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Axiomathes

 
Articles from the last few issues of Axiomathes © Springer
 

Generalised Quantum Theory—Basic Idea and General Intuition: A Background Story and Overview

  [CiTO]
Axiomathes (10 January 2011), pp. 1-25, doi:10.1007/s10516-010-9145-5

Abstract

Science is always presupposing some basic concepts that are held to be useful. These absolute presuppositions (Collingwood) are rarely debated and form the framework for what has been termed paradigm by Kuhn. Our currently accepted scientific model is predicated on a set of presuppositions that have difficulty accommodating holistic structures and relationships and are not geared towards incorporating non-local correlations. Since the theoretical models we hold also determine what we perceive and take as scientifically viable, it is important ...

 

Generalized Quantum Theory: Overview and Latest Developments

  [CiTO]
Axiomathes, Vol. 21, No. 2. (1 June 2011), pp. 211-220, doi:10.1007/s10516-010-9136-6
posted by 1 person magalb

Abstract

The main formal structures of generalized quantum theory are summarized. Recent progress has sharpened some of the concepts, in particular the notion of an observable, the action of an observable on states (putting more emphasis on the role of proposition observables), and the concept of generalized entanglement. Furthermore, the active role of the observer in the structure of observables and the partitioning of systems is emphasized. ...

 

Non-Classical Correlations in Bistable Perception?

  [CiTO]
Axiomathes (15 November 2010), pp. 1-12, doi:10.1007/s10516-010-9135-7

Abstract

A violation of Bell’s inequalities is generally considered to be the Holy Grail of experimental proof that a specific natural phenomenon cannot be explained in a classical framework and is based on a non-boolean structure of predications. Generalized quantum theory allows for such non-boolean predications. We formulate temporal Bell’s inequalities for cognitive two-state systems and indicate how these inequalities can be tested. This will introduce the notion of temporally non-local measurements. The Necker-Zeno model for bistable perception predicts a violation of ...

 

Phenomenological Aspects of Complementarity and Entanglement in Exceptional Human Experiences (ExE)

  [CiTO]
Axiomathes (1 February 2011), pp. 1-15, doi:10.1007/s10516-010-9143-7

Abstract

The mental system of an individual usually generates a reality-model that includes a self-model and a world-model as fundamental components. Exceptional experiences (ExE) can be classified as subjectively experienced anomalies in the self-model or the world-model or in the relation of both. Empirical studies show significant correlations between specific patterns of ExE and socially and clinically relevant variables. In order to examine the ontological status of anomalous phenomena a psychophysical approach is presented in which the principle of complementarity is of ...

 

Non-Local Correlations in Therapeutic Settings? A Qualitative Study on the Basis of Weak Quantum Theory and the Model of Pragmatic Information

  [CiTO]
Axiomathes (4 January 2011), pp. 1-13, doi:10.1007/s10516-010-9142-8

Abstract

Weak Quantum Theory (WQT) and the Model of Pragmatic Information (MPI) are two psychophysical concepts developed on the basis of quantum physics. The present study contributes to their empirical examination. The issue of the study is whether WQT and MPI can not only explain ‘psi’-phenomena theoretically but also prove to be consistent with the empirical phenomenology of extrasensory perception (ESP). From the main statements of both models, 33 deductions for psychic readings are derived. Psychic readings are defined as settings, in ...

 

Complex Environmental Reactions, as a New Concept to Describe Spontaneous “Paranormal” Experiences

  [CiTO]
Axiomathes (15 December 2010), pp. 1-23, doi:10.1007/s10516-010-9138-4

Abstract

A systemic phenomenological model that assumes the movability of the Cartesian cut is proposed and elucidated by means of a single exploratory case study. The model assumes that a continuum from purely psychosomatic disorders to RSPK cases exists. The degree of externalization (locus of control) of the affected person serves as an ordering parameter for the location of the Cartesian cut. It turns out that the dynamics of the disorder develops in four phases, like in the RSPK-model of the MPI. ...

 

Spontaneous Anomalystic Phenomena, Pragmatic Information and Formal Representations of Uncertainty

  [CiTO]
Axiomathes (10 November 2010), pp. 1-15, doi:10.1007/s10516-010-9134-8

Abstract

I discuss the application of the Model of Pragmatic Information to the study of spontaneous anomalystic mental phenomena like telepathy, precognition, etc. In these phenomena the most important effects are related to anomalous information gain by the subjects. I consider the basic ideas of the Model, as they have been applied to experimental anomalystic phenomena and to spontaneous phenomena that have strong physical effects, like poltergeist cases, highlighting analogies and differences. Moreover, I point out that in such cases we cannot ...

 

Distance and Similarity Measures in Generalised Quantum Theory

  [CiTO]
Axiomathes (24 November 2010), pp. 1-11, doi:10.1007/s10516-010-9137-5

Abstract

A summary of recent experimental results shows that entanglement can be generated more easily than before, and that there are improved chances for its persistence. An eminent finding of Generalised Quantum Theory is the insight that the notion of entanglement can be extended, such that, e.g., psychological or psychophysical problem areas can be included, too. First, a general condition for entanglement to occur is given by the term ‘common prearranged context’. A formalised treatment requires a quantitative definition of the similarity ...

 

Bridging the Gap: Does Closure to Efficient Causation Entail Quantum-Like Attributes?

  [CiTO]
Axiomathes (1 February 2011), pp. 1-16, doi:10.1007/s10516-011-9146-z

Abstract

This paper explores the similarities between the conceptual structure of quantum theory and relational biology as developed within the Rashevsky-Rosen-Louie school of theoretical biology. With this aim, generalized quantum theory and the abstract formalism of (M,R)-systems are briefly presented. In particular, the notion of organizational invariance and relational identity are formalized mathematically and a particular example is given. Several quantum-like attributes of Rosen’s complex systems such as complementarity and nonseparability are discussed. Taken together, this work emphasizes the possible role of ...

 

Quantum Theory Beyond the Physical: Information in Context

  [CiTO]
Axiomathes (14 January 2011), pp. 1-15, doi:10.1007/s10516-010-9144-6

Abstract

Measures and theories of information abound, but there are few formalised methods for treating the contextuality that can manifest in different information systems. Quantum theory provides one possible formalism for treating information in context. This paper introduces a quantum inspired model of the human mental lexicon. This model is currently being experimentally investigated and we present a preliminary set of pilot data suggesting that concept combinations can indeed behave non-separably. ...

 

Quantum Cooperation

  [CiTO]
Axiomathes (30 December 2010), pp. 1-10, doi:10.1007/s10516-010-9139-3

Abstract

In a theoretical simulation the cooperation of two insects is investigated who share a large number of maximally entangled EPR-pairs to correlate their probabilistic actions. Specifically, two distant butterflies must find each other. Each butterfly moves in a chaotic form of short flights, guided only by the weak scent emanating from the other butterfly. The flight directions result from classical random choices. Each such decision of an individual is followed by a read-out of an internal quantum measurement on a spin, ...

 

The Quantum Structure of Knowledge

  [CiTO]
Axiomathes (28 October 2010), pp. 1-15, doi:10.1007/s10516-010-9129-5

Abstract

This paper analyzes how conflicts of perspective are resolved in the field of the human sciences. Examples of such conflicts are the duality between the actor and spectator standpoints, or the duality of participancy between a form of social life and a socio-anthropological study of it. This type of duality look irreducible, because the conflicting positions express incompatible interests. Yet, the claim of incommensurability is excessive. There exists a level of mental activity at which dialogue and resolution are ...

 

Does Process Matter? An Introduction to the Special Issue on Interactivism

  [CiTO]
Axiomathes (18 November 2010), pp. 1-2, doi:10.1007/s10516-010-9124-x
 

Some Consequences (and Enablings) of Process Metaphysics

  [CiTO]
Axiomathes (3 November 2010), pp. 1-30, doi:10.1007/s10516-010-9130-z

Abstract

The interactivist model has explored a number of consequences of process metaphysics. These include reversals of some fundamental metaphysical assumptions dominant since the ancient Greeks, and multiple further consequences throughout the metaphysics of the world, minds, and persons. This article surveys some of these consequences, ranging from issues regarding entities and supervenience to the emergence of normative phenomena such as representation, rationality, persons, and ethics. ...

 

Physicalism, Emergence and Downward Causation

  [CiTO]
Axiomathes (5 November 2010), pp. 1-24, doi:10.1007/s10516-010-9128-6

Abstract

The development of a defensible and fecund notion of emergence has been dogged by a number of threshold issues neatly highlighted in a recent paper by Jaegwon Kim. We argue that physicalist assumptions confuse and vitiate the whole project. In particular, his contention that emergence entails supervenience is contradicted by his own argument that the ‘microstructure’ of an object belongs to the whole object, not to its constituents. And his argument against the possibility of downward causation is question-begging and makes ...

 

Epistemic Objects as Interactive Loci

  [CiTO]
Axiomathes (3 November 2010), pp. 1-10, doi:10.1007/s10516-010-9132-x

Abstract

Contemporary process metaphysics has achieved a number of important results, most significantly in accounting for emergence, a problem on which substance metaphysics has foundered since Plato. It also faces trenchant problems of its own, among them the related problems of boundaries and individuation. Historically, the quest for ontology may thus have been largely responsible for the persistence of substance metaphysics. But as Plato was well aware, an ontology of substantial things raises serious, perhaps insurmountable problems for any account of our ...

 

Aim that Bow! An Interactivist Gaze at the Problem of Intentional Tracking

  [CiTO]
Axiomathes (10 November 2010), pp. 1-31, doi:10.1007/s10516-010-9133-9

Abstract

In this essay I offer a theory of the outward directedness of intentional states, namely, an account of what makes intentional states directed at their respective intentional objects. The theory is meant to be complementary to the canonical interactivist account of mental content in that the latter emphasizes the predicative, intensional, and internal aspects of representation whereas here I shall focus on its denotative, extensional, and external aspects. Thus, the aim is to establish that the two projects are not only ...

 

Rationality as Effective Organisation of Interaction and Its Naturalist Framework

  [CiTO]
Axiomathes (8 November 2010), pp. 1-74, doi:10.1007/s10516-010-9131-y

Abstract

The point of this paper is to provide a principled framework for a naturalistic, interactivist-constructivist model of rational capacity and a sketch of the model itself, indicating its merits. Being naturalistic, it takes its orientation from scientific understanding. In particular, it adopts the developing interactivist-constructivist understanding of the functional capacities of biological organisms as a useful naturalistic platform for constructing such higher order capacities as reason and cognition. Further, both the framework and model are marked by the finitude and fallibility ...

 

The Interactivist Social Ontology of Persons: A Descriptive and Evaluative Synthesis, with Two Suggestions

  [CiTO]
Axiomathes (6 February 2010), doi:10.1007/s10516-009-9095-y

Abstract

Abstract  Within the interactivist, process approach to metaphysics, Bickhard (Social life and social knowledge: toward a process account of development. Lawrence Erlbaum, New York, 2008a; Topoi 27: 139–149, 2008b; New Ideas Psychol, in press) has developed a social ontology of persons that avoids many well-known philosophical difficulties concerning the genesis, development, and application of the rational and moral capabilities and responsibilities that characterize persons. Interactivism positions developing persons inside sets of social conventions within which they participate in their own constitution as ...

 

The Bearable Lightness of Being

  [CiTO]
Axiomathes (15 June 2010), doi:10.1007/s10516-010-9114-z

Abstract

Abstract  How are philosophical questions about what kinds of things there are to be understood and how are they to be answered? This paper defends broadly Fregean answers to these questions. Ontological categories—such as object, property, and relation—are explained in terms of a prior logical categorization of expressions, as singular terms, predicates of varying degree and level, etc. Questions about what kinds of object, property, etc., there are are, on this approach, reduce to questions about truth and logical form: for example, ...

 

A Top-Down Approach to a Complex Natural System: Protein Folding

  [CiTO]

Abstract

Abstract  We develop a general method for applying functional models to natural systems and cite recent progress in protein modeling that demonstrates the power of this approach. Functional modeling constrains the range of acceptable structural models of a system, reduces the difficulty of finding them, and improves their fidelity. However, functional models are distinctly different from the structural models that are more commonly applied in science. In particular, structural and functional models ask different questions and provide different kinds of answers. As ...

 

Time Scales of Observation and Ontological Levels of Reality

  [CiTO]
Axiomathes (25 May 2010), doi:10.1007/s10516-010-9099-7

Abstract

Abstract  My goal is to conceive how the reality would look like for hypothetical creatures that supposedly perceive on time scales much faster or much slower than that of us humans. To attain the goal, I propose modelling in two steps. At step one, we have to single out a unified parameter that sets time scale of perception. Changing substantially the value of the parameter would mean changing scale. I argue that the required parameter is duration of discrete perceptive frames, or ...

 

How to Define Extrinsic Properties

  [CiTO]

Abstract

Abstract  There are, broadly, three sorts of account of intrinsicality: ‘self-sufficiency’, ‘essentiality’ and ‘pure qualitativeness’. I argue for the last of these, and urge that we take intrinsic properties of concrete objects to be all and only those shared by actual or possible duplicates, which only differ extrinsically. This approach gains support from Francescotti’s approach: defining ‘intrinsic’ in contradistinction to extrinsic properties which ‘consist in’ relations which rule out intrinsicality. I answer Weatherson’s criticisms of Francescotti, but, to answer criticisms of my ...

 

Anti-Positionalism’s Regress

  [CiTO]
Axiomathes (26 March 2010), doi:10.1007/s10516-010-9097-9

Abstract

Abstract  This paper is about the Problem of Order, which is basically the problem how to account for both the distinctness of facts like a’s preceding b and b’s preceding a, and the identity of facts like a’s preceding b and b’s succeeding a. It has been shown that the Standard View fails to account for the second part and is therefore to be replaced. One of the contenders is Anti-Positionalism. As has recently been pointed out, however, Anti-Positionalism falls prey to ...

 

Relational Biology of Symbiosis

  [CiTO]
Axiomathes (11 August 2010), pp. 1-15-15, doi:10.1007/s10516-010-9117-9

Abstract

I formulate in relational terms the ubiquitous biological interaction of symbiosis. I explicate the topology of the different modes of relational interactions of (M, R)-networks, the entailment diagrams that model the host and the symbiont. These modes all have biological realizations as various categories of symbiotic relationships, ranging from mutualism to parasitism to infection. ...

 

Names Introduced with the Help of Unsatisfied Sortal Predicates: Reply to Aranyosi

  [CiTO]

Abstract

Abstract  In this paper I answer Aranyosi’s (Axiomathes 19(2):223–224, 2009) criticism of my “Is Phosphorus Hesperus?” (Axiomathes 19(1):101–102, 2009). ...

 

Introduction

  [CiTO]
Axiomathes (19 June 2010), doi:10.1007/s10516-010-9113-0
 

Consistency, Models, and Soundness

  [CiTO]
 

Structural Universals as Structural Parts: Toward a General Theory of Parthood and Composition

  [CiTO]
Axiomathes (6 June 2010), doi:10.1007/s10516-010-9105-0

Abstract

Abstract  David Lewis famously argued against structural universals since they allegedly required what he called a composition “sui generis” that differed from standard mereological composition. In this paper it is shown that, although traditional Boolean mereology does not describe parthood and composition in its full generality, a better and more comprehensive theory is provided by the foundational theory of categories. In this category-theoretical framework a theory of structural universals can be formulated that overcomes the conceptual difficulties that Lewis and his followers ...

 

Structuralism and the Applicability of Mathematics

  [CiTO]
Axiomathes (29 May 2010), doi:10.1007/s10516-010-9102-3

Abstract

Abstract  In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that mathematics is not the science of a particular type of objects, but of structural properties of arbitrary domains of entities, regardless of whether they are actually existing, merely presupposed or only intentionally intended. ...

 

Metatheoretical Structuralism: a General Program for Analyzing Science

  [CiTO]
Axiomathes (1 June 2010), doi:10.1007/s10516-010-9106-z

Abstract

Abstract  In spite of the ‘experimental turn’ now fashionable in the philosophy of science, the question of the structure and identity criteria of scientific theories continues to be a central issue for the philosophical analysis of empirical science. We need a precise metatheory of empirical theories to deal with this issue. Metatheoretical structuralism appears to offer the most adequate approach in this sense so far. First, some basic intuitions about what empirical theories are, and how they are structured, are laid out. ...

 

Contingency in Nature

  [CiTO]

Abstract

Abstract  Contingencies in Nature may be explained, but such explanations refer to other contingencies (pt. I). Is there a way to “explain away” all contingencies? The first physical theory of modern times, Newton’s theory of gravitation, was received in a way that leaves this question open (pt. II), while Kepler’s theory of cosmological harmony arrived at a positive solution (pt. III). However, later developments in science outdated Kepler’s approach (pt. IV). ...

 

Philosophy of Mathematics in the Warsaw Mathematical School

  [CiTO]
Axiomathes (5 June 2010), doi:10.1007/s10516-010-9107-y
posted by 1 person MikolkaMikolka
 

Mathematical Problem-Solving and Ontology: An Exercise

  [CiTO]
Axiomathes (26 May 2010), doi:10.1007/s10516-010-9111-2

Abstract

Abstract  In this paper the reader is asked to engage in some simple problem-solving in classical pure number theory and to then describe, on the basis of a series of questions, what it is like to solve the problems. In the recent philosophy of mind this “what is it like” question is one way of signaling a turn to phenomenological description. The description of what it is like to solve the problems in this paper, it is argued, leads to several morals ...

 

On Fundamental Differences between Dependent and Independent Meanings

  [CiTO]
Axiomathes (29 May 2010), doi:10.1007/s10516-010-9104-1

Abstract

Abstract  In “Function and Concept” and “On Concept and Object”, Frege argued that certain differences between dependent and independent meanings were inviolable and “founded deep in the nature of things” but, in those articles, he was not explicit about the actual consequences of violating such differences. However, since by creating a law that permitted one to pass from a concept to its extension, he himself mixed dependent and independent meanings, we are in a position to study some of the actual consequences ...

 

Are Proper Names Rigid Designators?

  [CiTO]
Axiomathes (29 May 2010), doi:10.1007/s10516-010-9100-5

Abstract

Abstract  A widely accepted thesis in the philosophy of language is that natural language proper names are rigid designators, and that they are so de jure, or as a matter of the “semantic rules of the language.” This paper questions this claim, arguing that rigidity cannot be plausibly construed as a property of name types and that the alternative, rigidity construed as a property of tokens, means that they cannot be considered rigid de jure; rigidity in this case must be viewed ...

 

Truth and Consistency

  [CiTO]
Axiomathes (6 June 2010), doi:10.1007/s10516-010-9112-1

Abstract

Abstract  This paper investigates relations between truth and consistency. The basic intuition is that truth implies consistency, but the reverse dependence fails. However, this simple account leads to some troubles, due to some metalogical results, in particular the Gödel-Malcev completeness theorem. Thus, a more advanced analysis is required. This is done by employing the concept of ω-consistency and ω-inconsistency. Both concepts motivate that the concept of the standard truth should be introduced as well. The results are illustrated by an interpretation of ...

 

Chateaubriand’s Realist Conception of Logic

  [CiTO]
Axiomathes (1 June 2010), doi:10.1007/s10516-010-9109-9

Abstract

Abstract  I present the realist conception of logic supported by Oswaldo Chateaubriand which integrates ontological and epistemological aspects, opposing it to mathematical and linguistic conceptions. I give special attention to the peculiarities of his hierarchy of types in which some properties accumulate and others have a multiple degree. I explain such deviations of the traditional conception, showing the underlying purpose in each of these peculiarities. I compare the ideas of Chateaubriand to the similar ideas of Frege, Tarski and Gödel. I suggest ...

 

A Defense of Second-Order Logic

  [CiTO]
Axiomathes (4 June 2010), doi:10.1007/s10516-010-9101-4

Abstract

Abstract  Second-order logic has a number of attractive features, in particular the strong expressive resources it offers, and the possibility of articulating categorical mathematical theories (such as arithmetic and analysis). But it also has its costs. Five major charges have been launched against second-order logic: (1) It is not axiomatizable; as opposed to first-order logic, it is inherently incomplete. (2) It also has several semantics, and there is no criterion to choose between them (Putnam, J Symbol Logic 45:464–482, 1980). Therefore, it ...

 

Some Uses of Logic in Rigorous Philosophy

  [CiTO]
Axiomathes (17 June 2010), doi:10.1007/s10516-010-9108-x

Abstract

Abstract  This paper is concerned with the use of logic to solve philosophical problems. Such use of logic goes counter to the prevailing empiricist tradition in analytic circles. Specifically, model-theoretic tools are applied to three fundamental issues in the philosophy of logic and mathematics, namely, to the issue of the existence of mathematical entities, to the dispute between first- and second-order logic and to the definition of analyticity. ...

 

Defining Pictorial Style: Lessons from Linguistics and Computer Graphics

  [CiTO]
Axiomathes, Vol. 15, No. 3. (September 2005), pp. 319-351, doi:10.1007/s10516-004-5449-7
posted by 1 person GJNauta
 

Visual Perception in Japanese Rock Garden Design

  [CiTO]
Axiomathes, Vol. 15, No. 3. (September 2005), pp. 353-371, doi:10.1007/s10516-004-5448-8
 

Some Aspects of Product Shape in Mechanical Engineering

  [CiTO]
Axiomathes, Vol. 15, No. 3. (September 2005), pp. 373-397, doi:10.1007/s10516-004-5450-1
 

The Epistemological Status of Vision and its Implications for Design

  [CiTO]
Axiomathes, Vol. 15, No. 3. (September 2005), pp. 399-486, doi:10.1007/s10516-004-5445-y
 

Oppositions and Paradoxes in Mathematics and Philosophy

  [CiTO]
Axiomathes, Vol. 15, No. 2. (June 2005), pp. 165-180, doi:10.1007/s10516-004-6675-8
 

Complex Systems from the Perspective of Category Theory: II. Covering Systems and Sheaves

  [CiTO]
Axiomathes, Vol. 15, No. 2. (June 2005), pp. 181-190, doi:10.1007/s10516-004-6676-7
 

Identity, Indiscernibility, and Philosophical Claims

  [CiTO]
Axiomathes, Vol. 15, No. 2. (June 2005), pp. 191-210, doi:10.1007/s10516-004-6678-5
 

Third Culture: Cybersemiotic's Inclusion of a Biosemiotic Theory of Mind

  [CiTO]
Axiomathes, Vol. 15, No. 2. (June 2005), pp. 211-228, doi:10.1007/s10516-004-6677-6
 

A Biosemiotic and Ecological Approach to Music Cognition: Event Perception Between Auditory Listening and Cognitive Economy

  [CiTO]
Axiomathes, Vol. 15, No. 2. (June 2005), pp. 229-266, doi:10.1007/s10516-004-6679-4
 

Quality Instances and the Structure of the Concrete Particular

  [CiTO]
Axiomathes, Vol. 15, No. 2. (June 2005), pp. 267-292, doi:10.1007/s10516-004-6680-y
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