Critical Metaphysics in the Views of Otto Liebmann and Johannes Volkelt
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Academic Genealogy of George Em Karniadakis
Nilos Kabasilas Demetrios Kydones Elissaeus Judaeus Manuel Chrysoloras Georgios Plethon Gemistos 1380, 1393 Basilios Bessarion 1436 Mystras Guarino da Verona Johannes Argyropoulos 1408 1444 Università di Padova Vittorino da Feltre Cristoforo Landino Marsilio Ficino 1416 Università di Padova 1462 Università di Firenze Ognibene (Omnibonus Leonicenus) Bonisoli da Lonigo Theodoros Gazes Angelo Poliziano Università di Mantova 1433 Constantinople / Università di Mantova 1477 Università di Firenze Leo Outers Alessandro Sermoneta Gaetano da Thiene Moses Perez Scipione Fortiguerra Demetrios Chalcocondyles Jacob ben Jehiel Loans Rudolf Agricola Thomas à Kempis Heinrich von Langenstein 1485 Université Catholique de Louvain 1493 Università di Firenze 1452 Mystras / Accademia Romana 1478 Università degli Studi di Ferrara 1363, 1375 Université de Paris Maarten (Martinus Dorpius) van Dorp Pelope Pietro Roccabonella Nicoletto Vernia François Dubois Jean Tagault Girolamo (Hieronymus Aleander) Aleandro Janus Lascaris Matthaeus Adrianus Johann (Johannes Kapnion) Reuchlin Jan Standonck Alexander Hegius Johannes von Gmunden 1504, 1515 Université Catholique de Louvain Università di Padova Università di Padova 1516 Université de Paris 1499, 1508 Università di Padova 1472 Università di Padova 1477, 1481 Universität Basel / Université de Poitiers 1474, 1490 Collège Sainte-Barbe / Collège de Montaigu 1474 1406 Universität Wien Niccolò Leoniceno Jacobus (Jacques Masson) Latomus Desiderius Erasmus Petrus (Pieter de Corte) Curtius Pietro Pomponazzi Jacobus (Jacques -
Epistemic Truth and Excluded Middle* Cesare Cozzo Abstract
Penultimate draft of a paper published in in Theoria, a Swedish journal of philosophy, LXIV 2-3, Thales, Stockholm 1998, pp. 243-282. Epistemic truth and excluded middle* Cesare Cozzo Università di Roma ”La Sapienza” Dipartimento di studi filosofici ed epistemologici email: [email protected] Abstract: Can an epistemic conception of truth and an endorsement of the excluded middle (together with other principles of classical logic abandoned by the intuitionists) cohabit in a plausible philosophical view? In PART I I describe the general problem concerning the relation between the epistemic conception of truth and the principle of excluded middle. In PART II I give a historical overview of different attitudes regarding the problem. In PART III I sketch a possible holistic solution. Part I The Problem §1. The epistemic conception of truth. The epistemic conception of truth can be formulated in many ways. But the basic idea is that truth is explained in terms of epistemic notions, like experience, argument, proof, knowledge, etc. One way of formulating this idea is by saying that truth and knowability coincide, i.e. for every statement S i) it is true that S if, and only if, it is (in principle) possible to know that S. Knowledge that S can be equated with possession of a correct (or ideal) finite argument for S in an optimal (or ideal) epistemic situation. For example, mathematical knowledge can be equated with possession of a proof of a mathematical statement. But the notion of ideal argument should be wider than the notion of proof: for empirical statements like “strawberries contain sugar” an ideal argument should contain also some sensory evidence. -
Heinrich Rommen, the Natural Law: a Study in Legal and Social History and Philosophy (1936)
Rommen_0017 09/15/2005 09:46 AM THE ONLINE LIBRARY OF LIBERTY © Liberty Fund, Inc. 2005 http://oll.libertyfund.org/Home3/index.php HEINRICH ROMMEN, THE NATURAL LAW: A STUDY IN LEGAL AND SOCIAL HISTORY AND PHILOSOPHY (1936) URL of this E-Book: http://oll.libertyfund.org/EBooks/Rommen_0017.pdf URL of original HTML file: http://oll.libertyfund.org/Home3/HTML.php?recordID=0017 ABOUT THE AUTHOR Heinrich Rommen was a Catholic German lawyer who practised in Germany during the Weimar Republic before fleeing to the United States in 1938. He taught in Germany and England before concluding his distinguished scholarly career at Georgetown University. ABOUT THE BOOK Originally published in German in 1936, The Natural Law is the first work to clarify the differences between traditional natural law as represented in the writings of Cicero, Aquinas, and Hooker and the revolutionary doctrines of natural rights espoused by Hobbes, Locke, and Rousseau. Beginning with the legacies of Greek and Roman life and thought, Rommen traces the natural law tradition to its displacement by legal positivism and concludes with what the author calls "the reappearance" of natural law thought in more recent times. In seven chapters each Rommen explores "The History of the Idea of Natural Law" and "The Philosophy and Content of the Natural Law." In his introduction, Russell Hittinger places Rommen’s work in the context of contemporary debate on the relevance of natural law to philosophical inquiry and constitutional interpretation. THE EDITION USED The Natural Law: A Study in Legal and Social History and Philosophy, trans. Thomas R. -
Philosophy of Modeling in the 1870S: a Tribute to Hans Vaihinger
Baltic J. Modern Computing, Vol. 9 (2021), No. 1, pp. 67–110 https://doi.org/10.22364/bjmc.2021.9.1.05 Philosophy of Modeling in the 1870s: A Tribute to Hans Vaihinger Karlis Podnieks Faculty of Computing, University of Latvia 19 Raina Blvd., Riga, LV-1586, Latvia [email protected] Abstract. This paper contains a detailed exposition and analysis of The Philosophy of “As If“ proposed by Hans Vaihinger in his book published in 1911. However, the principal chapters of the book (Part I) reproduce Vaihinger’s Habilitationsschrift, which was written during the autumn and winter of 1876. Part I is extended by Part II based on texts written during 1877–1878, when Vaihinger began preparing the book. The project was interrupted, resuming only in the 1900s. My conclusion is based exclusively on the texts written in 1876-1878: Vaihinger was, decades ahead of the time, a philosopher of modeling in the modern sense – a brilliant achievement for the 1870s! And, in the demystification of such principal aspects of cognition as truth, understanding and causality, is he not still ahead of many of us? According to Vaihinger, what we set beyond sensations is our invention (fiction), the correspondence of which with reality cannot (and need not) be verified in the mystical, absolute sense many people expect. Keywords: fictionalism, fiction, hypothesis, dogma, sensations, reality, truth, understanding, modeling 1 Introduction “Aller Dogmatismus ist hier verschwunden,“ according to Simon et al. (2013). I suspect that by saying this regarding his book, Hans Vaihinger meant, in fact, that if people would adopt his Philosophie des Als Ob, most of traditional philosophy would become obsolete. -
Deciding the Undecidable: Wrestling with Hilbert's Problems
Deciding the Undecidable: Wrestling with Hilbert’s Problems Solomon Feferman∗ In the year 1900, the German mathematician David Hilbert gave a dramatic address in Paris, at the meeting of the 2nd International Congress of Mathematicians—an address which was to have lasting fame and importance. Hilbert was at that point a rapidly rising star, if not superstar, in mathematics, and before long he was to be ranked with Henri Poincar´eas one of the two greatest and most influential mathematicians of the era. Like Poincar´e, Hilbert worked in an exceptional variety of areas. He had already made fundamental contributions to algebra, number theory, geometry and analysis. After 1900 he would expand his researches further in analysis, then move on to mathematical physics and finally turn to mathematical logic. In his work, Hilbert demonstrated an unusual combination of direct intuition and concern for absolute rigor. With exceptional technical power at his command, he would tackle outstanding problems, usually with great originality of approach. The title of Hilbert’s lecture in Paris was simply, “Mathematical Problems”. In it he emphasized the importance of taking on challenging problems for maintaining the progress and vitality of mathematics. And with this, he expressed a remarkable conviction in the solvability of all mathematical problems, which he even called an axiom. To quote from his lecture: Is the axiom of the solvability of every problem a peculiar characteristic of math- ematical thought alone, or is it possibly a general law inherent in the nature of the mind, that all questions which it asks must be answerable?...This convic- tion of the solvability of every mathematical problem is a powerful incentive to the worker. -
¿Ignoramus Et Ignorabimus?
¿Ignoramus et ignorabimus? Carlos TORRES ALC A R A Z En agosto de 1900 David Hilbert dictó una conferencia ante el pleno del Segundo Congreso Internacional de Matemáticas celebrado en la ciudad de París. El título de la misma era muy simple: “Problemas matemáticos”, un tema apropiado para el cambio de siglo.1 En ella, Hilbert emprendió la defensa de una convicción que le acompañó durante toda su vida: que todo problema matemático es susceptible de una solución exacta. Éste fue el punto de partida de sus subsecuentes reflexiones acerca del futuro de las matemáticas. Hilbert había pensado en esta cuestión durante mucho tiempo. Antes del Congre- so dudó entre abordar este tema o la relación entre las matemáticas y la física, un pun- to que Poincaré había contemplado tres años atrás. Su decisión final la tomó con base en una sugerencia de Minkowski: “sería más atractivo mirar hacia el futuro, enumerando una lista de problemas en los que los matemáticos habrían de ponerse a prueba durante el siglo venidero”.2 Se trata quizá de la conferencia más renombrada en la historia de las matemáticas. Tras precisar las exigencias que toda buena solución debe satisfacer, en la parte final presentó y analizó su famosa lista de 23 problemas individuales cuya resolución, pensaba, contribuiría al avance de las matemáticas en el siglo XX .3 La convicción de Hilbert En un encendido pasaje, Hilbert parte de la sugerencia de Minkowski para adentrarse en nuestro anhelo por anticipar el futuro: 1 David Hilbert, “Mathematical Problems” (trad. de Mary Winston Newson), en Proceedings of Symposia in Pure Mathematics, vol. -
Propositional Logic
Lecture 1 — Propositional Logic Ondrejˇ Lengal´ Faculty of Information Technology Brno University of Technology IAM’19 Logic What is (formal) logic? Logic can be considered as a branch of mathematics that studies universal principles of correct reasoning in various formal systems. “[Logic is] . the name of a discipline that analyzes the mean- ing of the concepts common to all the sciences, and estab- lishes the general laws governing the concepts.” —Alfred Tarski “To discover truths is the task of all sciences; it falls to logic to discern the laws of truth. I assign to logic the task of discovering the laws of truth, not of assertion or thought.” —Gottlob Frege Lecture 1 Propositional Logic IAM’19 2 / 47 A Brief History of Logic pre-Aristotle Zeno of Elea (490–430 BCE) I paradoxes: Achilles and the tortoise, arrow paradox, . I reductio ad absurdum = proof by contradiction Euclid (325–270 BCE) I (Elements—geometry) proofs follow axioms in a formal way I (as opposed to empirical methods) Socrates, Plato, Parmenides, . Liar Paradox (Eubulides) This statement is false. Lecture 1 Propositional Logic IAM’19 3 / 47 A Brief History of Logic Aristotle (384–322 BCE) The Father of Logic Organon: works on logic formal term logic (predec. of predicate logic) syllogisms to infer conclusions: Example (Modus Barbara) Example (Modus Calemes) All men are mortal. All men are mortal. Socrates is a man. Elvis is immortal. ) Socrates is mortal. ) Elvis is not a man. Lecture 1 Propositional Logic IAM’19 4 / 47 A Brief History of Logic Gottfried Wilhelm Leibniz -
Portada Revista.Cdr
www.eikasia.es 43 La selección de originales para publicación, se someten de manera sistemática a un in- forme de expertos externos a la entidad editora de la revista y a su consejo de editorial. Estos informes son la base de la toma de decisiones sobre su publicación o no, que co- rresponde en última instancia al Consejo de Redacción de la revista y a la Dirección de la misma. BASES DE DATOS QUE RECOGEN LA REVISTA EIKASIA BIBLIOTEQUE NATIONALE DE FRANCE número 43 marzo 2012 Fran F. Yebra Fernando Miguel Pérez Herranz | La perspectiva «natural» de André Le Nôtre en los Jardines de Vaux le Viconte. Nota editorial . La perspectiva «natural» de André Le Nôtre en los Jardines de Vaux le Viconte. Nota editorial. Fernando Miguel Pérez Herranz Universidad de Alicante El Círculo de Filosofía de la Naturaleza (CFN) continúa su andadura y muestra sus investigaciones y reflexiones una vez más en esta revista, EIKASÍA, que las acoge con gran generosidad, lo que agradecen los miembros del Círculo en cuantas ocasiones se les presentan. En este número se reúnen las ponencias que expusieron algunos de sus miembros en la Universidad Panamericana de México durante los días 14 a 16 de abril de 2011. No es cómodo defender en estos tiempos una Filosofía de la Naturaleza, inmovilizada por la tenaza universitaria que conforman el neopositivismo cientificista y el posmodernismo sociologicista. Cientificistas y neopositivistas vienen desterrando la idea de Naturaleza desde el siglo XIX, embriagados por el espectacular desarrollo de las ciencias tanto en el plano teórico como en el de sus aplicaciones: el electromagnetismo y los motores o el radar; la química y la dinamita o los fertilizantes; etc. -
The Classicist President
the Classicist President Book Review: by Susan Ford Wiltshire The Penelopiad by Matthew Clark n September 20, 1863, the last Oday of the Battle of Chickamau- Margaret Atwood. The Penelopiad: The ga, a thirty-one-year-old Myth of Penelope and Odysseus. Alfred A. brigadier general from Ohio – already a Knopf, Canada (http://www.random- classics professor, college president, and house.ca), 2005. Pp. xv, 199. Hardcover newly elected to the U. S. Congress – left the retreat of Union General William $17.95. ISBN 0-676-97418-X. S. Rosecrans, whom he served as mili- tary chief of staff, and rode under heavy argaret Atwood’s The Penelopiad: fire to the side of General George H. MThe Myth of Penelope and Odysseus Thomas, still standing his ground against is one volume in a series of retellings of the Confederate troops on another front. The professor’s detailed battle reports to myths from around the world by various Thomas strengthened Thomas’ resolve modern authors. Thirty-one publishers are to fight on and helped save the Union participating in the project; other writers Army of the Cumberland. In time, the contracted to produce versions include professor’s action that day helped take Chinua Achebe, Donna Tartt, and A. S. Fig. 1. James A. Garfield, major general him all the way to the White House. Byatt; Karen Armstrong has written a gen- James Abram Garfield, the only pro- in the Union Army during the Civil War, fessional classicist ever to serve as Presi- 1862. eral account of myth (A Short History of dent of the United States, was born in a Garfield had little more to learn from the Myth, 2005) to accompany the series as a log cabin in northern Ohio on Novem- resources of Hiram and began to teach whole. -
Om Positivisme Og Objektivisme I Samfunds Videnskaberne1
Nikolaj Nottelmann Om positivisme og objektivisme i samfunds- videnskaberne1 »Positivisme« hører til de mest kontroversielle og mangetydige termer i moderne debatter om samfundsvidenskabelig metode. Bredt anvendte læ- rebøger er på én gang ofte uklare og voldsomt indbyrdes uenige angående positivismens metafysiske, erkendelsmæssige og ideologiske forpligtelser. Denne artikel leverer en receptionshistorisk behandling af positivismen fra dens dobbelte udspring i det 19. århundredes franske og tyske filosofi frem til i dag. Hermed kortlægges en række væsentlige historiske omforståelser og misforståelser som baggrund for nutidens begrebsforvirring. Det påvises efterfølgende, at forskellige positivistiske retningers forhold til videnskabe- lig objektivisme er en temmelig kompleks og varieret affære. Det er således ufrugtbart at behandle samfundsvidenskabelig positivisme og objektivisme under ét, sådan som det ofte gøres. Positivisme; Objektivisme; Fænomenalisme; Logisk Empirisme; Kritisk Teori DANSK SOCIOLOGI • Nr. 3/28. årg. 2017 9 Indledning Meget taler for, at samfundsvidenskaberne længe har befundet sig i en post- positivistisk epoke; en tid, hvor hverken disse discipliners dominerende me- toder eller toneangivende metodelære længere falder ind under »positivis- men« (jeg vil i denne artikel sætte »positivisme« i anførselstegn, hver gang termen bruges bredt og uforpligtende som her. En mere præcis terminologi indføres nedenfor). Der er således i dag meget langt mellem aktive sociologer, som åbent bekender sig til en form for »positivisme«.2 -
A Finitist's Manifesto: Do We Need to Reformulate the Foundations Of
A Finitist’s Manifesto: Do we need to Reformulate the Foundations of Mathematics? Jonathan Lenchner 1 The Problem There is a problem with the foundations of classical mathematics, and potentially even with the foundations of computer science, that mathematicians have by-and-large ignored. This essay is a call for practicing mathematicians who have been sleep-walking in their infinitary mathematical paradise to take heed. Much of mathematics relies upon either (i) the “existence” of objects that contain an infinite number of elements, (ii) our ability, “in theory”, to compute with an arbitrary level of precision, or (iii) our ability, “in theory”, to compute for an arbitrarily large number of time steps. All of calculus relies on the notion of a limit. The monumental results of real and complex analysis rely on a seamless notion of the “continuum” of real numbers, which extends in the plane to the complex numbers and gives us, among other things, “rigorous” definitions of continuity, the derivative, various different integrals, as well as the fundamental theorems of calculus and of algebra – the former of which says that the derivative and integral can be viewed as inverse operations, and the latter of which says that every polynomial over C has a complex root. This essay is an inquiry into whether there is any way to assign meaning to the notions of “existence” and “in theory” in (i) to (iii) above. On the one hand, we know from quantum mechanics that making arbitrarily precise measure- ments of objects is impossible. By the Heisenberg Uncertainty Principle the moment we pin down an object, typically an elementary particle, in space, thereby bringing its velocity, and hence mo- mentum, down to near 0, there is a limit to how precisely we can measure its spatial coordinates. -
0405 Kleeberg
Working Papers on The Nature of Evidence: How Well Do ‘Facts’ Travel? No. 04/05 Moral Facts and Scientific Fiction: 19th Century Theological Reactions to Darwinism in Germany Bernhard Kleeberg © Bernhard Kleeberg Max Planck Institute for the History of Science, Berlin Visiting Scholar to LSE January-Jul 2005 August 2005 “The Nature of Evidence: How Well Do ‘Facts’ Travel?” is funded by The Leverhulme Trust and the ESRC at the Department of Economic History, London School of Economics. For further details about this project and additional copies of this, and other papers in the series, go to: http://www.lse.ac.uk/collection/economichistory/ Series Editor: Dr. Jonathan Adams Department of Economic History London School of Economics Houghton Street London, WC2A 2AE Tel: +44 (0) 20 7955 6727 Fax: +44 (0) 20 7955 7730 Moral Facts and Scientific Fiction: 19th Century Theological 1 Reactions to Darwinism in Germany Bernhard Kleeberg Abstract When the German translation of Darwin’s On the Origin of Species was published in 1860, it intensified a conflict that German theologians had been fighting since the early 19th century. Arguments against the secular relativising or even thorough dismissal of the scientific, philosophical and social importance of the bible now had to be supplemented with arguments against the anti-teleological consequences of Darwin’s theory. But though they all agreed in rejecting these consequences, German theologians considerably differed in respect to the epistemological status they granted to Darwinian and biblical accounts of man and nature. Whether they considered the truths of science and religion as corresponding, complementary, independent, or incompatible depended on their judgments on the relation between (scientific) facts, theories, and (cultural) convictions.