Alexander of Aphrodisias picks up Aristotle’s insufficient treatment of simultaneous perception and develops an adequate solution for the problem, thereby offering an account of the unity of perceptual consciousness—the single mental activity of a single subject with complex content. I show the adequacy of the solution by using as criteria the requirements that have been identified by Aristotle and approved (and explained) by Alexander. I analyze Alexander’s solution in two turns. First, with respect to heterogeneous perceptibles, (...) class='Hi'>Alexander adopts and reformulates Aristotle’s metaphorical account invoking the analogy with a point. Second, with respect to homogeneous opposites, accordingly, perception is judgement, but it involves physical changes in diverse parts of the primary sense-organ. By this account Alexander resolves the issue of the unity of the subject on the level of the capacity of the soul, and coordinates the complexity of content with the complexity on the physical level. In addition to being adequate, the solution is faithful to Aristotle. I suggest that the interpretative decisions Alexander makes (the clarification of the analogy; the reference he finds to the analogy; the two components of the solution, judgement and parts of the organ) form an ingenious extension of Aristotle’s treatment. Interestingly, even though many elements in Alexander’s interpretation are taken up by modern commentators, no one has followed it in its entirety, nor even treated it in its own right. (shrink)

ABSTRACT: Alexander of Aphrodisias’ commentaries on Aristotle’s Organon are valuable sources for both Stoic and early Peripatetic logic, and have often been used as such – in particular for early Peripatetic hypothetical syllogistic and Stoic propositional logic. By contrast, this paper explores the role Alexander himself played in the development and transmission of those theories. There are three areas in particular where he seems to have made a difference: First, he drew a connection between certain passages from Aristotle’s (...) Topics and Prior Analytics and the Stoic indemonstrable arguments, and, based on this connection, appropriated at least four kinds of Stoic indemonstrables as Aristotelian. Second, he developed and made use of a specifically Peripatetic terminology in which to describe and discuss those arguments – which facilitated the integration of the indemonstrables into Peripatetic logic. Third, he made some progress towards a solution to the problem of what place and interpretation the Stoic third indemonstrables should be given in a Peripatetic and Platonist setting. Overall, the picture emerges that Alexander persistently (if not always consistently) presented passages from Aristotle’s logical œuvre in a light that makes it appear as if Aristotle was in the possession of a Peripatetic correlate to the Stoic theory of indemonstrables. (shrink)

The first English translation of the commentary of Alexander of Aphrodisias on Aristotle's De Sensu.With notes.

SUMMARY. The works of Alexander of Aphrodisias were written a few decades after the publication of the most successful -astrology hand- book in antiquity, Ptolemy's Tetrabiblos Syntaxis, which attempts to naturalize astrology, i.e. to make it agree with Aristotelian theory of science. A comparison of the doctrines between the Tetrabiblos and some passages of Alexander'p works on fate demostrates a noteworthy con¬vergere of the two scholars, and probably a dependence of the lasi great greek Aristotle's exegete on the (...) theories of Ptolemaic astrology, at least in reference to three points: theory of fate; justification of de- vining as a technical and naturai conjecture about man's fate; ana¬lysis of the stars' influence on the sublunary world in physical and phi¬losophical terms. (shrink)

In this article I argue for the thesis that Alexander's main argument, in Ethical Problems I, is an attempt to block the implication drawn by the Stoics and other ancient philosophers from the double potential of use exhibited by human life, a life that can be either well or badly lived. Alexander wants to resist the thought that this double potential of use allows the Stoics to infer that human life, in itself, or by its own nature, (...) is neither good nor bad. Furthermore, I shall argue that Alexander's main argument establishes that human life, despite exhibiting a double potential of use, is by its own nature or intrinsically good. Finally, given that this is not a conclusion that the Stoics are likely to accept, I shall also contend that the argument should be regarded as conducted for the most part in foro interno, as a way of persuading the Peripatetics themselves of the falsity of the Indifference Implication, precisely because of the risk that such an implication be derived from their own theoretical framework. (shrink)

This volume focuses on philosophical problems concerning sense perception in the history of philosophy. It consists of thirteen essays that analyse the philosophical tradition originating in Aristotle’s writings. Each essay tackles a particular problem that tests the limits of Aristotle’s theory of perception and develops it in new directions. The problems discussed range from simultaneous perception to causality in perception, from the representational nature of sense-objects to the role of conscious attention, and from the physical/mental divide to perception as quasi-rational (...) judgement. -/- The volume gives an equal footing to Greek, Arabic, and Latin philosophical traditions. It makes a substantial contribution not just to the study of the Aristotelian analysis of sense perception, but to its reception in the commentary tradition and beyond. Thus, the papers address developments in Alexander of Aphrodisias, Themistius, Avicenna, John of Jandun, Nicole Oresme, and Sayf al-Din al-Amidi, among others. The result of this is a coherent collection that attacks a well-defined topic from a wide range of perspectives and across philosophical traditions. (shrink)

To study the influence of divinity on cosmos, Alexander uses the notions of ‘fate’ and ‘providence,’ which were common in the philosophy of his time. In this way, he provides an Aristotelian interpretation of the problems related to such concepts. In the context of this discussion, he offers a description of ‘nature’ different from the one that he usually regards as the standard Aristotelian notion of nature, i.e. the intrinsic principle of motion and rest. The new coined concept is (...) a ‘cosmic’ nature that can be identified with both ‘fate’ and ‘divine power,’ which are the immediate effect of providence upon the world. In the paper it is exposed how the conception of providence defended by Alexander means a rejection of the divine care of the particulars, since the divinities are only provident for species. Several texts belonging to the Middle Platonic philosophers will convince us that such thinkers (and not directly Aristotle) are the origin of the thesis that will be understood as the conventional Aristotelian position, namely that divinity only orders species but not individuals. (shrink)

The philosophical problem of universals is traditionally framed as the problem about the ontological status of universals. It is often said that the ontological status of universals is a post-Aristotelian problem that was bequeathed to the Middle Ages by a famous sentence in Porphyry's Isagoge. 1 Porphyry raises but then refuses to answer three questions about the ontological status of genera and species, saying that they are too "deep" for the present investigation. 2 Although Porphyry is the first to announce (...) the problem, it was Boethius's commentary on Porphyry, rather than the Isagoge itself, that made this sentence famous and that is therefore responsible for the problem of universals in .. (shrink)

In his early metaphysics, Leibniz interprets the results of Santorio’s quantitative methods as supporting the possibility of the natural immortality of human beings. A closer look into Santorio’s more theoretically oriented medical writings reveals that he vehemently rejected the idea of natural immortality. Still, it may be interesting to ask what the theoretical differences between the natural philosophies of Santorio and the early Leibniz are that could explain their diverging attitudes toward the possibility of natural immortality. I will argue for (...) two claims: (1) Santorio but not the early Leibniz, makes use of emergentist ideas along lines developed by Alexander of Aphrodisias and Galen. (2) The early Leibniz, but not Santorio, uses the concept of emanative causation to characterize the relation between the soul and its potencies. (shrink)

One of the main philosophical works by Alexander of Aphrodisias, De principiis, is lost in its original Greek text, but it is preserved in three extant Medieval Semitic versions, one in Syriac and two in Arabic, which were written in the Near East between 500 and 950 AD. These versions are not totally identical and, as we have shown in 2012, they are in a rather complex textual relationship. As we will show in this article, a tentative reconstruction of (...) the lost text should be based upon an attentive and point‑to‑point comparative analysis of some aspect of all three versions. We have tentatively called the abore way “critical translation”. (shrink)

The view that living beings as well as plant-based medicaments possess causal properties that are caused by the causal properties of their constituents, without being reducible to the combination of the causal properties of these constituents goes back to ancient thinkers such as Alexander of Aphrodisias and Johannes Philoponus. In the early modern period, this view was not only criticized by natural philosophers taking a reductionist stance; it was also criticized by Neo-Platonic thinkers such as Jean Fernel. One (...) of the relatively few early modern natural philosophers who adopted an emergentist position was Jacob Schegk. The present article discusses whether Schegk’s analysis of the structure of plants and medicaments offers the theoretical resources required to answer Fernel’s critique of the tradition going back to Alexander. In particular, it examines whether Schegk’s account of synchronic upward causation and diachronic downward causation could offer solutions to two interrelated problems identified by Fernel: the question of whether a mere aggregates of material particles could form a composite that possesses substantiality, not only accidental unity; and the question of whether multitudes of material particles could bring forth simple forms, whose existence seems to be presupposed by powers that cannot be ascribed to the constituents. (shrink)

ABSTRACT: This paper traces the earliest development of the most basic principle of deduction, i.e. modus ponens (or Law of Detachment). ‘Aristotelian logic’, as it was taught from late antiquity until the 20th century, commonly included a short presentation of the argument forms modus (ponendo) ponens, modus (tollendo) tollens, modus ponendo tollens, and modus tollendo ponens. In late antiquity, arguments of these forms were generally classified as ‘hypothetical syllogisms’. However, Aristotle did not discuss such arguments, nor did he call any (...) arguments ‘hypothetical syllogisms’. The Stoic indemonstrables resemble the modus ponens/tollens arguments. But the Stoics never called them ‘hypothetical syllogisms’; nor did they describe them as ponendo ponens, etc. The tradition of the four argument forms and the classification of the arguments as hypothetical syllogisms hence need some explaining. In this paper, I offer some explanations by tracing the development of certain elements of Aristotle’s logic via the early Peripatetics to the logic of later antiquity. I consider the questions: How did the four argument forms arise? Why were there four of them? Why were arguments of these forms called ‘hypothetical syllogisms’? On what grounds were they considered valid? I argue that such arguments were neither part of Aristotle’s dialectic, nor simply the result of an adoption of elements of Stoic logic, but the outcome of a long, gradual development that begins with Aristotle’s logic as preserved in his Topics and Prior Analytics; and that, as a result, we have a Peripatetic logic of hypothetical inferences which is a far cry both from Stoic logic and from classical propositional logic, but which sports a number of interesting characteristics, some of which bear a cunning resemblance to some 20th century theories. (shrink)

A new translation and edition of Aristotle's Protrepticus (with critical comments on the fragments) -/- Welcome -/- The Protrepticus was an early work of Aristotle, written while he was still a member of Plato's Academy, but it soon became one of the most famous works in the whole history of philosophy. Unfortunately it was not directly copied in the middle ages and so did not survive in its own manuscript tradition. But substantial fragments of it have been preserved in several (...) works by Iamblichus of Chalcis, a third century A.D. neo-Pythagorean philosopher and educator. On the basis of a close study of Iamblichus' extensive use and excerption of Aristotle's Protrepticus, it is possible to reconstruct the backbone of the lost work, and then to flesh it out with the other surviving reports about the work from antiquity (for example in Alexander of Aphrodisias and other ancient commentators on Aristotle). It is also possible to identify several papyrus fragments of the work, and many references and literary allusions in later authors, especially Cicero, whose own lost dialogue Hortensius was a defense of philosophy modeleld on Aristotle's. (shrink)

Athenaeus of Attalia distinguishes two types of exercise or training (γυμνασία) that are required at each stage of life: training of the body and training of the soul. He says that training of the body includes activities like physical exercises, eating, drinking, bathing and sleep. Training of the soul, on the other hand, consists of thinking, education, and emotional regulation (in other words, 'philosophy'). The notion of 'training of the soul' and the contrast between 'bodily' and 'psychic' exercise is common (...) in the Academic and Stoic traditions Athenaeus is drawing from; however, he is the earliest extant medical author to distinguish these kinds of training and to treat them as equally important aspects of regimen. In this paper, I propose some reasons why he found this distinction useful, and I examine how he justified incorporating it into his writings on regimen, namely by attributing Plato's beliefs about regimen to Hippocrates, a strategy Galen would adopt well over a century later. (shrink)

I endorse a 12-word metaphysics. [1] Stoff ist Kraft ≈ being is energy. [2] Wesen ist Werden ≈ being is becoming. [3] Sein ist Sosein ≈ being is qualit[ativit]y. [4] Ansichsein ist Fürsichsein ≈ being is mind. [1]–[3] are plausible metaphysical principles and unprejudiced consideration of what we know about concrete reality obliges us to favor [4], i.e. panpsychism or panexperientialism, above all other positive substantive proposals. For [i] panpsychism is the most ontologically parsimonious view, given that the existence of (...) conscious experience is certain and that panpsychism doesn’t posit the existence of any kind of stuff other than conscious experience. [ii] A question also arises about why metaphysicians have posited the existence of something for which there is zero evidence: non-experiential concrete reality. The question is the more pressing because of the silence of physics: physics with its numbers and equations is perfectly silent on the question of the intrinsic non-structural nature of reality. (shrink)

People attribute resistance to bodies in Spinoza's physics. It's not always clear what they mean when they do this, or whether they are entitled to. This article clarifies what it would mean, and examines the evidence for attributing resistance. The verdict: there's some evidence, but not nearly as much as people think.

ABSTRACT: One-page entry on freedom in the philosophical (as opposed to political) sense in antiquity, noting (among other things) that a notion of freedom of choice that requires that the person not be causally predetermined in his/her actions is developed only in the 1st-3rd cents. CE in Alexander of Aphrodisias, building on elements of Aristotelian ethics and logic, Stoic psychology and perhaps Christian and Middle Platonic influences. Both German version (1998) and English translation (2011).

Special and General theories of relativity may be considered as the most significant examples of integrative thinking. From these works we see that Albert Einstein attached great importance to how we understand geometry and dimensions. It is shown that physics powered by the new multidimensional elastic geometry is a reliable basis for science integration. Instead of searching for braneworlds (elastic membranes - EM) in higher dimensions we will start by searching them in our 3+1 dimensional world. The cornerstone of (...) the new philosophy is an idea that lower dimensional EMs are an essential component of the living matter, they are responsible for our perceptions, intellect, pattern recognition and high speed signal propagation. According to this theory each EM has both physical and perceptive (psychological) meanings: it exists as our Universe-like physical reality for its inner objects and at the same time it plays perceptive (psychological) role in the external bulk space-time. This philosophy may help us to build up a science which explains not only inanimate, unconscious phenomena, but consciousness as well. (shrink)

This paper looks at the causal activity of the unmoved mover of Aristotle. The author affirms both the efficient causality of God and his teleological role. He thinks that the principal character, by describing God, is ‘thinking on thinking’. That means his most important factor to act cannot only ‘be aimed’ but must also ‘be thought’. There are many new texts to defend such as an efficient causal interpretation and also various philosophical arguments to support final causality.

The paper takes up Bell's “Everett theory” and develops it further. The resulting theory is about the system of all particles in the universe, each located in ordinary, 3-dimensional space. This many-particle system as a whole performs random jumps through 3N-dimensional configuration space – hence “Tychistic Bohmian Mechanics”. The distribution of its spontaneous localisations in configuration space is given by the Born Rule probability measure for the universal wavefunction. Contra Bell, the theory is argued to satisfy the minimal desiderata for (...) a Bohmian theory within the Primitive Ontology framework. TBM's formalism is that of ordinary Bohmian Mechanics, without the postulate of continuous particle trajectories and their deterministic dynamics. This “rump formalism” receives, however, a different interpretation. We defend TBM as an empirically adequate and coherent quantum theory. Objections voiced by Bell and Maudlin are rebutted. The “for all practical purposes”-classical, Everettian worlds exist sequentially in TBM. In a temporally coarse-grained sense, they quasi-persist. By contrast, the individual particles themselves cease to persist. (shrink)

In his commentary on Aristotle's Metaphysics, Alexander of Aphrodisias quotes from Aristotle's now-lost work On the Ideas -- his account of the arguments offered by Plato for the theory of Forms and his criticisms of those arguments. This paper considers one of these arguments, the Argument from Relatives (ta pros ti). It considers how Plato argued for Forms or Ideas such as the Large Itself, the Just Itself and so on and whether Plato supposed that there were Forms corresponding (...) to sortal terms like Man. (shrink)

Our understanding of body–world relations is caught in a curious contradiction. On one side, it is well established that many concepts that describe interaction with the outer world – ‘plasticity’ or ‘metabolism’- or external influences on the body - ‘environment’ or ‘milieu’ – appeared with the rise of modern science. On the other side, although premodern science lacked a unifying term for it, an anxious attentiveness to the power of ‘environmental factors’ in shaping physical and moral traits held sway in (...) nearly all medical systems before and alongside modern Europe. In this article, I build on a new historiography on the policing of bodies and environments in medieval times and at the urban scale to problematize Foucault’s claim about biopolitics as a modern phenomenon born in the European eighteenth-century. I look in particular at the collective usage of ancient medicine and manipulation of the milieu based on humoralist notions of corporeal permeability (Hippocrates, Galen, Ibn Sīnā) in the Islamicate and Latin Christendom between the 12th and the 15th century. This longer history has implications also for a richer genealogy of contemporary tropes of plasticity, permeability and environmental determinism beyond usual genealogies that take as a starting point the making of the modern body and EuroAmerican biomedicine. (shrink)

Short version of 'Real materialism', given at Tucson III Conference, 1998. (1) physicalism is true (2) the qualitative character of experience is real, as most naively understood ... so (3) the qualitative character of experience (considered specifically as such) is wholly physical. ‘How can consciousness possibly be physical, given what we know about the physical?’ To ask this question is already to have gone wrong. We have no good reason (as Priestley and Russell and others observe) to think that we (...) know anything about the physical that gives us any reason to find any problem in the idea that consciousness is wholly physical. (shrink)

Whether or not quantum physics can account for molecular structure is a matter of considerable controversy. Three of the problems raised in this regard are the problems of molecular structure. We argue that these problems are just special cases of the measurement problem of quantum mechanics: insofar as the measurement problem is solved, the problems of molecular structure are resolved as well. In addition, we explore one consequence of our argument: that claims about the reduction or emergence of molecular (...) structure cannot be settled independently of the choice of a particular resolution to the measurement problem. Specifically, we consider how three standard putative solutions to the measurement problem inform our under- standing of a molecule in isolation, as well as of chemistry’s relation to quantum physics. (shrink)

Plato’s partition argument infers that the soul has parts from the fact that the soul experiences mental conflict. We consider an ambiguity in the concept of mental conflict. According to the first sense of conflict, a soul is in conflict when it has desires whose satisfaction is logically incompatible. According to the second sense of conflict, a soul is in conflict when it has desires which are logically incompatible even when they are unsatisfied. This raises a dilemma: if the mental (...) conflict is supposed to be the latter kind of conflict, then the partition argument is valid but is likely unsound; if it’s supposed to be the former kind, then the partition argument has true premises but is invalid. We explain this dilemma in detail and defend a dispositionalist solution to it. (shrink)

It is commonly claimed that the universality of critical phenomena is explained through particular applications of the renormalization group. This article has three aims: to clarify the structure of the explanation of universality, to discuss the physics of such RG explanations, and to examine the extent to which universality is thus explained. The derivation of critical exponents proceeds via a real-space or a field-theoretic approach to the RG. Building on work by Mainwood, this article argues that these approaches ought (...) to be distinguished: while the field-theoretic approach explains universality, the real-space approach fails to provide an adequate explanation. (shrink)

Recent discussions of emergence in physics have focussed on the use of limiting relations, and often particularly on singular or asymptotic limits. We discuss a putative example of emergence that does not fit into this narrative: the case of phonons. These quasi-particles have some claim to be emergent, not least because the way in which they relate to the underlying crystal is almost precisely analogous to the way in which quantum particles relate to the underlying quantum field theory. But (...) there is no need to take a limit when moving from a crystal lattice based description to the phonon description. Not only does this demonstrate that we can have emergence without limits, but also provides a way of understanding cases that do involve limits. (shrink)

In the article, with the help of various models, the thesis on the fundamental nature of the field form of matter in physics is considered. In the first chapter a model of special relativity is constructed, on the basis of which the priority of the massless form of matter is revealed. In the second chapter, a field model of inert and heavy mass is constructed and on this basis the mechanism of inertia and gravity of weighty bodies is revealed. (...) In the third chapter, the example of geons shows the fundamental nature of a massless form of matter on the Planck scale. The three-dimensionality of the observable space is substantiated. In the fourth chapter, we consider a variant of solving the problem of singularities in general relativity using the example of multidimensional spaces. The last chapter examines the author's approach to quantum gravity. Quantization of the gravitational radius of black holes is predicted. The conclusions do not contradict the main thesis of the article on the fundamental nature of the massless form of matter. We emphasize the qualitative nature of the presentation of the material in the article. (shrink)

This dissertation examines the theory of perceptual cognition laid out by the 7th century Buddhist scholar, Dharmakīrti, in his magnum opus, the Pramāṇavārttika. Like most theories of perception, both ancient and modern, the sensory cognition of ordinary objects is a topic of primary concern. Unlike other theorists, however, Dharmakīrti advances a technical definition of “perception” as a cognition which is both nonconceptual and non-erroneous. Dharmakīrti’s definition of perception is thereby deliberately inclusive of three additional types of “perceptual” cognition, in (...) addition to veridical sensory awareness: the nonconceptual mental apprehension of an immediately-preceding cognition (“mental perception”), the vivid appearance of soteriologically efficacious objects of contemplative practice (“yogic perception”), and the sheer unmediated presence of the contents of cognition—whatever these might be—to the cognizing mind (“reflexive awareness”). Through the logical examination of what it means to be aware of an object, Dharmakīrti demonstrates that the awareness of an object is just the awareness of a phenomenal form or cognitive image produced by that object. Pursuing this analysis further, however, Dharmakīrti argues that the very notion of an object of cognition that exists “externally” or outside the mind is incoherent. Additionally, Dharmakīrti maintains that the phenomenological structure of subject and object—that is, the “first-personal” sense of one’s own cognitions as pertaining to oneself (“for-me-ness”), together with the inseparably concomitant sense that the objects of cognition exist “out there” in an extramental world—is strictly a form of cognitive error. Therefore, because ordinary sensory cognition is inherently structured by this subject-object duality, ordinary sensory cognition must in the final analysis be understood as erroneous. According to Dharmakīrti, in other words, ultimately only the nondual “luminosity” of reflexive awareness is genuinely perceptual, because only reflexive awareness is undistorted by nature. In this way, Dharmakīrti’s epistemology provides a theoretical foundation for the advanced nondual contemplative practices of Indian and Tibetan Buddhism, particularly Mahāmudrā and rDzogs chen. (shrink)

The standard, foundationalist reading of Our Knowledge of the External World requires Russell to have a view of perceptual acquaintance that he demonstrably does not have. Russell’s actual purpose in “constructing” physical bodies out of sense-data is instead to show that psychology and physics are consistent. But how seriously engaged was Russell with actual psychology? I show that OKEW makes some non-trivial assumptions about the character of visual space, and I argue that he drew those assumptions from William James’s (...) Principles. This point helps us take a fresh look at the complex relationship between the two men. In light of this surprising background of agreement, I highlight ways their more general approaches to perception finally diverged in ways that put the two at epistemological odds. (shrink)

Mathematics is everywhere and yet its objects are nowhere. There may be five apples on the table but the number five itself is not to be found in, on, beside or anywhere near the apples. So if not in space and time, where are numbers and other mathematical objects such as perfect circles and functions? And how do we humans discover facts about them, be it Pythagoras’ Theorem or Fermat’s Last Theorem? The metaphysical question of what numbers are and the (...) epistemological question of how we know about them are central to the philosophy of mathematics. These and related philosophical questions are of particular interest because of mathematics’ unusual status. Mathematics is exceptional in that, on the one hand, it appears unhesitatingly true—no one doubts that 2 + 3 = 5—but on the other, as just noted, it is not about the physical world. This ambivalent status is what gives the philosophy of mathematics its special interest. The philosophy of mathematics is also one of the oldest academic fields, more or less coeval with philosophy itself. But contemporary philosophy of mathematics is rather different from its pre-twentieth-century antecedents, largely for three reasons. The first is that since the seventeenth century, mathematics has become integral to science. Science has over the past few centuries become increasingly mathematical, and indeed the fundamental science of nature, physics, is today recognised as a branch of applied mathematics. The second is that mathematics underwent a transformation in the course of nineteenth century: having started the century as a rather traditional-looking science of quantity it emerged a hundred years later a radically transformed abstract theory of structure. The final factor in the transformation of the philosophy of mathematics is the rise of modern logic. Developed by Frege, Cantor and others in the late nineteenth century, modern logic pervades contemporary mathematics, philosophy and computer science, and has had an immeasurable effect on the philosophy of mathematics. These volumes will collect the major works in this major field, with a focus on the last few decades. The anthology will include technical work, which interprets philosophically significant mathematical results or subfields of mathematics, as well as purely philosophical writing, aimed at those without advanced mathematics. The collection should be of interest to both philosophers and mathematicians, as well as to anyone who is susceptible to wondering what the main intellectual tool used in science, economics and finance, and indeed everyday life is ultimately about. (shrink)

Contemporary work on Boethius' Consolation of Philosophy often overlooks a discussion in CP.V.3 of a Peripatetic strategy for dissolving theological fatalism. Boethius’ treatment of this strategy and the lesson it provides about divine foreknowledge requires a reorientation of our understanding of the Consolation text. The result is that it is not foreknowledge nor any other temporally-conditioned knowledge that motivates Boethian concern but divine knowledge simpliciter.

The article describes exotic objects, the geons, which emerge as the result of gravitational attraction among massless energy quanta. It is shown that the formation of geons occurs at the energy Epl = 10^19 GeV and leads to the rise of microscopic black holes of a Planck dimension, Planck mass and two horizon events. It is shown that the formation of Planck geons is energetically more likely in 3-dimensional space than with ``physics" of geons in a space of a (...) different number of dimensions, what, as it appears, determined the 4-dimensional space-time at the very first moments after the ``Big Bang". The problem of singularity in the theory of relativity is discussed. It is shown that, from the mathematical point of view, any space of finite dimensions of any extension can be placed in a dimensionless ``point" of space of the Planck dimensions without the change of density of matter of the Metagalaxy. That theoretically solves the problem of physical singularities of the general theory of relativity. -/- . (shrink)

The model of special relativity is built in the article. Within the framework of the model, formulas of special relativity are obtained and their philosophical and physical meaning is revealed.

Undoubtedly the Penrose-Hameroff Orch OR model may be considered as a good theory for describing information processing mechanisms and holistic phenomena in the human brain, but it doesn’t give us satisfactory explanation of human perception. In this work a new approach explaining our perception is introduced, which is in good agreement with Orch OR model and other mainstream science theories such as string theory, loop quantum gravity and holographic principle. It is shown that human perception cannot be explained in the (...) terms of elementary particles and we should introduce new indivisible holistic objects with geometry based on smooth infinitesimal analysis - elastic membranes. The example of such a membrane is our Universe which is an indivisible whole. It is shown that our perception may be considered as the result of elastic oscillations of two dimensional (2D) elastic membranes with closed topology embedded in our bodies. Only one elastic membrane responsible for its perceptions will correspond to the selected organism, but there may be other membranes, even at the cell level. In other words, reality may be considered as the process of time evolution of holistic energetically very weak macro objects - elastic membranes with the geometry based on smooth infinitesimal analysis. An embedded membrane in this multidimensional world will look different for the external and internal observers: from the outside it will look like a material object with smooth infinitesimal geometry, while from the inside our Universe-like space-time fabric. When interacting with elementary particles and other membranes, a membrane will transform their energy into its elastic energy (a new form of energy) - the energy of stretching of the infinitesimal segments. The theory postulates that these elastic deformations will not be observable from the point of view of the internal observer. Heisenberg’s uncertainty principle will work in this physics only from the point of view of the internal observer. For the external observer each embedded elastic membrane may be stretched and even a very small region will become observable. For example, living organisms play the role of internal observers of the Universe, and at the same time they serve as external observers for 2D membranes embedded into our Universe. We can observe our 2D self-membranes through our perceptions, which are encoded in elastic oscillations of the elastic membrane. According to the theory, elastic membranes occupy energetically favorable positions around microtubules involved into Orch OR. The theory not only gives us a really multidimensional holistic picture of reality, but it also provides us with a new method for understanding such phenomena as perception, self-awareness and will. (shrink)

In discussions of the Aharonov-Bohm effect, Healey and Lyre have attributed reality to loops $\sigma_0$ (or hoops $[\sigma_0]$), since the electromagnetic potential $A$ is currently unmeasurable and can therefore be transformed. I argue that $[A]=[A+d\lambda]_{\lambda}$ and the hoop $[\sigma_0]$ are related by a meaningful duality, so that however one feels about $[A]$ (or any potential $A\in[A]$), it is no worse than $[\sigma_0]$ (or any loop $\sigma_0\in[\sigma_0]$): no ontological firmness is gained by retreating to the loops, which are just as flimsy (...) as the potentials. And one wonders how the unmeasurability of one entity can invest another with physical reality; would an eventual observation of $A$ dissolve $\sigma_0$, consigning it to a realm of incorporeal mathematical abstractions? The reification of loops rests on the potential's ''gauge dependence''; which in turn rests on its unmeasurability; which is too shaky and arbitrary a notion to carry so much weight. (shrink)