Gottfried Leibniz embarked on a research program to prove all the Aristotelic categorical syllogisms by diagrammatic and algebraic methods. He succeeded in proving them by means of Euler diagrams, but didn’t produce a manuscript with their algebraic proofs. We demonstrate how key excerpts scattered across various Leibniz’s drafts on logic contained sufficient ingredients to prove them by an algebraic method –which we call the Leibniz-Cayley (LC) system– without having to make use of the more expressive and complex machinery of first-order (...) quantificational logic. In addition, we prove the classic categorical syllogisms again by a relational method –which we call the McColl-Ladd (ML) system– employing categorical relations studied by Hugh McColl and Christine Ladd. Finally, we show the connection of ML and LC with Boolean algebra, proving that ML is a consequence of LC, and that LC is a consequence of the Boolean lattice axioms, thus establishing Leibniz’s historical priority over George Boole in characterizing and applying (a sufficient fragment of) Boolean algebra to effectively tackle categorical syllogistic. (shrink)

HISTÓRIA DA SOCIOLOGIA: O DESENVOLVIMENTO DA SOCIOLOGIA I -/- A SOCIOLOGIA NOS ESTADOS UNIDOS -/- -/- HISTORY OF SOCIOLOGY: THE DEVELOPMENT OF SOCIOLOGY I -/- SOCIOLOGY IN UNITED STATES -/- -/- Emanuel Isaque Cordeiro da Silva – IFPE-BJ, CAP-UFPE e UFRPE. E-mails: [email protected] e [email protected] WhatsApp: (82)9.8143-8399. -/- -/- PREMISSA -/- A Sociologia nos Estados Unidos desenvolveu-se no contexto de dois grandes eventos que marcaram profundamente a história do país. -/- O primeiro foi a Guerra de Secessão (também conhecida como (...) Guerra Civil Americana), que ocorreu entre 1861 e 1865 e gerou ressentimentos e atritos entre a população do sul e a do norte dos Estados Unidos. -/- Em contrapartida, houve a urbanização das terras do oeste e das áreas centrais do país, o que contribuiu para o crescimento da economia e a expansão industrial. No norte, graças ao esforço de guerra, houve um grande crescimento, principalmente na metalurgia, no transporte ferroviário, na indústria de armamentos e na indústria naval. O comércio também se expandiu de maneira exponencial em todo o território estadunidense. -/- O padrão de cultura dos Estados Unidos passou a ser o ideal nortista de “trabalho duro, educação e liberdade econômica a todos”. Houve ainda um grande desenvolvimento de escolas e instituições de ensino superior. -/- O segundo grande evento que marcou a história estadunidense foi a chegada em massa de estrangeiros. Entre 1860 e 1900, os Estados Unidos passaram de país agrícola, com população em torno de 4 milhões, para país industrial, com uma das maiores economias do mundo e com 75 milhões de habitantes. -/- O incremento populacional e a industrialização redundaram em um processo de urbanização sem precedentes que continuou até a década de 1930. Para se ter uma ideia, em 1860 viviam em Chicago 102 260 pessoas; em 1900, a população da cidade passou a 1 698 575 e, em 1930, a 3 375 329. Em virtude desses fatores, consolidaram-se nos Estados Unidos uma burguesia industrial, comercial e financeira significativa, uma classe trabalhadora majoritariamente formada por imigrantes e uma classe média em ascensão. -/- As principais cidades passaram a ser um espaço de conflito e alvo de preocupações. Temas como imigração, aculturação, conflitos étnicos, comportamentos desviantes e políticas públicas foram importantes na Sociologia desenvolvida inicialmente no país. -/- Entre os principais fundadores da Sociologia nos Estados Unidos estão William Graham Sumner (1840 -1910), Lester Frank Ward (1841-1913), Albion Woodbury Small (1854-1926), Franklin Henry Giddings (1855-1931), Thorstein Bunde Veblen (1857-1929), William Isaac Thomas (1863-1947), Robert Ezra Park (1864-1944), Charles Horton Cooley (1864-1929) e George Herbert Mead (1863-1931). -/- A herança cultural desses fundadores é muito diversa: foram influenciados principalmente pela tradição religiosa protestante disseminada em quase todo o território, pelo liberalismo econômico clássico conservador, do tipo laissez-faire, pelo evolucionismo do inglês Charles Darwin (1809-1882) e pelo darwinismo social de Herbert Spencer (1820-1903). Acrescente-se a esse cadinho de concepções de mundo e ciência o pragmatismo do filósofo e psicólogo William James (1842-1910) e do filósofo Charles Pierce (1839-1914). -/- Essa herança permite compreender as duas grandes características da Sociologia nos Estados Unidos: -/- • multiplicidade de temas, problemas e propostas e diversidade teórica e metodológica; -/- • desenvolvimento desse campo do conhecimento em universidades, nas quais as atividades eram financiadas pelo Estado e pelo setor privado (Fundação Rockefeller, comitês e associações normalmente religiosas). -/- Por causa dessa segunda característica, optei por analisar o desenvolvimento da Sociologia nos Estados Unidos em três importantes universidades estadunidenses: a de Chicago, Harvard e Columbia. -/- 1. A Universidade de Chicago -/- A Universidade de Chicago foi fundada em 1890 pelo magnata do petróleo John D. Rockefeller e recebeu os primeiros alunos em 1892. Nela foi criado o primeiro departamento de Sociologia dos Estados Unidos, sob a direção de Albion Woodbury Small. -/- No início de seus trabalhos sociológicos, a Universidade de Chicago deu primazia à pesquisa empírica, procurando conhecer, por meio da observação direta, a dinâmica das relações sociais. Desenvolveu uma forte tendência pragmática e microssociológica, que viria a ser conhecida como a Escola de Chicago. A maior preocupação dos integrantes dessa Escola foi com os problemas das grandes cidades dos Estados Unidos, como a marginalidade social, o alcoolismo, as drogas, a segregação racial e a delinquência, estabelecendo uma relação entre a pesquisa sociológica e a intervenção dos organismos públicos na sociedade. -/- Os sociólogos de Chicago também se dedicaram ao que chamaram de ecologia humana, em oposição à ecologia animal e vegetal. -/- Em 1895, Albion Woodbury Small fundou o American Journal of Sociology e, em 1907, participou ativamente da fundação da Sociedade Americana de Sociologia. Ele publicou, com Georges Vincent, em 1894, talvez o primeiro manual de Sociologia para estudantes, intitulado Introdução ao estudo da sociedade. Tendo estudado na Alemanha, Small foi o principal divulgador do pensamento de Georg Simmel nos Estados Unidos. -/- Entre os integrantes da Escola de Chicago mais conhecidos no Brasil, podemos citar William I. Thomas (1863-1947) e Florian Znaniecki (1882-1958), cuja principal obra foi O camponês polonês na Europa e na América, editada em 1918. -/- Destacam-se ainda Robert E. Park (1864-1944) e Ernest W. Burgess (1886-1966), que escreveram, entre outras obras, Introdução à ciência da Sociologia, em 1921. -/- Os dois, com Roderick Mackenzie, escreveram o clássico A cidade, em 1925. Outro membro de destaque foi Louis Wirth (1897-1952), autor de O gueto, escrito em 1928, e de um artigo que se tornou famoso, “Urbanismo como modo de vida”, publicado em 1938, no American Journal of Sociology. -/- A Escola de Chicago congregou, ainda, sociólogos e antropólogos com ligação com a Psicologia Social, que desenvolveram uma abordagem sociológica das relações sociais conhecida como interacionismo simbólico. A principal figura dessa vertente foi George Herbert Mead (1863-1932), que trabalhou em diversas áreas, sobretudo como psicólogo social e como professor de várias gerações de antropólogos e sociólogos. Seus escritos foram sistematizados por seus alunos e publicados com o nome Mind, self and society (A mente, o eu e a sociedade), em 1934. -/- Além da tradição intelectual dos Estados Unidos, os integrantes da Escola de Chicago receberam a influência de Jean-Gabriel de Tarde, Émile Durkheim e Georg Simmel. Seus continuadores foram Herbert Blumer (1900-1987) e Everett C. Hughes (1897-1983). -/- 1.1 Erving Goffman (1922-1982) -/- O representante da Sociologia desenvolvida na Universidade de Chicago mais influente no Brasil é Erving Goffman, que nasceu em Manville, Alberta, no Canadá, em 1922, e faleceu nos Estados Unidos em 1982. Obteve o grau de bacharel pela Universidade de Toronto, em 1945, e concluiu mestrado (1949) e doutorado (1953) na Universidade de Chicago, onde estudou Sociologia e Antropologia Social. Em 1958, tornou-se professor da Universidade da Califórnia e, em 1968, ingressou na Universidade da Pensilvânia, onde foi professor de Antropologia e Sociologia. -/- Entre 1981 e 1982, Goffman foi presidente da Sociedade Americana de Sociologia e realizou pesquisas na linha da Sociologia interpretativa e cultural, iniciada por Max Weber, desenvolvendo a ideia de que o mundo é um teatro e cada um, individualmente ou em grupo, interpreta papéis de acordo com as circunstâncias em que se encontra. Essas circunstâncias são marcadas por rituais e posições distintivas em relação a outros indivíduos ou grupos. Para ele, é possível distinguir indivíduos, grupos e classes com base, por exemplo, em aspectos como as formas de vestir ou de se apresentar publicamente. -/- O sociólogo considera a interação social como um processo fundamental de identificação e de diferenciação dos indivíduos e grupos, analisando-a no cotidiano, especialmente em lugares públicos. Goffman estudou com especial atenção o que chamou de “instituições totais”, lugares onde o indivíduo é isolado da sociedade, como prisões e manicômios. -/- De acordo com o sociólogo brasileiro Édison Gastaldo: -/- O trabalho de Goffman trouxe à luz aspectos da vida cotidiana que não se julgavam “sociologicamente relevantes”. Seus insights sobre as interações ordinárias, sobre o deslocamento dos pedestres, sobre a ocupação social dos espaços públicos, sobre a atuação dos vigaristas, mendigos, loucos, espiões, jogadores e de todos aqueles que passam cotidianamente debaixo de nossos narizes sem que prestemos atenção modificaram o pensar sociológico no mundo. Sua descrição etnográfica de um hospital para doentes mentais colaborou decisivamente para deflagrar a luta antimanicomial no mundo inteiro. Vinte e dois anos depois de sua morte, os temas e os conceitos desenvolvidos por Goffman ainda estão em pleno uso e vitalidade (GASTALDO, 2004, p. 9/10). -/- Suas três obras mais conhecidas são: A representação do eu na vida cotidiana (1959), Manicômios, prisões e conventos (1961) e Estigma: notas sobre a manipulação da identidade (1963). -/- 2. A Universidade Harvard -/- A história de Harvard começa em 1636, quando foi fundada, na cidade de Cambridge, no estado de Massachusetts, uma instituição de ensino denominada New College. Em 1639, essa instituição recebeu o nome de Harvard College, em homenagem a John Harvard, seu principal mecenas. -/- A Sociologia desenvolvida na Universidade Harvard é marcada por uma preocupação teórica e tem dois sociólogos como expoentes: Pitirim Alexandrovich Sorokin (1889-1968) e Talcott Edgar Frederick Parsons (1902-1979). Este último influenciou muito o desenvolvimento da Sociologia no mundo e no Brasil. -/- 2.1 Talcott Parsons (1902-1979) -/- Talcott Parsons nasceu no Colorado, nos Estados Unidos. Em 1924, graduou-se em Biologia e Filosofia na Faculdade Amherst. Em 1925, pós-graduou-se em Ciências Sociais na Escola de Economia de Londres, na Inglaterra, e, em seguida, doutorou-se na Universidade de Heidelberg, na Alemanha. -/- Nos Estados Unidos, lecionou Economia e Sociologia na Universidade Harvard durante 45 anos (1927-1973). Em 1944, tornou-se presidente do Departamento de Sociologia, transformando-o, dois anos depois, no Departamento de Relações Sociais, a fim de unir a Sociologia a outras ciências sociais. -/- Assim como Sorokin, Parsons voltou-se para a Sociologia europeia, tendo por base as ideias de Max Weber, Vilfredo Pareto (1848-1923) e Émile Durkheim, além das do economista inglês Alfred Marshall (1842-1924). Fundamentado nesses autores, desenvolveu uma grande obra teórica, que dominaria a Sociologia estadunidense desde então. -/- Parsons é o sociólogo estadunidense mais conhecido no mundo. Em geral, seus críticos entenderam-no como um pensador conservador, preocupado basicamente com o bom ordenamento da sociedade. Seu interesse era determinar a função que os indivíduos desempenhavam na estrutura social. Entendia o indivíduo como expressão dessa estrutura, a qual devia ser mantida e preservada. Caso isso não ocorresse, deviam entrar em ação os mecanismos de controle social (moral, ética, sistema jurídico e penal etc.), como instrumentos preventivos ou corretivos. -/- Seu trabalho exerceu influência em diversos países e ambientes acadêmicos (particularmente nas décadas de 1950 a 1970), até mesmo na então União Soviética, onde, em 1964, ministrou aulas sobre a Sociologia estadunidense a convite da Academia de Ciências da União Soviética (URSS). -/- Suas principais obras foram: A estrutura da ação social (1937), O sistema social (1951), Economia e sociedade (1956, com N. Smelser), Estrutura e processo nas sociedades modernas (1960), Sociedades: perspectivas evolucionárias e comparativas (1966), Teoria sociológica e sociedade moderna (1968), Política e estrutura social (1969), Sistemas sociais e a evolução da teoria da ação (1977) e Teoria da ação e a condição humana (1978). -/- 3. A Universidade Columbia -/- A King’s College foi fundada em 1754, em Nova York, nos Estados Unidos. Quando as colônias inglesas se declararam independentes da Grã-Bretanha, a instituição passou a se chamar Universidade Columbia. A partir da última década do século XIX, essa universidade se destacaria por uma importante produção no campo da Sociologia, tendo como pioneiro Franklin Giddings (1855-1931), fundador da cadeira de Sociologia. Fortemente marcado pelo evolucionismo e pelo pragmatismo, foi um dos primeiros a usar métodos quantitativos e experi-mentais no estudo dos fenômenos sociais. -/- Dois sociólogos de Columbia merecem destaque, por serem muito conhecidos no Brasil: Robert K. Merton e Charles Wright Mills. -/- 3.1 Robert King Merton (1910-2003) -/- Merton nasceu na Filadélfia e faleceu em Nova York. Graduou-se em Sociologia na Universidade Temple e pós-graduou-se na Universidade Harvard, onde trabalhou com Pitirim Sorokin e Talcott Parsons até a defesa de seu doutorado, em 1936. -/- Em 1941 Merton transferiu-se para a Universidade Columbia, onde permaneceu durante 38 anos, até aposentar-se. Nessa universidade procurou integrar teoria à prática sociológica. Estudou o comportamento desviante e os processos de adaptação social, tendo por base pesquisas qualitativas e quantitativas do exercício profissional em ambiente de solidariedade e de conflito. Com Paul Lazarsfeld (1901-1976), desenvolveu o Departamento de Pesquisa Social Aplicada. -/- O nome de Merton está vinculado à proposta de criação de teorias de alcance médio, segundo a qual os sociólogos seriam mais úteis à sociedade se deixassem de lado as grandes teorias (criticando Parsons) e criassem outras de médio alcance. Essas teorias estariam situadas entre as hipóteses de trabalho rotineiras na pesquisa e as amplas especulações. Mediariam, dessa forma, as abstrações, generalizações e fundamentos empíricos da pesquisa. -/- Merton tinha uma visão humanista da função social da ciência, demonstrando influência clara de Max Weber. Concebia a ciência como um conjunto de conhecimentos compartilhados por todos os membros da sociedade, que deveriam julgar a credibilidade das postulações científicas de acordo com suas expectativas e valores morais. Mas as decisões acerca do fazer científico não caberiam à sociedade, e sim ao próprio cientista, sempre adequando seus valores aos da sociedade. -/- 3.2 Charles Wright Mills (1916-1962) -/- Charles Wright Mills (1916-1962) nasceu em Waco, no Texas, Estados Unidos. Mestre em Artes, Filosofia e Sociologia pela Universidade do Texas, concluiu, em 1942, seu doutorado em Sociologia e Antropologia pela Universidade de Wisconsin. Foi professor de Sociologia nas universidades de Maryland e Columbia, onde passou a lecionar em 1947 e permaneceu até a morte, em 1962. -/- Charles Mills representa uma tendência quase marginal na Sociologia dos Estados Unidos, por apresentar uma visão crítica e militante da sociedade estadunidense e da própria Sociologia. -/- Influenciado por Karl Marx e Max Weber, Mills procurou conciliar o conceito de classe social com o de status, visando esclarecer processos e mecanismos dos conflitos e das mudanças sociais. Por meio de pesquisas, tentou elucidar a complexidade de estruturas de poder, particularmente das elites (em lugar de classes dominantes), e de seu papel na mudança social, fugindo da ideia de revolução como única via para a transformação social. -/- Charles Wright Mills é conhecido principalmente por seu livro A imaginação sociológica, publicado originalmente nos Estados Unidos em 1959. Nele, o autor propõe que os sociólogos, ao exercer a profissão, não deixem a imaginação e a criatividade de lado em favor de uma pretensa objetividade e neutralidade do trabalho científico. Para Mills, os grandes intelectuais da história nunca abriram mão da reflexão e da criatividade e mantiveram uma postura crítica diante da realidade. -/- Atribuindo aos sociólogos a responsabilidade de agentes ativos na sociedade, cabendo-lhes tomar parte nos debates públicos de sua época, Mills defendia a ideia de que a Sociologia deveria ser compreensível para o grande público. Para ele, a ciência social era inseparável da vida pessoal do cientista: a intuição, a imaginação e o comprometimento com o tempo em que se vivia eram fundamentais para compreender cientificamente a sociedade. Suas obras foram publicadas em vários idiomas. Além da citada anteriormente, as mais importantes são: A nova classe média (1951), A elite do poder (1956), Sobre o artesanato intelectual (1959) e Os marxistas (1962). -/- Mills escreveu também artigos em revistas e dois livros que tiveram grande exposição na mídia dos Estados Unidos, por seu caráter polêmico: As causas da Terceira Guerra Mundial (1958), no qual discute a corrida nuclear, e A Revolução em Cuba (1960), em que analisa a fase inicial da Revolução Cubana. -/- Outros sociólogos que defendem uma postura crítica na Sociologia estadunidense, continuadores ou não de Charles Wright Mills, são Irving Louis Horowitz (1929-2012), Martin Nicolaus (1928-) e Alvin Gouldner (1920-1980). -/- REFERENCIAL TEÓRICO -/- BOTTOMORE, T.; et al. Dicionário do pensamento social do século XX. Trad. Eduardo Francisco Alves. Álvaro Cabral. Rio de Janeiro: Zahar, 1996. -/- COULON, A. A Escola de Chicago. Trad. Tomás R. Bueno. 1ª ed. Campinas: Papirus, 1995. -/- CUIN, C. H.; GRESLE, F. História da Sociologia. Trad. Roberto Leal Ferreira. São Paulo: Ensaio, 1994. -/- DOMINGUES, J. M. A sociologia de Talcott Parsons. 1ª ed. São Paulo: Annablume, 2008. -/- GASTALDO, É. (org.); et al. Erving Goffman, desbravador do cotidiano. 1ª ed. Porto Alegre: Tomo Editorial, 2004. -/- 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. -/- VALLADARES, L. do P. A Escola de Chicago: impacto de uma tradição no Brasil e na França. 1ª ed. Belo Horizonte: UFMG, 2005. -/- VÁRIOS, autores. O livro da sociologia. As grandes ideias de todos os tempos. Trad. Rafael Longo. 1ª ed. São Paulo: Globo, 2015. -/- SBS - Sociedade Brasileira de Sociologia PUCRS - PPG em Ciências Sociais Avenida Ipiranga, 6681 - Partenon CEP: 90619-900 - Porto Alegre, RS [email protected] Emanuel Isaque Cordeiro da Silva ©2019 -/- Estimule a criatividade. Respeite os direitos autorais. (shrink)

Kant scholars have paid relatively little attention to his raciology. They assume that his racism, as personal prejudice, can be disentangled from his core philosophy. They also assume that racism contradicts his moral theory. In this book, philosopher Huaping Lu-Adler challenges both assumptions. She shows how Kant's raciology--divided into racialism and racism--is integral to his philosophical system. She also rejects the individualistic approach to Kant and racism. Instead, she uses the notion of racism as ideological formation to demonstrate how (...) Kant, from his social location both as a prominent scholar and as a lifelong educator, participated in the formation of modern racist ideology. As a scholar, Kant developed a ground-breaking scientific theory of race from the standpoint of a philosophical investigator of nature or Naturforscher. As an educator, he transmitted denigrating depictions of the racialized others and imbued those descriptions with normative relevance. In both roles, he left behind, as one of his legacies, a worldview that excluded non-whites from such goods as recognitional respect and candidacy for cultural and moral achievements. Scholars who research and teach Kant's philosophy therefore have an unshakable burden to take part in the ongoing antiracist struggles, through their teaching practices as well as their scholarship. And they must do so with a pragmatic attention to nonideal social realities and a deliberate orientation toward substantial racial justice, equality, and inclusion. Lu-Adler pushes the discourse about Kant and racism well beyond the old debates about whether he was racist or whether his racism contaminates his philosophy. By foregrounding the lasting legacies of Kant's raciology, her work calls for a profound reorientation of Kant scholarship. (shrink)

According to an oft-repeated narrative, while Kant maintained racist views through the 1780s, he changed his mind in the 1790s. Pauline Kleingeld introduced this narrative based on passages from Kant’s Metaphysics of Morals and “Toward Perpetual Peace”. On her reading, Kant categorically condemned chattel slavery in those texts, which meant that he became more racially egalitarian. But the passages involving slavery, once contextualized, either do not concern modern, race-based chattel slavery or at best suggest that Kant mentioned it as a (...) cautionary tale for labor practices in Europe. Overall, Kant never explicitly considered chattel slavery as a moral problem to be addressed on its own. Rather, he treated it primarily in terms of its function in human history. If he ended up expressing some qualms about its practices, it was likely because they threatened to deepen intra-European conflicts and undermine the prospect of perpetual peace. The humanity of the enslaved “Negroes” was never part of the reasoning. This was not a casual oversight on Kant’s part. It reflects the complexity of his philosophical system: everything he did or did not say about chattel slavery begins to make sense once we connect his philosophy of history and his depiction of “Negroes” as natural slaves. (shrink)

Kant develops a concept of savagery, partly characterized by laziness, to envision a program for human progress. He also racializes savagery, treating native Americans, in particular, as literal savages. He ascribes to this “race” a peculiar physiological laziness, a supposedly hereditary trait of blunted life power. Accordingly, while he grants them the same “germs” for perfections as he does the civilized Europeans, he allows them no prospect of actually fulfilling any such perfection. For the road to perfection must be paved (...) through industry, a condition that Kant denies to the “savages” by racializing their alleged laziness. This case will shed new light on the debated relation between Kant’s moral universalism and his racism. (shrink)

A testimony is somebody else’s reported experience of what has happened. It is an indispensable source of knowledge. It only gives us historical cognition, however, which stands in a complex relation to rational or philosophical cognition: while the latter presupposes historical cognition as its matter, one needs the architectonic “eye of a philosopher” to select, interpret, and organize historical cognition. Kant develops this rationalist theory of testimony. He also practices it in his own work, especially while theorizing about race as (...) a subject of natural philosophy. In three dedicated essays on this subject, he treats race from the standpoint of a philosophical investigator of nature (Naturforscher), who (as Kant puts it in the first Critique) learns from nature “like an appointed judge who compels witnesses to answer the questions he puts to them.” This view underwrites Kant’s use of travel reports (a type of testimony) in developing and defending his theory of race. (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)

At A71/B96–7 Kant explains that singular judgements are ‘special’ because they stand to the general ones as Einheit to Unendlichkeit. The reference to Einheit brings to mind the category of unity and hence raises a spectre of circularity in Kant’s explanation. I aim to remove this spectre by interpreting the Einheit-Unendlichkeit contrast in light of the logical distinctions among universal, particular and singular judgments shared by Kant and his logician predecessors. This interpretation has a further implication for resolving a controversy (...) over the correlation between the logical moments of quantity (universal, particular, singular) and the categorial ones (unity, plurality, totality). (shrink)

Leibniz, and many following him, saw the Principle of Sufficient Reason (PSR) as pivotal to a scientific (demonstrated) metaphysics. Against this backdrop, Kant is expected to pay close attention to PSR in his reflections on the possibility of metaphysics, which is his chief concern in the Critique of Pure Reason. It is far from clear, however, what has become of PSR in the Critique. On one reading, Kant has simply turned it into the causal principle of the Second Analogy. On (...) a different reading, PSR is but the supreme principle of reason, which roughly states that, if the conditioned is given, so is the unconditioned. On my reading, PSR appears in the guises of both the causal principle and the supreme principle. This twofold specification, I argue, is key to understanding (i) Kant’s allegations that past metaphysicians failed to prove PSR, (ii) his own Critical account of the possibility of metaphysics in both of its parts (ontology and metaphysics proper), and (iii) his nuanced answer to the contentious question about the relation between physical inquiry and metaphysical reasoning about nature (both being quests for reasons). (shrink)

Probabilistic inference from frequencies, such as "Most Quakers are pacifists; Nixon is a Quaker, so probably Nixon is a pacifist" suffer from the problem that an individual is typically a member of many "reference classes" (such as Quakers, Republicans, Californians, etc) in which the frequency of the target attribute varies. How to choose the best class or combine the information? The article argues that the problem can be solved by the feature selection methods used in contemporary Big Data science: the (...) correct reference class is that determined by the features relevant to the target, and relevance is measured by correlation (that is, a feature is relevant if it makes a difference to the frequency of the target). (shrink)

The origin of languages was a hotly debated topic in the eighteenth century. This paper reconstructs a distinctively Kantian account according to which the origination, progression, and diversification of languages is at bottom reason’s self-development under certain a priori constraints and external environments. The reconstruction builds on three sets of materials. The first is Herder’s famous prize essay on the origin of languages. The second includes Kant’s explicit remarks about language – especially his notion of “transcendental grammar,” his argument that (...) language cannot be innate, his contrast of “Oriental” symbolic (intuitive) and “Occidental” discursive languages, and his treatment of the latter as a sine qua non of humanity’s cultural and moral progress. The third includes the concepts that we need to make sense of those remarks, such as Kant’s epigenetic theory of biological formation and his account of categories as originally acquired. (shrink)

El objetivo de este artículo es presentar una demostración de un teorema clásico sobre álgebras booleanas y ordenes parciales de relevancia actual en teoría de conjuntos, como por ejemplo, para aplicaciones del método de construcción de modelos llamado “forcing” (con álgebras booleanas completas o con órdenes parciales). El teorema que se prueba es el siguiente: “Todo orden parcial se puede extender a una única álgebra booleana completa (salvo isomorfismo)”. Donde extender significa “sumergir densamente”. Tal demostración se realiza utilizando cortaduras de (...) Dedekind siguiendo el texto “Set Theory” de Jech, y otras ideas propias del autor de este artículo. Adicionalmente, se formulan algunas versiones débiles del axioma de elección relacionadas con las álgebras booleanas, las cuales son también de gran importancia para la investigación en teoría de conjuntos y teoría de modelos, pues estas son poderosas técnicas de construcción de modelos, como por ejemplo, el teorema de compacidad (permite construir modelos no estándar, etc) y el teorema del ultrafiltro, que permite construir ultraproductos (pueden ser usados para investigar problemas de cardinales grandes, etc). Se presentan algunas referencias de problemas abiertos sobre el tema. -/- The objective of this paper is to present a demonstration of a classical theorem on boolean algebras and partial orders of current relevance in set theory, as for example, for applications of model construction method called forcing" (with boolean algebras complete or with partial orders). The theorem to be proved is as follows: Any partial order can be extended to a single complete boolean algebra (up to isomorphism)". Where to extend means embed densely". Such a demonstration is done using Dedekind's cuts following the text Set Theory" of Jech, and other ideas of the author of this article. In addition, some weak versions of the axiom of choice related to boolean algebras are formulated, which are also of great importance for the research in set theory and model theory, since this are powerful model construction techniques, such as the compactness theorem (allows the construction of non-standard models, etc.) and the ultralter theorem, which allows the construction of ultraproducts (can be used to investigate problems of large cardinals, etc). Some references of open problems on the subject are presented. (shrink)

In the 1780s through the end of 1790s, Kant made various references to slavery (in its different forms) and the transatlantic slave trade in the context of his political philosophy or philosophy of right; he thereby had opportunities to speak in favor of abolitionism, which was gaining momentum in parts of Europe, or at least to articulate a normative critique of the race-based chattel slavery or Atlantic slavery and the associated slave trade qua (legalized) INSTITUTIONS; but he did neither. Why? (...) In raising and seeking an answer to this question, I am not interested in what Kant’s normative silence about the institutions of Atlantic slavery and slave trade may tell us about him as a person (for example, whether he was blinded by his own racist prejudices or whether he was affected by some kind of cognitive dissonance). Rather, I will focus on what it may tell us about certain limitations of his political philosophy, limitations that might have made it THEORETICALLY DIFFICULT for him to figure out exactly what to DO about those institutions as entrenched political realities. (shrink)

How does the critical Kant view ontology? There is no shared scholarly answer to this question. Norbert Hinske sees in the Critique of Pure Reason a “farewell to ontology,” albeit one that took Kant long to bid (Hinske 2009). Karl Ameriks has found evidence in Kant’s metaphysics lectures from the critical period that he “was unwilling to break away fully from traditional ontology” (Ameriks 1992: 272). Gualtiero Lorini argues that a decisive break with the tradition of ontology is essential to (...) Kant’s critical reform of metaphysics, as is reflected in his shift from “ontology” to “transcendental philosophy,” two notions that Lorini takes to be related by mere “analogy” (Lorini 2015). I agree with Lorini that a thorough reform of ontology is a pivotal part of Kant’s critical plan for metaphysics and that ontology somehow “survives within the critical philosophy” (Lorini 2015: 76). To make this case, however, I deem it important to identify “ontology” and “transcendental philosophy” in the sense of extensional equivalence. While we can detect this identification in Kant’s writings, only from his metaphysics lectures can we get a full sense of its historical and philosophical significance. In this chapter I focus on how it represents a definitive turn from as well as notable continuity with traditional treatments of ontology, particularly the Wolffian one. (shrink)

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)

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)

I defend the thesis that Kantian analytic judgments are about objects (as opposed to concepts) against two challenges raised by recent scholars. First, can it accommodate cases like “A two-sided polygon is two-sided”, where no object really falls under the subject-concept as Kant sees it? Second, is it compatible with Kant’s view that analytic judgments make no claims about objects in the world and that we can know them to be true without going beyond the given concepts? I address these (...) challenges in two steps. First, given Kant’s distinction between an object in general = x from an object of sensible intuition, I argue that analytic judgments are about objects in the former sense, no matter whether the purported objects can be given in our intuition. Second, using Kant’s method of representing certain logical relations of concepts with such figures as circles, I construct a model to show that analytic truths are truths about objects in general = x and yet can be determined solely by the intensional relation between the given concepts plus certain Kantian-logical laws. Analytic truths are thus shown as formal in the Kantian sense that they do not presuppose the purported objects as givable in our intuition. This account of the formality of analytic truths captures Kant’s diagnosis of the Leibnizian illusion that we can make material claims about the world by analytically true judgments. (shrink)

An essay on the compatibility of Jewish and Muslim aspirations for the Land that argues that a vision of peaceful coexistence to provide a spur to the settling of grievances, but that this vision must respect the deeply felt aspirations of both communities, including in particular those underpinned by religious lore. Existing formulations of the aims of each community are blatantly inconsistent; it is time to attempt to characterise the just and religiously authentic goals of each community in ways that (...) are compatible. I argue that there religious and personal dimensions of the conflict that have been displaced by less deep-seated political goals, but which can be addressed more readily. I outline a tiered constitutional settlement that could address legitimate aspirations by avoiding the anathema of partition. (shrink)

Kant ascribes two radically different kinds of language—symbolic or pictorial (qua intuitive) and discursive languages—to the “Oriental” and “Occidental” peoples respectively. By his analysis, having a merely symbolic language suggests that the “Orientals” lack understanding—and hence the ability to form concepts and think in abstracto—as well as genius and spirit. Meanwhile, he establishes discursive language as a sine qua non of the continued progress of humanity, primarily because only by means of words—as opposed to symbols—can one think (not just intuit), (...) signify one’s thoughts exactly, and make them universally communicable. Without such a language, one would not be able to make one’s feelings moral or develop a true moral character. In short, humanity would not be able to obtain its cultural or moral ends without discursive language. -/- These points add up to an exclusionary view of progress according to which the Occidental whites alone are equipped with the requisite discursive skills and other talents (including genius and spirit) to accomplish advanced culture and pursue humanity’s moral destiny. The “Orient,” with its “childish language,” is consigned to the childhood of humanity. In holding this view, Kant has departed from some of his predecessors—such as Leibniz, whose vision of the future of humanity includes an East-West harmony facilitated by a “universal symbolism,” and Rousseau, who exalts a livelier connection with the world mediated by a pictorial language. -/- The contrast with Leibniz and Rousseau also suggests that we cannot chalk up Kant’s exclusionary view of progress to mere personal prejudices. His philosophy is what gives meaning to his statements about the nature of the “Oriental” language. That is, the exclusionary view of progress emerges only when we take into account his anti-Leibnizian conceptualization of symbolic language as merely intuitive, his view that humanity is teleologically oriented toward the unique sort of moralization that he envisioned in the Groundwork, and his view that reason must lead the way in humanity’s progress toward this supposed moral end, wherefore only discursive language can facilitate such progress. (shrink)

Biologists explain organisms’ behavior not only as having been programmed by genes and shaped by natural selection, but also as the result of an organism’s agency: the capacity to react to environmental changes in goal-driven ways. The use of such ‘agential explanations’ reopens old questions about how justified it is to ascribe agency to entities like bacteria or plants that obviously lack rationality and even a nervous system. Is organismic agency genuinely ‘real’ or is it just a useful fiction? In (...) this paper we focus on two questions: whether agential explanations are to be interpreted ontically, and whether they can be reduced to non-agential explanations (thereby dispensing with agency). The Kantian approach we identify interprets agential explanations non-ontically, yet holds agency to be indispensable. Attributing agency to organisms is not to be taken literally in the way we attribute physical properties such as mass or acceleration, but nor is it a mere heuristic or predictive tool. Rather, it is an inevitable consequence of our own rational capacity: as long as we are rational agents ourselves, we cannot avoid seeing agency in organisms. (shrink)

Kant describes logic as “the science that exhaustively presents and strictly proves nothing but the formal rules of all thinking”. (Bviii-ix) But what is the source of our cognition of such rules (“logical cognition” for short)? He makes no concerted effort to address this question. It will nonetheless become clear that the question is a philosophically significant one for him, to which he can see three possible answers: those representations are innate, derived from experience, or originally acquired a priori. Although (...) he gives no explicit argument for the third answer, he seems committed to it—especially given his views on the source of pure concepts of the understanding and on the nature of logic. It takes careful preparatory work to gather all the essential materials for motivating and reconstructing Kant’s “original acquisition” account of logical cognition. I shall proceed in two sections. In section 1, I analyze Kant’s argument that pure concepts of the understanding (or intellectual concepts)—as one kind of pure cognition—must be acquired originally and a priori. My analysis partly concerns his varied attitudes toward Crusius’s and Leibniz’s versions of the nativist account of such concepts. I give special attention to how Kant characterizes the nativist account and his own “original acquisition” account in terms of “preformation” and “epigenesis”. My goal is, firstly, to tease out the sense in which Kant grants that there must be an innate ground (or preformation) for the derivation of pure concepts and, secondly, to introduce—and pave the way for answering—the question about the source of logical cognition. In section 2, in light of Kant’s reference to Locke and Leibniz as the greatest reformers of philosophy (including logic) in their times (Log, AA 9: 32), I examine the Lockean and Leibnizian approaches to logic, respectively. Both approaches are “physiological” by Kant’s standard and are directly opposed to his own strictly critical method. I explain how this methodological move shapes Kant’s view that representations of logical rules must be originally acquired a priori. This acquisition involves a kind of radical epigenesis of pure reason: unlike the acquisition of pure concepts, it presupposes no further innate ground (or preformation). This view will have important consequences for issues such as the ground of the normativity of logical rules and the boundaries of their rightful use. (shrink)

It is a received view that Kant’s formal logic (or what he calls “pure general logic”) is thoroughly intensional. On this view, even the notion of logical extension must be understood solely in terms of the concepts that are subordinate to a given concept. I grant that the subordination relation among concepts is an important theme in Kant’s logical doctrine of concepts. But I argue that it is both possible and important to ascribe to Kant an objectual notion of logical (...) extension according to which the extension of a concept is the multitude of objects falling under it. I begin by defending this ascription in response to three reasons that are commonly invoked against it. First, I explain that this ascription is compatible with Kant’s philosophical reflections on the nature and boundary of a formal logic. Second, I show that the objectual notion of extension I ascribe to Kant can be traced back to many of the early modern works of logic with which he was more or less familiar. Third, I argue that such a notion of extension makes perfect sense of a pivotal principle in Kant’s logic, namely the principle that the quantity of a concept’s extension is inversely proportional to that of its intension. In the process, I tease out two important features of the Kantian objectual notion of logical extension in terms of which it markedly differs from the modern one. First, on the modern notion the extension of a concept is the sum of the objects actually falling under it; on the Kantian notion, by contrast, the extension of a concept consists of the multitude of possible objects—not in the metaphysical sense of possibility, though—to which a concept applies in virtue of being a general representation. While the quantity of the former extension is finite, that of the latter is infinite—as is reflected in Kant’s use of a plane-geometrical figure (e.g., circle, square), which is continuum as opposed to discretum, to represent the extension in question. Second, on the modern notion of extension, a concept that signifies exactly one object has a one-member extension; on the Kantian notion, however, such a concept has no extension at all—for a concept is taken to have extension only if it signifies a multitude of things. This feature of logical extension is manifested in Kant’s claim that a singular concept (or a concept in its singular use) can, for lack of extension, be figuratively represented only by a point—as opposed to an extended figure like circle, which is reserved for a general concept (or a concept in its general use). Precisely on account of these two features, the Kantian objectual extension proves vital to Kant’s theory of logical quantification (in universal, particular and singular judgments, respectively) and to his view regarding the formal truth of analytic judgments. (shrink)

methods that have shown promise for improving extreme risk analysis, particularly for assessing the risks of invasive pests and pathogens associated with international trade. We describe the legally inspired regulatory regime for banks, where these methods have been brought to bear on extreme ‘operational risks’. We argue that an ‘advocacy model’ similar to that used in the Basel II compliance regime for bank operational risks and to a lesser extent in biosecurity import risk analyses is ideal for permitting the diversity (...) of relevant evidence about invasive species to be presented and soundly evaluated. We recommend that the process be enhanced in ways that enable invasion ecology to make more explicit use of the methods found successful.. (shrink)

The elimination of gatekeepers for scientific publication has been represented as a means to promote the core moral values of open science, including democratic decision-making and inclusiveness. I argue that this framing ignores the reality that gatekeeping is a way of structuring prestige hierarchies, and that without gatekeeping, some other structuring would be needed: the flattening of prestige hierarchies is not possible given scientists’ need to navigate information overload. I consider two potential restructurings of prestige hierarchies, one based on citation (...) count and the other on search algorithm rank. These are shown to simply reintroduce status biases and hierarchies in ways that either do not further the open science ideals of democracy and inclusiveness, or else involve some de facto gatekeeping. Gatekeeper elimination should not be thought of as an intrinsic part of the open science movement. In fact, insofar as gatekeeping is guided by professional ideals of impartiality and diligence, it can be thought of as an ally of open science values. (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)

_Groups in Conflict_ addresses the conflict and tensions that exist between impartiality and partiality in political philosophy, ordinary thought, and practice by setting theoretical arguments in the context of contemporary issues such as immigration and public policy. Donald Franklin asserts that two camps of ethicists—those concerned with political philosophy and those concerned with personal morality—have been ignoring the implications of inconsistency in their mutual approaches. Far more than just exposing these irreconcilable differences, Franklin also proposes the modifications necessary (...) to approach the nature of human equality. (shrink)

Comparative valuation of different policy interventions often requires interpersonal comparability of benefit. In the field of health economics, the metric commonly used for such comparison, quality adjusted life years (QALYs) gained, has been criticized for failing to respect the equality of all persons’ intrinsic worth, including particularly those with disabilities. A methodology is proposed that interprets ‘full quality of life’ as the best health prospect that is achievable for the particular individual within the relevant budget constraint. This calibration is challenging (...) both conceptually and operationally as it shifts dramatically when technology or budget developments alter what can be achieved for incapacitated individuals. The proposal nevertheless ensures that the maximal achievable satisfaction of one person’s preferences can carry no more intrinsic value than that of another. This approach, which can be applied to other domains of social valuation, thus prevents implicit discrimination against the elderly and those with irremediable incapacities. (shrink)

The success of precision medicine depends on obtaining large amounts of information about at-risk populations. However, getting consent is often difficult. Why? In this commentary I point to the differentials in social status involved. These differentials are inevitable once personal information is surrendered, but are particularly intense when the studied populations are socioeconomically or socioculturally disadvantaged and/or ethnically stigmatized groups. I suggest how the deep distrust of the latter groups can be partially justified as a lack of confidence that their (...) core values or interests will sufficiently be taken into account. Hence, the ethical challenge here lies not in avoiding status differentials, but in dealing with them appropriately. Scientists should not assume trust from others but adopt a norm of “demonstrating trustworthiness”. (shrink)

There is an exegetical quandary when it comes to interpreting Locke's relation to logic.On the one hand, over the last few decades a substantive amount of literature has been dedicated to explaining Locke's crucial role in the development of a new logic in the seventeenth and eighteenth centuries. John Yolton names this new logic the "logic of ideas," while James Buickerood calls it "facultative logic."1 Either way, Locke's Essay is supposedly its "most outspoken specimen" or "culmination."2 Call this reading the (...) 'New Logic interpretation.'On the other hand, from the typical standpoint of a philosopher accustomed to the modern conception of logic, whatever Locke—indeed, whatever most of the... (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)

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.

Background Professional communities such as the medical community are acutely concerned with negligence: the category of misconduct where a professional does not live up to the standards expected of a professional of similar qualifications. Since science is currently strengthening its structures of self-regulation in parallel to the professions, this raises the question to what extent the scientific community is concerned with negligence, and if not, whether it should be. By means of comparative analysis of medical and scientific codes of conduct, (...) we aim to highlight the role of negligence provisions in codes of conduct for scientists, and to discuss the normative consequences for future codes of conduct. -/- Methods We collected scientific and medical codes of conduct in a selection of OECD countries, and submitted each code of conduct to comparative textual analysis. -/- Results Negligence is invariably listed as an infraction of the norms of integrity in medical codes of conduct, but only rarely so in the scientific codes. When the latter list negligence, they typically do not provide any detail on the meaning of ‘negligence’. -/- Discussion Unlike codes of conduct for professionals, current codes of conduct for scientists are largely silent on the issue of negligence, or explicitly exclude negligence as a type of misconduct. In the few cases where negligence is stipulated to constitute misconduct, no responsibilities are identified that would help prevent negligence. While we caution against unreasonable negligence provisions as well as disproportionate sanctioning systems, we do argue that negligence provisions are crucial for justified trust in the scientific community, and hence that there is a very strong rationale for including negligence provisions in codes of conduct. (shrink)

John Venn has the “uneasy suspicion” that the stagnation in mathematical logic between J. H. Lambert and George Boole was due to Kant’s “disastrous effect on logical method,” namely the “strictest preservation [of logic] from mathematical encroachment.” Kant’s actual position is more nuanced, however. In this chapter, I tease out the nuances by examining his use of Leonhard Euler’s circles and comparing it with Euler’s own use. I do so in light of the developments in logical calculus from G. W. (...) Leibniz to Lambert and Gottfried Ploucquet. While Kant is evidently open to using mathematical tools in logic, his main concern is to clarify what mathematical tools can be used to achieve. For without such clarification, all efforts at introducing mathematical tools into logic would be blind if not complete waste of time. In the end, Kant would stress, the means provided by formal logic at best help us to express and order what we already know in some sense. No matter how much mathematical notations may enhance the precision of this function of formal logic, it does not change the fact that no truths can, strictly speaking, be revealed or established by means of those notations. (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 argument is that (1) the spiritual crisis that Zhu Xi discussed with Zhang Shi 張栻 (1133–1180) and the other “gentlemen of Hunan” from about 1167 to 1169, which was resolved by an understanding of what we might call the interpenetration of the mind’s stillness and activity (dong-jing 動靜) or equilibrium and harmony (zhong-he 中和), (2) led directly to his realization that Zhou Dunyi’s thought provided a cosmological basis for that resolution, and (3) this in turn led Zhu Xi to (...) understand (or construct) the meaning of taiji in terms of the polarity of yin and yang; i.e. the Supreme Polarity as the most fundamental ordering principle (li 理). (shrink)

Philosophical discussions of species have focused on multicellular, sexual animals and have often neglected to consider unicellular organisms like bacteria. This article begins to fill this gap by considering what species concepts, if any, apply neatly to the bacterial world. First, I argue that the biological species concept cannot be applied to bacteria because of the variable rates of genetic transfer between populations, depending in part on which gene type is prioritized. Second, I present a critique of phylogenetic bacterial species, (...) arguing that phylogenetic bacterial classification requires a questionable metaphysical commitment to the existence of essential genes. I conclude by considering how microbiologists have dealt with these biological complexities by using more pragmatic and not exclusively evolutionary accounts of species. I argue that this pragmatism is not borne of laziness but rather of the substantial conceptual problems in classifying bacteria based on any evolutionary standard. (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)

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)

The Pigou-Dalton (PD) principle recommends a non-leaky, non-rank-switching transfer of goods from someone with more goods to someone with less. This Article defends the PD principle as an aspect of distributive justice—enabling the comparison of two distributions, neither completely equal, as more or less just. It shows how the PD principle flows from a particular view, adumbrated by Thomas Nagel, about the grounding of distributive justice in individuals’ “claims.” And it criticizes two competing frameworks for thinking about justice that less (...) clearly support the principle: the veil-of-ignorance framework, and Larry Temkin’s proposal that fairer distributions are those concerning which individuals have fewer “complaints.” -/- The Article also clarifies the relation between the PD principle and prioritarianism. Prioritarians will surely endorse the PD principle (with the “good” individual well-being), but they are also committed to a distinct axiom of separability: the moral value of someone’s well-being change does not depend upon her position relative to others. The PD principle neither implies separability, nor is implied by it. Although prioritarianism is very plausible, the case for the PD principle is yet more compelling than for the combination of that principle with separability. In discussing prioritarianism, we should differentiate between these two, logically independent aspects of the view. -/- . (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)

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)

The deduction of categories in the 1781 edition of the Critique of the Pure Reason (A Deduction) has “two sides”—the “objective deduction” and the “subjective deduction”. Kant seems ambivalent about the latter deduction. I treat it as a significant episode of Kant’s thinking about categories that extended from the early 1770s to around 1790. It contains his most detailed answer to the question about the origin of categories that he formulated in the 1772 letter to Marcus Herz. The answer is (...) that categories are generated a priori through a kind of intellectual “epigenesis”. This account leaves unexplained why precisely such and such categories should be generated. While this observation caused Kant to worry about the hypothetical status of the subjective deduction in 1781, he would come to acquiesce in the recognition that the ground of the possibility of categories is itself inscrutable. I call this his “methodological skepticism”. (shrink)

This paper examines Du Châtelet’s and Kant’s responses to the famous vis viva controversy – Du Châtelet in her Institutions Physiques (1742) and Kant in his debut, the Thoughts on the True Estimation of Living Forces (1746–49). The Institutions was not only a highly influential contribution to the vis viva controversy, but also a pioneering attempt to integrate Leibnizian metaphysics and Newtonian physics. The young Kant’s evident knowledge of this work has led some to speculate about his indebtedness to her (...) philosophy. My study corrects such speculations as well as misunderstandings of the Living Forces. This corrective result has implications for how to investigate Kant’s relation to the ever-evolving landscape of Leibniz exegeses. (shrink)

A presentation and discussion of Gottlob Frege's understanding of language, both natural and artificial, with close attention to his texts.

The debate on enhancement ethics cannot escape some of the deeper questions troubling the concept of personhood. That is, in a sentence, my reading of Robert Sparrow’s target article (Sparrow 2022)...

The logical interpretation of probability, or "objective Bayesianism'' – the theory that (some) probabilities are strictly logical degrees of partial implication – is defended. The main argument against it is that it requires the assignment of prior probabilities, and that any attempt to determine them by symmetry via a "principle of insufficient reason" inevitably leads to paradox. Three replies are advanced: that priors are imprecise or of little weight, so that disagreement about them does not matter, within limits; that it (...) is possible to distinguish reasonable from unreasonable priors on logical grounds; and that in real cases disagreement about priors can usually be explained by differences in the background information. It is argued also that proponents of alternative conceptions of probability, such as frequentists, Bayesians and Popperians, are unable to avoid committing themselves to the basic principles of logical probability. (shrink)

Experiences of enlightened unity with Nature or with Deity are reported not only in the mystical literature of the past but also in contemporary accounts of the psychedelic adventurer. In Chapter 13, Peter Sjöstedt-Hughes seeks to fathom such reported states within the framework of the metaphysics of Benedict de Spinoza – a metaphysics encompassing monism, pantheism, panpsychism, and the eternal substance: the timelessness of pure Nature, God itself. God is Nature for Spinoza. To achieve this framework, the tenets of Spinozism (...) are explicated with a culmination in the Intellectual Love of God, amor Dei intellectualis, where the finite mind and infinite intellect of Nature unite. Sjöstedt-Hughes then provides a phenomenological account of the unitive states occasioned by certain psychedelic substances, notably the ever-so potent 5-MeO-DMT, comparing these phenomenological elements to the ontological aspects of Spinozism. This comparative analysis will proffer a Spinozan-Psychedelic symbiosis: that certain psychedelic states can be understood through the Spinozan system, and that the Spinozan system can be intuited through certain psychedelic states – a blinding flash of Spinozism that can change one’s relation to oneself and to Nature itself. (shrink)

Claims that our species is an “evolutionary success” typically do not feature prominently in academic articles. However, they do seem to be a recurring trope in science popularization. Why do we seem to be attracted to viewing human evolution through the lense of “success”? In this chapter we discuss how evolutionary success has both causal-descriptive and ethical-normative components, and how its ethical status is ambiguous, with possible hints of anthropocentrism. We also place the concept of “success” in a wider context (...) of biological thought, contrasting it with two other value-laden concepts: evolutionary progress and human uniqueness. Claiming the human species to be an evolutionary success is ostensibly grounded in metrics such as the dominance or the size of the human population, but often goes beyond this, suggesting that humans are a unique species or the pinnacle of evolutionary progress. (shrink)