In lieu of an abstract, here is a brief excerpt of the content:Philosophy, Psychiatry, & Psychology 9.2 (2002) 127-129 [Access article in PDF] Linguistic Markers of Recovery:Underpinnings of First Person Pronoun Usage and Semantic Positions of Patients Patrick Suppes Keywords: association, freedom, habits, psychotherapy, roles, semantics. USING LINGUISTIC EVIDENCE to evaluate recovering psychotherapy patients is an attractive and useful idea. I agree with much of Dr. van Staden's proposals for doing so. The purpose of this commentary is to give some (...) comments and criticisms on points of detail. Roles, Not Semantics A fair amount of Dr. van Staden's article is concerned with the semantics of relations. The focus on relations is a good thing. Restricting discourse about patients to properties is not sufficient, for everyone regards how a person is relating to others, and even to other things, as an important feature of normal behavior and mental health. We do not want just to report, "John was upset," but consider it definitely more informative to say, "John was upset by his father's criticisms." The English language and all other natural languages are rich in verbs for expressing relations with emotional affect between two or more persons, or a person and an event or thing. Staden's article focuses on the interesting and important case of first person pronouns. To go from saying, "She made me do it" to "I did it" is, for reasons that need not be spelled out, a sign of progress. A way to describe this change is that the speaker has indicated that in the implicit context assumed he or she has shown signs of moving from the role of being a patient to that of being an actor, from being a recipient of actions to being a performer of acts.van Staden concentrates on the semantics of relations to bring out what I call the change of roles. I would certainly agree that such change of roles is important to the semantics of affective or action verbs and verb phrases. We have no disagreement at all about this. Yet I am critical of his wanting to range much wider in his analysis of semantics. The logical or formal treatment of relations is a large topic, full of many distinctions and subtleties that seem to me not too relevant to his main theme. In a very general way he wants to say that what is usually thought of as [End Page 127] the first position in a relation, what he calls the alpha position, is occupied by the owner of the relation, and the second position, in a binary relation—the main case discussed—is occupied by the accidental to that particular relation. This second position is called the omega position.This runs contrary to much of the mathematical literature on relations, which occupy an important place in many parts of mathematics such as geometry. So when we say that one triangle is larger than another, it seems positively weird to say the second triangle is somehow accidental to the relation. But this is true and confusing even for the familiar and classical kinds of actions often cited by van Staden. In analyzing the sentence "Brutus killed Caesar intentionally" it sounds really strange to say that Caesar occupied the accidental position in the expressed relation of killing.Moreover, in the conceptual and philosophical discussion of relations, it is common practice to stress that even if the natural grammar of a sentence has a subject-predicate structure, as in "Elizabeth is the mother of Charles," no special logical force is given to what van Staden calls the first or alpha position in most mathematical relations, such as "The number 2 is less than the number 3," expressed in ordinary mathematical notation as "2 < 3."On the other hand, I stress that it is natural to distinguish in a relational sentence expressing an action between the role of actor and the role of patient, no matter which is the grammatical subject of the sentence, as in the following pair "John hurt Mary" and "Mary was hurt by John." The roles of actor... (shrink)

Axiomatization is a formal method for specifying the content of a theory wherein a set of axioms is given from which the remaining content of the theory can be derived deductively as theorems. The theory is identified with the set of axioms and its deductive consequences, which is known as the closure of the axiom set. The logic used to deduce theorems may be informal, as in the typical axiomatic presentation of Euclidean geometry; semiformal, as in reference to set theory (...) or specified branches of mathematics; or formal, as when the axiomatization consists in augmenting the logical axioms for first‐order predicate calculus by the proper axioms of the theory. Although Euclid distinguished axioms from postulates, today the terms are used interchangeably. The earlier demand that axioms be self‐evident or basic truths gradually gave way to the idea that axioms were just assumptions, and later to the idea that axioms are just designated sentences used to specify the theory. (shrink)

In what is known as the “received view” analysis, logical positivism construed scientific theories TC as being axiomatized in first‐order predicate calculus using proper axioms T (the theoretical laws) and having distinct observational and theoretical vocabularies VO and VT which are related to each other via a dictionary of correspondence rules C (see theories). Prior to 1936 the correspondence rules were required to be equivalences between VT terms and simple or complex observational conditions expressible using just VO terms that provided (...) noncreative explicit definitions of the terms (see craig's theorem). The empirical content of the theory TC was identified with the set O of theorems which contained VO but not VT terms. (shrink)

We formulate Suppes predicates for various kinds of space-time: classical Euclidean, Minkowski's, and that of General Relativity. Starting with topological properties, these continua are mathematically constructed with the help of a basic algebra of events; this algebra constitutes a kind of mereology, in the sense of Lesniewski. There are several alternative, possible constructions, depending, for instance, on the use of the common field of reals or of a non-Archimedian field (with infinitesimals). Our approach was inspired by the work of Whitehead (...) (1919), though our philosophical stance is completely different from his. The structures obtained are idealized constructs underlying extant, physical space-time. (shrink)

In this paper the general notion of Bourbaki structures, interpreted in terms of Suppes predicates, will be used to axiomatize a system of meta-rankings in the sense introduced by A. K. Sen. It will be argued that this axiomatization must take place in a Kantian-ruled world in order to provide a link between meta-rankings and individual actions.Dedicated to Prof. Francisco A. Doria on his 50th birthday.

We formulate Suppes predicates for various kinds of space-time: classical Euclidean, Minkowski's, and that of General Relativity. Starting with topological properties, these continua are mathematically constructed with the help of a basic algebra of events; this algebra constitutes a kind of mereology, in the sense of Lesniewski. There are several alternative, possible constructions, depending, for instance, on the use of the common field of reals or of a non-Archimedian field. Our approach was inspired by the work of Whitehead, though our (...) philosophical stance is completely different from his. The structures obtained are idealized constructs underlying extant, physical space-time. (shrink)

This is a volume containing papers honoring Patrick Suppes (1922-2014). All contributors have worked directly with Suppes or/and with his ideas. The book also contains one of the last papers by Suppes (co-authored by two of his collaborators). -/- The work of Suppes touches many different areas, ranging from meteorology to physics, through logic, mathematics, psychology, neuroscience, education, painting, but he was first of all and above all a philosopher, always questioning, but not in vain. There are not many philosophers (...) who can be proud of having written influential math textbooks, contributed decisively to the philosophical foundations of science, helped to develop research in real labs, promoted new forms o education (computer-assisted learning and the EGPY – Education Program for Gifted Youth). -/- Since the range of interest of Suppes was very broad, so is the variety of topics dealt with in this volume. The work of a researcher is certainly not limited to his own writings, but also has to be appreciated through the work of the people he has been working with and influenced. From this point of view the work of Suppes is very impressive, and the present book contributes to show that. -/- This is a follow up of a special issue of the journal Synthese, New Directions in the Foundations of Science, edited by Béziau and Krause, after a meeting they organized with Suppes in Florianópolis (Brazil) in 2002 for his 80th birthday. -/- Jean-Yves Béziau worked with Suppes at Stanford University for two years (2000 and 2001) and has been continuously working in the Suppes tradition of logic, methodology and philosophy of science, which emphasizes structures and models. -/- Décio Krause has used Suppes’ approach to the axiomatization of scientific theories in many fields. With J.C.M. Magalhães, he presented a ``Suppes predicate” for genetics and natural selection and with S. French he developed a Suppes predicate for quantum field theories via Fock spaces. (shrink)

Quantum mechanical entangled configurations of particles that do not satisfy Bell’s inequalities, or equivalently, do not have a joint probability distribution, are familiar in the foundational literature of quantum mechanics. Nonexistence of a joint probability measure for the correlations predicted by quantum mechanics is itself equivalent to the nonexistence of local hidden variables that account for the correlations (for a proof of this equivalence, see Suppes and Zanotti, 1981). From a philosophical standpoint it is natural to ask what sort of (...) concept can be used to provide a “joint” analysis of such quantum correlations. In other areas of application of probability, similar but different problems arise. A typical example is the introduction of upper and lower probabilities in the theory of belief. A person may feel uncomfortable assigning a precise probability to the occurrence of rain tomorrow, but feel comfortable saying the probability should be greater than ½ and less than ⅞. Rather extensive statistical developments have occurred for this framework. A thorough treatment can be found in Walley (1991) and an earlier measurement-oriented development in Suppes (1974). It is important to note that this focus on beliefs, or related Bayesian ideas, is not concerned, as we are here, with the nonexistence of joint probability distributions. Yet earlier work with no relation to quantum mechanics, but focused on conditions for existence has been published by many people. For some of our own work on this topic, see Suppes and Zanotti (1989). Still, this earlier work naturally suggested the question of whether or not upper and lower measures could be used in quantum mechanics, as a generalization of.. (shrink)

Suppe, F. The search for philosophic understanding of scientific theories (p. [1]-241)--Proceedings of the symposium.--Bibliography, compiled by Rew A. Godow, Jr. (p. [615]-646).

Frederick Suppe has come to enjoy a position of undisputed leadership in the post-positivistic philosophy of science.

Coherent, well organized text familiarizes readers with complete theory of logical inference and its applications to math and the empirical sciences. Part I deals with formal principles of inference and definition; Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Last section introduces numerous examples of axiomatically formulated theories in both discussion and exercises. Ideal for undergraduates; no background in math or philosophy required.

An early, very preliminary edition of this book was circulated in 1962 under the title Set-theoretical Structures in Science. There are many reasons for maintaining that such structures play a role in the philosophy of science. Perhaps the best is that they provide the right setting for investigating problems of representation and invariance in any systematic part of science, past or present. Examples are easy to cite. Sophisticated analysis of the nature of representation in perception is to be found already (...) in Plato and Aristotle. One of the great intellectual triumphs of the nineteenth century was the mechanical explanation of such familiar concepts as temperature and pressure by their representation in terms of the motion of particles. A more disturbing change of viewpoint was the realization at the beginning of the twentieth century that the separate invariant properties of space and time must be replaced by the space-time invariants of Einstein's special relativity. Another example, the focus of the longest chapter in this book, is controversy extending over several centuries on the proper representation of probability. The six major positions on this question are critically examined. Topics covered in other chapters include an unusually detailed treatment of theoretical and experimental work on visual space, the two senses of invariance represented by weak and strong reversibility of causal processes, and the representation of hidden variables in quantum mechanics. The final chapter concentrates on different kinds of representations of language, concluding with some empirical results on brain-wave representations of words and sentences. (shrink)

PREVIOUS WORK Theoretical discussion of the interval measurement of utility based upon theories of decision making under conditions of risk has been voluminous and will not be reviewed here. Those interested will find extensive ...

Provability, Computability and Reflection.

In treatises or advanced textbooks on theoretical physics, it is apparent that the way mathematics is used is very different from what is to be found in books of mathematics. There is, for example, no close connection between books on analysis, on the one hand, and any classical textbook in quantum mechanics, for example, Schiff, [11], or quite recent books, for example Ryder, [10], on quantum field theory. The differences run a good deal deeper than the fact that the books (...) on theoretical physics are not written in the definition-theorem-proof style characteristic of pure mathematics. Although a good many propositions are proved in the books on physics, there are almost with exception no existential proofs, and consequently there is no really serious systematic use of quantifiers. Another important characteristic is the free use of infinitesimals. In fact, most results would not lose anything, from a physicist's point of view, by leaving them in approximate form, i.e., instead of strict equalities or inequalities, using equalities or inequalities only up to an infinitesimal.The discrepancy between the way mathematics is ordinarily done in theoretical physics and the way it is built up from a foundational standpoint in any of the standard modern views raises the question of whether it might be possible to construct quite directly a rigorous foundation that reflects a significant part of this standard practice in theoretical physics. Other parts of standard practice in physics, for example, the use of physically intuitive but nonrigorous arguments, are not present in our system. (shrink)

Achinstein, Putnam, and others have urged the rejection of the received view on theories (which construes theories as axiomatic calculi where theoretical terms are given partial observational interpretations by correspondence rules) because (i) the notion of partial interpretation cannot be given precise formulation, and (ii) the observational-theoretical distinction cannot be drawn satisfactorily. I try to show that these are the wrong reasons for rejecting the received view since (i) is false and it is virtually impossible to demonstrate the truth of (...) (ii). Nonetheless, the received view should be rejected because it obscures a number of epistemologically important features of scientific theorizing. I show this by sketching an alternative analysis which reveals some of these features and gives a more faithful picture of scientific theorizing. (shrink)

The positivistic Received View construed scientific theories syntactically as axiomatic calculi where theoretical terms were given a partial semantic interpretation via correspondence rules connecting them to observation statements. This paper assesses what, with hindsight, seem the most important defects in the Received View; surveys the main proposed successor analyses to the Received View--various Semantic Conception versions and the Structuralist Analysis; evaluates how well they avoid those defects; examines what new problems they face and where the most promising require further development (...) or leave unanswered questions; explores implications of recent work on models for understanding theories; and rebuts the few criticisms of the Semantic Conception that have surfaced. (shrink)