Indispensability and Holism

It is claimed that the indispensability argument for the existence of mathematical entities (IA) works in a way that allows a proponent of mathematical realism to remain agnostic with regard to how we establish that mathematical entities exist. This is supposed to be possible by virtue of the appeal to confirmational holism that enters into the formulation of IA. Holism about confirmation is supposed to be motivated in analogy with holism about falsification. I present an account of how holism about falsification is supposed to be motivated. I argue that the argument for holism about falsification is in tension with how we think about confirmation and with two principles suggested by Quine for construing a plausible variety of holism. Finally, I show that one of Quine’s principles does not allow a proponent of mathematical realism to remain agnostic with regard to how we establish that mathematical entities exist.     

Physicalism and Ontological Holism

The claim of this paper is that we should envisage physicalism as an ontological holism. Our current basic physics, quantum theory, suggests that, ontologically speaking, we have to assume one global quantum state of the world; many of the properties that are often taken to be intrinsic properties of physical systems are in fact relations, which are determined by that global quantum state. The paper elaborates on this conception of physicalism as an ontological holism and considers issues such as supervenience, realization of higher-order properties by basic physical properties, and reduction.     

Justice, Holism and Principles

Some moral theorists defend a holistic account of practical reasons and deny that the possibility of moral thought depends upon the existence of moral principles. This article explores the implications of this position for theorising about justice, which has often aspired to provide us with an ordered list of principles to govern our institutions and practices.

Holism, Strawberries and Hairdryers

The paper "Does Epistemological Holism lead to Meaning – Holism" (Cozzo, 2002) touches one of the main problems of a molecularist theory of meaning: how to restrict the class of inferences connected with a word, in order to define the sense of the word. I will discuss the starting point of this approach, mainly the pre-theoretical criterion against meaning holism: meaning holism, following a well-known argument by Dummett, reduces communication to a mystery. However there is a strong background assumption of this argument: communication is sharing the same meanings. Accepting this assumption without acknowledging it makes the entire proposal more problematic than it appears at first sight. In what follows I will try to clarify the possibility of a different reaction to meaning holism, putting forward some distinctions which come to light when the above stated assumption is made explicit. Then, some other comments will follow on the difficulty of avoiding extreme meaning holism, even within Cozzo's elegant attempt to implement a molecularist vision; in the end, his notion of the sense of a word will appear to be difficult to define, if these holistic aspects of language take the space they deserve even in his theory. I conclude with two remarks regarding two relevant requirements for a theory of meaning (conservativeness and harmony). This revised version was published online in June 2006 with corrections to the Cover Date.     

Evidential Holism and Indispensability Arguments

The indispensability argument is a method for showing that abstract mathematical objects exist (call this mathematical Platonism). Various versions of this argument have been proposed (§1). Lately, commentators seem to have agreed that a holistic indispensability argument (§2) will not work, and that an explanatory indispensability argument is the best candidate. In this paper I argue that the dominant reasons for rejecting the holistic indispensability argument are mistaken. This is largely due to an overestimation of the consequences that follow from evidential holism. Nevertheless, the holistic indispensability argument should be rejected, but for a different reason (§3)—in order that an indispensability argument relying on holism can work, it must invoke an unmotivated version of evidential holism. Such an argument will be unsound. Correcting the argument with a proper construal of evidential holism means that it can no longer deliver mathematical Platonism as a conclusion: such an argument for Platonism will be invalid. I then show how the reasons for rejecting the holistic indispensability argument importantly constrain what kind of account of explanation will be permissible in explanatory versions (§4).     

Defining and Defending Social Holism

Abstract

This paper offers a definition of social holism that makes the doctrine non-trivial but possibly true. According to that definition, the social holist maintains that people depend non-causally on interaction with one another for possession of the capacity to think; the thesis is meant to be a contingent truth but one, like physicalism, that is plausible in the light of some a priori argument and some plausible empirical assumptions. The paper also sketches an argument in support of social holism, which connects with themes in a number of traditions, philosophical and sociological. The key idea is that people depend on socially shared dispositions and responses for the ability to identify – identify fallibly – the properties and other entities that they consider in each individual has to the course of thinking.     

Holism vs. Wholism

Ervin Laszlo's Science and the Akashic Field claims that there is a shift in Zeitgeist that allows us to view a field that entails coherence among residents of the universe, residents that hitherto have seemed far apart both in space and time. I agree with this claim but suggest that we need to clear up several ambiguities that have hindered understanding and therefore acceptance. Basic to clarification are an understanding of waves, spectra, and the formulations of quantum physics.     

Stephen Clark's Green Holism

S.R.L. Clark is a prominent defender of environmental holism and an advocate of the better treatment of other species. Not coincidentally, he is also a defender of a Neoplatonic Theism which holds that (a) the presuppositions of reason have theistic implications and (b) the point of the world is to exemplify beauty, or all the forms of beauty. Here I examine certain aspects of his view. I do so because I'm drawn to his main holist conclusion: we should live according to those rules that will allow as many creatures as possible, of as many kinds, their best chance of living a satisfactory life according to their kind. However, I express doubts about his general route to the principle.     

Semantic Holism is seriously false

Semantic Holism is the claim that any semantic path from inferential semantics (the indeterminate semantics forced by the classical inference rules of PC) reaches all the way to classical semantics if it is even one step long. In our joint paper Semantic Holism, Belnap and I showed that some such semantic paths are two steps long, but we left open a number of questions about the lengths of semantic paths. Here I answer the most important of these questions by showing that there are infinitely long semantic paths that begin at inferential semantics but that do not even reach classical semantics. I do this by showing how to construct such an infinite semantic path from the members of the family of (n–1)-out-of-n-disjunction connectives.     

Reconciling Semantic Dispositionalism with Semantic Holism

Dispositionalist theories of mental content have been attacked on the grounds that they are incompatible with semantic holism. In this paper, I resist important worries of this variety, raised by Paul Boghossian. I argue that his objections can be avoided by a conceptual role version of dispositionalism, where the multifarious relationships between mental contents are grounded on the relationships between their corresponding, grounding dispositions.     

Holism and eclecticism in the theory of concepts

Abstract

Howard (1992) defines concepts as the information that a person has about a category, and argues for an eclectic theory of concepts on the basis of this definition. We argue that this definition is unacceptable and hence that eclecticism does not follow. First, the definition is circular as it stands. Secondly, when it is modified to avoid circularity, it implies conceptual holism, according to which concepts are not useful explanatory constructs in psychology. Thirdly, we argue that Howard's argument relies essentially on this unacceptable definition: alternative accounts of concepts, namely categorisational or representational views, do not support it. Having countered the argument for eclecticism, we then argue against it directly on methodological grounds.     

Holism,Particularity, and the Vividness of Life

The Journal of Ethics - John Martin Fischer’s Death, Immorality, and Meaning in Life puts forth a view of the individual experiences that could provide us with sources of endless...