Benjamin Franklin's social and political thought was shaped by contacts with and knowledge of ancient aboriginal traditions. Indeed, a strong case can be made that key features of the social structure eventually outlined in the United States Constitution arose not from European sources, and not full-grown from the foreheads of European-American "founding fathers", but from aboriginal sources, communicated to the authors of the Constitution to a significant extent through Franklin. A brief sketch of the main argument to (...) this effect is offered in this essay. (shrink)

Why do average Americans recall the wise words of their politicians (e.g., John F. Kennedy’s “Ask not what your country can do for you. . .”) but forget those of their political philosophers (e.g., John Rawls’s two principles of justice)? Notably absent from Sandel’s list is Benjamin Franklin, the author, printer, scientist, and statesman who led the United States through a tumultuous period of colonial politics, a revolutionary war, and its momentous, though no less precarious, founding as a (...) nation. Lorraine Smith Pangle’s new book on Franklin seeks to remedy another glaring omission, namely, “that while so much attention has been paid to Franklin’s life, so little has hitherto been given to his political thought.". (shrink)

Although there is no consensus about the exact span of time that corresponds to the American Enlightenment, it is safe to say that it occurred during the eighteenth century among thinkers in British North America and the early United States and was inspired by the ideas of the British and French Enlightenments. Based on the metaphor of bringing light to the Dark Age, the Age of the Enlightenment (Siècle des lumières in French and Aufklärung in German) shifted allegiances away from (...) absolute authority, whether religious or political, to more skeptical and optimistic attitudes about human nature, religion and politics. In the American context, thinkers such as Thomas Paine, James Madison, Thomas Jefferson, John Adams and Benjamin Franklin invented and adopted revolutionary ideas about scientific rationality, religious toleration and experimental political organization—ideas that would have far-reaching effects on the development of the fledgling nation. Some coupled science and religion in the notion of deism; others asserted the natural rights of man in the anti-authoritarian doctrine of liberalism; and still others touted the importance of cultivating virtue, enlightened leadership and community in early forms of republican thinking. At least six ideas came to punctuate American Enlightenment thinking: deism, liberalism, republicanism, conservatism, toleration and scientific progress. Many of these were shared with European Enlightenment thinkers, but in some instances took a uniquely American form. (shrink)

This essay fills in some historical, conceptual, and pedagogical gaps that appear in the most visible and recent professional efforts to “revive” Philosophy as a Way of Life (PWOL). I present “American Philosophy and Self-Culture” as an advanced undergraduate seminar that broadens who counts in and what counts as philosophy by immersing us in the lives, writings, and practices of seven representative U.S.-American philosophers of self-culture, community-building, and world-changing: Benjamin Franklin (1706–1790), Frederick Douglass (1818–1895), William Ellery Channing (1780–1842), (...) Henry David Thoreau (1817–1862), Margaret Fuller (1810-1850), Henry Bugbee (1915–1999), and Gloria Anzaldúa (1942–2004). Students enter the class with preconceptions about who philosophers are, what they do, how they write, and the languages in which they write. Students walk out with new senses of self, place, and language that emerge through new ways of seeing, doing, and writing philosophy. (shrink)

HISTÓRIA DA SOCIOLOGIA: O DESENVOLVIMENTO DA SOCIOLOGIA I -/- A SOCIOLOGIA NA ALEMANHA -/- -/- HISTORY OF SOCIOLOGY: THE DEVELOPMENT OF SOCIOLOGY I -/- SOCIOLOGY IN GERMANY -/- -/- -/- Emanuel Isaque Cordeiro da Silva – IFPE-BJ, CAP-UFPE e UFRPE. E-mail's: [email protected] e [email protected]. WhatsApp: (82)9.8143-8399. -/- PREMISSA -/- Na Alemanha, a Sociologia foi profundamente influenciada pela discussão filosófica, histórica e metodológica que se desenvolveu entre o final do século XIX e o início do século XX. Em seus fundamentos encontra-se (...) o pensamento de vários filósofos, como Johann Gottlieb Fichte (1762 -1814), Friedrich Wilhelm Joseph von Schelling (1775 -1854), Friedrich Daniel Ernst Schleiermacher (1768 -1834), Georg Wilhelm Friedrich Hegel (1770 -1831) e Friedrich W. Nietzsche (1844-1900). -/- O representante mais expressivo da Sociologia alemã é Max Weber (1864-1920). Outros pensadores, entretanto, contribuíram significativamente para a formação e o desenvolvimento da Sociologia na Alemanha, entre os quais Ferdinand Tönnies (1855 -1936), Werner Sombart (1863-1941), Georg Simmel (1858-1918) e os estudiosos que a partir da década de 1920 constituíram a chamada Escola de Frankfurt. -/- A obra desses autores liga-se fortemente ao processo de unificação alemã, promovido somente após o triunfo de Otto von Bismarck na Guerra Franco-Prussiana (1871), e à aceleração da industrialização alemã. Esses dois fatores conferiram à Alemanha uma situação muito diferente da de outros países europeus. -/- A alteração nas estruturas de poder, na Alemanha, não ocorreu por meio de uma revolução, como na França, mas por um acordo entre a bur-guesia industrial e os grandes proprietários de terra, tendo em vista uma transição mais adequada aos seus interesses. -/- Vale salientar, em nota, que após a Guerra Franco-Prussiana (1870-71), os príncipes alemães se reuniram no palácio de Versalhes (França), onde aclamaram Guilherme I, da Prússia, como o imperador alemão. Assim surgia o Império da Alemanha, em 1871. -/- A burguesia industrial não estava preocupada em alterar de modo significativo a estrutura fundiária, e os grandes proprietários, que se encastelaram na burocracia estatal, não permitiram a formulação de uma legislação trabalhista que prejudicasse os interesses da burguesia. Assim se fez uma mudança “por cima”, sem levar em conta os interesses dos trabalhadores urbanos ou rurais. Destacam-se aqui dois importantes soció-logos alemães: Georg Simmel e Max Weber, pela presença no Brasil. Depois, brevemente, falar-se-á aqui da famosa Escola de Frankfurt. -/- 1. Georg Simmel (1858-1918) -/- Nascido em Berlim, Georg Simmel é um pensador difícil de enquadrar em alguma tendência ou campo específico do conhecimento. Vamos ler um trecho do que escreveu sobre ele o sociólogo brasileiro Leopoldo Waizbort: -/- Quem tentar esboçar a fisionomia de Georg Simmel (1858-1918), logo se encontra em meio a dificuldades que são características próprias daquilo que se quer apreender. Simmel sempre postulou para seu próprio pensamento uma mobilidade e uma plasticidade para se adaptar ao seu objeto – uma multiplicidade de direções, uma defesa do fragmento –, que se opõem a toda tentativa de fixação e acabamento, a toda pretensão de sistema. Por isso todos os rótulos que lhe são atribuídos, apesar de possuírem seu teor de verdade, sempre soam tão falsos: vitalismo, relativismo, esteticismo, formalismo, irracionalismo, psicologismo, impressionismo e tantos mais. Disto também é exemplo o fato de Simmel, hoje considerado, ao lado de Max Weber e Ferdinand Tönnies, um dos “pais” da sociologia alemã, não poder ser classificado sem mais como “sociólogo”, sob pena de se perderem várias outras dimensões que são essenciais ao seu pensamento (WAIZBORT, 2000. p. 11). -/- G. Simmel foi o último dos sete filhos de um próspero comerciante judeu convertido ao cristianismo. Com a morte do pai, herdou uma fortuna considerável que lhe permitiu independência para desenvolver a vida acadêmica. Estudou História e Filosofia na Universidade de Berlim, onde foi aluno das mais importantes figuras acadêmicas da época. Em 1881, defendeu uma tese sobre Immanuel Kant e recebeu o título de doutor em Filosofia. Entre 1885 e 1914, lecionou Filosofia, Ética e Sociologia na Universidade de Berlim, mas nunca foi incorporado formalmente à universidade. -/- Ocupou o cargo de professor titular de Filosofia somente em 1914, em Estrasburgo, cidade onde permaneceu até a morte, em 1918. -/- Na virada do século XIX para o século XX na Alemanha, houve uma intensa efervescência filosófica, cultural e artística, cenário em que se desenvolveram a psicanálise, a teoria da relatividade, o positivismo lógico e a música atonal. Nesse cenário, Simmel tornou-se um conferencista muito aclamado e escreveu artigos e ensaios sobre os mais variados temas da Filosofia, como lógica, teoria do conhecimento, ética, estética ou metafísica, além de temas da Psicologia, da Sociologia, da História e da religião. -/- Escreveu também muitas biografias (de Johann Wolfgang von Goethe, de Friedrich Nietzsche, de Immanuel Kant e de Rembrandt, entre outros). -/- Suas obras sociológicas mais importantes são: Da diferenciação social (1890), A filosofia do dinheiro (1907), Sociologia (1908) e Questões fundamentais da Sociologia (1917). Georg Simmel teve influência marcante no desenvolvimento da Sociologia na Alemanha, nos Estados Unidos (em especial na Escola de Chicago) e na França (em Durkheim e seus colaboradores diretos). Suas obras foram traduzidas para o francês e o inglês, muitas vezes antes de ser publicadas em alemão. -/- 2. Max Weber (1864-1920) -/- Max Weber nasceu em 21 de abril de 1864, em Erfurt, e morreu em Munique, em 1920. De família abastada, teve uma educação formal de boa qualidade, o que lhe permitiu uma erudição notável. Com 18 anos, ingressou na Universidade de Heidelberg, onde escolheu como área de concentração o Direito e como correlatas a História, a Filosofia e a Economia. Nessa universidade, teve o primeiro contato com os escritos de Immanuel Kant e com neokantianos, os quais nunca deixou de lado em seus estudos. -/- Em 1889, concluiu o doutorado em Direito Comercial com uma tese sobre a história das sociedades comerciais da Idade Média. Em 1891, defendeu outra tese: A importância da história agrária romana para o direito público e privado. Em 1894, tornou-se professor de Economia na Universidade de Freiburg e, dois anos depois, transferiu-se para a Universidade de Heidelberg. -/- A partir de 1897, acometido de uma depressão profunda, não conseguiu desenvolver as atividades acadêmicas. Entre 1902 e 1903, retomou as atividades intelectuais, mas fora da universidade, pois não tinha condições psicológicas para ministrar aulas. No ano seguinte, tornou-se coeditor do Arquivo de Ciências Sociais, publicação muito importante para o desenvolvimento dos estudos sociológicos na Alemanha. -/- Entre agosto e dezembro de 1904, viajou, com Ferdinand Tönnies e Werner Sombart, aos Estados Unidos, por ocasião da Exposição Universal de Saint-Louis, onde entrou em contato com as igrejas e seitas protestantes daquele país e também com vários escritos de Benjamin Franklin (1706-1790), o que foi fundamental para suas pesquisas sobre a relação entre a ética protestante e o capitalismo. -/- Em 1907, recebeu uma herança significativa. A partir de então, dedicou-se exclusivamente à investigação histórica e sociológica. Em 1909, colaborou na fundação da Sociedade Alemã de Sociologia. Ao ser deflagrada a Primeira Guerra Mundial, em 1914, Weber foi convocado como oficial da reserva para dirigir um hospital militar. Entre as atividades no hospital encontrou tempo para continuar a escrever partes do livro que foi publicado postumamente por sua esposa, com o título Economia e sociedade. Além disso, desenvolveu estudos sobre ética econômica e as religiões universais e escreveu uma série de artigos para os grandes jornais da Alemanha. Nesses artigos, criticou a estrutura partidária do país e a burocratização das esferas políticas na Alemanha, afirmando que aquela situação ainda era a herança de Otto von Bismarck. -/- Em 1917, pronunciou uma conferência – A ciência como vocação – e produziu um escrito, no qual explicitou seu método – Ensaio sobre neutralidade axiológica nas ciências sociológicas e econômicas. -/- Pelas ideias expostas em debates e nos jornais e por sua erudição, Max Weber, após a derrota alemã na Primeira Guerra Mundial, fez parte da comissão que redigiu, em 1919, a nova constituição política alemã, conhecida como a Constituição de Weimar. -/- Pode-se afirmar que a vida de Max Weber foi dedicada aos estudos, à pesquisa e à participação ativa na política alemã de seu tempo, por meio de conferências e artigos para jornais e revistas. -/- Weber não media esforços para analisar e com-preender mais profundamente os temas que elegia. Aprendeu grego e hebraico para ler a Bíblia no original, espanhol para ler os documentos sobre as companhias de navegação e comércio espanhol, russo para ler os jornais sobre os acontecimentos na Rússia de 1905 até a revolução de 1917, inglês para ler os textos estadunidenses sobre a vida religiosa e a ética dos protestantes. -/- Para Max Weber, o indivíduo é o núcleo de análise por ser o único que pode definir intenções e finalidades para seus atos. Desse modo, o ponto de partida da Sociologia é a compreensão da ação dos indivíduos, atuando e vivenciando situações sociais com determinadas motivações e intenções. Instituições como Estado e família só ganham sentido quando vistas da perspectiva das relações sociais. Assim, Max Weber não concebe a sociedade como um bloco, uma estrutura una, mas como uma teia de relações capazes de produzir sentido. -/- A obra de Max Weber é vasta e engloba história, direito e economia, passando pelas questões religiosas, pelos processos burocráticos, pela análise da cidade, da música e, enfim, pela discussão metodológica das ciências humanas e dos conceitos sociológicos. -/- Entre os seus escritos, podemos destacar: A ética protestante e o “espírito” do capitalismo (1904-1905/1920), A ciência como vocação (1917), A política como vocação (1919), Economia e sociedade (1920), História geral da economia (1923) e Ensaios reunidos de sociologia da religião (1917/1920). -/- Outros sociólogos alemães mantiveram-se em atividade após a Primeira Guerra Mundial, como Ferdinand Tönnies, Leopold von Wiese (1876 -1969), Hans Freyer (1887-1969) e Franz Oppenheimer (1864 -1943), que fundou, em 1919, a primeira cátedra de Sociologia na Alemanha, em Frankfurt. -/- 3. A Escola de Frankfurt -/- Logo após a morte de Max Weber, abriu-se um novo horizonte para a Sociologia alemã com a fundação do Instituto de Pesquisa Social, vinculado à Universidade Johann Wolfgang Goethe de Frankfurt, que ficou conhecido como Escola de Frankfurt. Em 1923, um grupo de intelectuais – entre eles Friedrich Pollok (1894-1970), Leo Löwenthal (1900-1993), Karl August Wittfogel (1896-1988), Max Horkheimer (1895-1973) e Theodor Adorno (1903-1969) – desenvolveu uma análise da sociedade contemporânea com base em concepções filosóficas de Immanuel Kant, Friedrich Hegel e Friedrich Nietzsche, em visões sociológicas de Karl Marx e de Max Weber e no pensamento de Sigmund Freud. -/- Os integrantes do grupo de Frankfurt pretendiam desenvolver uma teoria crítica da sociedade capitalista e buscavam explicar fenômenos que iam da análise da personalidade autoritária à indústria cultural. Mantiveram a crítica ao positivismo e ao pragmatismo, procurando demonstrar a necessida-de de refletir sobre as condições que permitiram a emergência do nazismo e sobre o significado dessa ideologia. As reflexões desses intelectuais culminaram com uma crítica à razão instrumental e às formas de controle sobre a sociedade contemporânea. -/- Além dos estudiosos citados, são representantes desse pensamento Walter Benjamin (1892-1940), Erich Fromm (1900-1980) e Herbert Marcuse (1898-1979), entre outros. Todos os integrantes da Escola de Frankfurt precisaram sair da Alema-nha por causa da perseguição nazista. Adorno e Horkheimer voltaram ao país depois do fim da Segunda Guerra Mundial. Deram continuidade à Escola de Frankfurt, entre outros, Jürgen Habermas (1929-), da segunda geração, e Axel Honneth (1949-), da terceira e atual geração. -/- REFERENCIAL TEÓRICO -/- CUIN, C. H.; GRESLE, F. História da Sociologia. Trad. Roberto Leal Ferreira. São Paulo: Ensaio, 1994. -/- CULTURAL, A. Max Weber. Textos selecionados. 2ª ed. São Paulo: Abril Cultural, 1980. (Col. Os Pensadores). -/- NOVA, S. V. Introdução à Sociologia. 6ª ed. São Paulo: Atlas, 2004. -/- SILVA, A. et al. Sociologia em movimento. 2ª ed. São Paulo: Ática, 2016. -/- VANDENBERGHE, F. As sociologias de Georg Simmel. 1ª ed. Petrópolis: Vozes, 2018. -/- WAIZBORT, L. As aventuras de Georg Simmel. São Paulo: USP, Curso de Pós-Graduação em Sociologia/Editora 34, 2000. -/- SBS - Sociedade Brasileira de Sociologia PUCRS - PPG em Ciências Sociais Avenida Ipiranga, 6681 - Partenon CEP: 90619-900 - Porto Alegre, RS [email protected] Emanuel Isaque © 2019. (shrink)

The German philosopher Franz Brentano develops his personal thinking by harmonising his favourite sources: Aristotle, Thomas Aquinas and Leibniz. However, he also goes beyond them, introducing a determinism foreign to Thomas Aquinas and eliminating divine punishments from the future life, thus departing from the Christian position also held by Leibniz. Aristotle is credited with Brentano’s Leibnizian ideas: his God is the author of the best of all possible worlds and, within a deterministic paradigm, leads all souls to immortal happiness.

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)

The universality of critical phenomena is best explained by appeal to the Renormalisation Group (RG). Batterman and Morrison, among others, have claimed that this explanation is irreducible. I argue that the RG account is reducible, but that the higher-level explanation ought not to be eliminated. I demonstrate that the key assumption on which the explanation relies – the scale invariance of critical systems – can be explained in lower-level terms; however, we should not replace the RG explanation with a bottom-up (...) account, rather we should acknowledge that the explanation appeals to dependencies which may be traced down to lower levels. (shrink)

• It would be a moral disgrace for God (if he existed) to allow the many evils in the world, in the same way it would be for a parent to allow a nursery to be infested with criminals who abused the children. • There is a contradiction in asserting all three of the propositions: God is perfectly good; God is perfectly powerful; evil exists (since if God wanted to remove the evils and could, he would). • The religious believer (...) has no hope of getting away with excuses that evil is not as bad as it seems, or that it is all a result of free will, and so on. Piper avoids mentioning the best solution so far put forward to the problem of evil. It is Leibniz’s theory that God does not create a better world because there isn’t one — that is, that (contrary to appearances) if one part of the world were improved, the ramifications would result in it being worse elsewhere, and worse overall. It is a “bump in the carpet” theory: push evil down here, and it pops up over there. Leibniz put it by saying this is the “Best of All Possible Worlds”. That phrase was a public relations disaster for his theory, suggesting as it does that everything is perfectly fine as it is. He does not mean that, but only that designing worlds is a lot harder than it looks, and determining the amount of evil in the best one is no easy matter. Though humour is hardly appropriate to the subject matter, the point of Leibniz’s idea is contained in the old joke, “An optimist is someone who thinks this is the best of all possible worlds, and a pessimist thinks.. (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)

The interventionist account of causal explanation, in the version presented by Jim Woodward, has been recently claimed capable of buttressing the widely felt—though poorly understood—hunch that high-level, relatively abstract explanations, of the sort provided by sciences like biology, psychology and economics, are in some cases explanatorily optimal. It is the aim of this paper to show that this is mistaken. Due to a lack of effective constraints on the causal variables at the heart of the interventionist causal-explanatory scheme, as presently (...) formulated it is either unable to prefer high-level explanations to low, or systematically overshoots, recommending explanations at so high of a level as to be virtually vacuous. (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)

What is it about a person's becoming an adult that makes it generally inappropriate to treat that person paternalistically any longer? The Standard View holds that a mere difference in age or stage of life cannot in itself be morally relevant, but only matters insofar as it is correlated with the development of capacities for mature practical reasoning. This paper defends the contrary view: two people can have all the same general psychological attributes and yet the mere fact that one (...) person is at the beginning of a life and another in the middle of one can justify treating the younger person more paternalistically than the older one. Recognising the moral relevance of age, moreover, is crucial if one is to accommodate both the liberal moral ideal of respect for autonomy and our demanding educational aims, given that these otherwise come into conflict with one another. (shrink)

Effective quantum field theories are effective insofar as they apply within a prescribed range of length-scales, but within that range they predict and describe with extremely high accuracy and precision. The effectiveness of EFTs is explained by identifying the features—the scaling behaviour of the parameters—that lead to effectiveness. The explanation relies on distinguishing autonomy with respect to changes in microstates, from autonomy with respect to changes in microlaws, and relating these, respectively, to renormalizability and naturalness. It is claimed that the (...) effectiveness of EFTs is a consequence of each theory’s autonomyms rather than its autonomyml.1Introduction2Renormalizability2.1Explaining renormalizability3Naturalness3.1An unnatural but renormalizable theory4Two Kinds of Autonomy5The Effectiveness of Effective Quantum Field Theories6Conclusion. (shrink)

How were reliable predictions made before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? The book examines how judges, witch inquisitors, and juries evaluated evidence; how scientists weighed reasons for and against scientific theories; and how merchants counted shipwrecks to determine insurance rates. Also included are the problem of induction before Hume, design arguments for (...) the existence of God, and theories on how to evaluate scientific and historical hypotheses. It is explained how Pascal and Fermat's work on chance arose out of legal thought on aleatory contracts. The book interprets pre-Pascalian unquantified probability in a generally objective Bayesian or logical probabilist sense. (shrink)

The modern Everett interpretation of quantum mechanics describes an emergent multiverse. The goal of this paper is to provide a perspicuous characterisation of how the multiverse emerges making use of a recent account of (weak) ontological emergence. This will be cashed out with a case study that identifies decoherence as the mechanism for emergence. The greater metaphysical clarity enables the rebuttal of critiques due to Baker (2007) and Dawid and Th\'ebault (2015) that cast the emergent multiverse ontology as incoherent; responses (...) are also offered to challenges to the Everettian approach from Maudlin (2010) and Monton (2013). (shrink)

The objective Bayesian view of proof (or logical probability, or evidential support) is explained and defended: that the relation of evidence to hypothesis (in legal trials, science etc) is a strictly logical one, comparable to deductive logic. This view is distinguished from the thesis, which had some popularity in law in the 1980s, that legal evidence ought to be evaluated using numerical probabilities and formulas. While numbers are not always useful, a central role is played in uncertain reasoning by the (...) ‘proportional syllogism’, or argument from frequencies, such as ‘nearly all aeroplane flights arrive safely, so my flight is very likely to arrive safely’. Such arguments raise the ‘problem of the reference class’, arising from the fact that an individual case may be a member of many different classes in which frequencies differ. For example, if 15 per cent of swans are black and 60 per cent of fauna in the zoo is black, what should I think about the likelihood of a swan in the zoo being black? The nature of the problem is explained, and legal cases where it arises are given. It is explained how recent work in data mining on the relevance of features for prediction provides a solution to the reference class problem. (shrink)

An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world and (...) are objects of mathematics. Though some mathematical structures such as infinities may be too big to be realized in fact, all of them are capable of being realized. Informed by the author's background in both philosophy and mathematics, but keeping to simple examples, the book shows how infant perception of patterns is extended by visualization and proof to the vast edifice of modern pure and applied mathematical knowledge. (shrink)

Both realist and anti-realist accounts of natural kinds possess prima facie virtues: realists can straightforwardly make sense of the apparent objectivity of the natural kinds, and anti-realists, their knowability. This paper formulates a properly anti-realist account designed to capture both merits. In particular, it recommends understanding natural kinds as ‘categorical bottlenecks,’ those categories that not only best serve us, with our idiosyncratic aims and cognitive capacities, but also those of a wide range of alternative agents. By endorsing an ultimately subjective (...) categorical principle, this view sidesteps epistemological difficulties facing realist views. Yet, it nevertheless identifies natural kinds that are fairly, though not completely, stance-independent or objective. (shrink)

This paper critiques the new mechanistic explanatory program on grounds that, even when applied to the kinds of examples that it was originally designed to treat, it does not distinguish correct explanations from those that blunder. First, I offer a systematization of the explanatory account, one according to which explanations are mechanistic models that satisfy three desiderata: they must 1) represent causal relations, 2) describe the proper parts, and 3) depict the system at the right ‘level.’ Second, I argue that (...) even the most developed attempts to fulfill these desiderata fall short by failing to appropriately constrain explanatorily apt mechanistic models. -/- *This paper used to be called "The Emperor's New Mechanisms". (shrink)

Fifty years of effort in artificial intelligence (AI) and the formalization of legal reasoning have produced both successes and failures. Considerable success in organizing and displaying evidence and its interrelationships has been accompanied by failure to achieve the original ambition of AI as applied to law: fully automated legal decision-making. The obstacles to formalizing legal reasoning have proved to be the same ones that make the formalization of commonsense reasoning so difficult, and are most evident where legal reasoning has to (...) meld with the vast web of ordinary human knowledge of the world. Underlying many of the problems is the mismatch between the discreteness of symbol manipulation and the continuous nature of imprecise natural language, of degrees of similarity and analogy, and of probabilities. (shrink)

Throughout history, almost all mathematicians, physicists and philosophers have been of the opinion that space and time are infinitely divisible. That is, it is usually believed that space and time do not consist of atoms, but that any piece of space and time of non-zero size, however small, can itself be divided into still smaller parts. This assumption is included in geometry, as in Euclid, and also in the Euclidean and non- Euclidean geometries used in modern physics. Of the few (...) who have denied that space and time are infinitely divisible, the most notable are the ancient atomists, and Berkeley and Hume. All of these assert not only that space and time might be atomic, but that they must be. Infinite divisibility is, they say, impossible on purely conceptual grounds. (shrink)

There is a wide range of realist but non-Platonist philosophies of mathematics—naturalist or Aristotelian realisms. Held by Aristotle and Mill, they played little part in twentieth century philosophy of mathematics but have been revived recently. They assimilate mathematics to the rest of science. They hold that mathematics is the science of X, where X is some observable feature of the (physical or other non-abstract) world. Choices for X include quantity, structure, pattern, complexity, relations. The article lays out and compares these (...) options, including their accounts of what X is, the examples supporting each theory, and the reasons for identifying the science of X with (most or all of) mathematics. Some comparison of the options is undertaken, but the main aim is to display the spectrum of viable alternatives to Platonism and nominalism. It is explained how these views answer Frege’s widely accepted argument that arithmetic cannot be about real features of the physical world, and arguments that such mathematical objects as large infinities and perfect geometrical figures cannot be physically realized. (shrink)

Though biologists identify individuals as ‘male’ or ‘female’ across a broad range of animal species, the particular traits exhibited by males and females can vary tremendously. This diversity has led some to conclude that cross-animal sexes (males, or females, of whatever animal species) have “little or no explanatory power” (Dupré 1986: 447) and, thus, are not natural kinds in any traditional sense. This essay will explore considerations for and against this conclusion, ultimately arguing that the animal sexes, properly understood, are (...) “historical explanatory kinds”: groupings that can be scientifically significant even while their members differ radically in their current properties and particular histories. Whether this makes them full-fledged natural kinds is a question I take up at the very end. (shrink)

Many philosophers of science are ontologically committed to a lush rainforest of special science entities ), but are often reticent about the criteria that determine which entities count as real. On the other hand, the metaphysics literature is much more forthcoming about such criteria, but often links ontological commitment to irreducibility. We argue that the irreducibility criteria are in tension with scientific realism: for example, they would exclude viruses, which are plausibly theoretically reducible and yet play a sufficiently important role (...) in scientific accounts of the world that they should be included in our ontology. In this paper, we show how the inhabitants of the rainforest can be inoculated against the eliminative threat of reduction: by demonstrating that they are emergent. According to our account, emergence involves a screening off condition as well as novelty. We go on to demonstrate that this account of emergence, which is compatible with theoretical reducibility, satisfies common intuitions concerning what should and shouldn't count as real: viruses are emergent, as are trouts and turkeys, but philosophically gerrymandered objects like trout-turkeys do not qualify. (shrink)

El objetivo principal de este artículo es presentar la demostración directa del Teorema de compacidad de la Lógica de primer orden (Gama tiene un modelo si y sólo si cada subconjunto finito de Gama tiene un modelo) que se realiza utilizando el Método de construcción de modelos llamado "Ultraproductos" que, a su vez, usa "Ultrafiltros". Actualmente es más común demostrar el Teorema de compacidad como un corolario del Teorema de completitud de Gödel y usar el método de reducción al absurdo (...) para probarlo. Sin embargo, vale la pena estudiar también esta prueba directa que usa Ultraproductos porque dicha técnica tiene importantes aplicaciones en investigaciones contemporáneas de matemáticas, por ejemplo en la Teoría de conjuntos y en el Análisis. Al final del artículo se realiza un breve comentario sobre Compacidad, Ultraproductos, Cardinales grandes y Modelos no estándar. (shrink)

This paper sketches a causal account of scientific explanation designed to sustain the judgment that high-level, detail-sparse explanations—particularly those offered in biology—can be at least as explanatorily valuable as lower-level counterparts. The motivating idea is that complete explanations maximize causal economy: they cite those aspects of an event’s causal run-up that offer the biggest-bang-for-your-buck, by costing less (in virtue of being abstract) and delivering more (in virtue making the event stable or robust).

A point charge accelerating under the influence of an external force emits electromagnetic radiation that reduces the increase in its mechanical energy. This causes a reduction in the particle's acceleration. We derive the decrease in acceleration due to radiation reaction for a particle accelerating parallel to its velocity, and show that it has a negligible effect.

David Armstrong (1926-2014) was much the most internationally successful philosopher to come from Sydney. His life moved from a privileged Empire childhood and student of John Anderson to acclaimed elder statesman of realist philosophy. His philosophy developed from an Andersonian realist inheritance to major contributions on materialist theory of mind and the theory of universals. His views on several other topics such as religion and ethics are surveyed briefly.

En el ámbito de la lógica matemática existe un problema sobre la relación lógica entre dos versiones débiles del Axioma de elección (AE) que no se ha podido resolver desde el año 2000 (aproximadamente). Tales versiones están relacionadas con ultrafiltros no principales y con Propiedades Ramsey (Bernstein, Polarizada, Subretículo, Ramsey, Ordinales flotantes, etc). La primera versión débil del AE es la siguiente (A): “Existen ultrafiltros no principales sobre el conjunto de los números naturales (ℕ)”. Y la segunda versión débil del (...) AE es la siguiente (B): “Existen ultraflitros sobre ℕ”. Se sabe que A implica B, pero se desconoce si B implica A. Di Prisco y Henle conjeturan en los artículos ([1], [2]) que esto no ocurre, es decir, conjeturan que B no implica A, en otras palabras, conjeturan que A es más fuerte estrictamente que B, que A es independiente de B, pero esto no se ha podido demostrar todavía aunque se ha intentado hacer desde hace aproximadamente 21 años. Una descripción detallada de este problema abierto puede encontrarse en esta ponencia (dictada en el marco del Día Mundial de la Lógica 14-01-2022) y en el artículo [3]. [1] C. Di Prisco y H. Henle. “Doughnuts, Floating Ordinals, Square Brackets, and Ultraflitters”. Journal of Symbolic Logic 65 (2000) 462-473. [2] C. Di Prisco y H. Henle. “Partitions of the reals and choice”. En “Models, algebras and proofs”. X. Caicedo y C.M. Montenegro. Eds. Lecture Notes in Pure and Appl. Math, 203, Marcel Dekker, 1999. [3] F. Galindo. “Tópicos de ultrafiltros”. Divulgaciones Matemáticas. Vol. 21, No 1-2, 2020. (shrink)

Collected essays consider points of affinity and friction between Walter Benjamin and Martin Heidegger. Despite being contemporaries, Walter Benjamin and Martin Heidegger never directly engaged with one another. Yet, Hannah Arendt, who knew both men, pointed out common ground between the two. Both were concerned with the destruction of metaphysics, the development of a new way of reading and understanding literature and art, and the formulation of radical theories about time and history. On the other hand, their life (...) trajectories and political commitments were radically different. In a 1930 letter, Benjamin told a friend that he had been reading Heidegger and that if the two were to engage with one another, “sparks will fly.” Acknowledging both their affinities and points of conflict, this volume stages that confrontation, focusing in particular on temporality, Romanticism, and politics in their work. (shrink)

Just before the Scientific Revolution, there was a "Mathematical Revolution", heavily based on geometrical and machine diagrams. The "faculty of imagination" (now called scientific visualization) was developed to allow 3D understanding of planetary motion, human anatomy and the workings of machines. 1543 saw the publication of the heavily geometrical work of Copernicus and Vesalius, as well as the first Italian translation of Euclid.

A problem for Aristotelian realist accounts of universals (neither Platonist nor nominalist) is the status of those universals that happen not to be realised in the physical (or any other) world. They perhaps include uninstantiated shades of blue and huge infinite cardinals. Should they be altogether excluded (as in D.M. Armstrong's theory of universals) or accorded some sort of reality? Surely truths about ratios are true even of ratios that are too big to be instantiated - what is the truthmaker (...) of such truths? It is argued that Aristotelianism can answer the question, but only a semi-Platonist form of it. (shrink)

Collection of articles on themes of Australian Catholic philosophy and history. Articles of philosophical interest include 'Catholic thought and Catholic Action: Dr Paddy Ryan MSC' (on the scholastic philosopher and anti-Communist), 'Catholic schooldays with philosophy', 'Traditional Catholic philosophy: baby and bathwater', 'Secular versus Catholic conceptions of values in Australian education', 'Accountancy as computational casuistics', 'The Mabo High Court and natural law values', and 'Stove, Hume and Enlightenment'.

Philosophers of experiment have acknowledged that experiments are often more than mere hypothesis-tests, once thought to be an experiment's exclusive calling. Drawing on examples from contemporary biology, I make an additional amendment to our understanding of experiment by examining the way that `wide' instrumentation can, for reasons of efficiency, lead scientists away from traditional hypothesis-directed methods of experimentation and towards exploratory methods.

The winning entry in David Stove's Competition to Find the Worst Argument in the World was: “We can know things only as they are related to us/insofar as they fall under our conceptual schemes, etc., so, we cannot know things as they are in themselves.” That argument underpins many recent relativisms, including postmodernism, post-Kuhnian sociological philosophy of science, cultural relativism, sociobiological versions of ethical relativism, and so on. All such arguments have the same form as ‘We have eyes, therefore we (...) cannot see’, and are equally invalid. (shrink)

In What Science Knows, the Australian philosopher and mathematician James Franklin explains in captivating and straightforward prose how science works its magic. It offers a semipopular introduction to an objective Bayesian/logical probabilist account of scientific reasoning, arguing that inductive reasoning is logically justified (though actually existing science sometimes falls short). Its account of mathematics is Aristotelian realist.

Modern philosophy of mathematics has been dominated by Platonism and nominalism, to the neglect of the Aristotelian realist option. Aristotelianism holds that mathematics studies certain real properties of the world – mathematics is neither about a disembodied world of “abstract objects”, as Platonism holds, nor it is merely a language of science, as nominalism holds. Aristotle’s theory that mathematics is the “science of quantity” is a good account of at least elementary mathematics: the ratio of two heights, for example, is (...) a perceivable and measurable real relation between properties of physical things, a relation that can be shared by the ratio of two weights or two time intervals. Ratios are an example of continuous quantity; discrete quantities, such as whole numbers, are also realised as relations between a heap and a unit-making universal. For example, the relation between foliage and being-a-leaf is the number of leaves on a tree,a relation that may equal the relation between a heap of shoes and being-a-shoe. Modern higher mathematics, however, deals with some real properties that are not naturally seen as quantity, so that the “science of quantity” theory of mathematics needs supplementation. Symmetry, topology and similar structural properties are studied by mathematics, but are about pattern, structure or arrangement rather than quantity. (shrink)

Among the factors necessary for the occurrence of some event, which of these are selectively highlighted in its explanation and labeled as causes — and which are explanatorily omitted, or relegated to the status of background conditions? Following J. S. Mill, most have thought that only a pragmatic answer to this question was possible. In this paper I suggest we understand this ‘causal selection problem’ in causal-explanatory terms, and propose that explanatory trade-offs between abstraction and stability can provide a principled (...) solution to it. After sketching that solution, it is applied to a few biological examples, including to a debate concerning the ‘causal democracy’ of organismal development, with an anti-democratic (though not a gene-centric) moral. (shrink)

Einstein, like most philosophers, thought that there cannot be mathematical truths which are both necessary and about reality. The article argues against this, starting with prima facie examples such as "It is impossible to tile my bathroom floor with regular pentagonal tiles." Replies are given to objections based on the supposedly purely logical or hypothetical nature of mathematics.

The formal sciences - mathematical as opposed to natural sciences, such as operations research, statistics, theoretical computer science, systems engineering - appear to have achieved mathematically provable knowledge directly about the real world. It is argued that this appearance is correct.

Nearly all defences of the agent-causal theory of free will portray the theory as a distinctively libertarian one — a theory that only libertarians have reason to accept. According to what I call ‘the standard argument for the agent-causal theory of free will’, the reason to embrace agent-causal libertarianism is that libertarians can solve the problem of enhanced control only if they furnish agents with the agent-causal power. In this way it is assumed that there is only reason to accept (...) the agent-causal theory if there is reason to accept libertarianism. I aim to refute this claim. I will argue that the reasons we have for endorsing the agent-causal theory of free will are nonpartisan. The real reason for going agent-causal has nothing to do with determinism or indeterminism, but rather with avoiding reductionism about agency and the self. As we will see, if there is reason for libertarians to accept the agent-causal theory, there is just as much reason for compatibilists to accept it. It is in this sense that I contend that if anyone should be an agent-causalist, then everyone should be an agent-causalist. (shrink)

The distinction between the discrete and the continuous lies at the heart of mathematics. Discrete mathematics (arithmetic, algebra, combinatorics, graph theory, cryptography, logic) has a set of concepts, techniques, and application areas largely distinct from continuous mathematics (traditional geometry, calculus, most of functional analysis, differential equations, topology). The interaction between the two – for example in computer models of continuous systems such as fluid flow – is a central issue in the applicable mathematics of the last hundred years. This article (...) explains the distinction and why it has proved to be one of the great organizing themes of mathematics. (shrink)

Blaming (construed broadly to include both blaming-attitudes and blaming-actions) is a puzzling phenomenon. Even when we grant that someone is blameworthy, we can still sensibly wonder whether we ought to blame him. We sometimes choose to forgive and show mercy, even when it is not asked for. We are naturally led to wonder why we shouldn’t always do this. Wouldn’t it be a better to wholly reject the punitive practices of blame, especially in light of their often undesirable effects, and (...) embrace an ethic of unrelenting forgiveness and mercy? In this paper I seek to address these questions by offering an account of blame that provides a rationale for thinking that to wholly forswear blaming blameworthy agents would be deeply mistaken. This is because, as I will argue, blaming is a way of valuing, it is “a mode of valuation.” I will argue that among the minimal standards of respect generated by valuable objects, notably persons, is the requirement to redress disvalue with blame. It is not just that blame is something additional we are required to do in properly valuing, but rather blame is part of what that it is to properly value. Blaming, given the existence of blameworthy agents, is mode of valuation required by the standards of minimal respect. To forswear blame would be to fail value what we ought to value. (shrink)

Es conocido que el método de forcing es una de las técnicas de construcción de modelos más importantes de la Teoría de conjuntos en la actualidad, siendo el mismo muy útil para investigar problemas de matemática y/o de fundamentos de la matemática. El destacado matemático Joan Bagaria afirma lo siguiente sobre el método de forcing en su artículo "Paul Cohen y la técnica del forcing" (Gaceta de la Real Sociedad Matemática Española, Vol. 2, Nº 3, 1999, págs 543-553) : "Aunque (...) Cohen recibió la medalla Fields por su demostración de la independencia de la hipótesis del continuo y del axioma de elección, su contribución va mucho más allá de estos problemas. Su nuevo método, el forcing, no sólo ha permitido resolver un sinfín de problemas importantes en prácticamente todas las áreas de las matemáticas, si no que ha cambiado para siempre nuestra concepción de la matemática como ciencia". El objetivo principal del siguiente trabajo es estudiar el método de forcing describiendo algunas de sus aplicaciones (forcing de Cohen, forcing aleatorio, forcing de Mathias, forcing de Sacks, forcing de Silver, etc.), y ofreciendo una aproximación a sus fundamentos metamatemáticos. Se aspira que estas notas sirvan de apoyo para aprender dicho método. (shrink)

In this article, we address a major outstanding question of probabilistic Bayesian epistemology: how should a rational Bayesian agent update their beliefs upon learning an indicative conditional? A number of authors have recently contended that this question is fundamentally underdetermined by Bayesian norms, and hence that there is no single update procedure that rational agents are obliged to follow upon learning an indicative conditional. Here we resist this trend and argue that a core set of widely accepted Bayesian norms is (...) sufficient to identify a normatively privileged updating procedure for this kind of learning. Along the way, we justify a privileged formalization of the notion of ‘epistemic conservativity’, offer a new analysis of the Judy Benjamin problem, and emphasize the distinction between interpreting the content of new evidence and updating one’s beliefs on the basis of that content. (shrink)

Journal of Applied Philosophy, EarlyView.

The imperviousness of mathematical truth to anti-objectivist attacks has always heartened those who defend objectivism in other areas, such as ethics. It is argued that the parallel between mathematics and ethics is close and does support objectivist theories of ethics. The parallel depends on the foundational role of equality in both disciplines. Despite obvious differences in their subject matter, mathematics and ethics share a status as pure forms of knowledge, distinct from empirical sciences. A pure understanding of principles is possible (...) because of the simplicity of the notion of equality, despite the different origins of our understanding of equality of objects in general and of the equality of the ethical worth of persons. (shrink)

A polemical account of Australian philosophy up to 2003, emphasising its unique aspects (such as commitment to realism) and the connections between philosophers' views and their lives. Topics include early idealism, the dominance of John Anderson in Sydney, the Orr case, Catholic scholasticism, Melbourne Wittgensteinianism, philosophy of science, the Sydney disturbances of the 1970s, Francofeminism, environmental philosophy, the philosophy of law and Mabo, ethics and Peter Singer. Realist theories especially praised are David Armstrong's on universals, David Stove's on logical probability (...) and the ethical realism of Rai Gaita and Catholic philosophers. In addition to strict philosophy, the book treats non-religious moral traditions to train virtue, such as Freemasonry, civics education and the Greek and Roman classics. (shrink)

Pascal’s wager and Leibniz’s theory that this is the best of all possible worlds are latecomers in the Faith-and-Reason tradition. They have remained interlopers; they have never been taken as seriously as the older arguments for the existence of God and other themes related to faith and reason.