Livro-texto de introdução à lógica, com (mais do que) pitadas de filosofia da lógica, produzido como uma versão revista e ampliada do livro Forallx: Calgary. Trata-se da versão de 13 de outubro de 2022. Comentários, críticas, correções e sugestões são muito bem-vindos.

Art, beauty, and the voice of God. And what of beauty?

L'Entente sur les tiers pays sûrs ratifiée par le Canada et les États-Unis en 2002 a transformé la conception de la souveraineté territoriale canadienne, tel qu'en témoigne le traitement accordé aux demandeur-euse-s d'asile ces dernières années. Arguant à l'effet que l'État canadien adopte une conception de la souveraineté territoriale étanche qui permet l'exercice d'un droit de sélection depuis la mise en place de l'ETPS, cet article propose de repenser un devoir politique d'accueil. La première partie de cet article examine la (...) dynamique d'externalisation de la migration à laquelle participe le Canada. La seconde partie propose une analyse du cadre normatif développé par l'ETPS justifié par un droit de « choisir » les réfugié-e-s. La troisième partie propose une critique du modèle d'exclusion à l'oeuvre derrière l'ETPS et propose à cette fin de penser la responsabilité canadienne en tant que devoir politique à l'égard des populations qui demandent l'asile. (shrink)

A theory of cognitive systems individuation is presented and defended. The approach has some affinity with Leonard Talmy's Overlapping Systems Model of Cognitive Organization, and the paper's first section explores aspects of Talmy's view that are shared by the view developed herein. According to the view on offer -- the conditional probability of co-contribution account (CPC) -- a cognitive system is a collection of mechanisms that contribute, in overlapping subsets, to a wide variety of forms of intelligent behavior. Central (...) to this approach is the idea of an integrated system. A formal characterization of integration is laid out in the form of a conditional-probabilitybased measure of the clustering of causal contributors to the production of intelligent behavior. I relate the view to the debate over extended and embodied cognition and respond to objections that have been raised in print by Andy Clark, Colin Klein, and Felipe de Brigard. (shrink)

This paper endeavors to understand the research landscape of finance research in Vietnam during the period 2008 to 2020 and predict the key defining future research directions. Using the comprehensive database of Vietnam’s international publications in social sciences and humanities, we extract a dataset of 314 papers on finance topics in Vietnam from 2008 to 2020. Then, we apply a systematic approach to analyze four important themes: Structural issues, Banking system, Firm issues, and Financial psychology and behavior. Overall, there have (...) been three noticeable trends within finance research in Vietnam: (1) assessment of financial policies or financial regulation, (2) deciphering the correlates of firms’ financial performances, and (3) opportunities and challenges in adopting innovations and ideas from foreign financial market systems. Our analysis identifies several fertile areas for future research, including financial market analysis in the post-COVID-19 eras, fintech, and green finance. (shrink)

Scientists use models to understand the natural world, and it is important not to conflate model and nature. As an illustration, we distinguish three different kinds of populations in studies of ecology and evolution: theoretical, laboratory, and natural populations, exemplified by the work of R.A. Fisher, Thomas Park, and David Lack, respectively. Biologists are rightly concerned with all three types of populations. We examine the interplay between these different kinds of populations, and their pertinent models, in three examples: the notion (...) of “effective” population size, the work of Thomas Park on /Tribolium/ populations, and model-based clustering algorithms such as /Structure/. Finally, we discuss ways to move safely between three distinct population types while avoiding confusing models and reality. (shrink)

Which artificial intelligence (AI) systems are agents? To answer this question, I propose a multidimensional account of agency. According to this account, a system's agency profile is jointly determined by its level of goal-directedness and autonomy as well as is abilities for directly impacting the surrounding world, long-term planning and acting for reasons. Rooted in extant theories of agency, this account enables fine-grained, nuanced comparative characterizations of artificial agency. I show that this account has multiple important virtues and is more (...) informative than alternatives. More speculatively, it may help to illuminate two important emerging questions in AI ethics: 1. Can agency contribute to the moral status of non-human beings, and how? 2. When and why might AI systems exhibit power-seeking behaviour and does this pose an existential risk to humanity? (shrink)

According to an orthodox view, the capacity for conscious experience (sentience) is relevant to the distribution of moral status and value. However, physicalism about consciousness might threaten the normative relevance of sentience. According to the indeterminacy argument, sentience is metaphysically indeterminate while indeterminacy of sentience is incompatible with its normative relevance. According to the introspective argument (by François Kammerer), the unreliability of our conscious introspection undercuts the justification for belief in the normative relevance of consciousness. I defend the normative relevance (...) of sentience against these objections. First, I demonstrate that physicalists only have to concede a limited amount of indeterminacy of sentience. This moderate indeterminacy is in harmony with the role of sentience in determining moral status. Second, I argue that physicalism gives us no reason to expect that introspection is unreliable with respect to the normative relevance of consciousness. (shrink)

Considerable recent research in neurosciences has dealt with the topic of consciousness, even though there is still disagreement about how to identify and classify conscious states. Recent behavioral work on the topic also exists. We survey recent behavioral and neuroscientific literature with the aims of commenting on strengths and weaknesses of the literature and mapping new directions and recommendations for experimental psychologists. We reconcile this literature with a view of human information processing (Cowan, 1988; Cowan et al., 2024) in which (...) a capacity-limited focus of attention is embedded within the activated portion of long-term memory, with dual bottom-up and top-down control of the focus of attention. None of the many extant theories fully captures what we propose as the organization of conscious thought at cognitive and neural levels. It seems clear that information from various cognitive functions, based on signals from various brain areas, is integrated into a conscious whole. In our new proposal, the integration involves funneling information to a hub or focus of attention neurally centered in the parietal lobes and functionally connected to areas representing the currently attended information. This funneling process (bringing information from diverse sensory and frontal sources to contact a small parietal area where attended information is coordinated and combined) may be the converse of global broadcasting, from other proposals (Baars et al., 2021; Baars & Franklin, 2003; Dehaene & Changeux, 2011). The proposed system incorporates many principles from previous research and theorization and strives toward a resolution of the relation between consciousness and attention. Keywords: consciousness, attention, embedded processes model, experimental psychology, neuroscience. (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)

Numerous authors have expressed concern that advanced artificial intelligence (AI) poses an existential risk to humanity. These authors argue that we might build AI which is vastly intellectually superior to humans (a ‘superintelligence’), and which optimizes for goals that strike us as morally bad, or even irrational. Thus, this argument assumes that a superintelligence might have morally bad goals. However, according to some views, a superintelligence necessarily has morally adequate goals. This might be the case either because abilities for moral (...) reasoning and intelligence mutually depend on each other, or because moral realism and moral internalism are true. I argue that the former argument misconstrues the view that intelligence and goals are independent, and that the latter argument misunderstands the implications of moral internalism. Moreover, the current state of AI research provides additional reasons to think that a superintelligence could have bad goals. (shrink)

Which animals have conscious experiences? Many different, diverse and unrelated behaviors and cognitive capacities have been proposed as tests of the presence of consciousness in an animal. It is unclear which of these tests, if any, are valid. To remedy this problem, I develop a list consisting of eight desiderata which can be used to assess putative tests of animal consciousness. These desiderata are based either on detailed analogies between consciousness-linked human behavior and non-human behavior, on theories of consciousness or (...) on methods from human consciousness science. If a test or set of tests satisfies more of these desiderata, passing it provides stronger evidence of consciousness. Moreover, one can design future tests of animal consciousness with the intention of satisfying these desiderata to ensure their evidential strength. (shrink)

When evidence-based policymaking is so often mired in disagreement and controversy, how can we know if the process is meeting its stated goals? We develop a novel mathematical model to study disagreements about adequate knowledge utilization, like those regarding wild horse culling, shark drumlines and facemask policies during pandemics. We find that, when stakeholders disagree, it is frequently impossible to tell whether any party is at fault. We demonstrate the need for a distinctive kind of transparency in evidence-based policymaking, which (...) we call transparency of reasoning. Such transparency is critical to the success of the evidence-based policy movement, as without it, we will be unable to tell whether in any instance a policy was in fact based on evidence. (shrink)

I present two arguments for the view that it is nomologically possible that some non-biological creatures are conscious, including conventional, silicon-based AI systems. They assume the iterative natural kind (INK) strategy, according to which one should investigate consciousness by treating it as a natural kind which iteratively explains observable patterns and correlations between potentially consciousness-relevant features. Both arguments are based on the insight that we can already anticipate that future developments would give us reasons to attribute consciousness to some non-biological (...) creatures. According to the first argument, the fact that we can predict that ordinary people would be compelled to attribute consciousness to some possible non-biological creatures supports the view that these creatures are conscious. According to the second argument, an idealized scientific investigation – based on the INK strategy – would deliver the result that some possible non-biological creatures are conscious, and the outcome of such an ideal application corresponds to what is actually the case. My argument for the former premise is based on the claim that theoretical virtues and pre-theoretical principles support attributing consciousness to psychological duplicates, i.e., non-biological creatures which share the coarse-grained functional organization of humans. Finally, I argue that my second argument can be generalized beyond the INK strategy. (shrink)

Implementationalism maintains that conventional, silicon-based artificial systems are not conscious because they fail to satisfy certain substantive constraints on computational implementation. In this article, we argue that several recently proposed substantive constraints are implausible, or at least are not well-supported, insofar as they conflate intuitions about computational implementation generally and consciousness specifically. We argue instead that the mechanistic account of computation can explain several of the intuitions driving implementationalism and noncomputationalism in a manner which is consistent with artificial consciousness. Our (...) argument provides indirect support for computationalism about consciousness and the view that conventional artificial systems can be conscious. (shrink)

What do we do with Judges? This two-edged word? This ambidextrous book? These ambivalent heroes? The Judges were drawing their last fleeting breaths shipwrecked and scattered upon the shores of historical-critical-grammatical-linear-modernist-masculine interpretation. "The narrative is primitive," they said. "The editors have made a mess," they exclaimed. "The conclusion is really an appendix," another said. Then the bible-acrobats jumped in pretending there was no literary carnage while at the same time drawing our eyes away from the literary carnage. "No, no, there (...) is an order to this disorderly book!" "Gideon is a man of faith," they explained. "Gideon is a sham," others retorted. "Long live the king," they cried. "Oh no, the king will bring down the nation," others said. Enter the latest literary critics and the fresh feminist readers to save the day. And save they have. Barry noted the irony. Cheryl called attention to the elaborate, spiraling labyrinth. Phyllis remembered the forgotten. Mieke heralded the incoherence. Deborah the Bee slings Barak with irony. Cowardly Jephthah sacrifices his virgin daughter immediately after he is filled with the spirit. Blind Samson remains stuck in some adolescent, Pinnochio-like stage milling around the same old vices. The Levite, the man of word and sacrifice, lies to the people and dismembers his wife. To beat it all the myopic narrator joins in lock step with the other blind characters stumbling around in the narrative. What manner of text is this? These Judges, these stories, are even more troubling now that we take them seriously. Now what do we do with Judges? The recent scholarship is most promising, but I think we must press forward, or is that backward, or perhaps to another plan. Perhaps Judges hearkens forward to the postmodern. What would Judges look like if we viewed the story through a postmodern lens? Would we see the text in another dimension? Would we let the characters live and breathe as confusing, confounding, intricate characters? Judges speaks to me. These judges, they teach me. How can I ever forget my reading of Judges? For once I found a text reflecting the madness of faith in my maddening world. For once I saw a text like Pablo. I heard the echo of Umberto. I noted the faint murmurings of Jacques. I danced a most joyous jig with Julia. I saw, up ahead, or was that behind me, or over to the side, Martin's flickering candle. Mieke, meet Jael. Barak, meet Barry. Jacques, meet Gideon. Samson, meet Martin. Umberto, meet the narrator or two or three. Pablo, meet the Levite's wife---sorry, she has no name. (shrink)

Empathy is essential in story comprehension as it requires understanding of the emotions and intentions of the characters. We evaluated the sensitivity of an emotional perspective-taking task using Aesop’s Fables in relation to empathy. Participants (N = 301) were presented with 15 short fables and were asked to rate the intensity of the emotions they would feel (anger, sadness, disgust, fear, surprise, joy, trust, and anticipation) by adopting the perspective of one of the characters (offender, victim) or the observer’s perspective. (...) A data-driven approach revealed that participants’ responses were aligned with the characters’ intentions, suggesting successful emotional perspective-taking. Participants sympathized with the victim rather than the offender, demonstrating affective sharing processes. Further, participants with higher empathy scores exhibited stronger negative emotions from the victim’s perspective, independently of their level of distress. Our task was not influenced by gender effects. We suggest that the Aesop’s Fables task could provide an indirect instrument to study empathy. (shrink)

Scientific method interests the linguist not only as it interests every scientific worker, but also in a special way, because the scientist, as part of his method, utters certain very peculiar speech-forms. The linguist naturally divides scientific activity into two phases: the scientist performs “handling” actions and utters speech. The speech-forms which the scientist utters are peculiar both in their form and in their effect upon hearers.

It seems obvious that a community of one thousand scientists working together to make discoveries and solve puzzles should arrange itself differently than would one thousand scientist-hermits working independently. Because of limited time, resources, and attention, an independent scientist can explore only some of the possible approaches to a problem. Working alone, each hermit would explore the most promising approaches. They would needlessly duplicate the work of others and would be unlikely to develop approaches which look unpromising but really have (...) tremendous potential. Contrariwise, a large community can more rigorously explore the space of possible approaches. Most scientists should work on the most promising approaches, but a smaller number can be committed to approaches that initially look less promising. Exploratory work can reveal if one of those initially unpromising approaches has unrealized potential, and more scientists can adopt it once its potential becomes more apparent. (shrink)

Roughly, empirical AI alignment research (AIA) is an area of AI research which investigates empirically how to design AI systems in line with human goals. This paper examines the role of non-epistemic values in AIA. It argues that: (1) Sciences differ in the degree to which values influence them. (2) AIA is strongly value-laden. (3) This influence of values is managed inappropriately and thus threatens AIA’s epistemic integrity and ethical beneficence. (4) AIA should strive to achieve value transparency, critical scrutiny (...) from inside and outside the discipline – involving the public –, and to empower actors without strong commercial interests. (shrink)

William Whewell raised a series of objections concerning John Stuart Mill’s philosophy of science which suggested that Mill’s views were not properly informed by the history of science or by adequate reflection on scientific practices. The aim of this paper is to revisit and evaluate this incisive Whewellian criticism of Mill’s views by assessing Mill’s account of Michael Faraday’s discovery of electrical induction. The historical evidence demonstrates that Mill’s reconstruction is an inadequate reconstruction of this historical episode and the scientific (...) practices Faraday employed. But a study of Faraday’s research also raises some questions about Whewell’s characterization of this discovery. Thus, this example provides an opportunity to reconsider the debate between Whewell and Mill concerning the role of the sciences in the development of an adequate philosophy of scientific methodology.Keywords: Inductivism; Experiment; Theory; Methodology; Electromagnetism. (shrink)

Sensorimotor enactivism is the view that the content and the sensory modality of perceptual experience are determined by implicit knowledge of lawful regularities between bodily movements and patterns of sensory stimulation. A proponent of the explanatory argument for sensorimotor enactivism holds that this view is able to provide an intelligible explanation for why certain material realizers give rise to certain perceptual experiences, while rival accounts cannot close this “explanatory gap”. However, I argue that the notion of the “material realizer” of (...) perceptual experience is ambiguous. On a narrow construal, the explanatory gap cannot be bridged, not even by enactivism. On a wide construal, enactivism gets a grip on the explanatory gap, but to the same extent do established theories of consciousness. Thus, on both horns of the dilemma, the explanatory power of enactivism is not superior to more traditional theories of conscious experience. (shrink)

Emotion processing is known to be impaired in psychopathy, but less is known about the cognitive mechanisms that drive this. Our study examined experiencing and suppression of emotion processing in psychopathy. Participants, violent offenders with varying levels of psychopathy, viewed positive and negative images under conditions of passive viewing, experiencing and suppressing. Higher scoring psychopathics were more cardiovascularly responsive when processing negative information than positive, possibly reflecting an anomalously rewarding aspect of processing normally unpleasant material. When required to experience emotional (...) response, by ‘getting into the feeling’ of the emotion conveyed by a negative image, higher factor 1 psychopathic individuals showed reduced responsiveness, suggesting that they were less able to do this. These data, together with the absence of corresponding differences in subjective self-report might be used to inform clinical strategies for normalising emotion processing in psychopathic offenders to improve treatment outcome, and reduce risk amongst this client group. (shrink)

Judges is about loss: a loss of the individual which leads to a loss of the tribe, and, if circumstances remain unchecked, a loss of the nation.

"Any man-any artist, as Nietzsche or Cezanne would say- climbs the stairway in the tower of his perfection at the cost of a struggle with a deunde-not with an angel, as some have maintained, or with his muse. This fundamental distinction must be kept in mind if the root of a work of art is to be grasped." -Frederico Garcia Lorca.

With the appearance of Mircea Eliade's The Sacred and the Profane came the inauguration of theologians and philosophers questioning the preeminence of scholarly attention given to time to the virtual exclusion of space.

Our generation is turning to mentoring as an instrument of God to repair the ruin of our personal losses.

It is only the story... that saves our progeny from blundering like blind beggars into the spikes of the cactus fence. The story is our escort. Without we are blind. -Chinua Achebe, Anthills of the Savannah.

We lose something central to our humanity when we divide our world into neat little packages of sacred and secular.

Aimee did not want to survive; she neither wanted to live nor to die.

"Everything is a pretext for a good dinner.".

We want God to make sense, to be reasonable, to act according to how we think God should act. This kind of thinking, though, is not far from where we live today. If I give money to the church, then God will bless me financially. If I have my “quiet time” in scripture, then God will bless my day. If I raise my children right, then surely they will turn out right. In themselves these actions are good and right; however, (...) we have to ask ourselves, “Do our motives emerge from the desire to give a place to the mystery of faith, or, rather, to conquer mystery?”. (shrink)

We live in a world of many odd-shaped pieces, a cosmic jigsaw puzzle that often seems to have been further complicated by cruel fate.

Recent years have seen an increasing amount of studies of the history of the term “religion” and how it figures in conceptions of “the secular” and of cultural differences generally. A recurrent theme in these studies is that “religion” carries associations with Protestant Christianity and thus is not as universal a category as it might appear. The aim of this paper is to explore some resources in Wittgenstein’s philosophy to obtain greater clarity about the contexts of ascription of religion-status to (...) various phenomena and thus to gain perspective on claims made by scholars who investigate the genealogy of the term. While there is good reason to be circumspect about uncritical use of the term “religion” (no less in philosophizing about religions or conducting interreligious dialogue), I argue that instead of abandoning the term or proffering a critical theory of religion, investigation of ascriptions of religion will help philosophers to perceive more clearly the social dynamics that have led to some- one or thing being called religious and thus avoid equivocations that could obstruct the ends of philosophical inquiry or dialogue. (shrink)

In this essay I explore the resources Thomas Aquinas provides for enquiries concerning the psychological abilities of nonhuman animals. I first look to Aquinas’s account of divine, angelic, human, and nonhuman animal naming, to help us articulate the contours of a ‘critical anthropocentrism’ that aims to steer clear of the mistakes of a na¨ıve anthropocentrism and misconceived avowals to entirely eschew anthropocentrism. I then address the need for our critical anthropocentrism both to reject the mental-physical dichotomy endorsed by ‘folk psychology’ (...) and to articulate a more adequate ‘commonsense psychology’ that acknowledges most embodied animal behavior is observable psychological behavior. Next, I argue that we can develop Aquinas’s doctrine of estimation and conation to formulate an account of nonhuman animal action that more adequately characterizes the purposeful behaviors of nonhuman animals. To do so, we first need to recognize a wider range of nonhuman animal behaviors that are captured by Aquinas’s ‘estimative sense’, and that all of these behaviors are specified by a finite variety of particular goods confined to the animals’ environmental niches. But we also need to supplement Aquinas’s account of human and nonhuman animal agency by exploring the ontogeny and ecology of how humans and other animals become attuned to affordances within these different environmental niches. I argue that we should look to Aquinas’s account of nonhuman animal capacities in ST I-II 6-17 for subtle insights that can expand our understanding of how nonhuman animals engage in purposeful behavior by exercising analogous nonrational and imperfectly voluntary forms of intention, deliberation, choice, execution, and enjoyment. I conclude with an outline for how future enquiry can seek to explain the nonrational purposeful problem-solving competencies of chimps, canines, corvids, cetaceans, cephalopods, and other nonhuman animal species. (shrink)

An encyclopedic exploration of the images, symbols, motifs, metaphors, figures of speech and literary patterns of the Bible.

What is the relationship between prophetic vision and vision in terms for a hoped-for future? How might vision for a church or person best be defined today?

"I tried to find out for myself, from the start, when I was a child, what was right and what was wrong-because no one around me could tell me. And now that everything is leaving me I realize I need someone to show me the way and to blame me and praise me, by right not ofp ower but ofa uthority, I need my father." -Albert Camus, The First Man.

Compassion is called out of us when we see situations where there is an obvious absence of something or someone life-giving.

"He who is satisfied has never truly craved. And he who craves for the light of God neglects his ease for ardor." -Rabbi Abraham J. Heschel.

Climate change is today one of the greatest risks to peace and security, but arguably remains at the margins of policy action amid the loss of trust in multilateral institutions. The impacts of climate change are already felt by local communities in regions on the frontline. While communities have exercised agency to generate local impact and promote trust, the overwhelming impact of climate change necessitates effective state responses, and regional and global cooperation. Global cooperation, in turn, needs to better address (...) the challenges to peace and security faced by regions most exposed to the impacts of climate change. Southeast Asia is already experiencing direct climate change impacts from changes in temperature, precipitation, sea-level rise, ocean warming, and more frequent and intense extreme weather events. The subsequent indirect climate change impacts on food and water security, and changes in natural resource exploitation and migration patterns, affect the lives and livelihoods of people and communities across the highly diverse region and threaten its peace and security. In Southeast Asia, the cross-cutting impacts of climate change on peace and security can be analysed through the framework of comprehensive security. Comprehensive security is the organising concept of security in the region, integrated and widely reflected in the security lexicon in the ASEAN region and beyond. Unlike the conventional notion of security, which is narrowly defined to mean defending state borders from military attack, comprehensive security is a much broader conceptualisation of security that “[goes] beyond (but does not exclude) the military threats to embrace the political, economic and socio-cultural dimensions.". (shrink)

The article investigates the main characteristics of the financial stability of Ukrainian banks, their risk profile, structure of assets, liabilities, income, expenses based on the monthly reporting data for 2004-2020 (number of observations – 3 813). The Kohonen self-organizing map (SOM) toolkit is used to form homogeneous groups of banks based on a large number of financial indicators. The selected toolkit provides a convenient visualization of the results. Each bank occupies a specific place on the SOM. The close location of (...) banks on the map indicates that these banks have many common characteristics. This study is called the method of structural and functional groups of banks. The study formed stable groups of banks with the same characteristics of business models and risk profile. The formation of consecutive maps for each reporting period allows to obtain the characteristics of each bank separately and the banking system as a whole. The trajectory of an individual bank’s activity during the observation period characterizes the development of its business strategy. The migration of a large number of banks between groups reflects the objective changes in the conditions of banking. Increasing groups of high-risk banks indicate systemic problems. The results show that after a significant reduction in the banking system of Ukraine in 2014-2016, the business models of banks have changed significantly. The resource base relies on unstable sources of current funds with no set term of use. In the assets of banks, a significant portion is invested in government securities – government bonds. Bank loan portfolios have declined and have a higher proportion of non-performing assets (NPL). Many banks have increased currency risk. Concerns are raised about the state of large state-owned banks that hold a separate high-risk group. Thus, the conducted research allows to distinguish groups of banks with specific characteristics of business models and to observe changes of risk profile inherent to these groups. For each structural-functional group, changes in the values of financial indicators are investigated and migration between groups is studied. The proposed methodology is useful for studying both macro and macro levels. (shrink)

This paper sets mathematics among the sciences, despite not being empirical, because it studies relations of various sorts, like the sciences. Each empirical science studies the relations among objects, which relations determining which science. The mathematical science studies relations as such, regardless of what those relations may be or be among, how relations themselves are related. This places it at the extreme among the sciences with no objects of its own (A Subject with no Object, by J.P. Burgess and G. (...) Rosen). Examples are discussed. The historical development of written mathematics from algorithms on clay tablets to theorems with proofs is said to show that application of algorithms to specific problems and theorems to scientific objects is like allegorical interpretation. Mathematics fits into the modern scientific context because the sciences, beginning with Galileo, have been constructed in imitation of mathematics. Viewing mathematics this way does not solve any ontological problems, but it does show how mathematics avoids them. Epistemological problems, insuperable for object realism, are simplified. For example, we have access to relations among any objects that we can consider objectively, first physical objects and then mathematical objects of greater and greater abstraction. (shrink)

This paper will argue that the order and the unity of St. Thomas Aquinas’s five ways can be elucidated through a consideration of St. Thomas’s appropriation of an Avicennian insight that he used to order and unify the wisdom of the Aristotelian and Abrahamic philosophical traditions towards the existence of God. I will begin with a central aporia from Aristotle’s Metaphysics. Aristotle says that the science of first philosophy has three different theoretical vectors: ontology, aitiology, and theology. But how can (...) all three be united into a single Aristotelian science? In his Metaphysics of the Healing, Avicenna resolved the impasse by taking the ontological vector as the subject of metaphysics. He then integrated the question of the four first causes into the penultimate stage of his demonstration for the existence of God, thereby placing aitiological and theological questions among the ultimate concerns of a unified Aristotelian metaphysics. In the five ways, St. Thomas integrated Avicenna’s Aristotelian search for the first four causes into the last four of his five ways, by showing that each of the four aitiological orders terminate in an ultimate first cause that we call God. Finally, by appending the proof from the Physics to the beginning of the five ways, St. Thomas was able to show that the ultimate aim of both natural philosophy and metaphysics is the divine first principle, which is the beginning and subject of sacra doctrina. (shrink)