Off-campus access
Using PhilPapers from home?
Click here to configure this browser for off-campus access.
- Michael Friedman (1995). Poincaré's Conventionalism and the Logical Positivists. Foundations of Science 1 (2).The logical positivists adopted Poincare's doctrine of the conventionality of geometry and made it a key part of their philosophical interpretation of relativity theory. I argue, however, that the positivists deeply misunderstood Poincare's doctrine. For Poincare's own conception was based on the group-theoretical picture of geometry expressed in the Helmholtz-Lie solution of the space problem, and also on a hierarchical picture of the sciences according to which geometry must be presupposed be any properly physical theory. But both of this pictures are entirely incompatible with the radically new conception of space and geometry articulated in the general theory of relativity. The logical positivists's attempt to combine Poincare's conventionalism with Einstein's new theory was therefore, in the end, simply incoherent. Underlying this problem, moreover, was a fundamental philosophical difference between Poincare's and the positivists concerning the status of synthetic a priori truths.Reading list | Discuss | Edit | Categorize |My bibliography
| Export citation | Scholar | At my library 
Similar books and articles
Geometry was a main source of inspiration for Carnap’s conventionalism. Taking Poincaré as his witness Carnap asserted in his dissertation Der Raum (Carnap 1922) that the metrical structure of space is conventional while the underlying topological structure describes "objective" facts. With only minor modifications he stuck to this account throughout his life. The aim of this paper is to disprove Carnap's contention by invoking some classical theorems of differential topology. By this means his metrical conventionalism turns out to be indefensible for mathematical reasons. This implies that the relation between to-pology and geometry cannot be conceptualized as analogous to the relation between the meaning of a proposition and its expression in some language as logical empiricists used to say.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: philsci-archive.pitt.edu journals.uchicago.edu dx.doi.org | Scholar | At my library | More options ...
| | Other links: philsci-archive.pitt.edu journals.uchicago.edu dx.doi.org | Scholar | At my library | More options ... Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: dx.doi.org | Scholar | At my library | More options ...
| | Other links: dx.doi.org | Scholar | At my library | More options ... Hans Reichenbach's so-called geometrical conventionalism is often taken as an example of a positivistic philosophy of science, based on a verificationist theory of meaning. By contrast, we shall argue that this view rests on a misinterpretation of Reichenbach's major work in this area, the Philosophy of Space and Time (1928). The conception of equivalent descriptions, which lies at the heart of Reichenbach's conventionalism, should be seen as an attempt to refute Poincaré's geometrical relativism. Based upon an examination of the reasons Reichenbach gives for the cognitive equivalence of geometrical descriptions, the paper argues that his conventionalism is a specific form of scientific realism. At the same time we shall argue against those interpretations which lead to a trivialization of Reichenbach's conventionalism or deny it entirely.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: informaworld.com tandfonline.com dx.doi.org | Scholar | At my library | More options ...
| | Other links: informaworld.com tandfonline.com dx.doi.org | Scholar | At my library | More options ... often insisted existence in mathematics means logical consistency, and formal logic is the sole guarantor of rigor. The paper joins this to his view of intuition and his own mathematics. It looks at predicativity and the infinite, Poincaré's early endorsement of the axiom of choice, and Cantor's set theory versus Zermelo's axioms. Poincaré discussed constructivism sympathetically only once, a few months before his death, and conspicuously avoided committing himself. We end with Poincaré on Couturat, Russell, and Hilbert.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Scholar | At my library | More options ...
| | Scholar | At my library | More options ... In this paper I concentrate on the dynamic aspects of the special theory of relativity (in the non-Minkowski formalism), and not on the kinematic part of the story as is usually done. Following up the dynamic story leads to a new point of view as to Poincare's important role in the development of special relativity. Much of Poincare's dynamic work did not enter into Einstein's 1905 theory, since Einstein was mainly occupied with kinematics. However, the dynamic part is most fundamental in the development of the special theory of relativity after 1905. In this paper I consider the main developments of relativistic dynamics in which I demonstrate that much response to Poincare's dynamic research can be found. I argue that Poincare's dynamic work assisted in departing from Einstein's electrodynamic theory towards relativistic dynamics (independent of electrodynamics).
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: linkinghub.elsevier.com dx.doi.org | Scholar | At my library | More options ...
| | Other links: linkinghub.elsevier.com dx.doi.org | Scholar | At my library | More options ... In his account of probable reasoning, Poincare used the concept, or at least the language, of conventions. In particular, he claimed that the prior probabilities essential for inverse probable reasoning are determined conventionally. This paper investigates, in the light of Poincare's well known claim about the conventionality of metric geometry, what this could mean, and how it is related to other views about the determination of prior probabilities. Particular attention is paid to the similarities and differences between Poincare's conventionalism as it applies to probabilities and de Finetti's subjectivism. The aim of the paper is to suggest that in accounts of the development of ideas about probable reasoning, particularly those customarily described as Bayesian, Poincare's discussion deserves more attention than it has so far received.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Scholar | At my library | More options ...
| | Scholar | At my library | More options ... Poincaré's claim that Euclidean and non-Euclidean geometries are translatable has generally been thought to be based on his introduction of a model to prove the consistency of Lobachevskian geometry and to be equivalent to a claim that Euclidean and non-Euclidean geometries are logically isomorphic axiomatic systems. In contrast to the standard view, I argue that Poincaré's translation thesis has a mathematical, rather than a meta-mathematical basis. The mathematical basis of Poincaré's translation thesis is that the underlying manifolds of Euclidean and Lobachevskian geometries are homeomorphic. Assuming as Poincaré does that metric relations are not factual, it follows that we can rewrite a physical theory using Euclidean geometry as one using Lobachevskian geometry and express the same facts.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: jstor.org | Scholar | At my library | More options ...
| | Other links: jstor.org | Scholar | At my library | More options ... Abstract This paper discusses Husserl’s views on physical theories in the first volume of his Logical Investigations , and compares them with those of his contemporaries Pierre Duhem and Henri Poincaré. Poincaré’s views serve as a bridge to a discussion of Husserl’s almost unknown views on physical geometry from about 1890 on, which in comparison even with Poincaré’s—not to say Frege’s—or almost any other philosopher of his time, represented a rupture with the philosophical tradition and were much more in tune with the physical geometry underlying the Einstein-Hilbert general theory of relativity developed more than two decades later. Content Type Journal Article Category Invited paper Pages 1-23 DOI 10.1007/s10516-011-9165-9 Authors Guillermo E. Rosado Haddock, University of Puerto Rico at Río Piedras, San Juan, Puerto Rico Journal Axiomathes Online ISSN 1572-8390 Print ISSN 1122-1151.
No categories
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: dx.doi.org | Scholar | At my library | More options ...
| | Other links: dx.doi.org | Scholar | At my library | More options ... This paper offers an interpretation of Poincaré's conventionalism, distinguishing it from the Duhem–Quine thesis, on the one hand, and, on the other, from the logical positivist understanding of conventionalism as a general account of necessary truth. It also confronts Poincaré's conventionalism with some counter-arguments that have been influential: Einstein's (general) relativistic argument, and the linguistic rejoinders of Quine and Davidson. In the first section, the distinct roles played by the inter-translatability of different geometries, the inaccessibility of space to direct observation, and general holistic considerations are identified. Together, they form a constructive argument for conventionalism that underscores the impact of fact on convention. The second section traces Poincaré's influence on the general theory of relativity and Einstein's ensuing ambivalence toward Poincaré. Lastly, it is argued that neither Quine nor Davidson has met the conventionalist challenge.
Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: bjps.oupjournals.org jstor.org dx.doi.org | Scholar | At my library | More options ...
| | Other links: bjps.oupjournals.org jstor.org dx.doi.org | Scholar | At my library | More options ... Reading list
| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: jstor.org | Scholar | At my library | More options ...
| | Other links: jstor.org | Scholar | At my library | More options ... Discussion of Michael Friedman, Poincaré's conventionalism and the logical positivists
 Back
All discussions
Start a new thread
|
There are no threads in this forum |
Nothing in this forum yet.
