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Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th–16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. This brought about the crucial change in the concept of number that made possible modern science — in which the symbolic "form" of a mathematical statement is completely inseparable from its "content" of physical meaning. Includes a translation of Vieta's Introduction to the Analytical Art. 1968 edition. Bibliography.

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Are evolution and creation irreconcilably opposed? Is 'intelligent design' theory an unhappy compromise? Is there another way of approaching the present-day divide between religious and so-called secular views of the origins of life?Jacob Klapwijk offers a philosophical analysis of the relation of evolutionary biology to religion, and addresses the question of whether the evolution of life is exclusively a matter of chance or is better understood as including the notion of purpose. Writing from a Christian point of view, (...) he criticizes creationism and intelligent design theory as well as opposing reductive naturalism. He offers an alternative to both and an attempt to bridge the gap between them, via the idea of 'emergent evolution'. In this theory the process of evolution has an emergent or innovative character resulting in a living world of ingenious, multifaceted complexity. (shrink)

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Recent artificial intelligence advances, especially those of large language models (LLMs), have increasingly shown glimpses of human-like intelligence. This has led to bold claims that these systems are no longer a mere “it” but now a “who,” a kind of person deserving respect. In this paper, I argue that this view depends on a Cartesian account of personhood, on which identifying someone as a person is based on their cognitive sophistication and ability to address common-sense reasoning problems. I contrast this (...) with a different account of personhood, one where an agent is a person if they are autonomous, responsive to norms, and culpable for their actions. On this latter account, I show that LLMs are not person-like, as evidenced by their propensity for dishonesty, inconsistency, and offensiveness. Moreover, I argue current LLMs, given the way they are designed and trained, cannot be persons—either social or Cartesian. The upshot is that contemporary LLMs are not, and never will be, persons. (shrink)

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Totalism is the view that one distribution of well-being is better than another just in case the one contains a greater sum of well-being than the other. Many philosophers, following Parfit, reject totalism on the grounds that it entails the repugnant conclusion: that, for any number of excellent lives, there is some number of lives that are barely worth living whose existence would be better. This paper develops a theory of welfare aggregation—the lexical-threshold view—that allows totalism to avoid the repugnant (...) conclusion, as well as its analogues involving suffering populations and the lengths of individual lives. The theory is grounded in some independently plausible views about the structure of well-being, identifies a new source of incommensurability in population ethics, and avoids some of the implausibly extreme consequences of other lexical views, without violating the intuitive separability of lives. (shrink)

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According to proponents of the continuity hypothesis, metaphors represent one end of a spectrum of linguistic phenomena, which includes various forms of loosening/broadening, such as category extensions and approximations, as well as hyperbolic interpretations. The continuity hypothesis is used to establish that the inferences derived from the set of linguistic expressions mentioned above result from the same or nearly similar pragmatic processes. In this paper, we want to challenge that particular aspect of the continuity hypothesis. We do so based on (...) considerations and analysis of an understudied linguistic phenomenon that we call the metaphorical uses of proper names (MPNs). We first explain how MPNs represent a unique linguistic class distinguishable from, for example, nicknames. In addition, we offer some remarks on how MPNs can be understood against the background of current debates between referentialists and predicativists about names. Our discussion leads us to conclude that MPNs are categorically different from literal interpretations of proper names. We spell out the consequences that the results of our analysis have for the continuity hypothesis. (shrink)

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Robustness is a common platitude: hypotheses are better supported with evidence generated by multiple techniques that rely on different background assumptions. Robustness has been put to numerous epistemic tasks, including the demarcation of artifacts from real entities, countering the “experimenter’s regress,” and resolving evidential discordance. Despite the frequency of appeals to robustness, the notion itself has received scant critique. Arguments based on robustness can give incorrect conclusions. More worrying is that although robustness may be valuable in ideal evidential circumstances (i.e., (...) when evidence is concordant), often when a variety of evidence is available from multiple techniques, the evidence is discordant. †To contact the author, please write to:Jacob Stegenga, Department of Philosophy, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093; e‐mail:[email protected]. (shrink)

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I defend the view that a reason for someone to do something is just a reason why she ought to do it. This simple view has been thought incompatible with the existence of reasons to do things that we may refrain from doing or even ought not to do. For it is widely assumed that there are reasons why we ought to do something only if we ought to do it. I present several counterexamples to this principle and reject some (...) ways of understanding "ought" so that the principle is compatible with my examples. I conclude with a hypothesis for when and why the principle should be expected to fail. (shrink)

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Close attention to Kant’s comments on animal minds has resulted in radically different readings of key passages in Kant. A major disputed text for understanding Kant on animals is his criticism of G. F. Meier’s view in the 1762 ‘False Subtlety of the Four Syllogistic Figures’. In this article, I argue that Kant’s criticism of Meier should be read as an intervention into an ongoing debate between Meier and H. S. Reimarus on animal minds. Specifically, while broadly aligning himself with (...) Reimarus, Kant distinguishes himself from both Meier and Reimarus on the role of judgement in human consciousness. (shrink)

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Lara Buchak argues for a version of rank-weighted utilitarianism that assigns greater weight to the interests of the worse off. She argues that our distributive principles should be derived from the preferences of rational individuals behind a veil of ignorance, who ought to be risk averse. I argue that Buchak’s appeal to the veil of ignorance leads to a particular way of extending rank-weighted utilitarianism to the evaluation of uncertain prospects. This method recommends choices that violate the unanimous preferences of (...) rational individuals and choices that guarantee worse distributions. These results, I suggest, undermine Buchak’s argument for rank-weighted utilitarianism. (shrink)

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Matthew Adler's Measuring Social Welfare is an introduction to the social welfare function (SWF) methodology. This essay questions some ideas at the core of the SWF methodology having to do with the relation between the SWF and the measure of well-being. The facts about individual well-being do not single out a particular scale on which well-being must be measured. As with physical quantities, there are multiple scales that can be used to represent the same information about well-being; no one scale (...) is special. Like physical laws, the SWF and its ranking of distributions cannot depend on exactly which of these scales we use. Adler and other theorists in the SWF tradition have used this idea to derive highly restrictive constraints on the shape of the SWF. These constraints rule out seemingly plausible views about distributive justice and population ethics. I argue, however, that these constraints stem from a simple but instructive mistake. The SWF should not be applied to vectors of numbers such as 1 and 2, but rather to vectors of dimensioned quantities such as 1 util and 2 utils. This seemingly pedantic suggestion turns out to have far-reaching consequences. Unlike the orthodox SWF approach, treating welfare levels as dimensioned quantities lets us distinguish between real changes in well-being and mere changes in the unit of measurement. It does this without making the SWF depend on the scale on which welfare is measured, and in a way that avoids the restrictive constraints on the shape of the SWF. (shrink)

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Some of a person's mental states have the power to represent real and imagined states of affairs: they have semantic properties. What Minds Can Do has two goals: to find a naturalistic or non-semantic basis for the representational powers of a person's mind, and to show that these semantic properties are involved in the causal explanation of the person's behaviour. In the process, this 1997 book addresses issues that are central to much contemporary philosophical debate. It will be of interest (...) to a wide range of readers in philosophy of mind and of language, cognitive science, and psychology. (shrink)

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Is well-being the kind of thing that can be summed across individuals? This paper takes a measurement-theoretic approach to answering this question. To make sense of adding well-being, we would need to identify some natural "concatenation" operation on the bearers of well-being that satisfies the axioms of extensive measurement and can therefore be represented by the arithmetic operation of addition. I explore various proposals along these lines, involving the concatenation of segments within lives over time, of entire lives led alongside (...) one another or in sequence, and of evaluatively basic propositions via conjunction. All of these proposals turn out to carry highly controversial commitments about the good. I do not claim that these commitments are unacceptable. But they suggest that we cannot simply take for granted, as many philosophers do, that there is any such thing as the sum of well-being. (shrink)

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There is a current debate about if, and in what sense, machine learning systems used in the medical context need to be explainable. Those arguing in favor contend these systems require post hoc explanations for each individual decision to increase trust and ensure accurate diagnoses. Those arguing against suggest the high accuracy and reliability of the systems is sufficient for providing epistemic justified beliefs without the need for explaining each individual decision. But, as we show, both solutions have limitations—and it (...) is unclear either address the epistemic worries of the medical professionals using these systems. We argue these systems do require an explanation, but an institutional explanation. These types of explanations provide the reasons why the medical professional should rely on the system in practice—that is, they focus on trying to address the epistemic concerns of those using the system in specific contexts and specific occasions. But ensuring that these institutional explanations are fit for purpose means ensuring the institutions designing and deploying these systems are transparent about the assumptions baked into the system. This requires coordination with experts and end-users concerning how it will function in the field, the metrics used to evaluate its accuracy, and the procedures for auditing the system to prevent biases and failures from going unaddressed. We contend this broader explanation is necessary for either post hoc explanations or accuracy scores to be epistemically meaningful to the medical professional, making it possible for them to rely on these systems as effective and useful tools in their practices. (shrink)

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Since the 1950s, philosophers and AI researchers have held that disambiguating natural language sentences depended on common sense. In 2012, the Winograd Schema Challenge was established to evaluate the common-sense reasoning abilities of a machine by testing its ability to disambiguate sentences. The designers argued only a system capable of “thinking in the full-bodied sense” would be able to pass the test. However, by 2023, the original authors concede the test has been soundly defeated by large language models which still (...) seem to lack common sense of full-bodied thinking. In this paper, we argue that disambiguating sentences only seemed like a good test of common-sense based on a certain picture of the relationship between linguistic comprehension and semantic knowledge—one typically associated with the early computational theory of mind and Symbolic AI. If this picture is rejected, as it is by most LLM researchers, then disambiguation ceases to look like a comprehensive test of common-sense and instead appear only to test linguistic competence. The upshot is that any linguistic test, not just disambiguation, is unlikely to tell us much about common sense or genuine intelligence. (shrink)

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According to Rosenthal's higher-order thought (HOT) theory of consciousness, one is in a conscious mental state if and only if one is aware of oneself as being in that state via a suitable HOT. Several critics have argued that the possibility of so-called targetless HOTs—that is, HOTs that represent one as being in a state that does not exist—undermines the theory. Recently, Wilberg (2010) has argued that HOT theory can offer a straightforward account of such cases: since consciousness is a (...) property of mental state tokens, and since there are no states to exhibit consciousness, one is not in conscious states in virtue of targetless HOTs. In this paper, I argue that Wilberg's account is problematic and that Rosenthal's version of HOT theory, according to which a suitable HOT is both necessary and sufficient for consciousness, is to be preferred to Wilberg's account. I then argue that Rosenthal's account can comfortably accommodate targetless HOTs because consciousness is best understood as a property of individuals, not a property of states. (shrink)

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How should we choose between uncertain prospects in which different possible people might exist at different levels of wellbeing? Alex Voorhoeve and Marc Fleurbaey offer an egalitarian answer to this question. I give some reasons to reject their answer and then sketch an alternative, which I call person-affecting prioritarianism.

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The Meno, one of the most widely read of the Platonic dialogues, is seen afresh in this original interpretation that explores the dialogue as a theatrical presentation. Just as Socrates's listeners would have questioned and examined their own thinking in response to the presentation, so, Klein shows, should modern readers become involved in the drama of the dialogue. Klein offers a line-by-line commentary on the text of the Meno itself that animates the characters and conversation and carefully probes each significant (...) turn of the argument. "A major addition to the literature on the Meno and necessary reading for every student of the dialogue."--Alexander Seasonske, Philosophical Review "There exists no other commentary on Meno which is so thorough, sound, and enlightening."-- ChoiceJacob Klein was a student of Martin Heidegger and a tutor at St. John's College from 1937 until his death. His other works include Plato's Trilogy: Theaetetus, the Sophist, and the Statesman, also published by the University of Chicago Press. (shrink)

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The surge in interest in natural language processing in artificial intelligence has led to an explosion of new language models capable of engaging in plausible language use. But ensuring these language models produce honest, helpful, and inoffensive outputs has proved difficult. In this paper, I argue problems of inappropriate content in current, autoregressive language models—such as ChatGPT and Gemini—are inescapable; merely predicting the next word is incompatible with reliably providing appropriate outputs. The various fine-tuning methods, while helpful, cannot transform the (...) model from mere next word prediction to the kind of planning and forethought necessary for saying the right thing. The upshot is that these models will increasingly churn out bland, generic responses that will still fail to be accurate or appropriate. (shrink)

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As we build increasingly intelligent machines, we confront difficult questions about how to specify their objectives. One approach, which we call human-centered, tasks the machine with the objective of learning and satisfying human objectives by observing our behavior. This paper considers how human-centered AI should conceive the humans it is trying to help. We argue that an Aristotelian model of human agency has certain advantages over the currently dominant theory drawn from economics.

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Panpsychism is a solution to the mind-body problem that presumes that consciousness is a fundamental aspect of reality instead of a product or consequence of physical processes (i.e., brain activity). Panpsychism is an elegant solution to the mind-body problem: it effectively rids itself of the explanatory gap materialist theories of consciousness suffer from. However, many theorists and experimentalists doubt panpsychism can ever be successful as a scientific theory, as it cannot be empirically verified or falsified. In this paper, I present (...) a panpsychist model based on the controversial idea that consciousness may be a so called higher physical dimension. Although this notion seems outrageous, I show that the idea has surprising explanatory power, even though the model (as most models) is most likely wrong. Most importantly, though, it results in a panpsychist model that yields predictions that can be empirically verified or falsified. As such, the model's main purpose is to serve as an example how a metaphysical model of consciousness can be specified in such a way that they can be tested in a scientifically rigorous way. (shrink)

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Despite its substantial influence, there is surprisingly little agreement about how to read C.I. Lewis’s Mind and the World Order. Lewis has historically been read as a reductionist attempting to g...

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1. Social media is an utterly transformative technology. In 1960, A. J. Liebling could truthfully quip, ‘Freedom of the press is guaranteed only to those who own one’ (1960, 105). In 2023, this is...

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Many jurisdictions prohibit or severely restrict the use of evidence about a defendant’s character to prove legal culpability. Situationists, who argue that conduct is largely determined by situational features rather than by character, can easily defend this prohibition. According to situationism, character evidence is misleading or paltry. -/- Proscriptions on character evidence seem harder to justify, however, on virtue ethical accounts. It appears that excluding character evidence either denies the centrality of character for explaining conduct—the situationist position—or omits probative evidence. (...) Situationism is, after all, presented as antithetical to virtue ethics. -/- This essay provides a virtue ethical defense of character evidence exclusion rules. We show that existing virtue ethical rebuttals to situationism themselves support prohibitions on character evidence; even if behavior arises from stable character traits, character evidence should be prohibited. In building our case, we provide a taxonomy of kinds of character judgment and reconcile the ubiquity and reasonableness of character judgments in ordinary life with the epistemic legitimacy of character evidence prohibitions in law. (shrink)

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In Mind and World, John McDowell provided an influential account of how perceptual experience makes knowledge of the world possible. He recommended a view he called “conceptualism”, according to which concepts are intimately involved in perception and there is no non‐conceptual content. In response to criticisms of this view (especially those from Charles Travis), McDowell has more recently proposed a revised account that distinguishes between two kinds of representation: the passive non‐propositional contents of perceptual experience – what he now calls (...) “intuitional content” – and the propositional contents of judgment – what he now calls “discursive content.” In this paper, I criticize McDowell's account of intuitional content. I argue that he equivocates between two different notions of intuitional content. These views propose different, and incompatible, ways of understanding how a perceiver makes a judgment based on perceptual experience. This is because these two views result from an underlying indeterminacy as to what, if anything, McDowell now means by “conceptual” when he makes claims that intuitional content is conceptual. (shrink)

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Representationalism holds that a perceptual experience's qualitative character is identical with certain of its representational properties. To date, most representationalists endorse atomistic theories of perceptual content, according to which an experience's content, and thus character, does not depend on its relations to other experiences. David Rosenthal, by contrast, proposes a view that is naturally construed as a version of representationalism on which experiences’ relations to one another determine their contents and characters. I offer here a new defense of this holistic (...) representationalism, arguing that some objections to atomistic views are best interpreted as supporting it. (shrink)

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James Ladyman has recently proposed a view according to which all that exists on the level of microphysics are structures "all the way down". By means of a comparative reading of structuralism in philosophy of mathematics as proposed by Stewart Shapiro, I shall present what I believe structures could not be. I shall argue that, if Ladyman is indeed proposing something as strong as suggested here, then he is committed to solving problems that proponents of structuralism in philosophy of mathematics (...) such as Shapiro are trying to solve. Attempting to do so, however, brings out a tacit tension in Ladyman's position. I shall argue that the upshot of this is that the ontological import that Ladyman attributes to structures is rather epistemological import properly understood. (shrink)

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The idea that perceptual and cognitive systems must incorporate knowledge about the structure of the environment has become a central dogma of cognitive theory. In a Bayesian context, this idea is often realized in terms of “tuning the prior”—widely assumed to mean adjusting prior probabilities so that they match the frequencies of events in the world. This kind of “ecological” tuning has often been held up as an ideal of inference, in fact defining an “ideal observer.” But widespread as this (...) viewpoint is, it directly contradicts Bayesian philosophy of probability, which views probabilities as degrees of belief rather than relative frequencies, and explicitly denies that they are objective characteristics of the world. Moreover, tuning the prior to observed environmental frequencies is subject to overfitting, meaning in this context overtuning to the environment, which leads (ironically) to poor performance in future encounters with the same environment. Whenever there is uncertainty about the environment—which there almost always is—an agent's prior should be biased away from ecological relative frequencies and toward simpler and more entropic priors. (shrink)

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Lightweight rowing – the most commonly used term for the weight category in rowing’s often bifurcated categorisation system – is under credible threat of being eliminated at virtually all levels of rowing in Canada and the U.S. The health concerns associated with weight loss reflect the most problematic aspects of lightweight rowing, where the acceptable limits of harm that one must tolerated in sport is brought into question. Also, such category protection seems arguably unnecessary, especially for lightweights who are nearly (...) as competitive as their openweight counterparts. This prompts reflection on the purpose and policies behind these categories. The justification for weight categories is scant or has simply been assumed as legitimate within the status quo. In the absence of any constructive debate on the topic, I will attempt to articulate the neglected rationale for why lightweight rowing ought to exist despite its apparent problems. In doing so, suggestions for further rules and policy improvements to lightweight rowing will be identified. (shrink)

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In dieser Abhandlung wird zunächst die Analogielehre des Thomas von Aquin dargestellt. Darauf folgt die Entfaltung zweier grundlegender sprachphilosophischer Probleme dieser Theorie. In einem dritten Schritt werden zwei mögliche Alternativen zur thomistischen Theorie vorgestellt. Gemäß der ersten könnte man wie William Alston oder Richard Swinburne für eine Form der Univozität zwischen der Bedeutung der Ausdrücke plädieren, die von Gott und den Menschen gemeinsam gebraucht werden. Die zweite, hier favorisierte Lösungsstrategie kann über eine metaontologische Unterscheidung zwischen fundamentalen und nicht-fundamentalen Wahrheiten konsistent (...) darlegen, wie man mit wörtlich verstandener Sprache wahre Aussagen über das Wesen Gottes machen kann, ohne dabei die Einfachheit Gottes preisgeben zu müssen. (shrink)

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This volume is a study of the relationship between philosophy and faith in Søren Kierkegaard's Philosophical Fragments. It is also the first book to examine the role of Socrates in this body of writings, illuminating the significance of Socrates for Kierkegaard's thought.Jacob Howland argues that in the Fragments, philosophy and faith are closely related passions. A careful examination of the role of Socrates demonstrates that Socratic, philosophical eros opens up a path to faith. At the same time, the (...) work of faith - which holds the self together with that which transcends it - is essentially erotic in the Socratic sense of the term. Chapters on Kierkegaard's Johannes Climacus and on Plato's Apology shed light on the Socratic character of the pseudonymous author of the Fragments and the role of 'the god' in Socrates' pursuit of wisdom. Howland also analyzes the Concluding Unscientific Postscript and Kierkegaard's reflections on Socrates and Christ. (shrink)

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I pursue here three related aims. First, I criticise some of the metaphysical claims made on behalf of the so-called `enactive' approach to visual experience. Secondly, I explain why the enactive view of visual experience is hard to square with the evidence in favour of the two-visual-systems model of human vision. Finally, I explore one possible way to develop the `pre-emptive perception' framework and explain why, contrary to first appearances, some of the fundamental discoveries of brain mechanisms, whose function might (...) be to underlie pre-emptive perception, do not really support the enactive approach to visual experience. (shrink)

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Tsui and Weymark (Economic Theory, 1997) have shown that the only continuous social welfare orderings on the whole Euclidean space which satisfy the weak Pareto principle and are invariant to individual-specific similarity transformations of utilities are strongly dictatorial. Their proof relies on functional equation arguments which are quite complex. This note provides a simpler proof of their theorem.

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A central issue in debates about Kant and nonconceptualism concerns the nature of intuition. There is sharp disagreement among Kant scholars about both whether, prior to conceptualization, mere intuition can be considered conscious and, if so, how determinate this consciousness is. In this article, I argue that Kant regards pre-synthesized intuition as conscious but indeterminate. To make this case, I contextualize Kant's position through the work of H.S. Reimarus, a predecessor of Kant who influenced his views on animals, infants, and (...) the role of attention. I use Reimarus to clarify Kant's otherwise ambiguous commitments on the determinacy of intuition in animals and newborns, and the role attention, concepts, and judgment play in making intuited contents determinate. This contextualization helps to shed light on Kant's discussion of pre-synthesized intuition in the threefold synthesis of the A-Deduction by demonstrating that Kant's theory of mind in the deduction offers transcendental grounding for empirical accounts of infant development like Kant and Reimarus's. The upshot is a Kant at odds with many recent interpretations of his theory of mind: pre-synthesized intuition is conscious but indeterminate. (shrink)

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