There are mathematical structures with elements that cannot be distinguished by the properties they have within that structure. For instance within the field of complex numbers the two square roots of −1, i and −i, have the same algebraic properties in that field. So how do we distinguish between them? Imbedding the complex numbers in a bigger structure, the quaternions, allows us to algebraically tell them apart. But a similar problem appears for this larger structure. There seems to be always (...) a background and a context that we rely upon. Thus mathematicians naturally make use of Kantian intuition and references fixed by names and denotations. I argue that such features cannot be avoided. (shrink)

It has often been said that the Chinese script is pictorial or ideographic, and that this is one of the reasons why Chinese tend to think more analogically than logically, and why in the past the natural sciences developed to a lesser degree in China than in the West. These are strong claims. They have often been oversimplified and exaggerated, but I think there is something to be said for them. Here I will focus on the first question. I will (...) argue that Chinese characters still have semantic features that create image-like qualities in a wider sense: not mere resemblances between sign and object, but family resemblances in semantic fields. The fact that Chinese is an isolating and monosyllabic language is essential in this. (shrink)

The notion of “representation” is central to Kant’s transcendental philosophy. But naturalism and mind-body reductionism tend to reduce talk of (first-person) representation to stories of (third-person) causality and evolution. How does Kant fare in this context?

In the framework of his transcendental philosophy, Kant strictly separates morality from aesthetics. The pleasure in the good and the pleasure in the beautiful are two different kinds of pleasure (Arten des Wohlgefallens). As a consequence, a moral act as such cannot be beautiful. It is only in a second step that Kant indicates possible connections, in his comments on aesthetic ideas, symbolism, the sensus communis, and education in general. In Confucius on the other hand we do not find such (...) a radical separation between beauty and morality. Ritual is a source of both. Moral acts can be beautiful. One might wonder whether Confucius missed a point, or whether Kant overdid the separation. Or is it that their conceptions are so fundamentally different that they cannot easily be translated and identified across different philosophical traditions? (shrink)

This essay is about Wittgenstein, first about his views on ethics, second about his conception of language games. Third, it combines the two and shows how problems arise from this. Wittgenstein rejects theories of ethics and emphasises the variety of language games. Such language games are marked by what I call “inner relativity”. Wittgenstein himself was not a relativist, but it seems to me his views easily lead to what I call “outer relativism”. In matters of ethics this is particularly (...) problematic. (shrink)

This paper has two parts. In the first I give a brief historical account of the a priori and point out the central and problematic role of 'Erfahrung überhaupt' in Kant’s transcendental philosophy. In the second and main part I offer a criticism of Kripke’s arguments for the contingent a priori and I thereby question his radical separation of metaphysics and epistemology.

In the preface to On Certainty Anscombe and von Wright say that in 1949 Malcolm suggested to Wittgenstein to think again about Moore’s “Defense of Common Sense” (1925) and “Proof of an External World” (1939). Malcolm himself had written on the issue in “Defending Common Sense” (1949). In the preface to the Philosophical Investigations Wittgenstein quotes Nestroy saying that there is usually very little progress in philosophy. But I think some progress has been made from Moore and Malcolm to Wittgenstein (...) regarding skepticism. There is more awareness of practice and perspective and this opens the discussion in novel ways. But it also gives rise to new problems, in particular of morality and relativity. (shrink)

In this essay I point out parallels between Kant’s theory of aesthetics and Wittgenstein’s discussion of rule following. Although Wittgenstein did not write an aesthetics and Kant did not discuss Wittgensteinian rule-following problems, and although both Kant and Wittgenstein begin at very different starting points and use different methods, they end up dealing with similar issues, namely issues about rules, particularity, exemplarity, objectivity, practice, and as-if statements.

There has been recent dispute between Putnam and Searle over whether meanings are “in the head”. Putnam makes use of Twin-Earth thought experiments to show that our mental states alone cannot determine what we refer to (and thus “mean”) and that we rely also on external factors, which are not “in the head”. This suggests to me that we in some way mean more than we actually know. Searle on the other hand makes use of what he calls “Intentional contents”, (...) “conditions of satisfaction”, and “self-referentiality”, to show that meanings can be said to be in the head. It seems to me that an internalist account as we find it in Husserl or Searle is closer to what is going on when we mean something. (shrink)

What is the nature of thought? Is thought linguistic and some kind of silent speech? Or is it pre-linguistic and some kind of association of ideas and images in the mind? Does it happen in the brain? I will focus on the last question, but also say something about the other two. I will present a simple thought experiment to show that thought must somehow happen in the brain. But then I will soften the impression this might give by pointing (...) out what is needed to read those thoughts. Simply put, ontologically thought is in the brain, epistemologically it is not. (shrink)

According to the so-called Sapir-Whorf hypothesis, a language influences the mind of its user. This is more or less trivial, but the problems are in the details. It is difficult to make precise what those influences are, be it in general philosophical or in particular empirical-cultural terms. I will give an account of what I take to be basic aesthetic and grammatical features of the Chinese language compared with what we find in Western languages such as Latin or greek. Then (...) I will indicate what I take to be cultural differences and discuss whether these might be the result of differences in language structure. (shrink)

This essay is about the inner and the outer in Wittgenstein, in particular his notion of “meaning experience”. Wittgenstein reminds us that we should not think of the inner, psychological the way we think about the outer, physical world. Again and again he keeps returning to certain views about the soul and our mental states. I think that it is not only therapy he has in mind. I will contrast certain aesthetic and ethical aspects of his thoughts with views from (...) Kant. (shrink)

This is a transcript of a conversation between P F Strawson and Gareth Evans in 1973, filmed for The Open University. Under the title 'Truth', Strawson and Evans discuss the question as to whether the distinction between genuinely fact-stating uses of language and other uses can be grounded on a theory of truth, especially a 'thin' notion of truth in the tradition of F P Ramsey.

Tradução para o português do ensaio "Social Morality and Individual Ideal”. Publicado originalmente em Philosophy: The Journal of the Royal Institute of Philosophy, vol. XXXVI, n. 136, p. 1-17, Jan. 1961. Republicado em: STRAWSON, P. F. Freedom and Resentment and Other Essays. Londres: Methuen, 1974. [Routledge, 2008, p. 26-44]. ]. Publicado na coletânea: Ensaios sobre a filosofia de Strawson: com a tradução de Liberdade e ressentimento & Moralidade social e ideal individual. Organizadores: Jaimir Conte & Itamar Luís Gelain. Editora da (...) UFSC, 2015. ISBN: 9788532807250. (shrink)

P. F. Strawson; II*—Scruton and Wright on Anti-Realism Etc., Proceedings of the Aristotelian Society, Volume 77, Issue 1, 1 June 1977, Pages 15–22, https://doi.

Pada musim semi, entah kenapa, tidak banyak ikan. Karena tangkapannya sangat tidak stabil, Pekakak mulai berpikir. Lalu membuat beberapa rencana. Dengan otoritas komandonya, dia memanggil Bangau: – Ini adalah musim penangkapan ikan yang sangat sulit. Jika kita ingin kenyang, kita harus membuat usaha patungan. Bangau mengangguk, menambahkan: - Saya setuju; mari kita beternak ikan kakap putih dan ikan mas krusia. Jenis ini berumur panjang dan sangat produktif. Pekakak dan Bangau sepakat untuk berbagi tugas beternak, dan tidak ada diskriminasi yang diizinkan. (...) Namun imbalannya berbeda: Pekakak bertanggung jawab untuk ikan kakap putih dan, dengan demikian, dapat memiliki lebih banyak ikan kakap putih, sedangkan Bangau mendapat ikan mas krusia. Siapapun yang memelihara ikan mana yang lebih banyak akan menikmati 80% dari panen akhir ikan tersebut. Keduanya akan mengevaluasi dan membagi produk ternak pada akhir musim beternak. Ini berarti mengantongi sendiri ikan hasil usaha patungan untuk diri sendiri itu dilarang. (shrink)

Suatu pagi di musim panas, desa burung diselimuti keheningan. Semua orang sibuk mendengarkan pengembara baru. Burung pengembara ini berasal dari keluarga yang tidak jelas; bulunya berwarna-warni, gerak-geriknya lucu, dan ilmunya baru. Dia bercerita seolah-olah sedang memberi ceramah, tepat sekali, warga desa memanggilnya burung Guru – orang yang menjawab setiap pertanyaan aneh warga desa yang rajin belajar. Burung pelatuk telah belajar menangkap cacing di sore hari, sehingga mereka tidak perlu bangun pagi. Burung pipit sekarang tahu cara mencuri beras dari gudang saat (...) sawah mulai kering. Bulbul, sementara itu, telah mengambil kesempatan berkumpul untuk memamerkan kecantikan dan fashion mereka… . (shrink)

The problem considered in this chapter emerges from the tension we find when looking at the design and architecture of chatbots on the one hand and their conversational aptitude on the other. In the way that LLM chatbots are designed and built, we have good reason to suppose they don't possess second-order capacities such as intention, belief or knowledge. Yet theories of conversation make great use of second-order capacities of speakers and their audiences to explain how aspects of interaction succeed. (...) As we can all bear witness to now though, at the point of use chatbots appear capable of performing language tasks at a level close to that of humans. This creates a tension when we consider something like, for example, the classic Gricean theory of implicature. On a broad summary of this type of account, to utter p and implicate q requires the reflexive occurrence of an audience supposing a speaker believes that q, and the speaker believing that their audience can determine they believe it when they utter p. So taken at face value, if a chatbot doesn’t have the capacity for belief, then either in their role as speaker or audience, they would not seem capable of either generating or comprehending implicatures. Yet on the surface it does seem that chatbots are capable of dealing with (some) implicatures, and as such it raises questions about how we should then correlate this with what we think occurs in cases of implicature with chatbots. (shrink)

Pekakak selama ini tinggal di gua galiannya sendiri di tepi kolam, tapi sekarang dia memutuskan bahwa dia membutuhkan rumah baru. Dia melakukan tur keliling desa untuk melihat bagaimana burung-burung lain membangun rumah mereka. Dia mengunjungi Tuan Pipit, yang tinggal di pohon pinus yang bersiul. Bagian depan bangunannya tampak indah, dan lokasinya yang tinggi memberikan ventilasi yang baik. Tapi, semakin lama dia menginap, dia jadi semakin pusing. Hembusan angin apa pun yang menerpa membuat seluruh struktur bangunan bergetar seolah-olah akan hancur berantakan.

It has been over two decades since Miranda Fricker labeled epistemic injustice, in which an agent is wronged in their capacity as a knower. The philosophical literature has proliferated with variants and related concepts. By considering cases in popular music, we argue that it is worth distinguishing a parallel phenomenon of art-interpretive injustice, in which an agent is wronged in their creative capacity as a possible artist. In section 1, we consider the prosecutorial use of rap lyrics in court as (...) a central case of this injustice. In section 2, we distinguish art-interpretive injustice from other categories already discussed in recent literature. In section 3, we discuss the relationship between genre discourse and identity prejudice. The case for recognizing the category of art-interpretive injustice is that it allows one to recognize a class of harms as being importantly related in ways that one would otherwise overlook. (shrink)

In this paper, I reply to 18 of the essays on panpsychism in this issue. Along the way, I sketch out what a post-Galilean science of consciousness, one in which consciousness is taken to be a fundamental feature of reality, might look like.

There is a history of thinking that photographs provide a special kind of access to the objects depicted in them, beyond the access that would be provided by a painting or drawing. What is included in the photograph does not depend on the photographer’s beliefs about what is in front of the camera. This feature leads Kendall Walton to argue that photographs literally allow us to see the objects which appear in them. Current generative algorithms produce images in response to (...) users’ text prompts. Depending on the parameters, the output can resemble specific people or things which are named in the prompt. This resemblance does not depend on the user’s beliefs, so generated images are in this sense like photographs. Given this parallel, how should we think about AI-generated images? (shrink)

The Homeostatic Property Cluster (HPC) account of natural kinds has become popular since it was proposed by Richard Boyd in the late 1980s. Although it is often taken as a defining natural kinds as such, it is easy enough to see that something's being a natural kind is neither necessary nor sufficient for its being an HPC. This paper argues that it is better not to understand HPCs as defining what it is to be a natural kind but instead as (...) providing the ontological realization of (some) natural kinds. (shrink)

A woman and a man desire to come together stirred by the primal fire of Kama and the man deposits his egg in the womb of the woman. This egg develops into a human undergoing nine or ten months of evolution. This process is the microscopic replication of the method evolved by God to create the universe. Rigveda (10.121) mentions Hiranyagarbha, the Golden Egg as the source of the creation of the universe. It is said that God, wishing to create (...) the world, produced an egg as big as the cosmos. God meditated for a thousand years sitting inside the egg and when the egg burst, the Lord himself was born out of the egg as the Progenitor of the universe (“He made Himself by Himself.”, Taitiriya Upanishad: 2.7.1). The Rishis called the Egg Brahmanda (the Cosmic Egg), and the Progenitor Manu. Scientists have discovered that the universe has an oval shape. Like the nine months of the evolution of the human egg, the Cosmic Egg also undergoes nine stages of evolution before it gets dissolved during what we call ‘Maha Pralaya’. The Puranas mention that Brahmanda has 14 biospheres, seven nether and seven upper inhabited by different types of souls. If we count from the human world, there are ten dimensions of consciousness. Rishis called these astral biospheres Mandalas/Lokas with different wavelengths and colours. Sri Karunakara Guru referred to them as Avasthas, or spiritual stages. The Buddhists and Hindu esoteric sects such as the Theosophical Society explain these levels of the Absolute in terms of Physical plane, Astral plane, Mental plane, Buddhic plane, Atmic plane, Anupadaka plane, Adi plane and Shiv and Shakti. These Avasthas are related to the expanding consciousness reaching up to the core of the Cosmic Egg, the Paramatma. Like a spider which creates a web around it sitting in the centre, and withdraws it in the end, Paramatma creates and withdraws webbed multi-dimensional universes. Nobody can say when it started and when it will end as it is a beginningless and endless process. (shrink)

Some philosophers understand natural kinds to be the categories which are constraints on enquiry. In order to elaborate the metaphysics appropriate to such an account, I consider the complicated history of scurvy, citrus, and vitamin C. It may be tempting to understand these categories in a shallow way (as mere property clusters) or in a deep way (as fundamental properties). Neither approach is adequate, and the case instead calls for middle-range ontology: starting from categories which we identify in the world (...) and elaborating their structure, but not pretending to jump ahead to a complete story about fundamental being. (shrink)

How should we respond to the humanity of others? Should we care for others’ well-being? Respect them as autonomous agents? Largely neglected is an answer we can find in the religious traditions of Judaism, Christianity and Buddhism: we should love all. This paper argues that an ideal of love for all can be understood apart from its more typical religious contexts and moreover provides a unified and illuminating account of the the nature and grounds of morality. I defend a novel (...) account of love for all that avoids serious worries about the incoherence or impossibility of loving everyone. Doing so requires countenancing a neglected form of love. Love admits as its object not just individual entities like people and groups; we can also bear a love for the Fs in general---for all the Joneses, all the philosophers, or even all the human beings. I go on to argue that while it is possible for ordinary agents like us to love all, we shouldn't. Instead, we should approximate love for all. The minimal approximation of love for all is, surprisingly, respect; I derive the basic, structural features of deontological ethics (including anti-paternalism and anti-aggregation) from the ideal of loving all. (NB: This paper used to be titled "Ethics in the Shadow of Love" and has been cited as an unpublished manuscript under that title.). (shrink)

The Argument from Inductive Risk (AIR) is taken to show that values are inevitably involved in making judgements or forming beliefs. After reviewing this conclusion, I pose cases which are prima facie counterexamples: the unreflective application of conventions, use of black-boxed instruments, reliance on opaque algorithms, and unskilled observation reports. These cases are counterexamples to the AIR posed in ethical terms as a matter of personal values. Nevertheless, it need not be understood in those terms. The values which load a (...) theory choice may be those of institutions or past actors. This means that the challenge of responsibly handling inductive risk is not merely an ethical issue, but is also social, political, and historical. (shrink)

The no-miracles argument and the pessimistic induction are arguably the main considerations for and against scientific realism. Recently these arguments have been accused of embodying a familiar, seductive fallacy. In each case, we are tricked by a base rate fallacy, one much-discussed in the psychological literature. In this paper we consider this accusation and use it as an explanation for why the two most prominent `wholesale' arguments in the literature seem irresolvable. Framed probabilistically, we can see very clearly why realists (...) and anti-realists have been talking past one another. We then formulate a dilemma for advocates of either argument, answer potential objections to our criticism, discuss what remains (if anything) of these two major arguments, and then speculate about a future philosophy of science freed from these two arguments. In so doing, we connect the point about base rates to the wholesale/retail distinction; we believe it hints at an answer of how to distinguish profitable from unprofitable realism debates. In short, we offer a probabilistic analysis of the feeling of ennui afflicting contemporary philosophy of science. (shrink)

This book delves into esoteric knowledge, describing the structure of the universe (Brahmanda or Cosmic Egg) as a series of astral biospheres. These biospheres, or lokas, are linked to spiritual consciousness and degrees of divine bliss (Ananda). Advanced spiritual figures, such as Rishis and Mahatmas, can navigate these realms and help others evolve. The article presents a detailed comparison between “Puranic Hinduism” and “Sanatana Dharma”, specifically addressing their differences in cosmogenesis and spiritual evolution. The difference between the cosmogenesis of Puranic (...) Hinduism and Sanatana Dharma is that while the former is founded on the concept of Trimurti as taught by the Puranas, the latter is a Manu-centric and Guru-centric spiritual system. This has a lot of significance concerning the rituals and the social order they have produced. Here, the Cosmic Purusha is identifiable with Manu, not with Trimurti or the God of Abrahamic religions, because of their different spiritual status in the cosmological hierarchy. (shrink)

Some scientific categories seem to correspond to genuine features of the world and are indispensable for successful science in some domain; in short, they are natural kinds. This book gives a general account of what it is to be a natural kind and puts the account to work illuminating numerous specific examples.

The problem of underdetermination is thought to hold important lessons for philosophy of science. Yet, as Kyle Stanford has recently argued, typical treatments of it offer only restatements of familiar philosophical problems. Following suggestions in Duhem and Sklar, Stanford calls for a New Induction from the history of science. It will provide proof, he thinks, of “the kind of underdetermination that the history of science reveals to be a distinctive and genuine threat to even our best scientific theories” (Stanford 2001, (...) p. S12). This paper examines Stanford’s New Induction and argues that it – like the other forms of underdetermination that he criticizes – merely recapitulates familiar philosophical conundra. (shrink)

I've previously suggested that the historical evidence used to challenge scientific realism should lead us to embrace what I call Uniformitarianism, but many recently influential forms of scientific realism seem happy to share this commitment. I trace a number of further points of common ground that collectively constitute an appealing Middle Path between classical forms of realism and instrumentalism, and I suggest that many contemporary realists and instrumentalists have already become fellow travelers on this Middle Path without recognizing how far (...) they have thereby diverged from those who share their labels and slogans. I conclude by describing their central remaining disagreement and the sorts of evidence needed to resolve it. (shrink)

Sol LeWitt is probably most famous for wall drawings. They are an extension of work he had done in sculpture and on paper, in which a simple rule specifies permutations and variations of elements. With wall drawings, the rule is given for marks to be made on a wall. We should distinguish these algorithmic works from impossible-to-implement instruction works and works realized by following preparatory sketches. Taking the core feature of a wall drawing to be that it is algorithmic, some (...) of LeWitt's later works are wall drawings in name only. (shrink)

There are two senses of ‘what scientists know’: An individual sense (the separate opinions of individual scientists) and a collective sense (the state of the discipline). The latter is what matters for policy and planning, but it is not something that can be directly observed or reported. A function can be defined to map individual judgments onto an aggregate judgment. I argue that such a function cannot effectively capture community opinion, especially in cases that matter to us.

William James’ argument against William Clifford in The Will to Believe is often understood in terms of doxastic efficacy, the power of belief to influence an outcome. Although that is one strand of James’ argument, there is another which is driven by ampliative risk. The second strand of James’ argument, when applied to scientific cases, is tantamount to what is now called the Argument from Inductive Risk. Either strand of James’ argument is sufficient to rebut Clifford's strong evidentialism and show (...) that it is sometimes permissible to believe in the absence of compelling evidence. However, the two considerations have different scope and force. Doxastic efficacy applies in only some cases but allows any values to play a role in determining belief; risk applies in all cases but only allows particular conditional values to play a role. (shrink)

Given the fact that many people use Wikipedia, we should ask: Can we trust it? The empirical evidence suggests that Wikipedia articles are sometimes quite good but that they vary a great deal. As such, it is wrong to ask for a monolithic verdict on Wikipedia. Interacting with Wikipedia involves assessing where it is likely to be reliable and where not. I identify five strategies that we use to assess claims from other sources and argue that, to a greater of (...) lesser degree, Wikipedia frustrates all of them. Interacting responsibly with something like Wikipedia requires new epistemic methods and strategies. (shrink)

This discussion note addresses Caleb Hazelwood’s ‘Practice-Centered Pluralism and a Disjunctive Theory of Art’. Hazelwood advances a disjunctive definition of art on the basis of an analogy with species concept pluralism in the philosophy of biology. We recognize the analogy between species and art, we applaud attention to practice, and we are bullish on pluralism—but it is a mistake to take these as the basis for a disjunctive definition.

This paper argues against the common, often implicit view that theories are some specific kind of thing. Instead, I argue for theory concept pluralism: There are multiple distinct theory concepts which we legitimately use in different domains and for different purposes, and we should not expect this to change. The argument goes by analogy with species concept pluralism, a familiar position in philosophy of biology. I conclude by considering some consequences for philosophy of science if theory concept pluralism is correct.

What justifies our beliefs about what other people say? According to epistemic inferentialism​, the justification of comprehension-based beliefs depends on the justification of other beliefs, e.g., beliefs about what words the speaker uttered or even what sounds they produced. According to epistemic non-inferentialism, the justification of comprehension-based beliefs ​does not depend on the justification of other beliefs. This paper offers a new defense of epistemic non-inferentialism. First, I discuss three counterexamples to epistemic non-inferentialism provided recently by Brendan Balcerak Jackson. I (...) argue that only one of Balcerak Jackson’s counterexamples is effective, and that it is effective against only one version of epistemic non-inferentialism, viz. language comprehension dogmatism. Second, I propose an alternative version of epistemic non-inferentialism, viz. comprehension-process reliabilism, which is immune to these counterexamples. I conclude that we should follow Balcerak Jackson in his rejection of language comprehension dogmatism but not all the way to the endorsement of epistemic inferentialism. Comprehension-process reliabilism is superior to both these alternatives. (shrink)

Although some authors hold that natural kinds are necessarily relative to disciplinary domains, many authors presume that natural kinds must be absolute, categorical features of the reality —often assuming that without even mentioning the alternative. Recognizing both possibilities, one may ask whether the difference especially matters. I argue that it does. Looking at recent arguments about natural kind realism, I argue that we can best make sense of the realism question by thinking of natural kindness as a relation that holds (...) between a category and a domain. (shrink)

A critical note on Christopher Bartel and Jack M. C. Kwong, ‘Pluralism, Eliminativism, and the Definition of Art’, Estetika 58 (2021): 100–113. Art pluralism is the view that there is no single, correct account of what art is. Instead, art is understood through a plurality of art concepts and with considerations that are different for particular arts. Although avowed pluralists have retained the word ‘art’ in their discussions, it is natural to ask whether the considerations that motivate pluralism should lead (...) us to abandon art talk altogether; that is, should pluralism lead to eliminativism? This paper addresses arguments both for and against this move. We ultimately argue that pluralism allows one to retain the word ‘art’, if one wants it, but only in a loose, conversational sense. The upshot of pluralism is that talk of art in general cannot be asked to do theoretical and philosophical work. (shrink)

Cover songs are a familiar feature of contemporary popular music. Musicians describe their own performances as covers, and audiences use the category to organize their listening and appreciation. However, until now philosophers have not had much to say about them. This book explores how to think about covers, appreciating covers, and the metaphysics of covers and songs. Along the way, it explores a range of issues raised by covers, from the question of what precisely constitutes a cover, to the history (...) and taxonomy of the category, the various relationships that hold between songs, performances, and tracks, and the appreciation and evaluation of covers. (shrink)

This paper gives a characterization of distributed cognition (d-cog) and explores ways that the framework might be applied in studies of science. I argue that a system can only be given a d-cog description if it is thought of as performing a task. Turning our attention to science, we can try to give a global d-cog account of science or local d-cog accounts of particular scientific projects. Several accounts of science can be seen as global d-cog accounts: Robert Merton's sociology (...) of scientific norms, Philip Kitcher's 20th-century account of cognitive labor, and Kitcher's 21st-century notion of well-ordered science. Problems that arise for them arise just because of the way that they attribute a function to science. The paper concludes by considering local d-cog accounts. Here, too, the task is the crux of the matter. (shrink)

In 1956, a few writings of Wittgenstein that he didn't publish in his lifetime were revealed to the public. These writings were gathered in the book Remarks on the Foundations of Mathematics (1956). There, we can see that Wittgenstein had some discontentment with the way philosophers, logicians, and mathematicians were thinking about paradoxes, and he even registered a few polemic reasons to not accept Gödel’s incompleteness theorems.

When we ask what natural kinds are, there are two different things we might have in mind. The first, which I’ll call the taxonomy question, is what distinguishes a category which is a natural kind from an arbitrary class. The second, which I’ll call the ontology question, is what manner of stuff there is that realizes the category. Many philosophers have systematically conflated the two questions. The confusion is exhibited both by essentialists and by philosophers who pose their accounts in (...) terms of similarity. It also leads to misreading philosophers who do make the distinction. Distinguishing the questions allows for a more subtle understanding of both natural kinds and their underlying metaphysics. (shrink)