The Stream of Consciousness and the Epochal Theory of Time
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Philosophy of Science and Philosophy of Chemistry
Philosophy of Science and Philosophy of Chemistry Jaap van Brakel Abstract: In this paper I assess the relation between philosophy of chemistry and (general) philosophy of science, focusing on those themes in the philoso- phy of chemistry that may bring about major revisions or extensions of cur- rent philosophy of science. Three themes can claim to make a unique contri- bution to philosophy of science: first, the variety of materials in the (natural and artificial) world; second, extending the world by making new stuff; and, third, specific features of the relations between chemistry and physics. Keywords : philosophy of science, philosophy of chemistry, interdiscourse relations, making stuff, variety of substances . 1. Introduction Chemistry is unique and distinguishes itself from all other sciences, with respect to three broad issues: • A (variety of) stuff perspective, requiring conceptual analysis of the notion of stuff or material (Sections 4 and 5). • A making stuff perspective: the transformation of stuff by chemical reaction or phase transition (Section 6). • The pivotal role of the relations between chemistry and physics in connection with the question how everything fits together (Section 7). All themes in the philosophy of chemistry can be classified in one of these three clusters or make contributions to general philosophy of science that, as yet , are not particularly different from similar contributions from other sci- ences (Section 3). I do not exclude the possibility of there being more than three clusters of philosophical issues unique to philosophy of chemistry, but I am not aware of any as yet. Moreover, highlighting the issues discussed in Sections 5-7 does not mean that issues reviewed in Section 3 are less im- portant in revising the philosophy of science. -
Achievements and Fallacies in Hume's Account of Infinite
-1- ACHIEVEMENTS AND FALLACIES IN HUME’S ACCOUNT OF INFINITE DIVISIBILITY James Franklin Hume Studies 20 (1994): 85-101 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 believedthat space and time do not consist of atoms, but that anypiece of space and time of non-zero size, howeversmall, can itself be divided into still smaller parts. This assumption is included in geometry,asinEuclid, and also in the Euclidean and non- Euclidean geometries used in modern physics. Of the fewwho have denied that space and time are infinitely divisible, the most notable are the ancient atomists, and Berkeleyand Hume. All of these assert not only that space and time might be atomic, but that theymust be. Infinite divisibility is, theysay, impossible on purely conceptual grounds. In the hundred years or so before Hume’s Tr eatise, there were occasional treatments of the matter,in places such as the Port Royal Logic, and Isaac Barrow’smathematical lectures of the 1660’s, 1 Theydonot add anything substantial to medievaltreatments of the same topic. 2 Mathematicians certainly did not take seriously the possibility that space and time might be atomic; Pascal, for example, instances the Chevalier de Me´re´’s belief in atomic space as proof of his total incompetence in mathematics. 3 The problem acquired amore philosophical cast when Bayle, in his Dictionary, tried to showthat both the assertion and the denial of the infinite divisibility of space led to contradictions; the problem thus appears as a general challenge to "Reason". -
INTUITION .THE PHILOSOPHY of HENRI BERGSON By
THE RHYTHM OF PHILOSOPHY: INTUITION ·ANI? PHILOSO~IDC METHOD IN .THE PHILOSOPHY OF HENRI BERGSON By CAROLE TABOR FlSHER Bachelor Of Arts Taylor University Upland, Indiana .. 1983 Submitted ~o the Faculty of the Graduate College of the · Oklahoma State University in partial fulfi11ment of the requirements for . the Degree of . Master of Arts May, 1990 Oklahoma State. Univ. Library THE RHY1HM OF PlllLOSOPHY: INTUITION ' AND PfnLoSOPlllC METHOD IN .THE PHILOSOPHY OF HENRI BERGSON Thesis Approved: vt4;;. e ·~lu .. ·~ests AdVIsor /l4.t--OZ. ·~ ,£__ '', 13~6350' ii · ,. PREFACE The writing of this thesis has bee~ a tiring, enjoyable, :Qustrating and challenging experience. M.,Bergson has introduced me to ·a whole new way of doing . philosophy which has put vitality into the process. I have caught a Bergson bug. His vision of a collaboration of philosophers using his intuitional m~thod to correct, each others' work and patiently compile a body of philosophic know: ledge is inspiring. I hope I have done him justice in my description of that vision. If I have succeeded and that vision catches your imagination I hope you Will make the effort to apply it. Please let me know of your effort, your successes and your failures. With the current challenges to rationalist epistemology, I believe the time has come to give Bergson's method a try. My discovery of Bergson is. the culmination of a development of my thought, one that started long before I began my work at Oklahoma State. However, there are some people there who deserv~. special thanks for awakening me from my ' "''' analytic slumber. -
Continuity Properties and Infinite Divisibility of Stationary Distributions
The Annals of Probability 2009, Vol. 37, No. 1, 250–274 DOI: 10.1214/08-AOP402 c Institute of Mathematical Statistics, 2009 CONTINUITY PROPERTIES AND INFINITE DIVISIBILITY OF STATIONARY DISTRIBUTIONS OF SOME GENERALIZED ORNSTEIN–UHLENBECK PROCESSES By Alexander Lindner and Ken-iti Sato Technische Universit¨at of Braunschweig and Hachiman-yama, Nagoya ∞ −Nt− Properties of the law µ of the integral R0 c dYt are studied, where c> 1 and {(Nt,Yt),t ≥ 0} is a bivariate L´evy process such that {Nt} and {Yt} are Poisson processes with parameters a and b, respectively. This is the stationary distribution of some generalized Ornstein–Uhlenbeck process. The law µ is parametrized by c, q and r, where p = 1 − q − r, q, and r are the normalized L´evy measure of {(Nt,Yt)} at the points (1, 0), (0, 1) and (1, 1), respectively. It is shown that, under the condition that p> 0 and q > 0, µc,q,r is infinitely divisible if and only if r ≤ pq. The infinite divisibility of the symmetrization of µ is also characterized. The law µ is either continuous-singular or absolutely continuous, unless r = 1. It is shown that if c is in the set of Pisot–Vijayaraghavan numbers, which includes all integers bigger than 1, then µ is continuous-singular under the condition q> 0. On the other hand, for Lebesgue almost every c> 1, there are positive constants C1 and C2 such that µ is absolutely continuous whenever q ≥ C1p ≥ C2r. For any c> 1 there is a positive constant C3 such that µ is continuous-singular whenever q> 0 and max{q,r}≤ C3p. -
On Theodorus' Lesson in the Theaetetus 147D-E by S
On Theodorus’ lesson in the Theaetetus 147d-e by S. Negrepontis and G. Tassopoulos In the celebrated Theaetetus 147d3-e1 passage Theodorus is giving a lesson to Theaetetus and his companion, proving certain quadratic incommensurabilities. The dominant view on this passage, expressed independently by H. Cherniss and M. Burnyeat, is that Plato has no interest to, and does not, inform the reader about Theodorus’ method of incommensurability proofs employed in his lesson, and that, therefore, there is no way to decide from the Platonic text, our sole information on the lesson, whether the method is anthyphairetic as Zeuthen, Becker, van der Waerden suggest, or not anthyphairetic as Hardy-Wright, Knorr maintain. Knorr even claims that it would be impossible for Theodorus to possess a rigorous proof of Proposition X.2 of the Elements, necessary for an anthyphairetic method, because of the reliance of the proof of this Proposition, in the Elements, on Eudoxus principle. But it is not difficult to see that Knorr’s claim is undermined by the fact that an elementary proof of Proposition X.2, in no way involving Eudoxus principle, is readily obtained either from the proof of Proposition X.3 of the Elements itself (which is contrapositive and thus logically equivalent to X.2), or from an ancient argument going back to the originator of the theory of proportion reported by Aristotle in the Topics 158a-159b passage. The main part of the paper is devoted to a discussion of the evidence for a distributive rendering of the plural ‘hai dunameis’ in the crucial statement, ’because the powers (‘hai dunameis’) were shown to be infinite in multitude’ in 147d7-8 (contrary to the Burnyeat collective, set-theoretic rendering), necessarily resulting in an anthyphairetic method for Theodorus’ proofs of incommensurability (contrary to the Cherniss-Burnyeat neutrality thesis). -
Early Greeks and Aristotle
Topics Moore Chaps 1 & 2: Early Greeks & Aristotle I. Early Greeks II. The Method of Exhaustion I. Early Greeks III.Aristotle 1. Anaximander (b. 610 B.C.) “to apeiron” - “the unlimited”, “unbounded” Solution to the Problem of the One and the Many: Observable objects = composites of the four elements: - fundamental substance of reality earth, air, fire, water. - underlying substratum for change Question: How do such opposing elements combine to form objects? - neutral substratum in which Answer: Through the mediation of to apeiron opposites/strife are reconciled 2. The Pythagoreans (Pythagoras b. 570 B.C.) the physical world = product of the imposition of “peras” (limits) on “a peiron” result = order/harmony basis for this order = natural numbers 3. The Eleatics Parmenides of Elea (515 B.C.) Claim: It is meaningless to speak of what is not. Everything is. “The One” - the metaphysically infinite - indivisible, homogeneous, eternal Further claim: Change is an illusion. (Change is a transition from what is, to what is not. This is impossible, since talk of what is not is incoherent.) Zeno (490 B.C.) Paradoxes of motion: intended to demonstrate that motion is not real - Achilles and the Tortoise - Paradox of the runner: ABE D C Claim: Achilles will never reach the finish-line at B. Proof: (1) To reach B, must reach C = AB/2. (2) To reach C, must reach D = AC/2, etc... (3) Thus there are an infinite number of finite line segments between A and B. (4) So Achilles would need an infinite amount of time to traverse them all! Assumptions: (a) AB is infinitely divisible. -
Peirce, Pragmatism, and the Right Way of Thinking
SANDIA REPORT SAND2011-5583 Unlimited Release Printed August 2011 Peirce, Pragmatism, and The Right Way of Thinking Philip L. Campbell Prepared by Sandia National Laboratories Albuquerque, New Mexico 87185 and Livermore, California 94550 Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy’s National Nuclear Security Administration under Contract DE-AC04-94AL85000.. Approved for public release; further dissemination unlimited. Issued by Sandia National Laboratories, operated for the United States Department of Energy by Sandia Corporation. NOTICE: This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government, nor any agency thereof, nor any of their employees, nor any of their contractors, subcontractors, or their employees, make any warranty, express or implied, or assume any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represent that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise, does not necessarily con- stitute or imply its endorsement, recommendation, or favoring by the United States Government, any agency thereof, or any of their contractors or subcontractors. The views and opinions expressed herein do not necessarily state or reflect those of the United States Government, any agency thereof, or any of their contractors. Printed in the United States of America. This report has been reproduced directly from the best available copy. -
Mereology Then and Now
Logic and Logical Philosophy Volume 24 (2015), 409–427 DOI: 10.12775/LLP.2015.024 Rafał Gruszczyński Achille C. Varzi MEREOLOGY THEN AND NOW Abstract. This paper offers a critical reconstruction of the motivations that led to the development of mereology as we know it today, along with a brief description of some questions that define current research in the field. Keywords: mereology; parthood; formal ontology; foundations of mathe- matics 1. Introduction Understood as a general theory of parts and wholes, mereology has a long history that can be traced back to the early days of philosophy. As a formal theory of the part-whole relation or rather, as a theory of the relations of part to whole and of part to part within a whole it is relatively recent and came to us mainly through the writings of Edmund Husserl and Stanisław Leśniewski. The former were part of a larger project aimed at the development of a general framework for formal ontology; the latter were inspired by a desire to provide a nominalistically acceptable alternative to set theory as a foundation for mathematics. (The name itself, ‘mereology’ after the Greek word ‘µρoς’, ‘part’ was coined by Leśniewski [31].) As it turns out, both sorts of motivation failed to quite live up to expectations. Yet mereology survived as a theory in its own right and continued to flourish, often in unexpected ways. Indeed, it is not an exaggeration to say that today mereology is a central and powerful area of research in philosophy and philosophical logic. It may be helpful, therefore, to take stock and reconsider its origins. -
Marx, Process, and the Metaphysics of Production: the Relations of Change
Running head: MARX AND PROCESS 1 Marx, Process, and the Metaphysics of Production: The Relations of Change ---------------------- ------- ABSTRACT: In this essay I offer a reading of Karl Marx which deviates from traditionalapproaches. I should like to explicate the metaphysics of process in Marx‟s philosophy. This work will make explicit a Marxianconcept of change and transformation in the flow of history—as Marx‟s vision of history is adynamic unfolding. On my view, Marx‟s underlying structure which serves to support his metaphysics of process is production. In The German Ideology(1845-1846) Marx writes, “The way men produce their means of subsistence depends first of all on the nature of the actual means of subsistence they find in existence and have to reproduce. This mode of production must not be considered simply as being the reproduction of the physical existence of the individuals. Rather it is a definite form of activity of these individuals, a definite form of expressing their life, a definite mode of life on their part” (Tucker, 1978, p. 150). It is from the departure of real human relations that we see Marx beginning his analyses. I contend that that these relations (human production) have ontological primacy. As I see Marx as a philosopher of change, I contend that the modern process philosopher is better suited to understand the metaphysics of Marx—and therefore the dynamics of production—in pursuit of the revolutionary struggle. MARX AND PROCESS 2 Marx, Process, and the Metaphysics of Production In this essay I will offer a reading of Karl Marx which deviates from more traditional philosophical approaches. -
CONCEPTS, DEFINITIONS, and MEANING Author(S): TYLER BURGE Source: Metaphilosophy, Vol
CONCEPTS, DEFINITIONS, AND MEANING Author(s): TYLER BURGE Source: Metaphilosophy, Vol. 24, No. 4 (October 1993), pp. 309-325 Published by: Wiley Stable URL: http://www.jstor.org/stable/24439033 Accessed: 11-04-2017 02:15 UTC REFERENCES Linked references are available on JSTOR for this article: http://www.jstor.org/stable/24439033?seq=1&cid=pdf-reference#references_tab_contents You may need to log in to JSTOR to access the linked references. JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at http://about.jstor.org/terms Wiley is collaborating with JSTOR to digitize, preserve and extend access to Metaphilosophy This content downloaded from 128.97.244.236 on Tue, 11 Apr 2017 02:15:14 UTC All use subject to http://about.jstor.org/terms © The Metaphilosophy Foundation and Basil Blackwell Ltd. 1993. Published by Blackwell Publishers, 108 Cowley Road, Oxford OX4 1JF, UK and 238 Main Street, Cambridge, MA 02142, USA METAPHILOSOPHY Vol 24, No 4, October 1993 0026-1068 CONCEPTS, DEFINITIONS, AND MEANING* ** TYLER BURGE The Aristotelian tradition produced many of the elements of what is widely thought of as "the traditional view" of concepts. I begin by attempting to summarize this view. The summary runs roughshod over numerous distinctions that were dear to various thinkers who contributed to this general conception of concepts. -
The Explanatory Role of the Notion of Representation
The Explanatory Role of the Notion of Representation Michael Strevens Draft of November 2004 ABSTRACT This paper investigates the explanatory role, in scientific theories, of the no- tion of representation and other kindred notions, such as the notions of in- formation and coding. I develop a simple account of the use of the notion of a representation, or more specifically the notion of an inner map, in a class of explanations of animals’ navigational capacities. I then show that the account, though simple, is more widely applicable than it seems, and I pose the question whether the same simple account could make sense of the use of representational notions in other kinds of scientific explanation, such as the explanations of neuroscience, genetics, developmental biology, cognitive psychology, and so on. I extend the account of the explanation of capacities to the explanation of behavior, and conclude by discussing representations of goals. 1 CONTENTS 1 Representations in Explanations 3 2 The R-C Model of Explanation 5 2.1 Explaining Navigational Capacities . 5 2.2 The Role of the Detection Mechanism: Establishing Covariation 8 2.3 The Role of the Prosecution Mechanism: Exploiting Covariation 10 2.4 The R-C Model . 11 3 Extending the R-C Model 13 3.1 Covariation and the Representation of Past and Future States of Affairs . 13 3.2 Representations of Permanent States of Affairs . 15 3.3 Complex Exploitation . 16 4 Beyond Navigation 19 4.1 Further Extending the R-C Model . 19 4.2 Other Animals, Other Capacities . 20 4.3 Other Kinds of Explananda . -
Universal Determinism and Relative Dertermination
University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Transactions of the Nebraska Academy of Sciences and Affiliated Societies Nebraska Academy of Sciences 1983 Universal Determinism and Relative Dertermination Leroy N. Meyer University of South Dakota Follow this and additional works at: https://digitalcommons.unl.edu/tnas Part of the Life Sciences Commons Meyer, Leroy N., "Universal Determinism and Relative Dertermination" (1983). Transactions of the Nebraska Academy of Sciences and Affiliated Societies. 252. https://digitalcommons.unl.edu/tnas/252 This Article is brought to you for free and open access by the Nebraska Academy of Sciences at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Transactions of the Nebraska Academy of Sciences and Affiliated Societiesy b an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. 1983. Transactions of the Nebraska Academy of Sciences. XI:93-98. PHILOSOPHY OF SCIENCE UNIVERSAL DETERMINISM AND RELATIVE DETERMINATION Leroy N. Meyer Department of Philosophy University of South Dakota Vermillion, South Dakota 57069 Recent works have shown that it is possible to devise a clear have been developed. There is of course a variety of versions thesis of universal determinism. Two such theses are formulated. Ap of determinism, but of primary concern here is one general parently the motivations for universal determinism have been: (I) to kind of physical determinism, which may be called universal account for the explanatory power of scientific laws, (2) to support the principle of sufficient reason, and (3) to provide a methodological determinism, though remarks extend to some other kinds of criterion for scientific progress. Universal determinism is, however, deterministic theses as well.