basic formula’ which holds everywhere and forever (B 1, 30, 80, and 90). Parmenides provides reason to think that human beings can discover the truth even about things located “far off” (B 4). And both Empedocles and Democritus contrast the inferior awareness of those “who think in terms of what they have met with” with the wisdom available to those who have heard and ponder their teachings (B 131). For these thinkers, separation in space and time—the old ‘locality problem’—no longer posed an impediment to knowledge. -/- . (shrink)

intro to Part 1 - -/- Most people disliked mathematics when they were at school and they were absolutely correct to do so. This is because maths as we know it is severely incomplete. No matter how elaborated and complicated mathematical equations become, in today's world they're based on 1+1=2. This certainly conforms to the world our physical senses perceive and to the world scientific instruments detect. It has been of immeasurable value to all knowledge throughout history and has (...) elevated science to the lofty status it enjoys. Science is now striving towards Unification - where the subatomic realm, all matter, energy, forces, space and time will be seen as entangled parts of one universe. While 1+1=2 has been vital in getting humanity to this point, it's time to suppress our attachments to the past and realize that whereas 1+1 will always equal 2, it's also capable of equalling the 1 which represents unification. -/- intro to Part 2 -/- b) Division by zero is accepted, in Newtonian maths, to be impossible. But we can regard division by zero as division by nothing i.e. division that has no effect. In this case, 1 divided by 0 is 1. However, to a physicist there is no such thing as nothing (even empty space contains energy). What could the something called 0 actually be? It could be a binary digit. If we use the base of ten (for simplicity) and attach one and zero to it as exponents, we get 10^1 divided by 10^0 = 10^1. If we then cancel 10 from each factor in the expression, we get 1 divided by 0 = 1. At the start of the paragraph, this was referred to as division by nothing. Then 0 was called a binary digit and division by nothing became division by something. The 1 that the division equals is the unified field of space-time. Division by 0 is impossible in Newtonian maths because the result can be infinity. But the word “infinity” can, as the last section of this book shows, apply to the unified field of spacetime. So division by zero is not impossible because it results in the universe, which is obviously possible … a possibility that has always been, and always will be, realized. -/- intro to Part 3 -/- If quantum entanglement has existed in the entire universe forever, everything would be everywhere and everywhen. Space, time and 5th-dimensional hyperspace would not be restricted to certain parts of the Mobius Universe but would exist in every particle. Past, present and future would not exist as the distinct periods which everyday life assumes. All instants of all periods would exist eternally, permitting time travel to any point in the past and to any point in the future. Entanglement may be created by simply zipping along at close to the speed of light - “Quantum entanglement of moving bodies” by Robert M. Gingrich and Christoph Adami in Physical Review Letters 89, 270402 (issue of 30 December 2002) – which might be achieved, according to this book, by warping space so it’s either a fraction of the 90 degrees allowing instantaneous travel or almost at 270 degrees to space as we know it. (shrink)

Aristotle, in his Metaphysics, not only tries to establish a relationship that is direct, coherent, inter-operational and "precise" between this science, its name as a science, and its object of study, but also begins an indignation that tries to set a science — materially adequate and formally correct — to study τὸ ὂν ᾗ ὂν. In order to complete this task, Aristotle does an in-focus strategy that consists on the diffusion of τὸ ὄν in its categories, that allows Aristotle the (...) possibility of formulate a science ἐπιστήμη to study τὸ ὂν ᾗ ὂν at the same time that supports the diffusion of τὸ ὄν in the "different categories or supreme genres" of τὸ ὄν. Due to this argumentation, Aristotle distinguishes the ἐπιστήμη σοφία of any other type of knowledge: the former is fundamentally an enquiry "about the first causes (πρῶτα αἴτια) and the principles (ἀρχὰς)". With this conception in mind, Aristotle was able to characterize several related forms of the ἐπιστήμη σοφία which, as a whole, eventually allow him to establish a science of the principles and causes "maximally universal and referred to…everything real", and in consequence, to "that that is, as long as something is". In this work, I will try to reconstruct such arguments, and offer some observations and conjectures referred to these notions that plausibly incline the scale in favor of an ontological reading of Aristotle’s Metaphysics, in order to contribute to clarify the confusion that exists between the aim of the discipline with the justification to establish the existence of its own object. (shrink)

From the Scientific Revolution to the present era, the natural sciences have developed remarkably and recorded colossal success in different areas such as genetic engineering, cloning, hybrid technology, health and food technologies, space travel, audio-visual technology, among others. These evidences are indications of the growth of scientific knowledge. Accordingly, this paper raises the question of what is responsible for the growth of scientific knowledge. Inherent in this question is the pool of diverse conceptions of what the nature and (...) method of science is. Consequently, some significant contours in the construct of the problem of demarcation will be imported into this discourse as a means of assembling some pivotal conceptions of the growth of scientific knowledge. With this, the paper aims to consider Karl Popper’s fundamental conception of the growth of scientific knowledge and its associated criticisms, and from it, attempt to respond to the question of what is responsible for the growth of scientific knowledge. This will help to eliminate the confusion and complications surrounding the growth of scientific knowledge. (shrink)

There is a middle ground of imperfect knowledge in fields like medicine and the social sciences. It stands between our day-to-day relatively certain knowledge obtained from ordinary basic observation of regularities in our world and our knowledge from well-validated theories in the physical sciences. -/- The latter enable reliable prediction a great deal of the time of the happening of events never before experienced. The former enable prediction only of what has happened before and beyond that of (...) educated guesses which may sometimes prove right and others not when we test them. -/- The imperfection of our knowledge between those limits is a consequence of complexity. -/- Reductionist empiricism fails when faced with complexity but we all still have to live in a complex world where reductionist science cannot help us devise reliable theories from which we can predict the behaviour of the world around us. We cannot predict reliably. We can only monitor actively and manage actively the world around us if we want to try to control our environment. We have a limited prediction horizon. -/- Science and empiricism work well if we want to send Voyager I and II over 3 billion miles away but not for most other things. -/- In medicine how and when to apply probabilistic, conjectural, incomplete medical theories and explanations requires professional expertise, intuition and judgement (non scientific knowledge) which is essential. Medical diagnosis is a skill of predicting from knowledge of what has happened before that the past will recur in the current patient applying expertise and intuition from knowledge and experience of prior cases and probabilistic medical research and theory. The physician is left to an educated guess as to how the future will develop for the particular individual patient the focus of his or her current attention. (shrink)

The claim that we want to put forward is that Thomas Kuhn ’s growth of knowledge concept is drawn upon Heidegger’s epistemology. To bolster the tenet the corresponding works of both thinkers are considered. As a result, the one-to-one correspondence between the key propositions of Heideggerian epistemology and the basic tenets of Kuhn ’s growth of knowledge model is dawned. The tenets under consideration include the holistic nature of a paradigm, the incommensurability thesis, conventional status of a paradigm (...) caused by pragmatist way of its vocabulary justification and even the basic instance – connection between Aristotelean and Newtonian mechanics. It is conjectured that an indirect influence of Heidegger upon Kuhn should be taken into account to explain the isomorphism. For instance, through the works of Alexandre Koyré admired by Kuhn. As is well-known, Koyré had close professional links with another Russian émigré – Alexandre Kojev – who presented in his 1933-1939 Paris lectures Hegel’s “Phenomenology of Spirit” seen through the cognitive lens of Heideggerian phenomenology. Key words: Martin Heidegger, Thomas Kuhn, growth of knowledge, paradigm, incommensurability thesis, holism, pragmatism. (shrink)

Modern generally accepted models of the growth of knowledge are scrutinized. It is maintained that Thomas Kuhn’s growth of knowledge model is grounded preeminently on Heidegger’s epistemology. To justify the tenet the corresponding works of both thinkers are considered. As a result, the one-to-one correspondence between the key propositions of Heideggerian epistemology and the basic tenets of Kuhn’s growth of knowledge model is elicited. The tenets under consideration include the holistic nature of a paradigm, the incommensurability thesis, (...) conventional status of a paradigm caused by pragmatist way of its vocabulary justification and even the basic instance – connection between Aristotelean and Newtonian mechanics. It is conjectured that an indirect influence of Heidegger upon Kuhn should be taken into account to explain the isomorphism. For instance, through the works of Alexandre Koyré admired by Kuhn. As is well-known, Koyré had close professional links with another Russian émigré – Alexandre Kojev – who presented in his 1933-1939 Paris lectures Hegel’s “Phenomenology of Spirit” seen through the cognitive lens of Heideggerian phenomenology. Key words: Martin Heidegger, Thomas Kuhn, Imre Lakatos, growth of knowledge, paradigm, incommensurability thesis, holism, pragmatism. (shrink)

Let f(1)=2, f(2)=4, and let f(n+1)=f(n)! for every integer n≥2. Edmund Landau's conjecture states that the set P(n^2+1) of primes of the form n^2+1 is infinite. Landau's conjecture implies the following unproven statement Φ: card(P(n^2+1))<ω ⇒ P(n^2+1)⊆[2,f(7)]. Let B denote the system of equations: {x_j!=x_k: i,k∈{1,...,9}}∪{x_i⋅x_j=x_k: i,j,k∈{1,...,9}}. The system of equations {x_1!=x_1, x_1 \cdot x_1=x_2, x_2!=x_3, x_3!=x_4, x_4!=x_5, x_5!=x_6, x_6!=x_7, x_7!=x_8, x_8!=x_9} has exactly two solutions in positive integers x_1,...,x_9, namely (1,...,1) and (f(1),...,f(9)). No known system S⊆B with a finite (...) number of solutions in positive integers x_1,...,x_9 has a solution (x_1,...,x_9)∈(N\{0})^9 satisfying max(x_1,...,x_9)>f(9). For every known system S⊆B, if the finiteness/infiniteness of the set {(x_1,...,x_9)∈(N\{0})^9: (x_1,...,x_9) solves S} is unknown, then the statement ∃ x_1,...,x_9∈N\{0} ((x_1,...,x_9) solves S)∧(max(x_1,...,x_9)>f(9)) remains unproven. Let Λ denote the statement: if the system of equations {x_2!=x_3, x_3!=x_4, x_5!=x_6, x_8!=x_9, x_1 \cdot x_1=x_2, x_3 \cdot x_5=x_6, x_4 \cdot x_8=x_9, x_5 \cdot x_7=x_8} has at most finitely many solutions in positive integers x_1,...,x_9, then each such solution (x_1,...,x_9) satisfies x_1,...,x_9≤f(9). The statement Λ is equivalent to the statement Φ. It heuristically justifies the statement Φ . This justification does not yield the finiteness/infiniteness of P(n^2+1). We present a new heuristic argument for the infiniteness of P(n^2+1), which is not based on the statement Φ. Algorithms always terminate. We explain the distinction between existing algorithms (i.e. algorithms whose existence is provable in ZFC) and known algorithms (i.e. algorithms whose definition is constructive and currently known). Assuming that the infiniteness of a set X⊆N is false or unproven, we define which elements of X are classified as known. No known set X⊆N satisfies Conditions (1)-(4) and is widely known in number theory or naturally defined, where this term has only informal meaning. *** (1) A known algorithm with no input returns an integer n satisfying card(X)<ω ⇒ X⊆(-∞,n]. (2) A known algorithm for every k∈N decides whether or not k∈X. (3) No known algorithm with no input returns the logical value of the statement card(X)=ω. (4) There are many elements of X and it is conjectured, though so far unproven, that X is infinite. (5) X is naturally defined. The infiniteness of X is false or unproven. X has the simplest definition among known sets Y⊆N with the same set of known elements. *** Conditions (2)-(5) hold for X=P(n^2+1). The statement Φ implies Condition (1) for X=P(n^2+1). The set X={n∈N: the interval [-1,n] contains more than 29.5+\frac{11!}{3n+1}⋅sin(n) primes of the form k!+1} satisfies Conditions (1)-(5) except the requirement that X is naturally defined. 501893∈X. Condition (1) holds with n=501893. card(X∩[0,501893])=159827. X∩[501894,∞)= {n∈N: the interval [-1,n] contains at least 30 primes of the form k!+1}. We present a table that shows satisfiable conjunctions of the form #(Condition 1) ∧ (Condition 2) ∧ #(Condition 3) ∧ (Condition 4) ∧ #(Condition 5), where # denotes the negation ¬ or the absence of any symbol. No set X⊆N will satisfy Conditions (1)-(4) forever, if for every algorithm with no input, at some future day, a computer will be able to execute this algorithm in 1 second or less. The physical limits of computation disprove this assumption. (shrink)

In this paper I argue that aim-oriented empiricism provides decisive grounds for accepting scientific realism and rejecting instrumentalism. But it goes further than this. Aim-oriented empiricism implies that physicalism is a central part of current (conjectural) scientific knowledge. Furthermore, we can and need, I argue, to interpret fundamental physical theories as attributing necessitating physical properties to fundamental physical entities.

In this paper we investigate with a case study from chemistry under what conditions a simulation can serve as a surrogate for an experiment. The case-study concerns a simulation of H2-formation in outer space. We find that in this case the simulation can act as a surrogate for an experiment, because there exists comprehensive theoretical background knowledge in form of quantum mechanics about the range of phenomena to which the investigated process belongs and because any particular modelling assumptions as (...) can be justified. If these requirements are met then direct empirical validation may even be dispensable. We conjecture that this is not the case in the absence of comprehensive theoretical background knowledge. (shrink)

Karl Popper is famous for having proposed that science advances by a process of conjecture and refutation. He is also famous for defending the open society against what he saw as its arch enemies – Plato and Marx. Popper’s contributions to thought are of profound importance, but they are not the last word on the subject. They need to be improved. My concern in this book is to spell out what is of greatest importance in Popper’s work, what its failings (...) are, how it needs to be improved to overcome these failings, and what implications emerge as a result. The book consists of a collection of essays which dramatically develop Karl Popper’s views about natural and social science, and how we should go about trying to solve social problems. Criticism of Popper’s falsificationist philosophy of natural science leads to a conception of science that I call aim-oriented empiricism. This makes explicit metaphysical theses concerning the comprehensibility and knowability of the universe that are an implicit part of scientific knowledge – implicit in the way science excludes all theories that are not explanatory, even those that are more successful empirically than accepted theories. Aim-oriented empiricism has major implications, not just for the academic discipline of philosophy of science, but for science itself. Popper generalized his philosophy of science of falsificationism to arrive at a new conception of rationality – critical rationalism – the key methodological idea of Popper’s profound critical exploration of political and social issues in his The Open Society and Its Enemies, and The Poverty of Historicism. This path of Popper, from scientific method to rationality and social and political issues is followed here, but the starting point is aim-oriented empiricism rather than falsificationism. Aim-oriented empiricism is generalized to form a conception of rationality I call aim-oriented rationalism. This has far-reaching implications for political and social issues, for the nature of social inquiry and the humanities, and indeed for academic inquiry as a whole. The strategies for tackling social problems that arise from aim-oriented rationalism improve on Popper’s recommended strategies of piecemeal social engineering and critical rationalism, associated with Popper’s conception of the open society. This book thus sets out to develop Popper’s philosophy in new and fruitful directions. The theme of the book, in short, is to discover what can be learned from scientific progress about how to achieve social progress towards a better world. (shrink)

The passionate and staunch defence of logic of the controversial thinker Ibn Ḥazm, Abū Muḥammad ʿAlī b. Aḥmad b. Saʿīd of Córdoba (384-456/994-1064), had lasting consequences in the Islamic world. Indeed, his book Facilitating the Understanding of the Rules of Logic and Introduction Thereto, with Common Expressions and Juristic Examples (Kitāb al-Taqrīb li-ḥadd al-manṭiq wa-l-mudkhal ilayhi bi-l-alfāẓ al-ʿāmmiyya wa-l-amthila al-fiqhiyya), composed in 1025-1029, was well known and discussed during and after his time; and it paved the way for the studies (...) of his compatriots Ibn Bājjah (d. 1138), Ibn Ṭufayl (1185), and Ibn Rushd (1198), who each gave demonstrative reasoning a privileged place within the methods of attaining knowledge. Unfortunately, as too often in the history of science, Ibn Ḥazm’s innovative perspectives and contributions in logic have been overlooked or considered with an attitude of contempt. On the one hand, his work has been seen, at best, as promulgating the benefits of studying Aristotle’s logic, so that his contribution is assessed as more didactical than conceptual. And on the other hand, those who do examine his innovations often consider them to be mistaken. As indicated by Chejne (1984, p. 2) contempt towards the logical work of Ibn Ḥazm was also present in its reception by the Eastern philosophers who accused him of deviating from Aristotelian logic and of dabbling in things beyond his capability. However, a reassessment of his work on logic has since begun, by delving into the ways the thinker of Córdoba studied the links between deontic and modal qualification of propositions. In this context Lameer’s (2013) paper on the logical sources of Ibn Ḥazm is worth mentioning; the author (p. 417, footnote 1) observes that, although, strictly speaking, it was al-Fārābī who first drew the parallelism between deontic and modal concepts, it was Ibn Ḥazm who developed it and worked it out in a more precise manner. A primary aim of this paper is to help fill some of these gaps by stressing the role of the work of Ibn Ḥazm in developing a notion of deontic necessity deeply rooted in legal normativity, and in explicitly discussing the transference between deontic and modal concepts. According to our view; the basic units of Islamic deontic logic are what we might call, indulging in terminological anachronism, heteronomous imperatives. As it turns out, the heteronomy of imperatives within Islamic legal systems contrasts with those of the purely moral realm, which seem to be closer to an autonomous conception of moral law. There it concurs again with Leibniz’s proposal to define obligatory as “what is necessary for a good person to do”. In the present paper, we will focus on the heteronomous imperatives of legal systems rather than on the imperatives of the purely moral realm. In this context, the work of Ibn Ḥazm extends the parallelism between the necessity of events and that of human actions stressed by his predecessors. According to our understanding, Ibn Ḥazm’s parallelism can be rendered explicit formally by means of a conditional (or hypothetical) structure shared by both deontic and modal propositions. Moreover, this structure makes apparent that this parallelism displays an underlying system of “degrees”. Indeed, while in the domain of events, given some conditions, it makes sense to distinguish between an event that is more likely to happen than another. Ibn Ḥazm speaks of near and distant possibility (such as the higher degree of likelihood of rain, given the condensation of clouds in December, and its lower degree, when the condensation occurs in summer); and, in the domain of actions, the Islamic notion of weighting actions determines degrees of virtue (or of legal and moral value). So whereas the degree of virtue of performing a forbidden act as determined by the distribution of sanction and reward is 0, we obtain the same value by pondering the likelihood of an impossible event to take place. Furthermore, as discussed in section II.3.2, the system of values at work in the parallelism can be seen as opening the way to a more direct correspondence. Thus, while in the realm of nature, likelihood of occurrence of an event is dependent upon the conditions specific to the occurrence of that event; while, in the realm of jurisprudence, likelihood of performing an action is dependent upon the distribution of reward and sanction specific to that action (being that, given the choice to perform or not perform a given action, those that will be rewarded are more likely to be performed than those that are not). According to this perspective, the point of the parallelism is that both deontic and modal qualifications measure the degree of an action or event to become actual; that is – indulging once more in anachronism (but this time from the Leibnizian background) – the degree measures how feasible (facile) an action or event may be. This suggests that Ibn Ḥazm’s perspectives already herald the links to probability and possibility explored by Leibniz six centuries later – see for example Leibniz’s (1671, A VI, I, p. 424-26) use of probability in the context of conditional right. Nevertheless, it also shows a crucial difference to the approach developed in the Elementa Jura Naturalis: whereas Leibniz’s studies seek to define what is to be just or virtuous, the logical system of deontic imperatives within Islamic jurisprudence presupposes that what is to be virtuous has already been settled. Determining what is to be virtuous is not achieved by logical reasoning within the system of legal jurisprudence, but by delving into the higher objectives of the Sharīʿa. While developing our point, we will delve into the logical structure of the heteronomous imperatives. This distinguishes our contribution from the existing literature, such as the papers of Chejne (1984), Lameer (2014), and Guerrero (1997, 2010, 2014), which do not provide a logical analysis of the deontic concepts put into work by Ibn Ḥazm. The true antecedent to the present paper is the work of Farid Zidani (2007, 2015), who, so far as we know, was the first to undertake such a task. Some of our own developments and general epistemological thoughts go beyond Ibn Ḥazm’s framework and motivations; mainly those contained in sections II.3.2 and IV. However, according to our view, these reflections suggest that Ibn Ḥazm’s approach has the substance for a broader and deeper exploration of the logic of norms. The paper is structured as follows:I.Ibn Ḥazm’s Logic of Heteronomous Imperatives. After presenting some extracts of the relevant text, we proceed by providing a formal reconstruction of the five forms of deontic modalities. II. A Landmark in the History of the Logical Analysis of Norms. Duties and Modalities. In this section, we study the transferences from deontic to modal necessity and possibility. We briefly compare the deontic system of Islamic Jurisprudence with that of Leibniz.III. Leibniz and Hypothetical Imperatives in Law.IV. Beyond Ibn Ḥazm: Conclusions and the Work Ahead. We will conclude the paper by discussing briefly some conceptual points that distinguish the logic of heteronomous imperatives from contemporary deontic logic. Our final words will discuss deontic-modal parallelism in the context of Ibn Ḥazm’s rejection of reasoning by conjecture and what we call “the internalization of nature.”. (shrink)

ABSTRACT The individual-community relationship has always been one of the most fundamental topics of social sciences. In sociology, this is known as the micro-macro relationship while in economics it refers to the processes, through which, individual actions lead to macroeconomic phenomena. Based on philosophical discourse and systems theory, many sociologists even use the term "emergence" in their understanding of micro-macro relationship, which refers to collective phenomena that are created by the cooperation of individuals, but cannot be reduced to individual actions. (...) "Emergence" theories attempt to explain the nature of society as a complex system by examining how individuals and their relationships lead to the creation of integrated and macro-social phenomena such as markets, educational systems, cultural beliefs, and shared social practices. As a prelude to activity, every researcher has to answer the question from the methodological point of view, how is it possible to study the behavior of social groups and how can we gain knowledge about the laws related to social groups? Anyone who deals with humanities and social sciences or any reality and phenomenon that affects human beings, inevitably deals with the reality that is emerging. In fact, emergence occurs when one level of reality emerges radically from another level. Examples of emergent levels of reality include how the mind emerges from the body; or the way society emerges from human beings. Therefore, when there is an emerging factor, different scientific disciplines should be used, because it is inevitable to talk about social affairs, psychology and neurobiology, as well as physical and even chemical. -/- INTRODUCTION Since its beginning in the 19th century, sociology has faced the fundamental question of what a social phenomena stands for? At a glance, sociologists deal with the study of social groups, collective behavior, institutions, social structures, social networks, and social dynamics, and ultimately all such phenomena are composed of individuals. Therefore, social phenomena seem to have no independent ontological status, and in this case, sociology is ultimately about reducible individuals. Different approaches about the micro-macro relationship, using the concept of "emergence", argue that although collective phenomena are created by individuals, they cannot be reduced to individual action. The term "emergence" is used to distinguish "emergent results" from " Procedural results". Results are called Procedural that can only be calculated by adding or subtracting the causes that act together. On the contrary, they are emergent outcomes that are qualitatively novel compared to the causes from which they originate. An example of such emergent results is mental characteristics that emerge from neural processes, but are not considered among the characteristics of neural processes of components - which are their origin. Philosophical debates about emergentism and reductionism focus on the mind-brain relationship, but as many philosophers have noted, they can be generalized to apply to any hierarchical set of features. The cognitive revolution reactivated a 19th century controversy between theorists of Identity and dualism. The theorists of Identity believe in reductionist materialism and elimination of metaphysics, according to which the mind is nothing more than the biological, while the dualists believe that the mind and the brain are distinct from each other. Emergence has been considered as a third way between the theories of Identity and dualism. -/- METHODOLOGY Interdisciplinarity Is fundamentally indicated by the dominance of open systems as well as social and emerging systems at different levels. Therefore, as long as we are facing a new emergentism, there will necessarily be different fields and an interdisciplinary method. The commonality of social sciences and cognitive sciences on the issue of emergence provides the possibility of interaction and exchange of concepts between these two for deeper research. Therefore, in this research, apart from the concepts of Subvenience and downward causation, we have used multiple realization and wildly disjunctive, which are used to explain the emerging concept in cognitive sciences, including neurobiology, psychology, and philosophy. For analytical and interdisciplinary approaches, after examining the concepts of subvenience, and wildly disjunctive, Individualistic and collectivist emergentism have been reviewed. And then their adequacy is criticized and evaluated in meeting strong emergence conditions. -/- FINDINGS Philosophers of the mind have been able to define the conditions of irreducibility and downward causation, which are essential for strong emergence, by using the principle of subvenience with the help of multiple realization and wildly disjunctive principles. Therefore, by definition, emergentist individualism suffers from the problem of how to explain downward causality and irreducibility, and emergentist collectivism faces the challenge of reification. The analysis of the challenges facing the two methodological approaches of individualism and collectivism leads us to three unresolved issues about the emerging phenomenon, which are realism, downward causality, and mechanism. Despite the differences in the stances of these two approaches regarding the aforementioned triple problems, individualists and collectivists both agree that some social characteristics are reducible; and some others are irreducible due to their complexity, the determination of which, depends on the case study of the mechanism of emergence of each social characteristic. -/- CONCLUSION An emergence that is consistent with reductionism is called a weak emergence. And strong emergence includes the principle of irreducibility and downward causality. According to strong emergence, the characteristics of social phenomena have downward causal power, which cannot be reduced to the causal forces. The principle of subvenience, together with multiple realization and wildly disjunctive, can provide the conditions of irreducibility and downward causality, which are essential conditions of strong emergence. Based on the philosophical analysis of two methodological approaches, individualist and collectivist, it can be concluded that emergentist individualism suffers from the problem of how to explain downward causality and irreducibility, and reification collectivism faces the challenge of reification. The analysis of the problems faced by these two approaches leads us to three unresolved issues, which are realism, downward causality, and mechanism. individualist emergentists acknowledge the existence of emergent social characteristics, but despite this, they believe that these characteristics are not real but merely analytical constructs that require explanation based on individuals and their mutual actions. But collectivists argue that emergentism yields a categorical ontology and supports social realism. They accept the dependence of social characteristics on individuals, but claim that social entities and structures are ontologically independent. Individualists and collectivists both agree that some social characteristics are reducible; and others are irreducible due to their complexity; and the only way to recognize this is to engage in empirical studies of the mechanisms and temporal processes of "emergence" that create social characteristics. -/- NOVELTY The newness of this compact article is as follows: a) Presenting an interdisciplinary approach using the analysis of philosophy of cognitive sciences, including the philosophy of mind, neurobiology and psychology to formulate the issue of social emergence; b) Criticizing individualist and collectivist methodological approaches to the issue of social emergence and explaining the sufficiency and shortcomings of both in providing weak and strong emerging conditions; c) Explaining and categorizing the challenges facing methodological approaches in explaining the phenomenon of social emergence, in three categories: realism, downward causality, and mechanism. BIBLIOGRAPHY Beckermann, A., Flohr, H., & Kim, J. (eds.) (1992). Emergence or reduction? Essays on the prospects of nonreductive physicalism. Berlin: Walter de Gruyter. Bhaskar, R. (1979). The possibility of Naturalism. New York: Routledge. Bhaskar, R., Danermark, B. & Price, L. (2018). Interdisciplinarity and wellbeing: A critical realist general theory of interdisciplinarity. London and New York: Routledge. Blau, P.M. (1981). Introduction: diverse views of social structure and their common denominator. In Blau, P.M. & Merton, R.K. (eds.), Continuity in Structural Inquiry (pp. 1–23). Beverly Hills: Sage. Blau, P.M. (1987). Microprocess and macrostructure. In K.S. Cook (ed.), Social Exchange Theory (pp. 83–100). Newbury Park, CA: Sage. Brooks, R.A., & Maes, P. (eds). (1994). Artificial life IV; proceedings of the Fourth International Workshop on the Synthesis and Simulation of Living Systems. Cambridge, Mass: MIT Press. Clark, A. (1997). Being there: Putting brain, body, and world together again. Cambridge, Mass.: MIT Press. Coleman, J. S. (1987). Microfoundations and macrosocial behavior. In: J. C. Alexander, B. Giesen, R. Munch, & Neil J. Smelser (Eds.). The Micro-Macro Link (pp. 153–73). Berkeley: University of California. Coleman, J. S. (1990). Foundations of social theory. Cambridge, MA: Harvard University Press. Elster, J. (1985). Making sense of Marx. New York: Cambridge University Press. Fodor, J.A. (1974). Special sciences (Or: The disunity of science as a working hypothesis). Synthese, 28(2), 97–115. Fodor, J.A. (1989). Making mind matter more. Philosophical Topics, 17, 59-79. Giddens, A. (1984). The constitution of society: Outline of the theory of structuration. Berkeley: University of California Press. Hempel, C.G. (1965). Aspects of scientific explanation and other essays in the philosophy of science. New York: The Free Press. Horgan, T. (1993). From supervenience to superdupervenience: meeting the demands of a material world. Mind, 102, 555-586. Humphreys, P. (1997). How properties emerge”. Philosophy of Science, 64, 1-17. Kim, J. (1999). Making sense of emergence. Philosophical Studies, 95, 3–36. Kincaid, H. (1997). Individualism and the unity of science. New York: Rowman & Littlefield. Lewis, D.K. (1986). The plurality of worlds. Oxford: Oxford University Press. Nigel, G., & Conte, R. (eds.) (1995). Artificial societies; The computer simulation of social life. London: UCL Press. O’Connor, T. (1994). Emergent properties. American Philosophical Quarterly, 31, 91-104. Popper, K.R. (1968). Conjectures and refutations: The Growth of Scientific Knowledge. New York: Harper & Row. Sawyer, R. K. (2001). Emergence in sociology: contemporary philosophy of mind and some implications for sociological theory. American Journal of Sociology, 107, 551-585. Sawyer, R. K. (2004). The mechanisms of emergence. Philosophy of the Social Sciences, 34, 260–282. Sawyer, R. K. (2005). Social emergence: societies as complex systems. Cambridge: Cambridge University Press. Sawyer, R.K. (2003). Nonreductive individualism: Part 2, Social causation. Philosophy of the Social Sciences, 33, 203–224. Winch, P. (1993). The idea of a social science and its relation to philosophy‭ (SAMT, Trans.). Tehran, Iran: SAMT. (shrink)

Reinhardt’s conjecture, a formalization of the statement that a truthful knowing machine can know its own truthfulness and mechanicalness, was proved by Carlson using sophisticated structural results about the ordinals and transfinite induction just beyond the first epsilon number. We prove a weaker version of the conjecture, by elementary methods and transfinite induction up to a smaller ordinal.

This paper looks at an argument strategy for assessing the epistemic closure principle. This is the principle that says knowledge is closed under known entailment; or (roughly) if S knows p and S knows that p entails q, then S knows that q. The strategy in question looks to the individual conditions on knowledge to see if they are closed. According to one conjecture, if all the individual conditions are closed, then so too is knowledge. I give (...) a deductive argument for this conjecture. According to a second conjecture, if one (or more) condition is not closed, then neither is knowledge. I give an inductive argument for this conjecture. In sum, I defend the strategy by defending the claim that knowledge is closed if, and only if, all the conditions on knowledge are closed. After making my case, I look at what this means for the debate over whether knowledge is closed. (shrink)

This paper concerns Wittgenstein’s conception of philosophical and mathematical problems. Both in his earlier and in his later writings Wittgenstein grapples with the tendency of philosophers to misconstrue the nature of the difficulties that they are facing. Whereas philosophers tend to assume that their problems are comparable to those that come up in the sciences, and take these problems to consist in questions the answers to which will provide them with substantive knowledge, Wittgenstein compares philosophical problems with riddles. What (...) is characteristic of riddles is that solving them involves an alteration of the use of language, but it does not tend to involve the acquisition of new knowledge. In his middle and later period, the comparison with riddles serves to highlight and resolve a related confusion in the way philosophers of mathematics understand the nature of mathematical problems. Wittgenstein rejects the realist approach according to which every mathematical theorem, whether proven or not, meaningfully specifies a possible fact which would make it true or false. By contrast, Wittgenstein construes unproven conjectures on the model of riddle phrases, whose meaning, prior to our finding the solution to them, has not been determined. Moreover, Wittgenstein draws our attention to the fact that we can be caught up in an attempt to solve a riddle even if the riddle does not have a solution; the same applies, in his mind, to our engagement with philosophical and mathematical problems. When it comes to philosophical riddles, Wittgenstein is convinced that they do not have a solution at all. The specific difficulty presented by unproven mathematical conjectures is different; in this case, we cannot tell in advance whether or not they present us with a solvable riddle. The paper situates these issues in the context of ongoing debates in the scholarship concerning Wittgenstein’s conception of nonsense, his methodology, his engagement with mathematical realism and verificationism, and his response to skepticism. (shrink)

‘Speculation’ originally meant ‘reflective observation’. It came to mean ‘conjecture’ or ‘mere conjecture’ as philosophers strove for certainty, consecrating science as rigorously acquired knowledge accumulated through application of the scientific method and devalued the cognitive status of other discourses. The present conventional meaning of speculation, where the place of observation has disappeared, is a by-product of this consecration. In this entry I show how through efforts to defend the status of these other discourses, the original meaning of ‘speculation’ was (...) not only revived but built upon by speculative philosophers. They showed that speculation is primordial to all experience and thinking, with past speculations embodied in language as ‘dead’ metaphors. Revealing the possibility of elaborating alternative metaphors frees us not only from these dead metaphors to overcome the dead-ends of current science, opening up new possibilities for enquiry, but the possibility of reconceiving ourselves and our place in nature. In this way, speculation makes it possible to transform ourselves, creating radically new ways of living and new forms of life. On this view, speculation, by opening new possibilities, could free us from the destructive trajectories of current civilization. (shrink)

Cosmological speculation about the ultimate nature of the universe, being necessary for science to be possible at all, must be regarded as a part of scientific knowledge itself, however epistemologically unsound it may be in other respects. The best such speculation available is that the universe is comprehensible in some way or other and, more specifically, in the light of the immense apparent success of modern natural science, that it is physically comprehensible. But both these speculations may be false; (...) in order to take this possibility into account, we need to adopt an hierarchy of increasingly contentless cosmological conjectures until we arrive at the conjecture that the universe is such that it is possible for us to acquire some knowledge of something, a conjecture which we are justified in accepting as knowledge since doing so cannot harm the pursuit of knowledge in any circumstances whatsoever. As a result of adopting such an hierarchy of increasingly contentless cosmological conjectures in this way, we maximize our chances of adopting conjectures that promote the growth of knowledge, and minimize our chances of taking some cosmological assumption for granted that is false and impedes the growth of knowledge. The hope is that as we increase our knowledge about the world we improve (lower level) cosmological assumptions implicit in our methods, and thus in turn improve our methods. As a result of improving our knowledge we improve our knowledge about how to improve knowledge. Science adapts its own nature to what it learns about the nature of the universe, thus increasing its capacity to make progress in knowledge about the world. This aim-oriented empiricist conception of science solves outstanding problems in the philosophy of science such as the problems of induction, simplicity and verisimilitude. (shrink)

In this radical critique of contemporary social theory, Eugene Halton argues that both modernism and postmodernism are damaged philosophies whose acceptance of the myths of the mind/body dichotomy make them incapable of solving our social dilemmas. Claiming that human beings should be understood as far more than simply a form of knowledge, social construction, or contingent difference, Halton argues that contemporary thought has lost touch with the spontaneous passions—or enchantment—of life. Exploring neglected works in twentieth century social thought and (...) philosophy—particularly the writings of Lewis Mumford and Charles Peirce—as well as the work of contemporary writers such as Vaclav Havel, Maya Angelou, Milan Kundera, Doris Lessing, and Victor Turner, Halton argues that reason is dependent upon nonrational forces—including sentiment, instinct, conjecture, imagination, and experience. We must, he argues, frame our questions in a way which encompasses both enchantment and critical reason, and he offers an outline here for doing so. A passionate plea for a fundamental reexamination of the entrenched assumptions of the modern era, this book deals with issues of vital concern to modern societies and should be read by scholars across disciplines. Robert Bellah: "This is an original, incisive, and badly needed book. In prose as vigorous as his argument, Halton addresses issues urgent in many disciplines, as well as in our common culture." "Halton takes the 'ghost in the machine' as a dominant defining metaphor for modern thought and life, and criticizes it with gusto, wit, wide reading, and philosophical acumen."—Robert J. Mulvaney, _Review of Metaphysics_. (shrink)

In the Principles of Philosophy, Descartes explains several observable phenomena showing that they are caused by special arrangements of unobservable microparticles. Despite these microparticles being unobservable, many passages suggest that he was very confident that these explanations were correct. In other passages, however, Descartes points out that these explanations merely hold the status of “suppositions” or “conjectures” that could be wrong. My main goal in this chapter is to clarify this apparent conflict. I argue first that for Descartes it was (...) indeed possible to have knowledge of unobservable particles and structures, and that the possibility of natural explanations being wrong should be understood as these explanations not being absolutely certain, but only morally certain. I use the debate in contemporary philosophy of science between scientific realism and antirealism as a framework to understand how Cartesian explanations work. Especifically, I argue that Cartesian explanations rely on what Ernan McMullin calls retroduction, which is a mode of inference that justifies beliefs in concrete unobservable entities and processes, based on considerations such as simplicity, coherence, etc. This kind of justification is of common use among scientific realists. Thus, another goal of this chapter is to highlight the relevance of Descartes’ ideas about explanation in the contemporary debate on scientific realism. (shrink)

The Proper Functionist account of warrant – like many otherexternalist accounts – is vulnerable to certain Gettier-style counterexamples involving accidentally true beliefs. In this paper, I briefly survey the development of the account, noting the way it was altered in response to such counterexamples. I then argue that Alvin Plantinga's latest amendment to the account is flawed insofar as it rules out cases of true beliefs which do intuitively strike us as knowledge, and that a conjecture recently put forward (...) by Thomas Crisp is also defective. I conclude by presenting my own suggestion as to how the account can be made less vulnerable to counterexamples involving accidentally true beliefs. Although I stay within the confines of Proper Functionism here, I think that my proposal (modulo a few details) could be attached to other externalist accounts of warrant as well. -/- . (shrink)

The essay compares Peirce's pragmatist approach to the problem of perceptual experience as a fallible foundation of knowledge to a sophisticated empiricist take on the issue. The comparison suggests that, while empiricism can accommodate the idea of perception as fallible, theoretically laden, and containing conjectural elements, the cardinal difference between pragmatism and empiricism consists in the pragmatist insistence on the intrinsic intelligibility of experience, which also serves as the ultimate source of all forms of intelligibility; whereas empiricism retains (...) a penchant for fitting experiences into abstract conceptual schemes. (shrink)

In this paper, I will focus on the phenomenological notion of sense which Husserl calls in Ideen I noematic sense. My reading of Ideen I is based on the interpretation of noema as “object as it is intended”. This notion is developed from “filling sense” in LU. Similar to the Russellian “knowledge by acquaintance”, Husserl means by this notion the direct intuitive acquaintance with an intentional object. However, unlike Russell, Husserl doesn’t restrict this notion to sense data, but extend (...) it to the acquaintance with the perspective way of appearance of an intentional object (Erscheinungsweise, Abschattungen). This is because, unlike Frege, Husserl includes not only intension (Materie), but also illocutionary force (Aktqualität) into his notion of sense (LU, 6. Untersuchung, p. 617). This performative notion of sense requires him to take account of the acquaintance with the background of speech acts as a constitutive part of the broadest notion of sense (Ideen I, p. 233f., 322). If a conjecture e.g. about the back side of a cube: “the back side must be a square”, changes through a perception into a claim about it: “this side is indeed a square”, the change of the illocutionary forces, that is, the “filling sense” of the perception is expressed not by intentional materials (side, square etc.), but by indexicals, modal verbs or tenses, which are understood in a direct acquaintance with the perspective appearance of the cube. Thus, “the changing noematic way of appearance of the whole object as sense” (Husserliana vol. XI, p. 333) is the background or horizon, in implicit acquaintance with which illocutionary forces (Aktqualität in LU, noetischer Charakter in Ideen I) of propositional attitudes towards perceptual objects can be understood. (shrink)

This paper is divided in four parts. In the first part we introduce the method of internal critique of philosophical theories by examination of their external consistency with scientific theories. In the second part two metaphysical and one epistemological postulate of Wittgenstein's Tractatus are made explicit and formally expressed. In the third part we examine whether Tractarian metaphysical and epistemological postulates (the independence of simple states of affairs, the unique mode of their composition, possibility of complete empirical knowledge) are (...) externally consistent with the theory of quantum mechanics. The result of the inquiry is negative: Tractarian postulates ought to be be revised. Relying on the result we approach the question of the empirical character of logic in the fourth part. The description of theoretical transformations of the notion of disjunction, in its ontological, epistemological, and logical sense, is a common element of in all parts of the text. The conjecture on the existence of different types of disjunctive connectives in the language of quantum mechanics concludes the paper. (shrink)

This thesis studies the formation of rules of experience in Weberian methodology and its adequacy to scientific validation criteria. It was sought to investigate, in the first part of the work, a proposal of justification for the so-called eligibility criteria. It was also tried to explain the meaning used in this research of the term “reason”, which is based on the theoretical conception of the operative reason exposed by Newton da Costa. Again, with the help of the writings of the (...) same author, we have examined those, so named by him, pragmatic principles of scientific reason. The second section of this study presented the three eligibility criteria, namely: i) the difference between to be (sein) and to ought to be (sollen); ii) the possibility of subsumption of individual action; iii) the construction of concepts as ideal types. In the third part of this work, rationally correct action was justified as an anticipated conjecture for a reflexive operation. However, it was supported that there is a significant difference in relation to the rules of experience when applied for the construction of the agent’s actions and in their use for validating the imputation of causal links between social phenomena. In order to validate the results of the research, the rules of experience must be cleverly designed to be general propositions of the experiment, and for this, the characterization of these rules was based in the so-called “Fermi solution”. Subsequent to this methodological proposal, we pondered how the scientist conducts a thought experiment in the empirical sciences of action and the judgment of objective possibility as a counterfactual proposition was logically structured. Thus, we tried to demonstrate the logical structure of the validation mode of knowledge produced in the empirical sciences of action from Weberian pattern. (shrink)

The influential physicist Richard Feynman became interested in the relationship between religion and science during a mid-career phase. He proposed that their interface was embroiled in unresolvable difficulties. He felt that science demanded an attitude of uncertainty for its claims, while religion contrarily required certain belief in its core doctrines. Though possessing several non-contradictory dimensions, Feynman felt that the nature of the truth claims of science and religion suffered from insurmountable elemental conflicts. This was by contrast to Karl Popper, the (...) leading critical rationalist of the 20th century, who argued that there could be no tension between science and religion. This paper will argue that the ‘Feynman Problem’ is not as insoluble as it appears. Rather, several solutions exist within critical rationalism. Two will be presented-the first revolves around the conjectural basis of knowledge and is already a well characterised critical rationalist notion. The second is a novel solution based on the separate categorisation of psychological, pragmatic, and epistemological attitudes to religion and science. Karl Popper’s view of religion-science dissimilarity was a minimalist point of departure for critical rationalists, who have developed increasingly sophisticated frameworks for investigating the relationship between faith and reason. Critical rationalism represents an equally inspirational methodology for the pursuit of scientific and religious truth. Though both Feynman and Popper’s views on religion were underdeveloped, they foreshadowed the religion-science frameworks advocated by many late 20th century scientists, especially in the form of New Atheism and Gould’s NOMA theory. (shrink)

Popper's account of refutation is the linchpin of his famous view that the method of science is the method of conjecture and refutation. This thesis critically examines his account of refutation, and in particular the practice he deprecates as avoiding a refutation. I try to explain how he comes to hold the views that he does about these matters; how he seeks to make them plausible; how he has influenced others to accept his mistakes, and how some of the ideas (...) or responses to Popper of such people are thus similarly mistaken. I draw some distinctions necessary to the provision of an adequate account of the so-called practice of avoiding a refutation, and try to rid the debate about this practice of at least one red herring. I analyse one case of 'avoiding' a refutation in detail to show how the rationality of scientific practice eludes both Popper and many of his commentators. Popper's skepticism about contingent knowledge prevents him from providing an acceptable account of contingent refutation, and so his method is really the method of conjecture and conjecture. He cannot do without the concepts of knowledge and refutation, however, if his account of science is to be plausible or persuasive, and so he equivocates between, amongst other things, refutation as disproof and refutation as the weaker notion of discorroboration. I criticise David Stove's account of this matter, in particular to show how he misses this point. An additional advantage Popper would secure from this equivocation is that if refutations were mere discorroborations they would be easier to achieve, and hence more common in science, than is the case. On Popper's weak notion of refutation, it would be possible to refute true theories since corroboration does not entail truth. There are two other related doctrines Popper holds about refutation which, if accepted, make some refutations seem easier to obtain than is the case. I call these doctrines 'Strong Popperian Falsificationism' (SPF) and 'Weak Popperian Falsificationism' (WPF). SPF is the false doctrine that if a prediction from some theory is refuted then that theory is refuted. Popper does not always endorse SPF. In particular, when confronted with a counterexample to it, he retreats to WPF, which is the false doctrine that if a prediction from some theory is refuted then that theory is prima facie refuted. WPF , or even SPF, can seem plausible if one has in mind predictions derived from theories in strong or conclusive tests of those theories, which I suggest Popper characteristically does. v Popper is disposed to describe any such case of predictive failure which does not lead to the refutation of the theory concerned as one in which that refutation has been avoided. To reinforce his portrayal of the refutation, or the attempted refutation, of major scientific theories as the rational core of scientific practice, Popper treats the so-called practice of avoiding a refutation as untypical of science, and much so-called avoidance he dismisses as unscientific or pseudo-scientific. I argue that his notion of avoiding a refutation is incoherent. Popper is further driven to believe that such avoidance is possible, however, because he conflates sentences with propositions and propositions with propositional beliefs. Also, he wishes to avoid being saddled with the relativisim that is a consequence of his weak account of refutation as discorroboration. Popper believes that ad hoc hypotheses are the most important of the unscientific means of avoiding a refutation. I argue that his account of such hypotheses is also incoherent, and that several hypotheses thought to be ad hoc in his sense are not. Such hypotheses appear to be so largely because of Popper's use of rhetoric and partly because these hypotheses are unacceptable for other reasons. I conclude that to know that a hypothesis is ad hoc in Popper's sense does not illuminate scientific practice. Popper has also attempted to explicate ad hocness in terms of some undesirable, or allegedly undesirable, properties of hypotheses or the explanations they would provide. The first such property is circularity, which is undesirable; the second such property is reduction in empirical content, which is not. In the former case I argue that non-circularity is clearly preferable to non-ad hocness as a criterion for a satisfactory explanation or explanans, as the case may be, and in the latter case that Popper is barking up the wrong tree. Some cases of so-called avoidance are obviously not unscientific. The discovery of Neptune from a prediction based on the reasonable belief that there were residual perturbations in the motion of Uranus is an important case in point, and one that is much discussed in the literature. The manifest failure of astronomers to account for Uranus's motion did not lead to the refutation of Newton's law of gravitiation, yet significant scientific progress obviously did result. Retreating to WPF, Popper claims that Newton's law was prima facie refuted. In general, astronomers have never shared this view, and they are correct in not doing so. I argue that the law of gravitation would have been prima facie refuted only if there had been good reason at the time to believe as false what is true, namely, that an unknown trans-Uranian planet was the cause of those Uranian residuals. Knowledge of the trans-Uranian region was then so slight that it was merely a convenient assumption, one which there was little reason to believe was false, that the known influences on Uranus's motion were the only such influences. I conclude that in believing vi or supposing that it was this assumption that was false, rather than the law of gravitation, Leverrier and Adams, the co-predictors of Neptune, were acting rationally and intelligently. Popper's commentators offer a variety of accounts of the alleged practice of avoiding a refutation, and of this case in particular. I analyse a sample of their accounts to show how common is the acceptance of some of Popper's basic mistakes, even amongst those who claim to reject his falsificationism, and to display the effects on their accounts of this acceptance of his mistakes. Many commentators recognize that anomalies are typically dealt with by changes in the boundary conditions or in other of the auxiliary propositions employed. Where many still go wrong, however, is in retaining the presupposition of WPF which encouraged Popper to hold the contradictory view about anomalies in the first place. Thus Imre Lakatos and others, for example, have developed a 'siege mentality' about major scientific theories; they see them as under continual threat of refutation from anomalies, and so come to believe that dogmatism is essential in science if such theories are to survive as they do. I examine various such doomed attempts to reconcile Popper with the history of science. It is a common failure in this literature to conflate or to fail to see the need to distinguish a belief from a supposition, and an epistemic reason from a pragmatic reason. I argue that only if one does draw these distinctions can one give an adequate account of how anomalies are rationally dealt with in science. The other important strand in Popper's thinking about 'avoidance' of refutation which has seriously misled some of his commentators is his unfounded belief in the dangers of ad hoc hypotheses. I examine the accounts that a sample of such commentators provide of the trans-Uranian planet hypotheses of Leverrier and Adams. These commentators imply or assert what Popper only hints at, namely, that there is something fishy about this hypothesis. I provide a further defence of the rationality of entertaining this hypothesis at the time. I conclude with a few remarks about Popper's dilemma in respect of scientific practice and his long standing emphasis on refutations. (shrink)

Justificationism is the epistemology that enjoins us to choose our beliefs according to this principle: choose all and only those beliefs and at an appropriate degree of confidence that one can justify, either by an intellectual certificate or empirical warrant. My article argues that most forms of justificationism require the truth of doxastic voluntarism, the doctrine that one may choose ones specific beliefs. However, since belief is involuntary, justificationism is severely undermined. Justificationism as stated couldn’t be practised; since believing is (...) not something we can do at will as a basic action. Although devastating to any subjectivist justificationism, it does not undermine our ability to cultivate, through long-term choices, the most rational attitude in the search for truth and the growth of knowledge. A major rival of subjective justiticationism (SJ) is critical rationalism (CR). CR is the doctrine that progress in the growth of knowledge occurs through the unrelenting criticism of competing unjustified conjectural attempts to solve problems. The objective methods and standards involved in CR are unaffected because following (or not) an objective method is something we can do at will. (shrink)

Clayton and Stevens argue that political liberals should engage with the religiously unreasonable by offering religious responses and showing that their religious views are mistaken, instead of refusing to engage with them. Yet they recognize that political liberals will face a dilemma due to such religious responses: either their responses will alienate certain reasonable citizens, or their engagements will appear disingenuous. Thus, there should be a division of justificatory labour. The duty of engagement should be delegated to religious citizens. In (...) this comment, I will argue that the division of justificatory labour is indefensible. This dilemma can be avoided if politicians and political philosophers correctly use conjecture, a form of discourse that involves non-public reason. As a conditional response, conjecture avoids alienating any reasonable citizens. Also, if conjecture is given in a sincere and open-minded manner, then the problem of disingenuousness can be overcome. My comment concludes that while the engagement of politicians and political philosophers does not necessarily jeopardize overlapping consensus, they should be permitted, or perhaps even required, to engage with the religiously unreasonable due to the natural duty of justice. (shrink)

In Posterior Analytics 71b9 12, we find Aristotle’s definition of scientific knowledge. The definiens is taken to have only two informative parts: scientific knowledge must be knowledge of the cause and its object must be necessary. However, there is also a contrast between the definiendum and a sophistic way of knowing, which is marked by the expression “kata sumbebekos”. Not much attention has been paid to this contrast. In this paper, I discuss Aristotle’s definition paying due attention (...) to this contrast and to the way it interacts with the two conditions presented in the definiens. I claim that the “necessity” condition ammounts to explanatory appropriateness of the cause. (shrink)

In this short note many conjectures on partitions of integers as summations of prime numbers are presented, which are extension of Goldbach conjecture.

In “The Myth of Factive Verbs” (Hazlett 2010), I had four closely related goals. The first (pp. 497-99, p. 522) was to criticize appeals to ordinary language in epistemology. The second (p. 499) was to criticize the argument that truth is a necessary condition on knowledge because “knows” is factive. The third (pp. 507-19) – which was the intended means of achieving the first two – was to defend a semantics for “knows” on which <S knows p> can be (...) true even if p isn’t true. The fourth (Ibid.) – which seemed necessary for the success of the third – was to defend a pragmatic account of the fact that utterances of <S knows p> typically imply p, on which the implication in those cases is down to conversational implicature. In this paper I’ll go after these goals again, with an emphasis on the second. Our topic will be whether the factivity of “knows” (whatever this amounts to) supports the truth condition on knowledge. A new goal will be to defend my argument against some criticisms from John Turri (2011) and Savas Tsohatzidis (forthcoming). We’ll first look at the truth condition (§1) and factive presupposition (§§2 – 3), before turning to replies to Turri and Tsohatzidis (§§4 – 7). (shrink)

Here is a definition of knowledge: for you to know a proposition p is for you to have an outright belief in p that is correct precisely because it manifests the virtue of rationality. This definition resembles Ernest Sosa’s “virtue theory”, except that on this definition, the only virtue that must be manifested in all instances of knowledge is rationality, and no reductive account of rationality is attempted—rationality is assumed to be an irreducibly normative notion. This definition is (...) compatible with “internalism” about rationality, and with a form of “pragmatic encroachment” on the conditions of rational outright belief. An interpretation is given of this definition, and especially of the sense of ’because’ that it involves. On this interpretation, this definition entails that both safety and adherence are necessary conditions on knowledge; it supports a kind of contextualism about terms like ‘knowledge’; and it provides resources to defend safety, adherence, and contextualism, against some recent objections. (shrink)

Since the publication of Timothy Williamson’s Knowledge and its Limits, knowledge-first epistemology has become increasingly influential within epistemology. This paper discusses the viability of the knowledge-first program. The paper has two main parts. In the first part, I briefly present knowledge-first epistemology as well as several big picture reasons for concern about this program. While this considerations are pressing, I concede, however, that they are not conclusive. To determine the viability of knowledge-first epistemology will require (...) philosophers to carefully evaluate the individual theses endorsed by knowledge-first epistemologists as well as to compare it with alternative packages of views. In the second part of the paper, I contribute to this evaluation by considering a specific thesis endorsed by many knowledge-first epistemologists – the knowledge norm of assertion. According to this norm, roughly speaking, one should assert that p only if one knows that p. I present and motivate this thesis. I then turn to a familiar concern with the norm: In many cases, it is intuitively appropriate for someone who has a strongly justified belief that p, but who doesn't know that p, to assert that p. Proponents of the knowledge norm of assertion typically explain away our judgments about such cases by arguing that the relevant assertion is improper but that the subject has an excuse and is therefore not blameworthy for making the assertion. I argue that that this response does not work. In many of the problem cases, it is not merely that the subject’s assertion is blameless. Rather, the subject positively ought to make the assertion. Appealing to an excuse cannot be used to adequately explain this fact. (Nor can we explain this fact by appealing to some other, quite different, consideration.) Finally, I conclude by briefly considering whether we should replace the knowledge norm of assertion with an alternative norm. I argue that the most plausible view is that there is no norm specifically tied to assertion. (shrink)

I argue that you can have a priori knowledge of propositions that neither are nor appear necessarily true. You can know a priori contingent propositions that you recognize as such. This overturns a standard view in contemporary epistemology and the traditional view of the a priori, which restrict a priori knowledge to necessary truths, or at least to truths that appear necessary.

The first aim of this paper is to prove a topological completeness theorem for a weak version of Stalnaker’s logic KB of knowledge and belief. The weak version of KB is characterized by the assumption that the axioms and rules of KB have to be satisfied with the exception of the axiom (NI) of negative introspection. The proof of a topological completeness theorem for weak KB is based on the fact that nuclei (as defined in the framework of point-free (...) topology) give rise to a profusion of topological belief operators that are compatible with the familiar topological knowledge operator. Thereby a canonical topological model for weak KB can be constructed. For this canonical model a truth lemma for the K and B holds such that a completeness theorem for KB can be proved in the familiar way. The second aim of this paper is to show that the topological interpretation of knowledge K comes along with a complete Heyting algebra of belief operators B that all fit the knowledge operator K in the sense that the pairs (K, B) satisfy all axioms of weak KB. This amounts to a pluralistic relation between knowledge and belief: Knowledge does not fully determine belief, rather it designs a conceptual space for belief operators where different (competing) belief operators coexist. (shrink)

Despite the ubiquity of knowledge attribution in human social cognition, its associated neural and cognitive mechanisms are poorly documented. A wealth of converging evidence in cognitive neuroscience has identified independent perspective-taking and inhibitory processes for belief attribution, but the extent to which these processes are shared by knowledge attribution isn't presently understood. Here, we present the findings of an EEG study designed to directly address this shortcoming. These findings suggest that belief attribution is not a component process in (...) knowledge attribution, contra a standard attitude taken by philosophers. Instead, observed differences in P3b amplitude indicate that knowledge attribution doesn't recruit the strong self-perspective inhibition characteristic of belief attribution. However, both belief and knowledge attribution were observed to display a late slow wave widely associated with mental state attribution, indicating that knowledge attribution also shares in more general processing of others' mental states. These results provide a new perspective both on how we think about knowledge attribution, as well as Theory of Mind processes generally. (shrink)

This paper argues that both a limited doxastic voluntarism and anti-evidentialism are consistent with the views that the aim of belief is truth or knowledge and that this aim plays an important role in norm-setting for beliefs. More cautiously, it argues that limited doxastic voluntarism is (or would be) a useful capacity for agents concerned with truth tracking to possess, and that having it would confer some straightforward benefits of both an epistemic and non-epistemic variety to an agent concerned (...) with truth tracking. (shrink)

In this paper I defend the view that knowledge is belief for reasons that are both objectively and subjectively sufficient from an important objection due to Daniel Whiting, in this journal. Whiting argues that this view fails to deal adequately with a familiar sort of counterexample to analyses of knowledge, fake barn cases. I accept Whiting’s conclusion that my earlier paper offered an inadequate treatment of fake barn cases, but defend a new account of basic perceptual reasons that (...) is consistent with the account of knowledge and successfully deals with fake barns. (shrink)

A number of philosophers have recently proposed several alleged cases of “knowledge from falsehood,” i.e., cases of inferential knowledge epistemised by an inference with a false crucial premise. This paper examines such cases and argues against interpreting them as cases of knowledge from falsehood. Specifically, I argue that the inferences in play in such cases are in no position to epistemise their conclusions.

I will explore the paradoxical nature of epistemic access. By critiquing the traditional conception of mental states that are labelled as ’knowledge’, I demonstrate the susceptibility of these states to an infinite regress, thus, challenging their existence and validity. I scrutinise the assumption that an epistemic agent can have complete epistemic access to all facts about a given object while simultaneously being ignorant of certain truths that impact the very knowledge claims about the object. I further analyse the (...) implications of this paradox when attempting to fine-grain the parameters of epistemic access, which happens to reveal the vacuity of such definitions and the inevitability of the regress. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Plato on Knowledge as a Power1Nicholas D. SmithAt 471C4 in Plato’s Republic, the argument takes a sudden turn when Glaucon becomes impatient with all of the specific prescriptions Socrates has been making, and asks to return to the issue Socrates had earlier set aside—whether or not the city he was describing could ever be brought into being. In response to Glaucon’s impatient question, Socrates articulates his “third wave (...) of paradox” (472ag–7), namely, that the ills of the cities will never be ended until either philosophers become rulers or rulers become philosophers (473c11–d6). Glaucon immediately responds that such a view is likely to be greeted with violence and scorn (473e6–474a4), and so Socrates must hasten to explain his odd claim. His explanation, it turns out, is that true philosophers have an enormous cognitive advantage over non-philosophers—philosophers have and use knowledge (ἐπιστήμη), whereas non-philosophers have and use only opinion (δόξα).2 This distinction, between επιστήμη and δόξα, turns out: to be a distinction between two different cognitive powers (δυνάμεις—477d7–e3). And different powers, Plato clearly tells us, apply to or take as their objects (Plato says they are “ἐπί”) different things (477dl).In this paper, I shall argue that the relationship between the cognitive powers and their various objects has been fundamentally misunderstood, which has led scholars into one or more misinterpretations of important and explicit features of the text. At the heart of these misunderstandings, I claim, is [End Page 145] their shared misconception of the relation between the cognitive power and its objects as interpretable in terms of the relationship between a cognitive stale and what the content of that state is of or about.3 One consequence of the view for which I shall argue is that what has come to be known as the “two-worlds theory”4 of Plato’s epistemology is seriously mistaken, but no less mistaken than the alternatives given by its recent critics. Another consequence that I shall draw from my argument is that Plato should be understood neither as a kind of foundationalist with regard to knowledge and warrant, as some have supposed him to be,5 nor as a coherentist, as others have supposed,6 but, rather, as a kind of causal reliabilist. [End Page 146]1. KNOWLEDGE AS A POWERScholarly interpretations of Plato’s epistemology have routinely sought to understand the relationships between each cognitive power of Republic Book V and the objects of the ἐφ’ ᾦ (“what it is related to”) condition by which it is differentiated from other δυνάμεις as Plato’s way of telling us what each sort of cognition is of or aboul. 7 So, for example, we find Gail Fine using the expressions “belief [δόξα] is set over [Fine’s translation of Plato’s ἐπί] …” and “knowledge is set over …” interchangeably with “belief is of …” or “belief is about…” and “knowledge is of …” or “knowledge is about …”8 Against the “two-worlds theory,” Fine argues that, for Plato, there can be knowledge of sensibles and beliefs about Forms. Accordingly, since she assimilates the power-ἐπί-object set of relations to the cognilion-of/about-object relation, she concludes—in order to account for knowledge of sensibles and beliefs about Forms—that the objects of knowledge and opinion must be propositions. Plato’s claims that knowledge is ἐπί what is, whereas opinion is ἐπί what is and is not, Fine understands as, “One can only know true propositions; one can believe both true and false propositions.”9 We shall see later that this “veridical” understanding of what Plato means to identify as “what is,” and “what is and is not” fails to account for important and explicit elements of Plato’s exposition of the epistemological and metaphysical distinctions he is making. For now, it is enough to note that Fine understands the ἐφ’ᾦ) relation in terms of our cognition-of/about-object relation. One finds the same assimilation made by those who advance existential readings of Plato’s “is” and “is not,”10 as [End Page 147] well as those who have urged that we adopt predicative readings of “is” and “is not.”11But I think there are very serious problems with this assimilation. Plato is very... (shrink)

Cumulative cultural knowledge [CCK], the knowledge we acquire via social learning and has been refined by previous generations, is of central importance to our species’ flourishing. Considering its importance, we should expect that our best epistemological theories can account for how this happens. Perhaps surprisingly, CCK and how we acquire it via cultural learning has only received little attention from social epistemologists. Here, I focus on how we should epistemically evaluate how agents acquire CCK. After sampling some reasons (...) why extant theories cannot account for CCK, I suggest that things aren’t as bleak as they might look. I explain how agents deserve epistemic credit for how CCK is transmitted in cultural learning by promoting a central need of their social group: The efficient and safe transmission of CCK. A good initial fit exists between this observation and Greco’s knowledge-economy framework. Ultimately, however, Greco’s account doesn’t straightforwardly account for CCK because of its strict focus on testimony. I point out two issues in the framework due to this focus. The resulting view advocates giving epistemic credit to agents when they act to promote their communities’ epistemic needs in the right way and highlights the various ways in which agents come to do this. (shrink)