Numbers. Natural numbers -- Integers -- Real numbers -- Irrational and transcendental numbers -- Funny numbers. Zero -- e : the unnatural natural number -- [Phi] : the golden ratio -- i : the imaginary number -- Writing numbers. Roman numerals -- Egyptian fractions -- Continued fractions -- Logic. Mr. Spock is not logical -- Proofs, truth, and trees : oh my! -- Programming with logic -- Temporal reasoning -- Sets. Cantor's diagonalization : infinity isn't just infinity -- Axiomatic set (...) theory : keep the good, dump the bad -- Models : using sets as the LEGOs of the math world -- Transfinite numbers : counting and ordering infinite sets -- Group theory : finding symmetries with sets -- Mechanical math. Finite state machines : simplicity goes far -- The turing machine -- Pathology and the heart of computing -- Calculus : no, not that calculus- [lambda] calculus -- Numbers, booleans, and recursion -- Types, types, types : modeling [lambda] calculus -- The halting problem. (shrink)

This work contains a full, critical translation of Huai Nan Tzu, Book 9, Chu-shu, which is part of "an important compendium of knowledge and philosophical speculation... presented to the Chinese court of Wu Ti during the first century of the Former Han ". Preceding the translation is a dense philosophical analysis of the treatise, and of its place in a painstakingly reconstructed history of ideas, particular to the development of China up to that date. China had already gone through nearly (...) two millennia of history. (shrink)

Mark Jago presents an original philosophical account of meaningful thought: in particular, how it is meaningful to think about things that are impossible. We think about impossible things all the time. We can think about alchemists trying to turn base metal to gold, and about unfortunate mathematicians trying to square the circle. We may ponder whether God exists; and philosophers frequently debate whether properties, numbers, sets, moral and aesthetic qualities, and qualia exist. In many philosophical or mathematical debates, when (...) one side of the argument gets things wrong, it necessarily gets them wrong. As we consider both sides of one of these philosophical arguments, we will at some point think about something that’s impossible. Yet most philosophical accounts of meaning and content hold that we can’t meaningfully think or reason about the impossible. -/- In The Impossible, Jago argues that we often gain new information, new beliefs, and, sometimes, fresh knowledge through logic, mathematics, and philosophy. That is why logic, mathematics, and philosophy are useful. We therefore require accounts of knowledge and belief, of information and content, and of meaning which allow space for the impossible. Jago’s aim in this book is to provide such accounts. He gives a detailed analysis of the concept of hyperintensionality, whereby logically equivalent contents may be distinct, and develops a theory in terms of possible and impossible worlds. Along the way, he provides a theory of what those worlds are and how they feature in our analysis of normative epistemic concepts: knowledge, belief, information, and content. (shrink)

It is time to bring the rich resources of these traditions into the contemporary debate about the nature of self. This volume is the first of its kind.

Nondescriptivist views in many areas of philosophy have long been associated with the commitment that in contrast to other domains of discourse, there are no propositions in their particular domain. For example, the ‘no truth conditions’ theory of conditionals1 is understood as the view that conditionals don’t express propositions, noncognitivist expressivism in metaethics is understood as advocating the view that there are not really moral propositions,2 and expressivism about epistemic modals is thought of as the view that there is no (...) such thing as the proposition that Jack might be at home, over and above the proposition that Jack is at home.3 Of course, it is nearly always acknowledged that advocates of a nondescriptivist theory need not deny that there are conditional, moral, or modal propositions ‘at the end of the day’ – for if they also endorse a deflationary reading of talk about propositions, as famously advocated by Simon Blackburn, then they can employ such deflationary talk just as much as the rest of us. They just don’t appeal to propositions to do any of the work in their theories. Rather, they ‘earn the right’ to talk about propositions.4 It is the aim of this paper to upset this way of thinking about the proper attitude of nondescriptivists toward propositions, and to advocate a more constructive and in some ways more radical alternative on behalf of the nondescriptivist. I will begin by introducing and developing a set of problems that are faced by any nondescriptivist theory which tries to do without propositions. All of these problems are easily solved by any view which postulates propositions across the board, but none of them are solved by merely deflationary talk about propositions – their most promising solutions require propositions to do real theoretical work, and therefore the problems themselves remind us of and illustrate some of the important reasons why it is worth positing propositions in the first place.. (shrink)

Gaining information can be modelled as a narrowing of epistemic space . Intuitively, becoming informed that such-and-such is the case rules out certain scenarios or would-be possibilities. Chalmers’s account of epistemic space treats it as a space of a priori possibility and so has trouble in dealing with the information which we intuitively feel can be gained from logical inference. I propose a more inclusive notion of epistemic space, based on Priest’s notion of open worlds yet which contains only those (...) epistemic scenarios which are not obviously impossible. Whether something is obvious is not always a determinate matter and so the resulting picture is of an epistemic space with fuzzy boundaries. (shrink)

I discuss three ways of responding to the logical omniscience problems faced by traditional ‘possible worlds’ epistemic logics. Two of these responses were put forward by Hintikka and the third by Cresswell; all three have been influential in the literature on epistemic logic. I show that both of Hintikka's responses fail and present some problems for Cresswell’s. Although Cresswell's approach can be amended to avoid certain unpalatable consequences, the resulting formal framework collapses to a sentential model of knowledge, which defenders (...) of the ‘possible worlds’ approach are frequently critical of. (shrink)

This book offers a systematic framework for thinking about the relationship between language and technology and an argument for interweaving thinking about technology with thinking about language. The main claim of philosophy of technology—that technologies are not mere tools and artefacts not mere things, but crucially and significantly shape what we perceive, do, and are—is re-thought in a way that accounts for the role of language in human technological experiences and practices. Engaging with work by Wittgenstein, Heidegger, McLuhan, Searle, Ihde, (...) Latour, Ricoeur, and many others, the author critically responds to, and constructs a synthesis of, three "extreme", idealtype, untenable positions: only humans speak and neither language nor technologies speak, only language speaks and neither humans nor technologies speak, and only technology speaks and neither humans nor language speak. The construction of this synthesis goes hand in hand with a narrative about subjects and objects that become entangled and constitute one another. Using Words and Things thus draws in central discussions from other subdisciplines in philosophy, such as philosophy of language, epistemology, and metaphysics, to offer an original theory of the relationship between language and technology centered on use, performance, and narrative, and taking a transcendental turn. (shrink)

During multiple testing, researchers often adjust their alpha level to control the familywise error rate for a statistical inference about a joint union alternative hypothesis (e.g., “H1,1 or H1,2”). However, in some cases, they do not make this inference. Instead, they make separate inferences about each of the individual hypotheses that comprise the joint hypothesis (e.g., H1,1 and H1,2). For example, a researcher might use a Bonferroni correction to adjust their alpha level from the conventional level of 0.050 to 0.025 (...) when testing H1,1 and H1,2, find a significant result for H1,1 (p < 0.025) and not for H1,2 (p > .0.025), and so claim support for H1,1 and not for H1,2. However, these separate individual inferences do not require an alpha adjustment. Only a statistical inference about the union alternative hypothesis “H1,1 or H1,2” requires an alpha adjustment because it is based on “at least one” significant result among the two tests, and so it refers to the familywise error rate. Hence, an inconsistent correction occurs when a researcher corrects their alpha level during multiple testing but does not make an inference about a union alternative hypothesis. In the present article, I discuss this inconsistent correction problem, including its reduction in statistical power for tests of individual hypotheses and its potential causes vis-à-vis error rate confusions and the alpha adjustment ritual. I also provide three illustrations of inconsistent corrections from recent psychology studies. I conclude that inconsistent corrections represent a symptom of statisticism, and I call for a more nuanced inference-based approach to multiple testing corrections. (shrink)

Animal rights and moral theories -- Arguing for one's species -- Utilitarianism and animals : Peter Singer's case for animal liberation -- Tom Regan : animal rights as natural rights -- Virtue ethics and animals -- Contractarianism and animal rights -- Animal minds.

Bringing together the latest scientific advances and some of the most enduring subtle philosophical puzzles and problems, this book collects original historical and contemporary sources to explore the wide range of issues surrounding the nature of life. Selections ranging from Aristotle and Descartes to Sagan and Dawkins are organised around four broad themes covering classical discussions of life, the origins and extent of natural life, contemporary artificial life creations and the definition and meaning of 'life' in its most general form. (...) Each section is preceded by an extensive introduction connecting the various ideas discussed in individual chapters and providing helpful background material for understanding them. With its interdisciplinary perspective, this fascinating collection is essential reading for scientists and philosophers interested in astrobiology, synthetic biology and the philosophy of life. (shrink)

Epistemology -- Power I -- Power II -- Subjectivity -- Resistance -- Critique -- Ethics.

Corporations have increasingly turned to voluntary, multi-stakeholder governance programs to monitor workers’ rights and standards in global supply chains. This article argues that the emphasis of these programs varies significantly depending on stakeholder involvement and issue areas under examination. Corporate-influenced programs are more likely to emphasize detection of violations of minimal standards in the areas of wages, hours, and occupational safety and health because focusing on these issues provides corporations with legitimacy and reduces the risks of uncertainty created by activist (...) campaigns. In contrast, these programs are less likely to emphasize workers’ rights to form democratic and independent unions, bargain, and strike because these rights are perceived as lessening managerial control without providing firms with significant reputational value. This argument is explored by coding 805 factory audits of the Fair Labor Association between 2002 and 2010, followed by case studies of Russell Athletic in Honduras, Apple in China, and worker rights monitoring in Vietnam. (shrink)

自己思考過後找到的答案，往往跟自己有關。 這個屬於自己的答案，當然比別人給的更特別，更好。__褚士瑩 褚士瑩師事法國哲學老師奧斯卡‧柏尼菲，從這一位「非典型」老師身上經歷了前所未有的思考練習與震撼教育。 世界上這麼多東西可以學，為什麼一定要學哲學？而且值得學的老師那麼多，為什麼偏偏是奧斯卡？ 褚士瑩形容奧斯卡是「搶走禮物的聖誕老人」，甚至因為幫忙安排諮商行程，竟然收到律師函，成為被告上法庭…… 但是褚士瑩卻在學習哲學思考的過程中，變成一個被「挑戰」問題時超開心，被「質疑」問題時興奮無比的人。 問，為什麼人生不能想做什麼就做什麼？ 問，為什麼學思考，就等於學做人？ 問，為什麼被挑戰、被質疑，反而會高興？ 問，為什麼謹慎小心不好？ 問，為什麼有錢人不會成為物質的奴隸？ 問，為什麼我不能幫爸媽安排他們的人生？ 問，為什麼要學習「享受」問題，而不是「解決」問題？ 人生階段百百問，但是如果我們開始動腦思考，其實就已經踏入改變自己的第一步。 《我為什麼去法國上哲學課？》實踐篇最大的特點在於，本書將強調如何使用思考的技巧，幫助我們每一天的生活。而最好的方法就是從觀察開始，任何生活裡的小事，都可以去問「為什麼會這樣？」「為什麼會有這個現象？」 不論是跟人一句短短的對話，還是我們聽到的一句話，都可以觀察自己的反應與情緒。 如此一來「每一件事情都可以想，世界上沒有任何一件不可以想的事情，從此以後我沒有任何一個時刻是無聊的，因為就算聽到很無聊的話，也可以觀察這個人為什麼會說這麼無聊的話？他真的相信說的這些話嗎？如果他不相信 ，為什麼他覺得他要說呢？」 本書也等於透過實例舉證，讓讀者像是親臨「哲學諮商」的實境，在每一個生活上會產生的問題，如人與人之間的溝通、對未來的徬徨與抉擇、金錢的價值觀，最重要的是釐清複雜的人際關係，學習相處與成長。當我們將問題透 過「哲學思考」來一層一層推理，最終我們都回到最原始的關鍵上，那就是：「我是一個 什麼樣的人？」「我認識我自己嗎？」「我了解自己嗎？」「我愛自己嗎？」 本書特色 工作無法趁心如意，對未來茫然不知方向，到底該轉職？還是繼續忍耐熬？ 你其實想大吼：人生難道不能想做什麼就做什麼嗎？ 越想完美經營人脈，越抓不到重點，你有沒有想過自己對「人際關係」很貪心？ 好了，現在下決心脫離舒適圈，好像自由高飛了， 但你也許在「更保守的國外」原地踏步繞圈圈…… 以上問號絕對不是「跟著感覺走」就能夠得到答案，也不是別人的答案，可以先偷來用。 你如何找到屬於自己的路？ 哲學思考實踐→尋找適合自己的思考方法 ★用第三者的角度來看自己。 ★學習享受問題，而不是解決問題。 ★善用「刪去法」知道自己不要什麼。 ★「跟著感覺走」不是真思考。 ★人生充滿未知，請不要過度準備。 ★把每一個意外，都當成一個禮物。 ★不斷練習，養成有紀律的思考習慣。.

Debates over health care have focused for so long on economics that the proper goals for medicine seem to be taken for granted; yet problems in health care stem as much from a lack of agreement about the goals and priorities of medicine as from the way systems function. This book asks basic questions about the purposes and ends of medicine and shows that the answers have practical implications for future health care delivery, medical research, and the education of medical (...) students. The Hastings Center coordinated teams of physicians, nurses, public health experts, philosophers, theologians, politicians, health care administrators, social workers, and lawyers in fourteen countries to explore these issues. In this volume, they articulate four basic goals of medicine — prevention of disease, relief of suffering, care of the ill, and avoidance of premature death — and examine them in light of the cultural, political, and economic pressures under which medicine functions. In reporting these findings, the contributors touch on a wide range of diverse issues such as genetic technology, Chinese medicine, care of the elderly, and prevention and public health. The Goals of Medicine clearly demonstrates the importance of clarifying the purposes of medicine before attempting to change the economic and organizational systems. It warns that without such examination, any reform efforts may be fruitless. (shrink)

From his earliest work on personal identity to his last on the value of truthfulness, the ideas and arguments of Bernard Williams - in the metaphysics of personhood, in the history of philosophy, but especially in ethics and moral psychology - have proved sometimes controversial, often influential, and always worth studying. This book provides a comprehensive account of Williams's many significant contributions to contemporary philosophy. Topics include personal identity, various critiques of moral theory, practical reasoning and moral motivation, truth and (...) objectivity, and the relevance of ancient Greece to modern life. It not only positions Williams among these important philosophical topics, but also with regard to the views of other philosophers, including prominent forerunners such as Hume and Nietzsche and contemporary thinkers such as, Nagel, McDowell, MacIntyre and Taylor. The fragmentary nature of Williams's work is addressed and recurring themes and connections within his work are brought to light. (shrink)

This article is a précis of Mark C. Murphy’s _Divine Holiness and Divine Action_ (Oxford University Press, 2021), which offers an account of God’s holiness and of the difference this view of God’s holiness should make to our understanding of divine action.

Particularists in ethics emphasize that the normative is holistic, and invite us to infer with them that it therefore defies generalization. This has been supposed to present an obstacle to traditional moral theorizing, to have striking implications for moral epistemology and moral deliberation, and to rule out reductive theories of the normative, making it a bold and important thesis across the areas of normative theory, moral epistemology, moral psychology, and normative metaphysics. Though particularists emphasize the importance of the holism of (...) the normative, however, it is not something that they have been able to explain. In this paper I’ll show how to use a small number of simple and, I’ll argue, independently compelling assumptions in order to both predict and explain the holistic features of the normative with respect to the non-normative. The basic idea of the paper is simple. It is that normative claims are holistic because they are general, rather than because they defy generalization. (shrink)

The sense of smell occupies a peculiar intermediate position within Aristotle's theory of sense perception: odours, like colours and sounds, are perceived at a distance through an external medium of air or water; yet in their nature they are intimately related to flavours, the proper objects of taste, which for Aristotle is a form of touch. In this paper, I examine Aristotle's claims about odour and smell, especially in De Anima II.9 and De Sensu 5, to see what light they (...) shed on his theory of sense perception more generally. In the first half, I argue that neither of the two most influential recent ways of understanding Aristotle's theory of perception can adequately account for what he says about the sense of smell. In the second half, I offer my own positive account, considering and resolving various puzzles raised by Aristotle's claims about the nature of odour and its relation to flavour. Finally, I conclude that Aristotle's discussions of odour and smell suggest a plausible and interesting way of understanding the relationship, on his view, between ordinary, material changes in the sense organs and the activation of the capacity to perceive, considered merely as such. (shrink)

In this paper, I argue that there is a picture of how law works that most legal theorists are implicitly committed to and take to be common ground. This Standard Picture (SP, for short) is generally unacknowledged and unargued for. SP leads to a characteristic set of concerns and problems and yields a distinctive way of thinking about how law is supposed to operate. I suggest that the issue of whether SP is correct is a fundamental one for the philosophy (...) of law, more basic, for example, than the issue that divides legal positivists and anti-positivists, at least as the latter issue is ordinarily understood. The goals of the paper are fourfold: 1) to identify and articulate in some detail the Standard Picture; 2) to show that SP is widely held and has important consequences for other debates in the philosophy of law; 3) to show that SP leads to a serious theoretical problem; 4) to sketch an alternative picture that promises to avoid this problem. I emphasize the modesty of these goals in one respect. I make no claim to refute SP or to fully develop and defend an alternative picture. (shrink)

本书是作者的一部遗作。书中对中国国学大师王国维1898-1911年间11种哲学译稿进行了详尽周密考订和主板,可谓王国维研究的可喜成果。作者同时利用加“按”的形式,在许多细微的对比与议论中贯注了自己的审 美意识与世界观,也具有学术价值.

本书主要研究的是心理现象的形式、范围、本质、特征、心身关系、心理内容及其根源等,并对常识心理解释模式和心理学进行哲学反思。.

The Clarke/Rowe version of the Cosmological Argument is sound only if the Principle of Sufficient Reason is true, but many philosophers, including Rowe, think that there is not adequate evidence for the principle of sufficient reason. I argue that there may be indirect evidence for PSR on the grounds that if we do not accept it, we lose our best justification for an important principle of metaethics, namely, the Principle of Universalizability. To show this, I argue that all the other (...) justifications of the Principle of Universalizability on offer, including Richard Hare's, are inadequate. (shrink)

Quietist Moral Realists accept that there are moral facts and properties, while aiming to avoid many of the explanatory burdens thought to fall on traditional moral realists. This chapter examines the forms that Quietist Moral Realism has taken and the challenges it has faced, in order to better assess its prospects. The best hope, this chapter argues, lies in a pragmatist approach that distinguishes the different functions of diverse areas of discourse. This paves the way for a form of Quietism (...) that does not simply remain quiet about the explanatory demands of metaethics, but rather is able to diagnose where they go wrong. By combining a neopragmatic analysis of the discourse with an easy approach to ontology, , we can develop a form of Quietist Moral Realism that is far stronger than critics of quietism have appreciated. (shrink)

The need for ethical naturalism -- Moral problem-solving as an empirical inquiry -- Where are our values bred? : sources of moral norms -- Intuitive processes of moral cognition -- Moral deliberation as cognition, imagination, and feeling -- The nature of "reasonable" moral deliberation -- There is no moral faculty -- Moral fundamentalism is immoral -- The making of a moral self.