In cases of complicity in one’s own unfreedom and in structural injustice, it initially appears that agents are only vicariously responsible for their complicity because of the roles circumstantial and constitutive luck play in bringing about their complicity. By drawing on work from the phenomenological tradition, this paper rejects this conclusion and argues for a new responsive sense of agency and responsibility in cases of complicity. Highlighting the explanatory role of stubbornness in cases of complicity, it is argued that although (...) agents may only be vicariously responsible for becoming complicit, they can be held more directly responsible for entrenching their complicity. The complicit agent is responsible for their complicity to the extent that they fail to take responsibility for it. (shrink)

Thus Plotinus (what is his status in the history of metaphysics and in the "Platonic" era, if one follows Heidegger's reading?), who speaks of presence, that is, also of morphē, as the trace of nonpresence, as the amorphous (to gar ikhnos tou amorphous morphē). A trace which is neither absence nor presence, nor, in whatever modality, a secondary modality.In his reading of Heidegger in his 2003 seminar, published as The Beast and the Sovereign, Derrida is particularly troubled by one particular (...) aspect of Heidegger: Heidegger's "superabundant use" of the language of Walten.1 "As you see," Derrida writes of Heidegger's use of Walten, "late in my life of reading Heidegger, I have just discovered a word that seems to .. (shrink)

A recent focus on philosophical methodology has reinvigorated ordinary language philosophy with the contention that philosophical inquiry is better served by attending to the ordinary use of language. Taking cues from findings in the social sciences that deploy methods utilizing language, various ordinary language philosophers embrace a guiding mandate: that ordinary language usage is more reflective of our linguistic and conceptual competencies than standard philosophical methods. We analyze two hypotheses that are implicit in the research from which ordinary language approaches (...) take their cues. This pair of optimistic assumptions (a) bind word meanings to properties of their corresponding concepts and (b) regard language as a direct reflection of our underlying cognitive processes and competencies. Polysemy and pragmatics complicate each assumption. Because the ordinary language philosopher’s methodological mandate compels us to consider how individuals process the utterances they encounter in deciphering the communicative intentions of speakers, failing to attend to the import of polysemy and pragmatics in philosophical and empirical methods has the potential to frustrate the aims of their insightful mandate. The significance of those two complications is worked out with the case study of knowledge. (shrink)

ABSTRACT Testimony from victims of gendered violence is often wrongly disbelieved. This paper explores a way to address this problem by developing a phenomenological approach to testimony. Guided by the concept of ‘disclosedness’, a tripartite analysis of testimony as an affective, embodied, communicative act is developed. Affect indicates how scepticism may arise through the social moods that often attune agents to victims’ testimony. The embodiment of meaning suggests testimony should not be approached as an assertion, but as a process of (...) ‘articulating an understanding’. This account is deepened in the discussion of testimony as a communicative act. It is argued that testimony must be considered as a relational whole, and thus our aim in receiving victims’ testimony should be to honour the relational conditions under which the truth of testimony can be heard. Approaching testimony as the collaborative process of enabling an understanding to be articulated can enhance our conception of gendered violence, whilst also better serving the victims of gendered violence by helping to overcome the lack of trust and excessive scepticism with which victims’ testimony is often met. (shrink)

Some scientific explanations appear to turn on pure mathematical claims. The enhanced indispensability argument appeals to these ‘mathematical explanations’ in support of mathematical platonism. I argue that the success of this argument rests on the claim that mathematical explanations locate pure mathematical facts on which their physical explananda depend, and that any account of mathematical explanation that supports this claim fails to provide an adequate understanding of mathematical explanation.

An important question confronting feminist philosophers is why women are sometimes complicit in their own subordination. The dominant view holds that complicity is best understood in terms of adaptive preferences. This view assumes that agents will naturally gravitate away from subordination and towards flourishing as long as they do not have things imposed on them that disrupt this trajectory. However, there is reason to believe that ‘impositions’ do not explain all of the ways in which complicity can arise. This paper (...) defends a phenomenological account of complicity, which offers an alternative explanation. (shrink)

Feminists have always been concerned with how the clothes women wear can reinforce and reproduce gender hierarchy. However, they have strongly disagreed about what to do in response: some have suggested that the key to feminist liberation is to stop caring about how one dresses; others have replied that the solution is to give women increased choices. In this paper, we argue that neither of these dominant approaches is satisfactory and that, ultimately, they have led to an impasse that pervades (...) the contemporary feminist debate. The problem is that both sides of the debate understand women’s complicity in patriarchal subordination as a matter of what women wear and do. Instead, we propose a phenomenological analysis that understands complicity as based in our relations to our clothes. Starting from this phenomenological perspective, we sketch a new relational feminist ethics of dressing. This alternative ethical paradigm cannot yield a simple recipe for how to dress or tell us what garments are off-limits. But it can offer a way to make critical feminist judgements about clothes without veering into a stifling new prescriptivism. (shrink)

Fitch's knowability paradox shows that for each unknown truth there is also an unknowable truth, a result which has been thought both odd in itself and at odds with views which impose epistemic constraints on truth and/or meaningfulness. Here a solution is considered which has received little attention in the debate but which carries prima facie plausibility. The decidability solution is to accept that Fitch sentences are unknowably true but deny the significance of this on the grounds that Fitch sentences (...) are nevertheless decidable. The decidability solution is particularly attractive for those whose primary concern is an epistemic constraint on meaningfulness (‘verificationists’). For those whose main concern is truth (‘anti-realists’), the situation is more complex: Melia takes the solution to exonerate anti-realism completely; Williamson sees it as completely irrelevant. The truth lies between these two extremes: there is one broad anti-realist commitment to which the solution does not apply, but there is also one, the “fundamental tenet” of anti-realism according to Dummett, to which it does. (shrink)

The paper addresses claims that Aristotle's notion of happiness is inconsistent given his expositions of happiness in Book I and Book X of NE. It argues that such claims are rooted in the erroneous conclusion that Aristotle defines happiness in Book I as living a "good life", and an unwarranted assumption that when Aristotle identifies happiness with contemplation, he has a professional philosopher in mind and contemplation as an activity one engages in leisurely and as a means of intellectual conditioning. (...) It further argues that happiness as Aristotle understands it is a reward for cultivating virtuous character and though everyone has the capacity for it, only few will attain happiness since it requires exertion and effort and many are unwilling to prioritize such acquisition. (shrink)

The paper examines Heidegger's notions of truth and knowledge in the context of Locke's theory of same. It argues that when Heidegger's expositions of "primordial truth" and knowledge as a "retainment of assertion" are analyzed in their Beings, new and improved definitions emerge which support Locke's ideas of truth and knowledge. It shows that Heidegger's primordial truth is the process which uncovers Locke's propositional truth and on which any knowledge must be based. Wherefrom, to solve the problem of what knowledge (...) is and how one defines it, one must start with Heidegger's conceptions of truth and knowledge. (shrink)

Reflections on the role and position of maternal relations within philosophy as a practical discipline, as a metaphor for philosophical practice, and as a subject of philosophical investigation.

I argue in this paper that the cases Gettier considers are not examples of justified true beliefs and that the question whether justified true belief sufficiently defines knowledge is not in fact, addressed. Indeed, the question is wholly untouched by Gettier or glossed over at best.

We demonstrate how real progress can be made in the debate surrounding the enhanced indispensability argument. Drawing on a counterfactual theory of explanation, well-motivated independently of the debate, we provide a novel analysis of ‘explanatory generality’ and how mathematics is involved in its procurement. On our analysis, mathematics’ sole explanatory contribution to the procurement of explanatory generality is to make counterfactual information about physical dependencies easier to grasp and reason with for creatures like us. This gives precise content to key (...) intuitions traded in the debate, regarding mathematics’ procurement of explanatory generality, and adjudicates unambiguously in favour of the nominalist, at least as far as explanatory generality is concerned. (shrink)

This paper is based on case study research conducted in an economically depressed, immigrant gateway neighborhood of Escondido, California. This study has been in progress since 2005 and involves working with children at the local middle school on rights-based community environ- mental action research projects in coordination with student facilitators in an upper-division uni- versity class titled “Children and the Environment.” This case study has suggested inquiry into the practical ethical dimensions of working with children, administrators, and university students on (...) action research. Examples of the ethical questions which arose during this study include: how can continuity for the middle school children be achieved as different groups of university stu- dents move in and out of the project as they take and finish the “Children and the Environment” class, and is it ethical for the middle school children’s work to be facilitated by university stu- dents only freshly trained in the action research technique? This paper explores these and other ethical questions involving power, coercion, tension over expectations, and obligation and pro- vides direction for on-going ethical questions scholars should pursue in involving children in rights-based community environmental action research. (shrink)

In this article I first set out Aristotle's explanation of chance as a term that refers to an event that occurs unusually and that appears significant in the context of the human search to achieve a goal. On this basis Aristotle argues against Democritus that the order in the universe could not be due to chance. Aristotle argues that all natural beings strive for their full potential and greatest possible development, and this is their way of striving for the goodness (...) of God. And they strive for survival and to remain in their best condition for as long as possible, and this is their way of striving for the eternity of God. Chance abnormalities occur accidentally in this process. This view of Aristotle enables us to give a much more satisfactory explanation of the evolution of species than that put forward by Darwin and Neodarwinians. In the field of ethics Aristotle argues that a certain measure of good fortune is required for happiness and even for the performance of virtuous acts. Finally, Aristotle rejects determinism and supports his belief in free choice by means of the reality of accidental occurrences and indeterminism in the field of physics. (shrink)

IPCC SPECIAL REPORT ON CLIMATE CHANGE AND LAND (SRCCL) -/- Chapter 3: Climate Change and Land: An IPCC special report on climate change, desertification, land degradation, sustainable land management, food security, and greenhouse gas fluxes in terrestrial ecosystems.

I follow the distinction of predicative versus attributive adjectives introduced by P.T. Geach in 1956 and discuss Atina Knowles' arguments contra the revisions of Geach's original conception.

Many philosophers reject the Language of Thought Hypothesis (LOT) on the grounds that is leads to an explanatory regress problem. According to this line of argument, LOT is invoked to explain certain features of natural language, but the language of thought has the very same features and consequently no explanatory progress has been made. In an earlier paper (“Regress Arguments against the Language of Thought”, Analysis 57.1), we argued that this regress argument doesn’t work and that even proponents of LOT (...) have given the regress argument too much credit. In this paper, we extend our critique of the regress argument against LOT by responding to J. Knowles’s commentary of our earlier paper (in “The Language of Thought and Natural Language Understanding”, Analysis 58.4). (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)

Otto Neurath’s empiricist methodology of economics and his contributions to politi- cal economy have gained increasing attention in recent years. We connect this research with contemporary debates regarding the epistemological status of thought experiments by reconstructing Neurath’s utopias as linchpins of thought experiments. In our three reconstructed examples of different uses of utopias/dystopias in thought experiments we employ a reformulation of Häggqvist’s model for thought experiments and we argue that: (1) Our reformulation of Häggqvist’s model more adequately complies with many (...) uses of thought experiments, especially with the open-ended discussions of utopias and dys- topias in thought experiments. (2) As a strict logical empiricist, Neurath is committed to a strictly empiricist account of thought experiments. John Norton’s empiricist argument view can indeed account for the justifications of empirical beliefs and genuine discoveries targeted by scientific utopianism in three distinct (yet connected) ways, all of which Neur- ath already contemplated: (2.I) Dealing with utopias and thought experiments on a regular basis increases creativity and inventiveness. (2.II) Particular ways of presenting knowl- edge facilitate scientific discovery and social progress. (2.III) The use of utopias in thought experiments can prompt conceptual change and allow access to new phenomena. We con- clude by highlighting that, even though thought experiments support a positive attitude for exploring new social possibilities, Neurath points out that active decisions are unavoidable. The exploration of alternatives and the awareness of a need for decisions in policy discus- sion avert a technocratic outlook in social science. (shrink)

This is the introductory essay to the collection of essays: 'Acquaintance: New Essays' (eds. Knowles & Raleigh, forthcoming, OUP). In this essay I provide some historical background to the concept of acquaintance. I examine various Russellian theses about acquaintance that contemporary acquaintance theorists may wish to reject. I consider a number of questions that acquaintance theorists face. I provide a survey of current debates in philosophy where acquaintance has recently been invoked. And I also provide brief summaries of the (...) other essays in this volume. (shrink)

Taking perceptual experience to consist in a relation of acquaintance with the sensible qualities, I argue that the state of being acquainted with a sensible quality is intrinsically a form of knowledge, and not merely a means to more familiar kinds of knowledge, such as propositional or dispositional knowledge. We should accept the epistemic claim for its explanatory power and theoretical usefulness. That acquaintance is knowledge best explains the intuitive epistemic appeal of ‘Edenic’ counterfactuals involving unmediated perceptual contact with reality (...) (cf. Chalmers, in: Gendler, Hawthorne (eds) Perceptual experience, Oxford University Press, 2006). It explains the elusiveness of knowledge gained through new acquaintances. It coheres with the knowledge-like functional role of acquaintance in the special context of evaluative beliefs and evaluative reasoning, where the objects of acquaintance serve as evidence and inferential basis. And, finally, taking acquaintance to be knowledge is theoretically fruitful: it helps vindicate claims about the relationship between knowledge and concern for others we already find intuitive or outright accept. After developing a novel case for the epistemic claim, I respond to two familiar objections against it: namely, (1) that there are no pre-propositional, pre-conceptual cases of perceptual experience that remain epistemically relevant (Sellars in Empiricism and the philosophy of mind, Routledge, 1968, McDowell, in: Lindgard (ed) John McDowell: Experience, norm, and nature, Blackwell, 2008); and (2) that the category of knowledge appears gerrymandered once we add ‘object’ knowledge to the epistemological mix (Farkas, in: Knowles, Raleigh (eds), Acquaintance: new essays, Oxford University Press, 2019). (shrink)

An argument for pro-choice advocates engaging the ethical arguments about abortion, and more. Public philosophy on abortion and the value of philosophy. With Jonathan Dudley, MD.

According to Anscombe, acting intentionally entails knowledge in ac- tion. This thesis has been near-universally rejected due to a well-known counter- example by Davidson: a man intending to make ten legible carbon copies might not believe with confidence, and hence not know, that he will succeed. If he does, however, his action surely counts as intentional. Damaging as it seems, an even more powerful objection can be levelled against Anscombe: while act- ing, there is as yet no fact of the (...) matter as to whether the agent will succeed. Since his belief that he will is not yet true while his action is in progress, he can- not possibly know that he is indeed bringing about the intended goal. Knowl- edge in action is not only unnecessary for intentional action, it seems, but–at least as regards success-bound types of action–impossible to attain in the first place. -/- In this paper I argue that traditional strategies to counter these objections are unsatisfactory and propose a new account of knowledge in action which has two core features: (i) It invokes an externalist conception of justification which not only meets Davidson’s challenge, but also casts doubts on the tacit internalist premise on which his example relies. (ii) Drawing on recent work about by John MacFarlane, the proposed account conceives of claims to in action as assessment-sensitive so as to overcome the factivity objection. From a retrospective point of evaluation, previous claims about future events and actions can not only be deemed as having been true, but also as having been known. (shrink)

The dominant approach to analyzing the meaning of natural language sentences that express mathematical knowl- edge relies on a referential, formal semantics. Below, I discuss an argument against this approach and in favour of an internalist, conceptual, intensional alternative. The proposed shift in analytic method offers several benefits, including a novel perspective on what is required to track mathematical content, and hence on the Benacerraf dilemma. The new perspective also promises to facilitate discussion between philosophers of mathematics and cognitive scientists (...) working on topics of common interest. (shrink)

Dans l’œuvre de Platon, l’image du rêve semble d’abord servir à désigner l’état d’ignorance du commun des mortels qui « rêvent » leur vie. Cet usage métaphorique ne saurait correspondre parfaitement à la pensée platoni- cienne du phénomène onirique, particulièrement lorsqu’on l’envisage d’un point de vue éthique (qu’advient-il de la vertu de l’homme dans son sommeil ?), plutôt qu’épistémologique ou ontologique. Dans la République, le sommeil apparaît essentiellement comme l’endormissement d’une partie de l’âme – la rationnelle – au profit d’une (...) autre – la désirante. Platon laisse pourtant entendre que, sous certaines conditions, les visions qui s’y manifestent ne sont pas nécessairement mensongères et pourraient même, pour certaines, avoir une origine divine. Le rêve doit donc être compris non seulement comme un moment de séparation de l’âme et du corps, mais aussi de différenciation des facultés ou parties de l’âme elles-mêmes qui acquièrent là leur autonomie propre et déploient, sans se limiter l’une l’autre, leur plein pouvoir. In Plato’s works the image of a dream at first seems to serve the purpose of indicating the state of ignorance of ordinary humans who « dream » their way through life. This metaphorical usage does not reflect perfectly Plato’s thought on the phenomenon of dreams, especially when it is considered from an ethical point of view (what happens to human virtue during sleep?) rather than an epistemological or ontological one. In the Republic sleep appears to be essen- tially where a part of the soul goes asleep – namely the rational part – to the advantage of the desiring part. However, Plato implies that under certain condi- tions the visions that occur in sleep are not necessarily false and could even, in some cases, have a divine origin. Dreams must therefore be understood not merely as a moment of separation of soul and body, but also of differentiation of the faculties or parts of the soul themselves, which acquire their own autonomy in dreams and deploy their full power without limiting one another (transl. J. Dudley). (shrink)

This paper outlines new work in cross-cultural psychology largely drawn from Nisbett, Choi, and Smith (Cognition, 65, 15–32, 1997); Nisbett, Peng, Choi, & Norenzayan, Psychological Review, 108(2), 291–310, 2001; Nisbett, The Geography of Thought: How Asians and Westerners Think Differently...and Why. New York: Free Press 2003), Ji, Zhang and Nisbett (Journal of Personality and Social Psychology, 87(1), 57–65, 2004), Norenzayan (2000) and Peng (Naive Dialecticism and its Effects on Reasoning and Judgement about Contradiction. University of Michigan, Ann Arbor, Michigan 1997) (...) Peng and Nisbett (Cross-Cultural Similarities and Differences in the Understanding of Physical Causality. Paper presented at the Science and Culture: Proceedings of the Seventh Interdisciplinary Conference on Science and Culture, Frankfort, K. Y. 1996), and Peng, Ames, & Knowles (Culture and Human Inference: Perspectives from three traditions. In: D. Matsumoto (Ed.), Handbook of Cross-Cultural Psychology (pp. 1–2). Oxford: Oxford University Press 2000). The paper argues that the findings on cultural influences on inference-making have implications for teaching and education generally, and specifically for the debate on conceptions and misconceptions of Asian students studying in western tertiary institutions around the world. The position defended is that, while there seems to be compelling empirical evidence for intercultural differences in thought patterns, these patterns are, for the most part, insignificant in everyday exchanges, though language and culture might subtlety modulate our inference-making at the margins. Linguistic determinism however is not defended. Nonetheless, the evidence provides food for thought, and it needs to inform the recent debates about international students studying overseas. (shrink)

This chapter aims to deepen Donald Schön’s insight about jazz playing as an example of what he calls “reflection-in-action” (RiA) by situating this notion within the enactive view of humans as linguistic bodies. Our main claim is that the knowl-edge or skills displayed by expert jazz musicians must be understood as aural and communicative in nature. After presenting the notions of RiA and linguistic bodies, we develop our view through a critical discussion of four statements from Schön’s passage on jazz (...) musicianship, before wrapping up and clarifying the position we are advocating. This way, we suggest a revised version of Schön’s concept, which we call “reflection in communicative jazz action.". (shrink)

The standard objection against naturalised epistemology is that it cannot account for normativity in epistemology (Putnam 1982; Kim 1988). There are different ways to deal with it. One of the obvious ways is to say that the objection misses the point: It is not a bug; it is a feature, as there is nothing interesting in normative principles in epistemology. Normative epistemology deals with norms but they are of no use in prac-tice. They are far too general to be guiding (...) principles of research, up to the point that they even seem vacuous (see Knowles 2003). In this chapter, my strategy will be different and more in spirit of the founding father of naturalized epistemology, Quine, though not faithful to the letter. I focus on methodological prescriptions supplied by cogni-tive science in re-engineering of cognitive architectures. Engineering norms based on mechanism design weren’t treated as seriously as they should in epistemology, and that is why I will develop a sketch of a framework for researching them, starting from analysing cognitive sci-ence as engineering in section 3, then showing functional normativity in section 4, to eventually present functional engineering models of cogni-tive mechanisms as normative in section 5. Yet before showing the kind of engineering normativity specific for these prescriptions, it is worth-while to review briefly the role of normative methodology and the levels of norm complexity in it, and show how it follows Quine’s steps. (shrink)

In this paper, I would argue for a mindful sports philosophy that stresses that wisdom does not emerge from abstract thinking; instead, it requires that we become attentive to what is concrete: our everyday life and how we spend it. Do we spend our life wisely or not? Answering this question requires that we know ourselves sufficiently — that is to say, have we explored and examined our own life by paying attention to it while we are living it? Am (...) I aware of how my life constantly intervenes with life in general and vice versa? To exemplify this philosophical approach, I will refer to examples from mod- ern football coaching that illustrate how they play themselves and their team into certain thoughts, not the other way around. However, a crucialю part of coaching and leading in sports relies on self-knowledge, not as something that only emerges from the inside out but equally from how the outside affects us. In this paper, I will argue how a mindful sports philosophy understands self-knowl- edge as both an introspection and “interiosation” of the outside with the quest of becoming worthy of what happens. (shrink)

Neste texto trato da possibilidade de defender uma “ontolo- gia da singularidade” e seus reflexos no problema do conhecimento, bem como de oferecer uma introdução à questão da linguagem, todos estes problemas compreendidos como elementos de interesse no pensamento de Ludwig Feuerbach (1804-1872), restringindo-me a uma investigação situada nos limites de Zur Kritik der Hegelschen Philosophie (1839). Em primeiro lugar procuro desenvolver a demarcação con- ceitual do que chamo de “ontologia da singularidade”, pressuposto a partir do qual coube a Feuerbach (...) empreender uma rearticulação da filosofia com a realidade material concreta, e as implicações desta questão para o tema do conhecimento. Em segundo, proponho que estes problemas parecem vir de algum modo relacionados a uma discussão sobre a linguagem, concebida como meio de expressão do pensamento. -/- This text deals with the possibility of defending “ontology of singularity” and its reflexes on the problem of knowl- edge, as well as offering an introduction to the question of language, all these problems understood as elements of interest in Ludwig Feuerbach’s thought (1804-1872), what bounds the investigation to the limits of Zur Kritir der Hegelschen Philosophie (1839). It seeks, firstly, to develop the conceptual demarcation of what is called here in this work “ontology of singularity”, on the basis of which it was up to Feuerbach to come up with the reartic- ulating of philosophy with concrete material reality, including the implications of this question for the theme of knowledge. On a second hand, it is proposed that these problems seem to come in some way from a discussion of language conceived as a means of expressing thought. (shrink)

The paper reconstructs the life and activity of the author of a famous novel for boys as well as of a textbook of arithmetic and of essays on educational issues, who was also the sister of a famous economist. The bulk of the paper is dedicated to Alfred Dudley, a novel for boys about wealth, status, speculation, poverty, manual work, emigration and the role of virtue in making a decent society possible. Also the author’s educational views are discussed, highlighting (...) her opposition to Benthamite programs and her proposal for an inter-denominational religious education, and arguing that her contributions to plans for a general education system were meant to respond to what had been Smith’s, Malthus’s, and perhaps also her brother’s question, namely, how may wealth and virtue go together? (shrink)

The paper continues my earlier Chat with OpenAI’s ChatGPT with a Focused LLM Experiment (FLEX). The idea is to conduct Large Language Model (LLM) based explorations of certain areas or concepts. The approach is based on crafting initial guiding prompts and then follow up with user prompts based on the LLMs’ responses. The goals include improving understanding of LLM capabilities and their limitations culminating in optimized prompts. The specific subjects explored as research subject matter include a) diagonalization techniques as practiced (...) by Cantor, Turing, Gödel, and the advances, such as the Forcing techniques introduced by Paul Cohen and later investigators, b) Knowledge Hierarchies & Mapping Exercises, c) Discussions of IJ Good’s Speculations Concerning the First Ultraintelligent Machine, AGI, and Super- intelligence. Results suggest variability between major models like ChatGPT-4, Llama-3, Cohere, Sonnet and Opus. Results also point to strong dependence on users’ preexisting knowledge and skill bases. The paper should be viewed as ’raw data’ rather than a polished authoritative reference. (shrink)