My aim in this chapter is to explore an analogy between logic and ethics, as Wittgenstein understands them in the Tractatus. First, I argue that Wittgenstein regards logic as a condition of the possibility of meaning, in the sense that logic makes meaningful language and thought possible. Second, I ask why Wittgenstein calls both logic and ethics ‘transcendental’. I suggest that, while logic is a condition of the possibility of semantic meaning, ethics is a condition of the possibility of (...) existential meaning. Without ethics, life could not be meaningful. Third, I show that harmony and agreement play a crucial role in Wittgenstein’s accounts of logic and ethics. A meaningful proposition can be true or false, a meaningful life can be happy or unhappy, and both truth and happiness consist in some kind of harmony or agreement with reality. (shrink)

Tractatus Politico-Philosophicus (Political-Philosophical Treatise) aims to establish the principles of good governance and of a happy society, and to open up new directions for the future development of humankind. W. Julian Korab-Karpowicz demonstrates the necessity of, and provides a guide for, the redirection of humanity. He argues that this paradigm shift must involve changing the character of social life and politics from competitive to cooperative, encouraging moral and intellectual virtues, providing foundations for happy societies, promoting peace among countries and (...) building a strong international community. (shrink)

In the Tractatus Wittgenstein criticizes Frege and Russell's view that laws of inference (Schlussgesetze) "justify" logical inferences. What lies behind this criticism, I argue, is an attack on Frege and Russell's conceptions of logical entailment. In passing, I examine Russell's dispute with Bradley on the question whether all relations are "internal".

This paper is divided in four parts. In the first part we introduce the method of internal critique of philosophical theories by examination of their external consistency with scientific theories. In the second part two metaphysical and one epistemological postulate of Wittgenstein's Tractatus are made explicit and formally expressed. In the third part we examine whether Tractarian metaphysical and epistemological postulates (the independence of simple states of affairs, the unique mode of their composition, possibility of complete empirical knowledge) are (...) externally consistent with the theory of quantum mechanics. The result of the inquiry is negative: Tractarian postulates ought to be be revised. Relying on the result we approach the question of the empirical character of logic in the fourth part. The description of theoretical transformations of the notion of disjunction, in its ontological, epistemological, and logical sense, is a common element of in all parts of the text. The conjecture on the existence of different types of disjunctive connectives in the language of quantum mechanics concludes the paper. (shrink)

The notion of the riddle plays a pivotal role in Wittgenstein’s Tractatus . By examining the comparisons he draws between philosophical problems and riddles, this paper offers a reassessment of the aims and methods of the book. Solving an ordinary riddle does not consist in learning a new fact; what it requires is that we transform the way we use words. Similarly, Wittgenstein proposes to transform the way philosophers understand the nature of their problems. But since he holds that (...) these problems are ultimately unsolvable, rather than attempting to solve the riddles of philosophy, he aims to dissolve them. (shrink)

Cora Diamond has claimed that Wittgenstein’s Tractatus contains an early ‘private language argument’: an argument that private objects in other people’s minds can play no role in the language I use for talking about their sensations. She further claims that the Tractatus contains an early version of the later idea that an inner process stands in need of outward criteria. The paper argues against these claims, on the grounds that they depend on an unwarranted construal of the (...) class='Hi'>Tractatus’s notion of use. It is further argued that Diamond’s interpretation makes a mystery of the relation between the Tractatus and Wittgenstein’s 1929 account of sensation language, set out in Philosophical Remarks and elsewhere. Finally, the paper considers and defends Michael Dummett’s contention that the Tractatus is a paradigm of semantic realism, in the light of Diamond’s claim that the Tractatus in fact suggests a form of anti-realism about sensation language. (shrink)

Mi objetivo es discutir las principales dificultades que Frank P. Ramsey encontró en Principia Mathematica y la solución que, vía el Tractatus Logico-Philosophicus, propuso al respecto. Sostengo que las principales dificultades que Ramsey encontró en Principia Mathematica están, todas, relacionadas con que Russell y Whitehead desatendieron la forma lógica de las proposiciones matemáticas, las cuales, según Ramsey, deben ser tautológicas.

Study of Wittgenstein's claim in the Preface of the Tractatus that his thoughts are unassailably true and his declaration at the end of the work that his propositions are nonsensical.

Over fifteen years have passed since Cora Diamond and James Conant turned Wittgenstein scholarship upside down with the program of “resolute” reading, and ten years since this reading was crystallized in the major collection _The New Wittgenstein_. This approach remains at the center of the debate about Wittgenstein and his philosophy, and this book draws together the latest thinking of the world’s leading Tractatarian scholars and promising newcomers. Showcasing one piece alternately from each “camp”, _Beyond the Tractatus Wars_ pairs (...) newly commissioned pieces addressing differing views on how to understand early Wittgenstein, providing for the first time an arena in which the debate between “strong” resolutists, “mild” resolutists and “elucidatory” readers of the book can really take place. The collection includes famous “samizdat” essays by Warren Goldfarb and Roger White that are finally seeing the light of day. (shrink)

This article discusses the relation between the early Wittgenstein’s and Carnap’s philosophies of logic, arguing that Carnap’s position in The Logical Syntax of Language is in certain respects much closer to the Tractatus than has been recognized. In Carnapian terms, the Tractatus’ goal is to introduce, by means of quasi-syntactical sentences, syntactical principles and concepts to be used in philosophical clarification in the formal mode. A distinction between the material and formal mode is therefore already part of the (...) Tractatus’ view, and its method for introducing syntactical concepts and principles should be entirely acceptable for Carnap by his own criteria. Moreover, despite the Tractatus’ rejection of syntactical statements, there is an important correspondence between Wittgenstein’s saying-showing distinction and Carnap’s object-language-syntax-language distinction: both constitute a distinction between logico-syntactical determinations concerning language and language as determined or described by those determinations. Wittgenstein’s distinction therefore constitutes a precursor of the object-language syntax-language distinction which the latter in a certain sense affirms, rather than simply contradicting it. The saying-showing distinction agrees with Carnap’s position also in marking logic as something that isn’t true/false about either language or reality, which is a conception that underlies Carnap’s principle of tolerance. (shrink)

This is a draft and much shortened version of one of my most abstract and ambition works hitherto. It is deeply theoretical and extremely influenced by Wittgenstein. It is named after his Tractatus as a tribute. -/- In the parts of the work in this draft I attempt to map out the meanings of social propositions and how the social world and metasociology itself forms out of them. I also briefly introduce my Wittgensteinian Equivalence Theory in this work, but (...) the the version presented herein is simplified as it was applied only to the nature of social propositions. -/- Much of this work is liable to significant change in the future, and I do not expect to finish it until much later into my 20s. (shrink)

The paper puts forward that the basic principle of Wittgenstein’s Tractatus (4.0312) transforms “the supreme principle of all synthetic judgments a priori” in Kant’s “Critique of Pure Reason” (A158/B197) from a level of reason to the level of language. Both philosophers, Kant and Wittgenstein, put forward a transcendental principle and both hold a formal identity true, Kant an identity between the form of experience and the form of the object of experience, Wittgenstein an identity between the form of a (...) sentence and the form of a fact. Both transform the identity of thinking and being first formulated by Parmenides “... to gar auto noein estin te kai einai“ (D/K.B3) . (shrink)

The aim of my paper is to describe and evaluate different conceptions of holism in Ludwig Wittgenstein’s Tractatus Logico-Philosophicus. I distinguish three readings of holistic elements in this work: i) Minimal Holism (E. Anscombe, M. Black, D. Pears); ii) Moderate Holism (J. Conant, C. Diamond, G. Ryle); and iii) Radical Holism (G. Bar-Elli, M. Kremer, P. Livingston). The conclusion is that the most viable option is Moderate Holism since it embraces the logico-syntactical notion of use, rejects an anachronistic interpretation (...) of Tractatarian ontology and allows us to see that the holistic elements are complementary to the initial atomism of the work. Moreover, I point to the consequences of the topic for the overall reading of Wittgenstein’s early and late work. (shrink)

I present a reconstruction of the logical system of the Tractatus, which differs from classical logic in two ways. It includes an account of Wittgenstein’s “form-series” device, which suffices to express some effectively generated countably infinite disjunctions. And its attendant notion of structure is relativized to the fixed underlying universe of what is named. -/- There follow three results. First, the class of concepts definable in the system is closed under finitary induction. Second, if the universe of objects is (...) countably infinite, then the property of being a tautology is \Pi^1_1-complete. But third, it is only granted the assumption of countability that the class of tautologies is \Sigma_1-definable in set theory. -/- Wittgenstein famously urges that logical relationships must show themselves in the structure of signs. He also urges that the size of the universe cannot be prejudged. The results of this paper indicate that there is no single way in which logical relationships could be held to make themselves manifest in signs, which does not prejudge the number of objects. (shrink)

The question of ontological foundation has undergone a noteworthy revival in recent years: metaphysicians today quarrel about how exactly to understand the asymmetrical and hyperintensional relationship of grounding. One of the reasons for this revival is that the old quantificationalist meta-ontology inherited from Quine has been effectively criticised by leading philosophers favourable to a meta-ontology, the aim of which is to come to know “which facts/items ground (constitute the base of) which other facts/items”, thus to examine the relation of ontological (...) dependence between beings (e.g. chemical properties depend on physical properties, the economic situation on the behaviour of individuals etc.), i.e. to explore the hierarchical structure of reality. I shall not discuss here the relationship of grounding in itself, but make some historical-formal remarks on the properties of the ultimate ontological foundational item itself and its aporetic nature. To do so I explore various more or less exotic philosophical ecosystems in the following order: Heidegger (Seyn), Plato (ἕν), Wáng Bi (道, dào). On the way I shall propose a new interpretation both of certain hypotheses in the Parmenides and of the nature of the opposition between Wáng Bì and Guō Xiàng in regard to the logical grammar of the expression “nothing (無, wú)” (transl. J. Dudley). (shrink)

An essay on Wittgenstein's conception of nonsense and its relation to his idea that "logic must take care of itself". I explain how Wittgenstein's theory of symbolism is supposed to resolve Russell's paradox, and I offer an alternative to Cora Diamond's influential account of Wittgenstein's diagnosis of the error in the so-called "natural view" of nonsense.

Aus dem Inhalt Vorrede 7 Ontologie der Substanz 12 Die Letztbegründung der Welt 24 Metaphysik und Transzendenz 40 Das Nichts 54 Zur Erkenntnistheorie 65 Möglichkeit und Kausalität 102 Subjekt, Determination, Freiheit 120 Bewusstsein - Unbewusstes 148 Gesellschaft und Sein 157 Versuch über Sartre 165 Philosophie der Geschichte 182 -/- .

The paper puts forward that the basic principle of Wittgenstein’s Tractatus (4.0312) transforms the supreme principle of all synthetic judgments a priori in Kant’s Critique of Pure Reason (A158/B197) from a level of reason to the level of language. Both philosophers, Kant and Wittgenstein, put forward a transcendental principle and both hold a formal identity true, Kant an identity between the form of experience and the form of the object of experience, Wittgenstein an identity between the form of a (...) sentence and the form of a fact. (shrink)

Wittgenstein's Tractatus Logico-Philosophicus -Irfan Ajvazi.

The paper puts forward that the basic principle of Wittgenstein’s Tractatus (4.0312) transforms “the supreme principle of all synthetic judgments a priori” in Kant’s “Critique of Pure Reason” (A158/B197) from a level of reason to the level of language. Both philosophers, Kant and Wittgenstein, put forward a transcendental principle and both hold a formal identity true, Kant an identity between the form of experience and the form of the object of experience, Wittgenstein an identity between the form of a (...) sentence and the form of a fact. Both transform the identity of thinking and being first formulated by Parmenides “... to gar auto noein estin te kai einai“ (D/K.B3). (shrink)

The supposition that Wittgenstein's Tractatus advances a certain metaphysics has given rise to a controversy over the ontological status of his Tractarian objects. It has been debated, for instance, whether these objects consist only of particulars or of both particulars and universals; whether they are physical, phenomenal, or phenomenological entities; and whether they correspond to Russell's objects of acquaintance or Kant's phenomena and substance. In this essay, I endorse Ishiguro's view that these objects, being formal concepts, are ontologically neutral (...) and thus are not identifiable with any ontological kind of entities. I elaborate on the coherence of this view with the propositional dependence of the meaning of Tractarian names. After showing why some arguments for ascribing a Russellian theory of meaning to these names do not work, I demonstrate why Ishiguro's account of Tractarian objects and names provides a better explanation of the unalterability of these objects. (shrink)

The article will expose the problem of the nature of reality stablished in the first sections of Wittgenstein"s “Tractatus Logico-Philosophicus”, especially the aphorisms 1 to 2.063 seeking to show points of contact between the Aristotelian-Thomistic and Suarezian thought. Initially, (I) a distinction is made between metaphysics and ontology in order to understand why Wittgenstein, notorious for his anti-metaphysical thought, actually ends up producing a theory of reality. Subsequently, (II) the relationship between reality and language will be drawn from the (...) characteristic isomorphism of the Tractatus in which a structural similarity will appear with the Aristotelian-Thomistic thought. This relationship will be the basis for (III) the construction of an ontological image of reality as the condition of possibility for a meaningful language. With this outlook, the (IV) hypothesis of the influence of Francisco Suárez"s thought as the content behind this Wittgensteinian description of reality will be advanced. (shrink)

A collection of discussions of possible influences on Wittgenstein when he was writing the Tractatus, includes treatments of Reinach and Meinong.

When Wittgenstein started writing the Tractatus in June 1915, he was convinced that he was producing a theory. Accordingly, he chose a theoretical style of expressing his thought. Wittgenstein abandoned this stance only at the end of his work of composing the book. He realized that what he is producing in not a theory but a manual for improving our language and thinking. Unfortunately, it was too late to change the architecture and the style of the book: Wittgenstein simply (...) had no time to do that. This drawback makes the Tractatus notoriously difficult to understand and is apparently the major factor that caused the so called “Tractarian Wars”. (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)

This paper introduces a novel interpretation of Wittgenstein’s Tractatus, a work widely held to be one of the most intricate in the philosophical canon. We understand the Tractatus not as the development of a theory but as the advancement of a new logical symbolism (a new instrument) that enables one to “recognize the formal properties [the logic] of propositions by mere inspection of propositions themselves” (6.122). Moreover, the Tractarian conceptual notation stands to instruct us in a better way (...) to follow the logic of language, and by that token, enhances our ability to think. Upon acquiring the thinking skills that one can develop by working with this symbolism, one can “throw away [this] ladder” (6.54), as it were, and move on. (shrink)

A draft White Paper associated with Fulbright Specialist Program lectures at the University of Ljubljana, Ljubljana, Slovenia, in March-April 2015, concerning neo-liberal capitalist exploitation of academic research and publications.

The paper deals with the controversial issue of realism in Wittgenstein’s Tractatus. Most of the problems are grounded in the logical-linguistic foundation of important ontological notions given within the text (such as object, state of affairs, fact, etc.). This has led some scholars to think that there is no conception of the world in the Tractatus that is independent of language and that in his work Wittgenstein is simply engaged in a logical investigation of what it is essential (...) for any language to represent reality. Therefore, no conclusions about a transcendent world can be drawn from it. Here we argue that it is true that the author of the Tractatus is engaged in a logical investigation, conducted a priori and internal to language, on the conditions that are (or have to be) satisfied by any significant language. However, what such an investigation reveals, given one of these languages, is the necessity to presuppose a world made in a certain way and transcendent to the language that pretends to describe it. Two issues are considered to clarify the sense of the realism of the Tractatus — that of the existence of simple objects, and that of the truth of propositions — and a new interpretative schema for the text is advanced. (shrink)

In this paper I will compare Hertz and Wittgenstein in order to bring forth a new interpretation of the Tractatus. I shall look at Wittgenstein’s ideas about simple objects and compare them with Hertz’s material particles. I shall then claim that if one understands Hertz’s material particles as logical entities that are more co-ordinate like than physical, one can reach an interpretation of the Tractatus that is deliberately silent about the nature of reality, therefore escaping both objectivist and (...) subjectivist interpretations of the book. This, I think, is just one of the great results of re-thinking Wittgenstein’s ideas through Hertz’s. (shrink)

For me, Spinoza deserves our respect, not for the fact that he fought against religious suppression and for democracy and peace (which are noble deeds, indeed), but for the fact that he sees rationalism as the solution to human strife. We should use our intellect to try to come closer to the truth, to guide our actions and to consider the best option for all parties involved. This idea-using reason to increase humanity, dignity and peace-is enough to make Spinoza one (...) of the most enlightened thinkers, ever. Spinoza is a staunch defender of democracy, albeit not in an Ancient Greece-like form, but in a representative form. One of his strongest arguments in favor of democracy is that the people and the government are near-identical. This leads to broad support for the state's power and therefore to peace. (shrink)

TLP is a remarkable document which continues to seduce some the best minds in philosophy, with new books and articles dealing partly or entirely with it appearing frequently over a century after it was first conceived. The first thing to note is that W later rejected it entirely for reasons he spent the rest of his life explaining. He was doing philosophy (descriptive psychology) as though the mind was a logical mathematical machine that processed facts, and behavior was the result. (...) Thus, long before computers W gave the ultimate statement of what was half a century later to become known as strong AI, CTM (Computational Theory of Mind) and most recently DSM (Dynamic Systems Theory). Eventually, W realized that perception and memory were the raw material acted upon by our innate psychology (EP) and logic and math were some of the results. Being able to say or understand anything presupposed EP and trying to make logic primary leads to incoherence, as is evident throughout TLP (and the explanation for its many bizarre statements-see e.g. Hutto). Even so, one can “understand” TLP in the sense that one can state the confusions he labored under and which most of the world still does. I briefly review Wittgenstein’s work in modern context. -/- Those wishing a comprehensive up to date framework for human behavior from the modern two systems view may consult my book ‘The Logical Structure of Philosophy, Psychology, Mind and Language in Ludwig Wittgenstein and John Searle’ 2nd ed (2019). Those interested in more of my writings may see ‘Talking Monkeys--Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet--Articles and Reviews 2006-2019 3rd ed (2019), The Logical Structure of Human Behavior (2019), and Suicidal Utopian Delusions in the 21st Century 4th ed (2019). (shrink)

TLP is a remarkable document which continues to seduce some the best minds in philosophy, with new books and articles dealing partly or entirely with it appearing frequently over a century after it was first conceived. The first thing to note is that W later rejected it entirely for reasons he spent the rest of his life explaining. He was doing philosophy (descriptive psychology) as though the mind was a logical mathematical machine that processed facts, and behavior was the result. (...) Thus, long before computers W gave the ultimate statement of what was half a century later to become known as strong AI, CTM (Computational Theory of Mind) and most recently DSM (Dynamic Systems Theory). Eventually, W realized that perception and memory were the raw material acted upon by our innate psychology (EP) and logic and math were some of the results. Being able to say or understand anything presupposed EP and trying to make logic primary leads to incoherence, as is evident throughout TLP (and the explanation for its many bizarre statements-see e.g. Hutto). Even so, one can “understand” TLP in the sense that one can state the confusions he labored under and which most of the world still does. I briefly review Wittgenstein’s work in modern context. Those wishing a comprehensive up to date framework for human behavior from the modern two systems view may consult my book ‘The Logical Structure of Philosophy, Psychology, Mind and Language in Ludwig Wittgenstein and John Searle’ 2nd ed (2019). Those interested in more of my writings may see ‘Talking Monkeys--Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet--Articles and Reviews 2006-2019 3rd ed (2019) and Suicidal Utopian Delusions in the 21st Century 4th ed (2019). (shrink)

This paper investigates Wittgenstein’s account of the relation between elementary and molecular propositions (and thus, also, the propositions of logic) in the Tractatus Logico-Philosophicus. I start by sketching a natural reading of that relation – which I call the “bipartite reading” – holding that the Tractatus gives an account of elementary propositions, based on the so-called picture theory, and a different account of molecular ones, based on the principle of truth- functionality. I then show that such a reading (...) cannot be attributed to Wittgenstein, because he holds the view that an explanation of logical complexity is already given by a correct account of the (pictorial) nature of elementary propositions; this is implied in his claim that “an elementary proposition contains all logical constants/operations in itself”. After clarifying Wittgenstein’s notion of an operation from the Notes on Logic to the Tractatus, I finally explain why Wittgenstein claims that an elementary proposition contains all logical operations in itself, and hence why he can be said to provide a unified (and thus not bipartite) account of language and logic. (shrink)

This essay presents a heterodox reading of the issue of solipsism in Wittgenstein’s Tractatus Logico-Philosophicus, out of which the whole of the TLP can be re-read. Inspired by, though not dependent on, the themes of virtuality and singularity found in Deleuze’s ‘transcendental empiricism’, Wittgenstein’s concept of ‘logical space’ is here complexly related to the paradoxes of the ‘metaphysical subject’ and ‘solipsism,’ within which the strictures of sense are defined, and through which the logico-pictorial scaffolding of the TLP precipitates its (...) own systematic dissolution. It shows how nonsense envelopes not only not idle chatter, and metaphysical confusion, but sense itself. (shrink)

Although the terms ‘poles’, ‘bipolar’, and ‘bipolarity’ do not appear in the Tractatus, it is widely held that Wittgenstein maintained his commitment to bipolarity in the Tractatus. As it is usually understood, the principle of bipolarity is that every proposition must be capable of being true and capable of being false, which rules out propositions that are necessarily true or necessarily false. Here I argue that Wittgenstein was committed to bipolarity in the Tractatus, but getting a clear (...) view of this commitment requires a different understanding of bipolarity. Properly understood, bipolarity is the view that every proposition represents two possible states of affairs, one positive and the other negative. Of course, in the case of elementary propositions, the sense of a proposition is only the positive state of affairs. There is thus an asymmetry between what a proposition represents, its true-false poles, and what it says, its sense. In this paper I show how Wittgenstein accounted for this asymmetry in Notes on Logic and I consider two ways he might have accounted for it in the Tractatus. (shrink)

This paper critically discusses Hacker’s reading of nonsense in Wittgenstein’s Tractatus in terms of his notion of misuse, which is taken to consist in the violation of rules of logical syntax. I argue that Hacker’s reading relies on an equivocation between sign and symbol: what is ‘misused’ is a mere sign, but the verdict of nonsensicality relies on seeing it as a symbol. Although Hacker seeks to distance himself from resolute readings – according to which nonsense always consists in (...) nothing but a failure to assign meaning to one’s sentences – I argue that his own verdicts of nonsensicality have their ultimate grounds in exactly the same sort of assessment, i.e. whether meaning has been assigned to a sentence. The rules of logical syntax, contrary to his own intentions, do no real work in determining whether a sentence is nonsensical or not. (shrink)

I argue, through appeal to the distinction between analysis and decomposition described by Dummett, that Wittgenstein employs both of those notions in the Tractatus. I then bring this interpretation to bear upon the issue of propositional unity, where I formulate an objection to the views of both Leonard Linksy and José Zalabardo. I show that both Linsky and Zalabardo fail to acknowledge the distinction between analysis and decomposition present in the Tractatus, and that they consequently mischaracterise Wittgenstein’s position (...) with respect to propositional unity. (shrink)

Wittgenstein’s experiments on rhythm (1912-13) were based on Charles Myers’s 1911 written protocols for laboratory exercises. The experiments provided an early onset for Wittgenstein’s career-long exploration of the philosophically pervasive implications of aspects. Years before the Tractatus, Wittgenstein already got a glimpse of a philosophical angle, which was bound to become very important to him not only in aesthetics, but also for his overarching philosophical development. He became interested in the possibilities of aesthetic conversation, in what we actually do (...) when we re-phrase, compare, come up with good similes in order to illuminate something definite within the space of possibility. These initial insights were bound to recede into the background for a while by the mounting demands of the Tractatus framework, only to fully bloom in Wittgenstein’s later work. (shrink)

Ludwig Wittgenstein’s Tractatus logico-philosophicus and Edmund Husserl’s Experience and Judgement (Erfahrung und Urteil) are based on remarkably different conceptual frameworks and methodologies. After analyzing their respective accounts on the foundations of (formal) logic, I map out their common aims and different conclusions. I hold that Husserl and Wittgenstein both use the epistemic necessity of the existence of logical relations among things as an argument against philosophical scepticism, but their different epistemological convictions lead them to decisively diverging accounts of the (...) nature of those relations. Wittgenstein assumes a syntactic correspondence theory of truth, which identifies general logical form as a necessary condition for accurate representation, apparent in the existence of local truth-functions between propositions. As logical form is the (transcendental) necessary condition of every meaningful proposition, he infers that it is itself not representable and without ontological status. Husserl, by contrast, does not draw from a correspondence theory, but from a processual theory of certainty and truth, which offers genetic instead of categorical distinctions between perception and the logical relations apparent in conceptual knowledge. His theory of formal logic ultimately offers a coherent ontology for logical objects, which avoids logical mysticism. (shrink)

In his Tractatus and Notebooks 1914-1916, Wittgenstein develops some themes concerning the nature of the subject, transcendentalism, solipsism and mysticism. Though Wittgenstein rejects a naive, psychological understanding of the subject, he preserves the idea of the metaphysical subject, so-called “philosophical I”. The present investigations exhibit two ways of grasping the subject: (1) subject as a boundary (of the world); (2) subject (I) as the world. The author of the paper aims to analyze different methods of conceiving the subject, both (...) logical and transcendental. Then he discusses the naturalistic or reductionist consequences of solipsism which were derived by Wittgenstein. Moreover, he refers to the concept of ‘subject of will’ introduced in the Tractatus. Finally, the author puts a question whether the metaphysical subject is a boundary of the world identified with the subject of will. While trying to answer this question one can point to the essential difficulties of Wittgenstein’s standpoint. These difficulties become especially evident if we examine Wittgenstein’s statements concerning mysticism. The category of subject seems to gain a new dimension when reconsidered in this context. In the conclusion, the author offers an interpretation inspired by Schopenhauer’s conception of the double aspect of the subject that is to overstep these difficulties. (shrink)

Wittgenstein responds in his Notes on Logic to a discussion of Russell's Principles of Mathematics concerning assertion. Russell writes: "It is plain that, if I may be allowed to use the word assertion in a non-psychological sense, the proposition "p implies q" asserts an implication, though it does not assert p or q. The p and the q which enter into this proposition are not strictly the same as the p or the q which are separate propositions." (PoM p35) Wittgenstein (...) replies: "Assertion is merely psychological. In not-p, p is exactly the same as if it stands alone; this point is absolutely fundamental." (NB p95) Wittgenstein's response is intriguing, not least because of the centrality to his Tractatus of the idea that a proposition says something. This paper will examine that idea, distinguishing it from 'merely psychological' assertion, and explore in this context how we should understand the occurrence of a Tractarian proposition within another. (shrink)

In Morris I presented in outline a new interpretation of the famous ‘substance argument’ in Wittgenstein’s Tractatus. The account I presented there gave a distinctive view of Wittgenstein’s main concerns in the argument, but did not explain in detail how the argument works: how its steps are to be found in the text, and how it concludes. I remain convinced that the interpretation I proposed correctly identifies the main concerns which lie behind the argument. I return to the argument (...) here in order to elaborate in fuller detail the relation between those concerns and the actual course of the text. (shrink)

Departing from and closing with reflections on issues regarding teaching practices of philosophy of mathematics, I propose a comparison between the main features of the Leibnizian notion of symbolic knowledge and some passages from the Tractatus on arithmetic. I argue that this reading allows (i) to shed a new light on the specificities of the Tractarian definition of number, compared to those of Frege and Russell; (ii) to highlight the understanding of the nature of mathematical knowledge as symbolic or (...) formal knowledge that Wittgenstein mobilizes in his book; (iii) to offer reasons for the claim that Wittgenstein can be considered the philosopher of mathematical practice avant la lettre. The paper ends with an overview, a return to the initial reflection on the connections between research and teaching, and a defense of the reading key used here in terms of its potential for the research in philosophy of mathematics. (shrink)

This article is a commentary of the section 5.552 of the Tractatus, about the “experience” that is necessary to understand logic, from the point of view of the so called continental philosophy. In this commentary are tackled some questions: what is exactly this “experience”?; what does mean that logic is a speculative image of the world?; how are the relations between logic and metaphysics (the two components of philosophy, according to Wittgenstein)? All these questions lead us to the conception (...) of philosophy present in the Tractatus and to the role, so important, the two following problems play in this book: the reflection on the philosophical method and the transcendental character of being. Just for this it is necessary to take it seriously the opposition between speaking of something and speaking about something, employed in the final section and so clear in German as habitually mistranslated. (shrink)

In his highly perceptive, if underappreciated introduction to Wittgenstein’s Tractatus, Russell identifies a “lacuna” within Wittgenstein’s theory of number, relating specifically to the topic of transfinite number. The goal of this paper is two-fold. The first is to show that Russell’s concerns cannot be dismissed on the grounds that they are external to the Tractarian project, deriving, perhaps, from logicist ambitions harbored by Russell but not shared by Wittgenstein. The extensibility of Wittgenstein’s theory of number to the case of (...) transfinite cardinalities is, I shall argue, a desideratum generated by concerns intrinsic, and internal to Wittgenstein’s logical and semantic framework. Second, I aim to show that Wittgenstein’s theory of number as espoused in the Tractatus is consistent with Russell’s assessment, in that Wittgenstein meant to leave open the possibility that transfinite numbers could be generated within his system, but did not show explicitly how to construct them. To that end, I show how one could construct a transfinite number line using ingredients inherent in Wittgenstein’s system, and in accordance with his more general theories of number and of operations. (shrink)