Does it follow from Wittgenstein's views about indeterminism that irregularities of nature could take place? Did he believe that chairs could simply disappear and reappear, that water could behave differently than it has, and that a man throwing a fair die might throw ones for a week? Or are these things only imaginable? Is his view simply that if we adopted an indeterministic point of view we would no longer look for causes, or would not always look for causes, because (...) we would no longer assume that there must be a cause of each event? (shrink)

If one thinks of intentions as entities of some sort, states or dispositions, for example, it should eventually strike him that there are peculiar difficulties with the idea. For example, he will have trouble counting his intentions. In a particular situation, we ask someone, ‘What are you going to do about that? And this?’ And his answer might be, ‘My intention is to pay that, and, as for this, my intention is to ignore it.’ But of course he may have (...) said, ‘My intention is to pay this and ignore that.’ For this reason and, as we will see, others, there is no such thing as a complete list of intentions that a person has. If someone told us, ‘I have just eight intentions at present’, we would think he was joking, even though he intends to do eight things—grade papers, meet a class at nine, and so on. And if we ask; ‘What are you going to do today?’, he may answer that he has a class at nine, office hours at two, and lunch already scheduled. But even though he has more to do today than yesterday, he would hardly tell us, ‘I am afraid I have more intentions today than I did yesterday.’. (shrink)

I criticize the ‘Humean’ view of reasons for actions, the view that the reasons for an action can be stated in terms of desires and beliefs. I point out that this view must ignore concepts which are central to our understanding of human actions, namely, intention, motivation and associated concepts such as decision. One can then see just how inadequate the Humean view is.

William Child has said that Wittgenstein is an anti-realist with respect to a person's dreams, recent thoughts that he has consciously entertained and other things. I discuss Wittgenstein's comments about these matters in order to show that they do not commit him to an anti-realist view or a realist view. He wished to discredit the idea that when a person reports his dream or his thoughts, or past intentions, the person is reading off the contents of his mind or memory. (...) Reporting what one dreamt or recently thought is not like reporting what one has just read. The language is different, and the criterion of truth is different. The anti-realist is able to explain why the reports of thoughts, for instance, are "guaranteed" to be true (PI II, 222) by stipulating that the character and existence of the past thought is constituted by an inclination to assert that one had that past thought so the assertion could not be false. This could not be Wittgenstein's view. What does "guarantee" the truth of such an assertion is the fact that the person himself is the principle authority on what he dreamt, thought, and intended, something which "stands fast" for us. I next consider Crispin Wright's account of Wittgenstein's ideas about intentions and point out that his assumption that person always makes a judgement as to whether his action conforms to his intention is clearly false. And he is wrong in attributing to Wittgenstein the idea that an intention does not have a determinate content prior to its author's judgement about whether the action conforms to the intention, an idea that is obscure. If this were accurate, it would be a mystery why we do anything, or, at least, why our actions ever conform to our intentions. (shrink)

This theory regards intentions as mental states, e.g., attitudes, which, typically, have causal power. But we do not speak of our intentions as having such powers. Instead, we speak of a person's resolve, determination, or his anxiety, eagerness, and so forth, as the ‘powers’ that move us. Of course, one desires for various reasons to carry out his various intentions but that desire is not a component of the intentions. An intention is, roughly, the course of action that one has (...) adopted, so it has no such components. There are other characteristics of intentions which the mental state idea of intentions does not share. Intentions do not have the temporal characteristics that mental states have, or share the curious context dependency that intentions have. And since, according to the theory, mental states operate causally, it would not be possible for a person to commit himself to a course of action as we ordinarily do when we make a promise or sign an agreement or contract. (shrink)

In contemporary discussions of the concept of intention, the assumption is made that an intention results from a person's decision, or resolution, or plan, or the like. And the intention persists, generally, until the appropriate action is carried out. However, intentions cannot be said to have temporal duration, or beginnings, or endings. And it is not necessary for a person who is intending to do something to have made a decision to do it, or a resolution, or anything else. It (...) may be that a person acquires an intention because of the circumstances that he finds himself in. If one sees that a tricycle is in front of his car, he will move it. No decision is necessary, obviously, because running over it would be contrary to common sense. Or one may gradually come to realise that he is obliged to do something and thereupon acquires the intention to do it. By focusing on one kind of intention, the “desire‐belief” theories have failed to realise that intentions originate in various ways, and for various reasons. (shrink)

Does it follow from Wittgenstein's views about indeterminism that irregularities of nature could take place? Did he believe that chairs could simply disappear and reappear, that water could behave differently than it has, and that a man throwing a fair die might throw ones for a week? Or are these things only imaginable? Is his view simply that if we adopted an indeterministic point of view we would no longer look for causes, or would not always look for causes, because (...) we would no longer assume that there must be a cause of each event? (shrink)

If one thinks of intentions as entities of some sort, states or dispositions, for example, it should eventually strike him that there are peculiar difficulties with the idea. For example, he will have trouble counting his intentions. In a particular situation, we ask someone, ‘What are you going to do about that? And this?’ And his answer might be, ‘My intention is to pay that, and, as for this, my intention is to ignore it.’ But of course he may have (...) said, ‘My intention is to pay this and ignore that.’ For this reason and, as we will see, others, there is no such thing as a complete list of intentions that a person has. If someone told us, ‘I have just eight intentions at present’, we would think he was joking, even though he intends to do eight things—grade papers, meet a class at nine, and so on. And if we ask; ‘What are you going to do today?’, he may answer that he has a class at nine, office hours at two, and lunch already scheduled. But even though he has more to do today than yesterday, he would hardly tell us, ‘I am afraid I have more intentions today than I did yesterday.’. (shrink)

I have argued that Wittgenstein's treatment of dreaming involves a kind of anti-realism about the past: what makes "I dreamed p " true is, roughly, that I wake with the feeling or impression of having dreamed p . Richard Scheer raises three objections. First, that the texts do not support my interpretation. Second, that the anti-realist view of dreaming does not make sense, so cannot be Wittgenstein's view. Third, that the anti-realist view leaves it a mystery why someone (...) who reports having dreamed such-and-such is inclined to report what she does. The Reply defends my reading of Wittgenstein against these objections. (shrink)

Hilbert’s program was an ambitious and wide-ranging project in the philosophy and foundations of mathematics. In order to “dispose of the foundational questions in mathematics once and for all,” Hilbert proposed a two-pronged approach in 1921: first, classical mathematics should be formalized in axiomatic systems; second, using only restricted, “finitary” means, one should give proofs of the consistency of these axiomatic systems. Although Gödel’s incompleteness theorems show that the program as originally conceived cannot be carried out, it had many partial (...) successes, and generated important advances in logical theory and metatheory, both at the time and since. The article discusses the historical background and development of Hilbert’s program, its philosophical underpinnings and consequences, and its subsequent development and influences since the 1930s. (shrink)

This study reconstructs the relationship between philosophy and politics in the way in which Heidegger's failure as a politician influenced the redevelopment of philosophy in the 1930s. The author also explains how Heidegger's failure influenced the content and direction of his later work.

Logic has pride of place in mathematics and its 20th century offshoot, computer science. Modern symbolic logic was developed, in part, as a way to provide a formal framework for mathematics: Frege, Peano, Whitehead and Russell, as well as Hilbert developed systems of logic to formalize mathematics. These systems were meant to serve either as themselves foundational, or at least as formal analogs of mathematical reasoning amenable to mathematical study, e.g., in Hilbert’s consistency program. Similar efforts continue, but have been (...) expanded by the development of sophisticated methods to study the properties of such systems using proof and model theory. In parallel with this evolution of logical formalisms as tools for articulating mathematical theories (broadly speaking), much progress has been made in the quest for a mechanization of logical inference and the investigation of its theoretical limits, culminating recently in the development of new foundational frameworks for mathematics with sophisticated computer-assisted proof systems. In addition, logical formalisms developed by logicians in mathematical and philosophical contexts have proved immensely useful in describing theories and systems of interest to computer scientists, and to some degree, vice versa. Three examples of the influence of logic in computer science are automated reasoning, computer verification, and type systems for programming languages. (shrink)

The proof theory of many-valued systems has not been investigated to an extent comparable to the work done on axiomatizatbility of many-valued logics. Proof theory requires appropriate formalisms, such as sequent calculus, natural deduction, and tableaux for classical (and intuitionistic) logic. One particular method for systematically obtaining calculi for all finite-valued logics was invented independently by several researchers, with slight variations in design and presentation. The main aim of this report is to develop the proof theory of finite-valued first order (...) logics in a general way, and to present some of the more important results in this area. In Systems covered are the resolution calculus, sequent calculus, tableaux, and natural deduction. This report is actually a template, from which all results can be specialized to particular logics. (shrink)

Methods available for the axiomatization of arbitrary finite-valued logics can be applied to obtain sound and complete intelim rules for all truth-functional connectives of classical logic including the Sheffer stroke and Peirce’s arrow. The restriction to a single conclusion in standard systems of natural deduction requires the introduction of additional rules to make the resulting systems complete; these rules are nevertheless still simple and correspond straightforwardly to the classical absurdity rule. Omitting these rules results in systems for intuitionistic versions of (...) the connectives in question. (shrink)

Studies the politics of Heidegger in terms of "thrownness" or "existential contingency". Attempts to think through Heidegger's philosophy in a manner that parallels his own dialogue with other key western thinkers.

The ancient Taoist text that forms the central part of this book was discovered by Wilhelm, who recognized it as essentially a practical guide to the integration of personality. Foreword and Appendix by Carl Jung; illustrations. Translated by Cary F. Baynes.A Helen and Kurt Wolff Book.

Textbook on Gödel’s incompleteness theorems and computability theory, based on the Open Logic Project. Covers recursive function theory, arithmetization of syntax, the first and second incompleteness theorem, models of arithmetic, second-order logic, and the lambda calculus.

"This is an excellent textbook on Neoplatonism which gives the reader a very concise and lucid overview of the basic doctrines and leading thinkers of the last great philosophy to emerge before the Christianization of the Roman Empire. I’ve no doubt that my students next semester will benefit from the analyses contained in the book. The contents of the chapters are very informative and adequately place developments in their socio-cultural context." --Michael B. Simmons, Auburn University at Montgomery.

Having visited Ireland regularly during the 1930s, Ludwig Wittgenstein resigned his Cambridge philosophy professorship in 1947 and moved there, living in a fishing village on the Atlantic coast and hotels in Dublin and the Wicklow Mountains. Although Wittgenstein spent some time out of the country, Ireland was effectively his base for three very productive years during which he worked on what would become one of his key books, the posthumously published Philosophical Investigations. Wittgenstein in Ireland represents the first sustained account (...) of Wittgenstein's time in Ireland, placing it in its historical context. Wall pays a good deal of attention to the representation of the Irish landscape in which the Austrian philosopher found himself able to work; a large part of his writings were produced in the bleak landscapes of Ireland and Norway. (shrink)

Despite their differences in origin, the three influential schools of twentieth-century continental cultural criticism--the Frankfurt School, existentialism, and poststructuralism--have long been treated as an ensemble and with critical hesitancy. Examining these schools as responses to the apparent collapse of Western civilization in the twentieth-century and as formidable intellectual challenges to the cultural legacies of the Enlightenment, this book provides a productive base for criticism and broadens our understanding of their histories and reception.

This book is the complete story of the creation of the universe, as it was understood by the ancient Egyptians. It is a collection of harmonic and radical 'Black Thoughts' and the pursuit of equality for all of this planet's inhabitants"--P. vii.

On the basis of careful textual exegesis and philosophical analysis, and contrary to the received view, Mark R. Wheeler demonstrates that Aristotle presents and systematically explicates his definition of the essence of the truth in the Metaphysics. Aristotle states the nominal definitions of the terms "truth" and "falsehood" as part of his arguments in defense of the logical axioms. These nominal definitions express conceptions of truth and falsehood his philosophical opponents would have recognized and accepted in the context of dialectical (...) argument. On the basis of these nominal definitions, Aristotle develops his definitions of the essences of truth and falsehood--his "real" definitions of truth and falsehood. Aristotle's methodical exposition of his essential definitions of truth and falsehood in the Metaphysics serves as a well-developed example of how his philosophical inquiry starts with nominal definitions and ends with real definitions. Wheeler also argues for the novel claim that Aristotle defines the most fundamental kind of truth in terms of accurate measurement. Aristotle's metrical conception of truth serves as the theoretical basis for specifying the truth conditions of various assertions, for identifying the sorts of beings implicated in these truth conditions, and for explaining the nature of approximate truth and falsehood. Far from offering us a minimal account of truth, Wheeler shows how Aristotle offers us a sophisticated and metrical theory of truth. (shrink)