Logical Atomism

Abstract: Lucretius made it plain that his poem was designed to liberate man from superstition, the fear of death and the tyranny of priests: \"When man’s life lay for all to see foully groveling upon the ground, crushed, which displayed her head from the regions of heaven, lowering over mortals with horrible aspect, a man of Greece was the first that dared to uplift mortal eyes against her. . . . but all the more they goaded the eager courage of (...) his soul, so that he should desire, first of all men, to shatter the confining bars of nature’s gates. \". (shrink)

We have to begin with the pyramid (pi-diameter-circumference). In order to understand an 'idea.' And, the history of ideas.

This article initially presents Ernst Mach's anti-realist or instrumentalist stance that underpin his opposition to atomism and reveal his idea that science should be based totally on objectively observable facts. Then, the details of Mach's phenomenalist arguments which recognize only sensations as real are revealed. Phenomenalist thought is not compatible with the idea of realism, which evaluates unobservable entities such as atom, molecule and quark as mind-independent things. In this context, Mach considers the atom as a thought symbol or a (...) metaphysical fiction. This results in the idea that the existence of matter or entity is not independent of the perceiving minds, which is considered Mach’s subjective idealism. As a result of these arguments, the article argues that it would not be wrong to associate Mach's thoughts with solipsism, a radical form of subjective idealism. -/- Bu makalede ilk olarak Ernst Mach’ın atomun varlığına ilişkin itirazının temelini oluşturan ve bilimin sadece gözlemlenebilir olgulara dayandırılması gerektiği yönündeki düşüncelerini ortaya koyan anti-realist ya da enstrümantalist görüşlerine yer verilmektedir. Ardından Mach’ın enstrümantalist tavrının alt metninde bulunan ve yalnızca duyumları gerçek olarak kabul eden fenomenalist argümanlarının ayrıntıları serimlenecektir. Fenomenalist düşünce atom, molekül ve kuark gibi gözlemlenemeyen varlıkları zihinden bağımsız şeyler olarak değerlendiren realizm düşüncesi ile uyuşmamaktadır. Bu bağlamda yapılan incelemeler, Mach’ın atomu bir düşünce sembolü ya da metafiziksel bir kurgu olarak değerlendirmesine ve dış dünyadaki varlıkların var olmasını, onların bir zihin tarafından duyumsanması koşuluna bağlaması ile sonuçlanmaktadır. Makalede Mach’ın öznel idealizmi olarak ele alabileceğimiz bu argümanlarının radikal bir sonucu olarak onun düşüncelerini solipsizm ile ilişkilendirmenin yanlış olmayacağı sonucuna varılmaktadır. (shrink)

Wittgenstein’s atomist picture, as embodied in his Tractatus, is initially very appealing. However, it faces the famous colour-exclusion problem. In this paper, I shall explain when the atomist picture can be defended in the face of that problem; and, in the light of this, why the atomist picture should be rejected. I outline the atomist picture in Section 1. In Section 2, I present a very simple necessary and sufficient condition for the tenability of the atomist picture. The condition is: (...) logical space is a power of two. In Sections 3 and 4, I outline the colour-exclusion problem, and then show how the cardinality-condition supplies a response to exclusion problems. In Section 5, I explain how this amounts to a distillation of a proposal due to Moss, which goes back to Carruthers. And in Section 6, I show how all this vindicates Wittgenstein’s ultimate rejection of the atomist picture. The brief reason is that we have no guarantee that there are any solutions to a given exclusion problem but, if there are any, then there are far too many. (shrink)

Wittgenstein introduced his claim about colour incompatibility originally in the Tractatus Logico-Philosophicus , where he stated that there could be only one colour in one place and time. It is commonly believed that Wittgenstein abandoned his conception of logical atomism when he realized the consequences of this claim. The aim of this article is to provide an interpretation of the colour incompatibility claim in terms of Wittgenstein’s phenomenology. I will focus on two works of great significance for the claim: Some (...) Remarks on Logical Form and Philosophical Remarks . These two works were written between 1929 and 1930, which is the beginning of the “middle period” in Wittgenstein’s philosophy. I will focus not only on Wittgenstein’s formulation of the colour incompatibility claim, but also on how this claim was justified. The explanation of Wittgenstein’s justification of this claim will help to understand his phenomenology and theory of philosophical grammar. (shrink)

We address an argument by Floridi (Synthese 168(1):151–178, 2009; 2011a), to the effect that digital and analogue are not features of reality, only of modes of presentation of reality. One can therefore have an informational ontology, like Floridi’s Informational Structural Realism, without commitment to a supposedly digital or analogue world. After introducing the topic in Sect. 1, in Sect. 2 we explain what the proposition expressed by the title of our paper means. In Sect. 3, we describe Floridi’s argument. In (...) the following three sections, we raise three difficulties for it, (i) an objection from intuitions: Floridi’s view is not supported by the intuitions embedded in the scientific views he exploits (Sect. 4); (ii) an objection from mereology: the view is incompatible with the world’s having parts (Sect. 5); (iii) an objection from counting: the view entails that the question of how many things there are doesn’t make sense (Sect. 6). In Sect. 7, we outline two possible ways out for Floridi’s position. Such ways out involve tampering with the logical properties of identity, and this may be bothersome enough. Thus, Floridi’s modus ponens will be our (and most ontologists’) modus tollens. (shrink)

Cellular automata (henceforth: CA) are discrete, abstract computational systems that have proved useful both as general models of complexity and as more specific representations of non-linear dynamics in a variety of scientific fields. Firstly, CA are (typically) spatially and temporally discrete: they are composed of a finite or denumerable set of homogeneous, simple units, the atoms or cells. At each time unit, the cells instantiate one of a finite set of states. They evolve in parallel at discrete time steps, following (...) state update functions or dynamical transition rules: the update of a cell state obtains by taking into account the states of cells in its local neighborhood (there are, therefore, no actions at a distance). Secondly, CA are abstract, as they can be specified in purely mathematical terms and implemented in physical structures. Thirdly, CA are computational systems: they can compute functions and solve algorithmic problems. Despite functioning in a different way from traditional, Turing machine-like devices, CA with suitable rules can emulate a universal Turing machine, and therefore compute, given Turing's Thesis, anything computable.... (shrink)

He explores Russell's logical atomism, which applies logic to problems in the theory of knowledge and metaphysics and was central to Russell's work over this period.

It is commonly assumed that facts would be complex entities made out of particulars and universals. This thesis, which I call Compositionalism, holds that parthood may be construed broadly enough so that the relation that holds between a fact and the entities it ‘ties’ together counts as a kind of parthood. I argue firstly that Compositionalism is incompatible with the possibility of certain kinds of fact and universal, and, secondly, that such facts and universals are possible. I conclude that Compositionalism (...) is false. What all these kinds of fact and universal have in common is a violation of supplementation principles governing any relation that may be intelligibly regarded as a kind of parthood. Although my arguments apply to Compositionalism generally, I focus on recent work by David Armstrong, who is a prominent and explicit Compositionalist. (shrink)

Bertrand Russell (1872-1970) described his philosophy as a kind of “logical atomism”, by which he meant to endorse both a metaphysical view and a certain methodology for doing philosophy. The metaphysical view amounts to the claim that the world consists of a plurality of independently existing things exhibiting qualities and standing in relations. According to logical atomism, all truths are ultimately dependent upon a layer of atomic facts, which consist either of a simple particular exhibiting a quality, or mutliple simple (...) particulars standing in a relation. The methodological view recommends a process of analysis, whereby one attempts to define or reconstruct more complex notions or vocabularies in terms of simpler ones. According to Russell, at least early on during his logical atomist phase, such an analysis could eventually result in a language containing only words representing simple particulars, the simple properties and relations thereof, and logical constants, which, despite this limited vocabulary, could adequately capture all truths. (shrink)

Friends of states of affairs and structural universals appeal to a relation, structure-making, that is allegedly a kind of composition relation: structure-making ?builds? facts out of particulars and universals, and ?builds? structural universals out of unstructured universals. D. M. Armstrong, an eminent champion of structures, endorses two interesting theses concerning composition. First, that structure-making is a composition relation. Second, that it is not the only (fundamental) composition relation: Armstrong also believes in a mode of composition that he calls mereological, and (...) which he takes to be the only kind of composition recognized by his philosophical adversaries, such as David Lewis. Armstrong, accordingly, is a kind of pluralist about compositional relations: there is more than one way to make wholes from parts. In this paper, I critically evaluate Armstrong's compositional pluralism. (shrink)

This paper aims to present concisely the Islamic kalām atomism as an alternative philosophy to Hellenizing falsafa. Kalām is a theological-philosophical discourse which, first ventured to rival the falsafa represented early by al-Kindī, then by al-Fārābī and Avicenna in the fourth/tenth and fifth/eleventh centuries, and which eventually appeared to be inclined to propose a mingling of the kalām discourse with falsafa in a series of varied "syntheses".—Focusing on the simple ontology of the basic kalām atomism, and noting the hybrid character (...) of kalām, the aim of this paper is to help to clarify the inevitable problematic consequences of those late ventures of Islamic intellectualism. (shrink)

El Tractatus Logico-philosophicus es una obra filosófica de una enorme complejidad. Su estilo es sentencioso, por momentos oracular, otras veces casi telegráfico, de manera que en muchas ocasiones cuesta discernir los nexos entre las diversas proposiciones. Con todo, en el "Prólogo", en particular en sus observaciones sobre la cuestión del límite, Wittgenstein proporciona algunas indicaciones de las que conviene tomar debida nota para la interpretación de la obra. Este trabajo es fundamentalmente una propuesta de interpretación de estas observaciones, de su (...) proyección sobre el Tractatus, de su relevancia para comprender la naturaleza, de la ruptura operada por Wittgenstein en las Investigaciones filosóficas. -/- THE PROBLEM OF THE LIMIT AND THE TRACTATUS AS A TRANSCENDENTAL REFLECTION Tractatus Logico-philosophicus is a very complex philosophical work. It is writen by means of short phrases in a oracular style. Some parts are telegraphic, in such a way that it becomes difficult to elucidate the links among the different propositions. However, in the "preface", in particular in his remarks about the cuestion of the limit, Wittgenstein gives us some indications that we should consider carefully in order to interpret his work. This paper is basically a proposal to interpret the above mentioned remarks, of how they illuminate Tractatus, of how they are relevant to understand the nature of the profound change that Wittgenstein introduces in Philosophical Investigations. (shrink)

CHARLES TAYLOR, IN TWO IMPORTANT ESSAYS, offers both a refutation of what appears to be the foundations of liberalism as well as an alternative “third way” to the liberal-communitarian debate. In this paper we are broadly interested in the role of community within a liberal framework, and for that reason the Taylor essays are a useful way to begin such an exploration. There is, we believe, much in Taylor with which to agree. If liberalism somehow fails to accommodate any meaningful (...) conception of community or somehow manages to undermine the possibility of community, that would be a serious strike against it. “Atomism” is one of those concepts inherently linked by thinkers such as Taylor to liberalism. It is the sort of concept meant to evoke, if not describe, a perspective on human association that is at least problematic to community-building, if not directly undermining it. Taylor’s first essay with the title of “Atomism” explores this idea and levels the charge of anticommunity against liberalism. The second essay, “Cross Purposes: The Liberal-Communitarian Debate,” builds upon that charge but seeks to moderate the apparent antiliberal stance of the first. Our position is that liberalism is not opposed to community and that “atomism” when applied to liberalism is something of a myth — a caricature rather than an integral part of liberalism. Our specific theses will be the following: “atomism” as used by Taylor is a confused tool and one whose uses for understanding liberalism are extremely limited, if applicable at all; the applicability of “atomism” is ironically more consistent with certain forms of collectivism than with liberalism; and Taylor’s own proposed way of navigating the difference between liberalism and communitarianism is in the end a form of communitarianism and not an alternative at all. (shrink)

Synechism, as a metaphysical theory, is the view that the universe exists as a continuous whole of all of its parts, with no part being fully separate, determined or determinate, and continues to increase in complexity and connectedness through semiosis and the operation of an irreducible and ubiquitous power of relational generality to mediate and unify substrates. As a research program, synechism is a scientific maxim to seek continuities where discontinuities are thought to be permanent and to seek semiotic relations (...) where only dyadic relations are thought to exist. Synechism and pragmatism mutually support each other: synechism provides a theoretical rationale for pragmatism, while use of the pragmatic maxim to identify conceivable consequences of experimental activity enriches the content of the theory by revealing and creating relationships. (shrink)

Encyclopedia article briefly summarizing the history of atomism from antiquity to modernity.

Atomism is defined as the view that the moral value of any object is ultimately determined by simple features whose contribution to the value of an object is always the same, independently of context. A morally fundamental feature, in a given context, is defined as one whose contribution in that context is determined by no other value fact. Three theses are defended, which together entail atomism: (1) All objects have their moral value ultimately in virtue of morally fundamental features; (2) (...) If a feature is morally fundamental, then its contribution is always the same; (3) Morally fundamental features are simple. (shrink)

An article explicating Wittgenstein's logical atomism and surveying the relevant secondary literature.

One difference between Russell’s logical atomism in The Philosophy of Logical Atomism and Wittgenstein’s in the Tractatus is that Russell’s doctrine is explicitly epistemological, whereas Wittgenstein’s is not; another difference is that Wittgenstein gives an a priori argument for the doctrine of logical atomism whereas Russell gives no such argument. I argue that these two differences are instructively connected: Russell’s focus on epistemology prevents him from being able to give a motivated argument for the truth of logical atomism. Furthermore, I (...) argue that this is not just a contingent failure of Russell’s system: no primarily epistemological atomism can avail itself of Wittgenstein’s style of a priori argument for the truth of atomism. An important suggestion of the argument, illuminating with respect to the subsequent history of analytic philosophy, is that Russell’s logical atomism already contains the seeds of verificationism in a nascent form, whereas Wittgenstein’s atomism has no tendency toward verification. (shrink)

David Armstrong's book is a contribution to the philosophical discussion about possible worlds. Taking Wittgenstein's Tractatus as his point of departure, Professor Armstrong argues that nonactual possibilities and possible worlds are recombinations of actually existing elements, and as such are useful fictions. There is an extended criticism of the alternative-possible-worlds approach championed by the American philosopher David Lewis. This major work will be read with interest by a wide range of philosophers.

One of the questions that any future history of British moral philosophy in the twentieth century should investigate and document is how it came about that Moore's Principia Ethica was appropriated by what we can call the Humean tradition of moral philosophy. I shall not trace that development now but only argue that there was no excuse or justification for it.

I want to deal in this essay with the group of philosophers that G.E.M. Anscombe includes under the term ‘modern moral philosophy’ in her essay by that name. The stars of this group are Hobbes, Hume, Adam Smith, Mill, Sidgwick, Moore. I mean to include as well generally the last hundred years of emotivists, utilitarians, and those theorists who have emphasized universalizability in its various versions. For reasons which I hope will soon become clear, I will refer to this broad (...) group as the ‘atomistic tradition.’ I will be assuming, though not often saying, that the most forthright and thorough spokesman of the tradition is David Hume who, in his purely skeptical moments, was so atomistic and extensionalist that he even denied personal identity over time. Anything less than that is not purely atomistic. (shrink)

This volume collects together all of Russell's philosophical papers inspired by his work with Whitehead on Principia Mathematica.

The paper applies the theory presented in A Formal Ontology of Situations (this journal, vol. 41 (1982), no. 4) to obtain a typology of metaphysical systems by interpreting them as different ontologies of situations. Four are treated in some detail: Hume's diachronic atomism, Laplacean determinism, Hume's synchronic atomism, and Wittgenstein's logical atomism. Moreover, the relation of that theory to the situation semantics of Perry and Barwise is discussed.

Three kinds of "atoms" figure in russell's logical atomism, Though he seems to see no differences between them: logical atoms (the referents of logically proper names); epistemological atoms (things known directly or by acquaintance); and ontological atoms (basic constituents of the universe). This paper speculates on why russell believed that all three of these notions coincide, Thereby bringing out some of his unacknowledged background assumptions.

Russell's introduction of negative facts to account for the truth of "negative" sentences or beliefs rests on his collaboration with Wittgenstein in such efforts as the characterization of formal necessity, the theory of logical atomism, and the use of the Ideal Language. In examining their views we arrive at two conclusions. First, that the issue of negative facts is distinct from questions of meaning or intentionality; what a sentence or belief means or is about rather than what makes it true (...) or false. Second, that the ontological use of the Ideal Language is incompatible with the requirements of its employment in the logical study of inferences. On this basis we conclude that despite elaborations by recent proponents, the doctrine of negative facts lacks adequate support, and perhaps more importantly, it is proper ontological method to free the Ideal Language from the exigencies of a symbolism constructed for logical investigation. (shrink)

The Analysis of Perception i Moore's most systematic attempt to handle the problems of in- tentionality occurs in connection with his analysis of perception in Some Main Problems of Philosophy . He begins the book with the following ...

Three themes dominate here: 1) traditional logical atomism implies a false theory of the distinction between particulars and universals; 2) the Bergmannian transformation of logical atomism cannot offer an adequate account of that distinction without covertly assuming a theory which it expressly repudiates; and 3) classical realism, the repudiated theory, can solve the problem which logical atomism unsuccessfully addresses by a doctrine of absolute natures.

While operators for logical necessity and possibility represent "internal" conditions of propositions (or of their corresponding states of affairs), These conditions will be "formal", As is required by logical atomism, And not "material" in content if from the (pseudo) semantical point of view the modal operators range over "all the possible worlds" of a logical space rather than over arbitrary non-Empty sets of worlds (as is usually done in modal logic). Some of the implications of this requirement are noted and (...) though several variants of realist logical atomism are distinguished and discussed, The theory of logical form developed is nominalist. Many of nominalism's difficulties and inadequacies become transparent in the context of logical atomism and are so noted. (shrink)

A propositional logic with modal operators for logical necessity and possibility is formulated as a formal ontology for logical atomism (with negative facts). It is shown that such modal operators represent purely formal, Internal 'properties' of propositions if and only if the notion of 'all possible worlds' has its standard and not the secondary interpretation which it is usually given (as, E.G., In kripke model-Structures). Allowing arbitrary restrictions on the notion of 'all possible worlds', At least in such a framework (...) as logical atomism, Generates internal 'properties' of propositions with material instead of purely formal content. (shrink)

The philosophy of logical atomism.--Logical atomism.

In the Preface, Kargon states the two objectives of this monograph in the history of science: "First, I wish to bring to the attention of historians of science the existence and importance of two circles of natural philosophers which played an important role in the history of atomism. Secondly, I wish to trace the evolution of atomism and illustrate the mechanism of its establishment in England in the latter seventeenth century. In doing so, I will re-evaluate the contributions of four (...) major figures and many minor ones, including Walter Charleton, the Duke and Duchess of Newcastle, William Petty, Charles Cavendish, and John Pell". Kargon turns in cash on both promissory notes with a careful yet highly readable piece of scholarship. Some obscurities remain, however, in particular his attempt to link the Northumberland and Newcastle groups with the suggestion that Hobbes' atomism might have been influenced through his connection with John Pell. Concurrence rather than influence was more likely the case. It is also suggested that there might have been a link between Bacon's early atomism and that of Hariot's Northumberland group. But once again the arguments in favor of such a connection are inconclusive at best. Of great importance for the history of atomism is the influence maintained to have been exerted by the 1653 publication of Bacon's atomistic works; this influence was felt by the Newcastle group and the Royal Society. Most interesting, however, is the securely attested influence of the Baconian method on Barrow, Newton, and the Royal Society in general.—E. A. R. (shrink)