It is observed that most development modalities employed over the years for achieving community development in Africa have not leaved up to expectation in terms of involving the majority of people in the quest for national transformation and development; rather, these modalities tend to complicate the very problems they are set out to solve. The situation is mostly like this because the adopted development strategies have not taken adequate cognizance the essence of effective communication methods and the importance of people’s (...) perspectives and peculiarities in these processes. Mostly, the so-called outsiders and experts in development matters who are physically and socially separated from the people think for them and about their development. This situation is inimical to genuine and sustainable development. It is important therefore to note that development can only be meaningful and sustainable when it is people generated; involving people’s real needs and their participation in the process of achieving them. It is at this point therefore that community theatre can come handy as it has the potentials to bring people together to discuss issues that disempowered them and participatorily proffer solutions to the negatives. Community theatre can be explored to work with rural and urban people; mostly the rural dwellers who are mostly disempowered. In view of this therefore, this paper posits that community theatre is a method of participatory communication towards achieving social change. (shrink)

Georg Cantor was the genuine discoverer of the Mathematical Infinity, and whatever he claimed, suggested, or even surmised should be taken seriously -- albeit not necessary at its face value. Because alongside his exquisite in beauty ordinal construction and his fundamental powerset description of the continuum, Cantor has also left to us his obsessive presumption that the universe of sets should be subjected to laws similar to those governing the set of natural numbers, including the universal principles of cardinal comparability (...) and well-ordering -- and implying an ordinal re-creation of the continuum. During the last hundred years, the mainstream set-theoretical research -- all insights and adjustments due to Kurt G\"odel's revolutionary insights and discoveries notwithstanding -- has compliantly centered its efforts on ad hoc axiomatizations of Cantor's intuitive transfinite design. We demonstrate here that the ontological and epistemic sustainability} of this design has been irremediably compromised by the underlying peremptory, Reductionist mindset of the XIXth century's ideology of science. (shrink)

What is so special and mysterious about the Continuum, this ancient, always topical, and alongside the concept of integers, most intuitively transparent and omnipresent conceptual and formal medium for mathematical constructions and the battle field of mathematical inquiries ? And why it resists the century long siege by best mathematical minds of all times committed to penetrate once and for all its set-theoretical enigma ? -/- The double-edged purpose of the present study is to save from the transfinite deadlock of (...) higher set theory the jewel of mathematical Continuum -- this genuine, even if mostly forgotten today raison d'etre of all set-theoretical enterprises to Infinity and beyond, from Georg Cantor to W. Hugh Woodin to Buzz Lightyear, by simultaneously exhibiting the limits and pitfalls of all old and new reductionist foundational approaches to mathematical truth: be it Cantor's or post-Cantorian Idealism, Brouwer's or post-Brouwerian Constructivism, Hilbert's or post-Hilbertian Formalism, Goedel's or post-Goedelian Platonism. -/- In the spirit of Zeno's paradoxes, but with the enormous historical advantage of hindsight, we claim that Cantor's set-theoretical methodology, powerful and reach in proof-theoretic and similar applications as it might be, is inherently limited by its epistemological framework of transfinite local causality, and neither can be held accountable for the properties of the Continuum already acquired through geometrical, analytical, and arithmetical studies, nor can it be used for an adequate, conceptually sensible, operationally workable, and axiomatically sustainable re-creation of the Continuum. -/- From a strictly mathematical point of view, this intrinsic limitation of the constative and explicative power of higher set theory finds its explanation in the identified in this study ultimate phenomenological obstacle to Cantor's transfinite construction, similar to topological obstacles in homotopy theory and theoretical physics: the entanglement capacity of the mathematical Continuum. (shrink)

We present here a biblical exegesis of the value of Pi, PI_{Hebrew} = 3.141509 ..., from the well known verse 1 Kings 7:23. This verse is then compared to 2 Chronicles 4:2; the comparison provides independent supporting evidence for the exegesis.

Guessing the outcome of iterations of even most simple arithmetical functions could be an extremely hazardous experience. Not less harder, if at all possible, might be to prove the veracity of even a "sure" guess concerning iterations : this is the case of the famous 3x+1 conjecture. Our purpose here is to study and conceptualize some intuitive insights related to the ultimate (un)solvability of this conjecture.

The original purpose of the present study, 2011, started with a preprint «On the Probable Failure of the Uncountable Power Set Axiom», 1988, is to save from the transfinite deadlock of higher set theory the jewel of mathematical Continuum — this genuine, even if mostly forgotten today raison d’être of all traditional set-theoretical enterprises to Infinity and beyond, from Georg Cantor to David Hilbert to Kurt Gödel to W. Hugh Woodin to Buzz Lightyear.

The enigma of the Emergence of Natural Languages, coupled or not with the closely related problem of their Evolution is perceived today as one of the most important scientific problems. The purpose of the present study is actually to outline such a solution to our problem which is epistemologically consonant with the Big Bang solution of the problem of the Emergence of the Universe}. Such an outline, however, becomes articulable, understandable, and workable only in a drastically extended epistemic and scientific (...) oecumene, where known and habitual approaches to the problem, both theoretical and experimental, become distant, isolated, even if to some degree still hospitable conceptual and methodological islands. The guiding light of our inquiry will be Eugene Paul Wigner's metaphor of ``the unreasonable effectiveness of mathematics in natural sciences'', i.e., the steadily evolving before our eyes, since at least XVIIth century, ``the miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics''. Kurt Goedel's incompleteness and undecidability theory will be our guardian discerner against logical fallacies of otherwise apparently plausible explanations. John Bell's ``unspeakableness'' and the commonplace counterintuitive character of quantum phenomena will be our encouragers. And the radical novelty of the introduced here and adapted to our purposes Big Bang epistemological paradigm will be an appropriate, even if probably shocking response to our equally shocking discovery in the oldest among well preserved linguistic fossils of perfect mathematical structures outdoing the best artifactual Assemblers. (shrink)

Scientific enterprise is a part and parcel of the contemporaneous to it general human cultural and, even more general, existential endeavor. Thus, the fundamental for us notion of evolution, in the modern sense of this characteristically Occidental term, appeared in the 19-th century, with its everything pervading, irreversible cultural and technological change and the existential turmoil. Similarly, a formerly relatively recherché word emergence, became a widely used scientific term only in the 20-th century, with its cultural, economical, political, and national (...) sagas of emergence and destruction played against a background of the universe emerging from the Big Bang and disappearing into its black holes, if not into its ultimate Big Collapse. Today, the rules of engagement in scientific emergence-evolution games, steadily spreading from natural to cognitive sciences, and beyond, are dominated by the 19-th century concept of natural selection which has inverted the time-arrow of the classical creationist dogma, with its rarely spelled out pessimistic implication that the life is moving from the highest biological organization to an entropic chaos. In its turn, the natural selection’s excessively contagious, “do-it-yourself” optimism might ultimately turn out to be its undoing : the natural selection conjecture, when transposed to such fields as linguistics from the strictly biological scene, with its times of engagement ranging from at most hundred years of life expectancy for an individual organism to at least millions and even billions of years for evolutionary processes to bring this or that organism to existence, becomes for the first time verifiable and even falsifiable. The present paper studies some implications of the well-known but almost universally disregarded tight combinatorial morphological-semantic structure of the verbal system of Biblical Hebrew, to show that this linguistic fossil testifies to the existence of a now extinct Proto-Language whose extremely tight verbal organization and meaningful architecture made it both structurally strikingly similar and expressively vastly superior to humanly designed Assembler languages, – an absolutely novel, paradoxical phenomenon, never before and nowhere else observed and apparently incompatible with the basic tenets of modern linguistic natural selection theories and, at the very least, crying out for new explanatory linguistic paradigms. (shrink)

"The definitive clarification of the nature of the infinite has become necessary, not merely for the special interests of the individual sciences, but rather for the honour of the human understanding itself. The infinite has always stirred the emotions of mankind more deeply than any other question; the infinite has stimulated and fertilized reason as few other ideas have ; but also the infinite, more than other notion, is in need of clarification." (David Hilbert 1925).

Building on theoretical insights and rich experimental data of our preprints, we present here new theoretical and experimental results in three interrelated approaches to the Collatz problem and its generalizations: algorithmic decidability, random behavior, and Diophantine representation of related discrete dynamical systems, and their cyclic and divergent properties.

The problem of the emergence and evolution of natural languages is seen today by many specialists as one of the most difficult problems in the cognitive sciences. We believe that a key to unravelling this enigma is the close relationship of language to mathematics.

Biblical Hebrew, BH, could be seen as primarily a verbal language [1], with an average verse of the Hebrew Bible containing no less than three verbs and with the biggest part of its vocabulary representing morphological derivations from verbal roots, almost entirely triliteral, or triconsonantal, – the feature BH shares with all Semitic and a few other Afro- Asiatic languages. The unique peculiarity of this triconsonantal morphological pervasiveness did not completely escape the attention of previous generations of Western linguists, as (...) shows the following “methodological” warning opening a popular Hebrew grammar edited more than a century ago: «The roots, whatever may have been their original form, are in the Old Testament almost entirely triliteral, ... thus imposing upon the memory a very heavy strain. ... Every verb has to be learned separately; the verbs to go out, to go up, to go down are quite different, having nothing in common with one another and being quite unrelated to the verb to go.» This amusing résumé has the merit to recognize, even if under the guise of an earnestly banal pedagogical clueing in, two extraordinary fundamental linguistic phenomena common to all Semitic languages, the very objects of the present study. (shrink)

In the search of new approaches to the problem of emergence and evolution of natural languages, Mathematics, Theoretical Computer Science, as well as Molecular Biology and Neuroscience, both deeply penetrated and profoundly inspired by concepts originated in Mathematics and Computer Science, represent today the richest pools of formal concepts, structures, and methods to borrow and to adapt.

In the search of new approaches to the problem of emergence and evolution of natural languages, Mathematics, Theoretical Computer Science, as well as Molecular Biology and Neuroscience, both deeply penetrated and profoundly inspired by concepts originated in Mathematics and Computer Science, represent today the richest pools of formal concepts, structures, and methods to borrow and to adapt.

Perceptual experience is often said to be transparent; that is, when we have a perceptual experience we seem to be aware of properties of the objects around us, and never seem to be aware of properties of the experience itself. This is a introspective fact. It is also often said that we can infer a metaphysical fact from this introspective fact, e.g. a fact about the nature of perceptual experience. A transparency theory fills in the details for these two facts, (...) and bridges the gap between them. We have three aims: to scrutinize Michael Tye’s transparency theory :137–151, 2002; Consciousness revisited: materialism without phenomenal concepts, MIT Press, Cambridge, 2009; Philos Stud 170:39–57, 2014a), introduce a new transparency theory, and advance a meta-theoretical hypothesis about the interest, and import, of transparency theories. (shrink)

This is a conjecture about the conditions and operating structures that are required for the phenomenality of certain mental states. Specifically, full-blown phenomenality is assumed, as contrasted with constrained examples of phenomenal experience such as sensations of color and pain. Propositional attitudes and content, while not phenomenal per se, are standardly concurrent and may condition phenomenal states (e.g., when tied to false beliefs). It is conjectured that full phenomenality natively arises in coherent processes of situated sensory synthesis and representation (with (...) conceptual content) that are looped, mereologically whole and multi-dimensional. And that phenomenal states are typically phase-states within a parameterized conjoint structure of world and experiencer processes that are causally modulated across Markov blankets (which are conditionally independent and may be nested: cf. M. Kirchoff, et. al., 2017, 2018; and T. Burge, 2010, re: anti-individualism). Though they may, it is not accepted that phenomenally conscious states must be targets of higher-order representations (cf. A. Byrne, 2004). (shrink)

This inquiry is addressed to two questions: (1) what if any logical relations might exist between the concepts of desire and action (as they and the distinctions to which they commit us are ensconced in ordinary parlance), and (2) what if any causal or significant non-causal (i.e., material) relations might ever exist between instances of desire and action? -/- It is held that any credible move to deal with such questions must initially, and at some length, specify the employment conditions (...) for the terms 'want' and 'desire'. This is accomplished in the first two chapters wherein a set of premises is generated for the argument of the inquiry which is presented in full and concluded in the third and final chapter. Premises generated devolve from treatment of the following major topics: (a) the grammar of 'want' and 'desire', (b) the ontological status of wants, (c) first-person and third-person want ascriptions, (d) the sorts of things which may be desired (desiderabilia), (e) wants and lacks, (f) wants and wishes, (g) the 'conflicts' of desires and reason and desire, (h) four major candidates for logical relations between wants and acts, (i) the issue of causation, and (j) the placement of Desire in an adequate ontology of persons. -/- It is argued that every major candidate for a logical relation between wants and acts (or our warrant for believing that such a connection exists) breaks down upon analysis; that little warrant exists for construing wants as causes of acts; that wants and acts are related in significant non-logical and non-causal (i.e., material) respects; and that any fully adequate theory of human action must undertake ontology, placing the category of Desire squarely in the foreground. This project represents neither a general theory of desire nor a general theory of human action. It is rather conceived as a propaedeutic to any such inquiry. It is essentially revisionist in intent, setting out on the one hand to challenge existing claims about wants and acts and, on the other hand, proposing a more satisfactory approach to the issue. In no sense is it suggested that recent Anglo-American contributions are without merit. It is rather argued that they are often inadequate contributions vis-a-vis the larger requirements for an adequate theory of human action. (shrink)

Comparativism is the view that comparative confidences (e.g., being more confident that P than that Q) are more fundamental than degrees of belief (e.g., believing that P with some strength x). In this paper, I outline the basis for a new, non-probabilistic version of comparativism inspired by a suggestion made by Frank Ramsey in `Probability and Partial Belief'. I show how, and to what extent, `Ramseyan comparativism' might be used to weaken the (unrealistically strong) probabilistic coherence conditions that comparativism traditionally (...) relies on. (shrink)

Some believe that all arguments make an implicit “inference claim” that the conclusion is inferable from the premises (e.g., Bermejo-Luque, Grennan, the Groarkes, Hitchcock, Scriven). I try to show that this is confused. An act of arguing arises because an inference can be attributed to us, not a meta-level “inference claim” that would make the argument self-referential and regressive. I develop six (other) possible explanations of the popularity of the doctrine that similarly identify confusions.

Traditional hedonists like Epicurus, Bentham and Sidgwick were quantitative hedonists who assumed that pleasures and pains differ, not just from each other, but also from other pleasures and pains only in such quantitatively measurable ways as intensity, duration, and nearness or remoteness in time. They also differ with respect to their sources or causes. John Stuart Mill introduced an interesting and important complication into the modern theory of hedonism by insisting that pleasures also differ qualitatively as well as quantitatively. This (...) article thoroughly and critically examines Mill’s attempt to explain what qualitative differences might mean, and it proposes, defends, and extends a plausible theory of qualitative differences. (shrink)

This paper presents an attempt to solve Laura Valentini’s ideal theory paradox, in a way which makes me think of G.E. Moore but I shall leave the classification of the solution to the experts. I also discuss the claim that philosophy is so easy.

J.G. Frazer tells us about a last resort technique which Cambodian hunters use when they have caught nothing in their nets. The “technique” is they act as if they themselves have got caught in the net. Frazer explains this as the consequence of magical thinking, but I propose a different explanation.

I propose a solution to a problem raised by E.G. West’s paper “Adam Smith’s Two Views on the Division of Labour.” Smith seems committed to the views that the division of labour makes people more and less intelligent.

I compare Rosamond’s relationship with her husband in Middlemarch with Rosamond’s marital relationship in L.A.G. Strong’s short story “The Seal.” I interpret the latter fiction as addressing the unpleasant question: what sort of decent man can suppress Rosamond?

This paper presents a more holistic variety of liberalism than the Rawlsian kind, which involves judging that various things are not properly liberal, things which the Rawlsian would seek to avoid conflict with, e.g. “This is not liberal poetry,” “This is not liberal computer programming.” Such judgments seem to be based on an emotional, or aesthetic, sense of coherence.

This is a one page handout, presenting a puzzle from J.G. Frazer regarding why, to become the priest of Diana at Nemi, one had to first break a bough in the sacred grove.

In lieu of an abstract, here is a brief excerpt of the content:Comments on “Moral Complicity in Induced Pluripotent Stem Cell Research”W. Malcolm Byrnes, Ph.D. and Edward J. FurtonIn his article titled “Moral Complicity in Induced Pluripotent Stem Cell Research,” Mark T. Brown (2009) unfortunately mischaracterizes my ethical analysis of the use of induced pluripotent stem (iPS) cells for replacement therapies, or treatments (Byrnes 2008). In my paper, which Brown cites, I argue that, just as it is ethically acceptable for (...) parents to allow their children and themselves to be immunized using vaccines produced by cell lines derived from human fetuses aborted in the past, it is also acceptable for persons in the future to benefit from treatments that use iPS cells validated using human embryonic stem (ES) cell lines [End Page 202] derived in the past. The assumption I make is that iPS cells would have to be shown to be functionally equivalent to human ES cells—i.e., validated—before they could be used for cell replacement treatments. (If it turns out that this assumption is incorrect, and primate or even mouse ES cells can be used for the validation, then all residual ethical problems will disappear and there will be no ethical problems whatsoever associated with iPS cells.) I wrote:... [I]n both cases, the origin of the treatment is in a one-time event: either the one-time use of aborted fetuses to obtain cell lines (e.g., MRC-5 and WI- 38) to grow weakened virus strains for vaccine production, or the one-time destruction of human embryos to validate iPS cells, which then effectively replace embryonic stem cells. In the latter case, if no additional embryonic stem cell lines are derived, then derivation of the existing lines could be considered a “one-time” event in the past, albeit an event that extended over a several-year period(Byrnes 2008, p. 287, emphasis added).Note the phrase “if no additional embryonic stem cell lines are derived.” The derivation of ES cell lines inherently involves destruction of embryos; indeed, that is why many people, including me, are opposed to human ES cell research. In my article, I am arguing that, if no additional ES cell lines are derived, then no additional human embryos will be destroyed, and the destruction of human embryos will lie in the past. In this case, embryo destruction could be considered a past event, just as the abortion of a human fetus from which vaccine-producing cell lines were derived is a past, albeit tragic, event.In the process of building his argument that proponents of iPS cell research are morally complicit in embryo destruction, Brown (2009, p. 15) casts me as being in favor of the “derivation of new embryonic stem [cell lines].” This is the exact opposite of my position. In fact, I am opposed to further destruction of human embryos. I believe that the hundreds of ES cell lines already in existence are more than sufficient to validate iPS cells and so no additional lines need to be derived. This means that no additional human embryos will need to be destroyed.Apparently based on the misperception that I support future destruction of human embryos, Brown concludes that “Byrnes’s endorsement of ongoing iPSC validation studies would seem to implicate him and those who follow his lead in formal and material complicity in what they perceive as moral evil” (p. 16). He writes that “explicit formal complicity would attach because he [Byrnes] knowingly and intentionally recommends that embryos be killed in order to facilitate a transition to a future in which no more embryos need be destroyed” (p. 16). Additionally, my “followers” and I would be guilty of “proximate material complicity” as well as “remote material complicity” (p. 16). Unfortunately, this broad condemnation is based on a misconception of my actual position.An additional problem involves Brown’s use of a quotation he attributes to me: [End Page 203]Once embryonic stem cells are used to successfully validate iPS cells, they will no longer be needed and their association with iPS cells will lie in the past. Is there not an element of sadness and resignation in accepting something (iPS cells) associated with an unjust act (destruction of an... (shrink)

This book is a collection of articles dealing with criticisms of Robert S. Hartman’s theory of formal axiology. During his lifetime, Hartman wrote responses to many of his critics. Some of these were previously published but many are published here for the first time. In particular, published here are Hartman’s replies to such critics as Hector Neri Castañeda, Charles Hartshorne, Rem B. Edwards, Robert E. Carter, G. R. Grice, Nicholas Rescher, Robert W. Mueller, Gordon Welty, Pete Gunter, George Kimball (...) Plochmann, William Eckhardt, and Robert S. Brumbaugh. Crticial essays and responses to them developed by Rem B. Edwards, Frank G. Forrest, and Mark A. Moore after Hartman’s untimely death in 1973 are also included. (shrink)

One of the more obscure arguments for Rawls’ difference principle dubbed ‘the Pareto argument for inequality’ has been criticised by G. A. Cohen (1995, 2008) as being inconsistent. In this paper, we examine and clarify the Pareto argument in detail and argue (1) that justification for the Pareto principles derives from rational selfinterest and thus the Pareto principles ought to be understood as conditions of individual rationality, (2) that the Pareto argument is not inconsistent, contra Cohen, and (3) that the (...) kind of bargaining model required to arrive at the particular unequal distribution that the difference principle picks out is a model that is not based on bargaining according to one’s threat advantage. (shrink)

Wittgenstein’s writings and lectures during the first half of the 1930s play a crucial role in any interpretation of the relationship between the Tractatus and the Philosophical Investigations . G. E. Moore’s notes of Wittgenstein’s Cambridge lectures, 1930-1933, offer us a remarkably careful and conscientious record of what Wittgenstein said at the time, and are much more detailed and reliable than previously published notes from those lectures. The co-authors are currently editing these notes of Wittgenstein’s lectures for a book to (...) be published by Cambridge University Press. We describe the materials that make up Moore’s notes, explain their unique value, review the principal editorial challenges that these materials present, and provide a brief outline of our editorial project. (shrink)

This book presents Robert S. Hartman's formal theory of value and critically examines many other twentieth century value theorists in its light, including A.J. Ayer, Kurt Baier, Brand Blanshard, Paul Edwards, Albert Einstein, William K. Frankena, R.M. Hare, Nicolai Hartmann, Martin Heidegger, G.E. Moore, P.H. Nowell-Smith, Jose Ortega y Gasset, Charles Stevenson, Paul W. Taylor, Stephen E. Toulmin, and J.O. Urmson. Open Access funding for this volume has been provided by the Robert S. Hartman Institute.

Timelines is an inquiry into the nature of time, both as an apparent feature of the external physical world and as a fundamental feature of our experience of ourselves in the world. The principal argument of Timelines is that our coventional ideas about time are largely mistaken and that what we think of as independent physical time is actually our calibration of a certain relation between events. Namely, the relation between time-keeping events and the causal sequential differences of physical processes (...) which are real and independent of us. (shrink)

The last decade has seen an increasing number of references to quantum mechanics in the humanities and social sciences. This development has in particular been driven by Karen Barad’s agential realism: a theoretical framework that, based on Niels Bohr’s interpretation of quantum mechanics, aims to inform social theorizing. In dealing with notions such as agency, power, and embodiment as well as the relation between the material and the discursive level, the influence of agential realism in fields such as feminist science (...) studies and posthumanism has been profound. However, no one has hitherto paused to assess agential realism’s proclaimed quantum mechanical origin including its relation to the writings of Niels Bohr. This is the task taken up here. We find that many of the implications that agential realism allegedly derives from a Bohrian interpretation of quantum mechanics dissent from Bohr’s own views and are in conflict with those of other interpretations of quantum mechanics. Agential realism is at best consistent with quantum mechanics and consequently, it does not capture what quantum mechanics in any strict sense implies for social science or any other domain of inquiry. Agential realism may be interesting and thought provoking from the perspective of social theorizing, but it is neither sanctioned by quantum mechanics nor by Bohr’s authority. This conclusion not only holds for agential realism in particular, it also serves as a general warning against the other attempts to use quantum mechanics in social theorizing. (shrink)

[The version of this paper published by Oxford online in 2019 was not copy-edited and has some sense-obscuring typos. I have posted a corrected (but not the final published) version on this site. The version published in print in 2020 has these corrections.] Which is more fundamental, assertion or testimony? Should we understand assertion as basic, treating testimony as what you get when you add an interpersonal addressee? Or should we understand testimony as basic, treating mere assertion -- assertion without (...) testimony -- as what you get when you subtract that interpersonal relation? In this chapter, I’ll argue for the subtractive approach and for the more general thesis that its treatment of the interpersonal element in assertion makes understanding that interpersonal element the key to understanding how assertion expresses belief. My theory of belief-expression in assertion treats it as internalizing the transmission of belief in testimony. How we understand that internalizing move depends on how we conceptualize the interpersonal element in testimony. Since what I’ll call the Command Model does not give us the conceptual resources to make this move, we should adopt an alternative that I’ll call the Custodial Model, on which a testifier aims not to convince her addressee but to reason with him – to give him reasons to believe what she tells him grounded in her trustworthiness in thus attempting to influence him. The subtractive approach to assertion thus rests on a key distinction between the aims of reasoning and persuasion. (shrink)

Although it makes some progress, McKay & Dennett's (M&D's) proposal is limited because (1) the argument for adaptive misbelief is not new, (2) arguments overextend the evidence provided, and (3) the alleged sufficient conditions are not as prohibitive as suggested. We offer alternative perspectives and evidence, including individual differences research, indicating that adaptive misbeliefs are likely much more widespread than implied.

Plotinus’ famous treatise against the Gnostics (33), together with contemporary and thematically related treatises on Intelligible Beauty (31), on Number (34), and on Free Will and the Will of the One (39), can be seen as providing the essential components of a Plotinian defense of polytheism against conceptual moves that, while associated for him primarily with Gnostic sectarians overlapping with Platonic philosophical circles, will become typical of monotheism in its era of hegemony. When Plotinus’ Gnostics ‘contract’ divinity into a single (...) God, they not only devalue the cosmos for its multiplicity and diversity, but also multiply intelligible principles unreasonably. This is because they have foreclosed the distinction, which is to become increasingly explicit in the later antique Platonists, between the intelligible and that which is given existentially, the domain belonging to Plotinus’ indeterminate multiplicity of ‘intelligible Gods’, as opposed to the dialectically determinate number of intelligible principles. Plotinus is prescient in recognizing that incipient monotheism threatens to erase the distinction between philosophy and theology, and between both of these and psychology, the final outcome of which can only be solipsism or nihilism. The defense of polytheism is seen in this fashion to be essential to the preservation of the space for philosophical discourse. (shrink)

In the paper, certain rational postulates for protocols describing real communicating are introduced.These rational postulates, on the one hand, allow assigning a certain typology of real systems of interactions, which is consistent with the reality of epistemic argumentation in systems of communicating, and on the other one – defining rules of using argumentation in real situations. Moreover, the presented postulates for protocols characterize information networks and administering knowledge in real interactivity systems. Due to the epistemic character of the considerations, the (...) problem undertaken in the paper concerns working out fundamental assumptions that refer to building of epistemic logics. They allow establishing the correctness of the discourse defined by rational postulates of protocols of real communication. In the context of the presented problem there are the following two research questions distinguished: 1) How do we determine the rule of building of real dynamic epistemic logics? and 2) How should we define semantics for these logics? Within the framework of considerations relating to the research questions asked, certain epistemic operators, relativized to types of communicating, are introduced. Basic logical relations between using these operators are established for these operators. The relations are presented by a diagram called the square of epis temic operators. On the basis of these logical relations some axioms for real dynamic epistemic logics are presented. The semantics of real dynamic epistem ic logics is extended by the methods of lower and upper approximation of formula evaluating. This allows defining ‘approximation Kripke models’. The results of conceptualization of knowledge on real premises of epistemic argum entation presented in this paper can be applied to rhetoric in real systems of interaction. (shrink)

In this reading of the Euthyphro, Socrates and Euthyphro are seen less in a primordial conflict between reason and devotion, than as sincere Hellenic polytheists engaged in an inquiry based upon a common intuition that, in addition to the irreducible agency of the Gods, there is also some irreducible intelligible content to holiness. This reading is supported by the fact that Euthyphro does not claim the authority of revelation for his decision to prosecute his father, but rather submits it to (...) elenchus, and that Euthyphro does not embrace the ‘solution’ of theological voluntarism when Socrates explicitly offers it. Since the goal of this inquiry is neither to eliminate the noetic content of the holy, nor to eliminate the Gods’ agency, the purpose of the elenchus becomes the effort to articulate the results of this productive tension between the Gods and the intelligible on the several planes of Being implied by each conception of the holy which is successively taken up and dialectically overturned to yield the conception appropriate to the next higher plane, a style of interpretation characteristic of the ancient Neoplatonists. (shrink)

In a world befuddled by the concept of ‘fake news’, where words like ‘post-truth’ are common parlance, it is essential that we consider exactly what we think we know, what we do not and how we come to acquire such knowledge. The analysis of truth should come from an unbiased perspective and be critical of the various shibboleths that we take to heart. Appearance and Inference aims to identify the nonsense in as many knowledge-related platitudes or false assumptions as possible (...) in just over a hundred pages. Intentionally short and aphoristic, Appearance and Inference will undoubtedly provoke debate, whether or not its readers have previously considered the nature of knowledge. It is also expected to excite its academically astute readers to develop some of the analyses further. It aims to encourage the reader to think through a number of difficult matters and to exercise their own judgment, instead of supplying answers in a pre-packaged form. Inspired by the aphoristic philosophical style of philosophers such as Wittgenstein and Nietzsche, this is a book on the theory of knowledge, written by a philosopher who has had the benefit of a scientific and forensic training. It is designed for both the professional philosopher and the general reader. (shrink)

The essay explores the systematic relationship in the work of Giordano Bruno (1548-1600) between his monadology, his metaphysics as presented in works such as De la causa, principio et uno, the mythopoeic cosmology of Lo spaccio de la bestia trionfante, and practical works like De vinculis in genere. Bruno subverts the conceptual regime of the Aristotelian substantial forms and its accompanying cosmology with a metaphysics of individuality that privileges individual unity (singularity) over formal unity and particulars over substantial forms without (...) sacrificing a metaphysical perspective on the cosmos. The particular is individuated as a unique site of desire, continually transforming but able to entrain itself and others through phantasmatic ‘bonding’, the new source of regularity in Bruno’s polycentric universe. Bruno thus tries to do justice to the demands of intelligibility as well as transformative eros. The essay concludes with a note on Bruno’s geometry as it relates to his general conception of form. (shrink)

Many philosophers consider explanation to be objective such that facts explain facts independently of human beings. This paper rejects such an ontological view and argues in favor of an epistemic view, named the pragmatic-rhetorical view, according to which explanations depend on our knowledge and are grounded in the public or scientific discourse.

Continuing the systematic henadological interpretation of Proclus' Platonic Theology begun in "The Intelligible Gods in the Platonic Theology of Proclus" (Methexis 21, 2008, pp. 131-143), the present article treats of the basic characteristics of intelligible-intellective (or noetico-noeric) multiplicity and its roots in henadic individuality. Intelligible-intellective multiplicity (the hypostasis of Life) is at once a universal organization of Being in its own right, and also transitional between the polycentric henadic manifold, in which each individual is immediately productive of absolute Being, and (...) the formal intellective organization, which is monocentrically and diacritically disposed. Intelligible-intellective multiplicity is generated from the dyadic relationship of henads to their power(s), the phase of henadic individuality expressed in the second intelligible triad, and is mediated, unlike the polycentric manifold, but not by identity and difference, like the intellective organization. Instead, the hypostasis of Life is constituted by ideal motility and spatiality, figural dispositions, and the intersubjective relations depicted in the divine symposium of Plato's Phaedrus. (shrink)

According to the iterative conception of set, each set is a collection of sets formed prior to it. The notion of priority here plays an essential role in explanations of why contradiction-inducing sets, such as the Russell set, do not exist. Consequently, these explanations are successful only to the extent that a satisfactory priority relation is made out. I argue that attempts to do this have fallen short: understanding priority in a straightforwardly constructivist sense threatens the coherence of the empty (...) set and raises serious epistemological concerns; but the leading realist interpretations---ontological and modal interpretations of priority---are deeply problematic as well. I conclude that the purported explanatory virtues of the iterative conception are, at present, unfounded. (shrink)

Completing the systematic henadological interpretation of Proclus' Platonic Theology begun in "The Intelligible Gods in the Platonic Theology of Proclus" (Méthexis 21, 2008, pp. 131-143) and "The Second Intelligible Triad and the Intelligible-Intellective Gods" (Methexis 23, 2010, pp. 137-157), the present article concerns the conditions of the emergence of fully mediated, diacritical multiplicity out of the polycentric henadic manifold. The product of the activity of the intellective Gods (that is, the product of the intellective activity of Gods as such), in (...) resolving the contradiction between existential uniqueness and universalizable potencies in the divine natures, also grounds the human exercise of phi- losophical cognition in the founding self-analysis of divine individuals. (shrink)

This is a sketch of the basis and role of consciousness and the minimally required elements and constraints of any setting that may produce consciousness. It proposes that consciousness (as we know it) is a biologically-mediated product of evolved recursive and hierarchically nested representational systems that obey information theoretic principles and Bayesian (probabilistic) feedback and feedforward predictive modeling processes.