Theoreticians that defend a form of realism regarding natural kinds minimally entertain the belief that the world features divisions into kinds and that the natural kind concept is a useful tool for philosophy of science. The objective of this paper is to challenge these assumptions. First, we challenge realism toward natural kinds by showing that the main arguments for their existence, which rely on the epistemic success of natural kinds, are unsatisfactory. Second, we show that, whether they exist or not, (...) natural kinds are expendable when it comes to describing and analyzing scientific explanations accurately. (shrink)

What is the relationship between Immodesty and Permissivism? For permissivists, epistemically rational agents are sometimes permitted to take incompatible doxastic attitudes towards P. Immodesty is a requirement governing our estimations or beliefs about our own credences and standards. If agents believe that their standards and credences are not among the most truth-conducive ones available to them, they are not immodest. Some philosophers think that Immodesty is incompatible with Intrapersonal Permissivism :41–56, 2014, J Philos 116:237–262, 2019). Others think that Immodesty can (...) be used to respond to some objections against Interpersonal Permissivism :193–218). In this paper, we argue that Immodesty neither supports nor disproves Permissivism. (shrink)

[This is an edited version of a keynote talk at the conference on Neural Information Processing Systems (NeurIPS) on November 28, 2022, with some minor additions and subtractions.] -/- There has recently been widespread discussion of whether large language models might be sentient or conscious. Should we take this idea seriously? I will break down the strongest reasons for and against. Given mainstream assumptions in the science of consciousness, there are significant obstacles to consciousness in current models: for example, their (...) lack of recurrent processing, a global workspace, and unified agency. At the same time, it is quite possible that these obstacles will be overcome in the next decade or so. I conclude that while it is somewhat unlikely that current large language models are conscious, we should take seriously the possibility that successors to large language models may be conscious in the not-too-distant future. (shrink)

Does consciousness collapse the quantum wave function? This idea was taken seriously by John von Neumann and Eugene Wigner but is now widely dismissed. We develop the idea by combining a mathematical theory of consciousness (integrated information theory) with an account of quantum collapse dynamics (continuous spontaneous localization). Simple versions of the theory are falsified by the quantum Zeno effect, but more complex versions remain compatible with empirical evidence. In principle, versions of the theory can be tested by experiments with (...) quantum computers. The upshot is not that consciousness-collapse interpretations are clearly correct, but that there is a research program here worth exploring. (shrink)

We lead off this issue of Childhood and Philosophy with a collection of testimonies, homages, and brief memoirs offered from around the world in response to the death of the founder of Philosophy for Children, Matthew Lipman on December 26, 2010, at the age of 87. To characterize Lipman as “founder” is completely accurate, but barely evokes the role he played in conceiving, giving birth to, and nurturing this curriculum cum pedagogy that became a movement, and which has taken root (...) in over 40 countries, from Iceland to Nigeria to Taiwan to Chile and everywhere in between. The movement itself is broader than the program, which has in fact experienced multiple transformations in multiple contexts over its half-century of life. In fact, as many of the testimonies below either state outright or imply, the movement is an emancipatory one and thus implicitly political, infused with all the long-suffering hope for our species inspired in us by the fact of natality, and by our own intuitive faith in the transformative power of reason—or as Lipman came to call it, “reasonableness.” For those seized by its educational possibilities, it presents a sudden influx of sunlight and fresh air into an institution long stultified by its own rigid habitus, and promises the reconstruction of schooling in the image of authentic democratic practice that recognizes and honors the unique capacities of children. As Philosophy in the Classroom—Lipman’s first and now classic statement of educational philosophy--puts it, the movement promises a re-orientation of the goal of education from information (or “learning”) to meaning, and inaugurates the dialogue with childhood and children that follows from that. Lipman was not just founder of this movement but creator, inventor, developer, convener, organizer, faithful soldier, ambassador, apologist, polemicist, propagandist, and, finally, undying optimist. (shrink)

In the popular press and the halls of politics, controversies over evolution are increasingly strident these days. Hegel is relevant in this connection, even though he rejected the theories of evolution he knew about, because he wanted rational understanding but without claims to intelligent design. He is reported to have said that nature has no history, but a closer examination will show that his ideaqs are more nuanced and that there is more room for darwinian ideas than one might expect, (...) though not enough to allow the full Darwinian contingency of form. (shrink)

Two prominent normative theories of business ethics are stakeholder and shareholder theory. Business ethicists generally favor the former, while business people prefer the latter. If the purpose of business ethics is “to produce a set of ethical principles that can be both expressed in language accessible to and conveniently applied by an ordinary business person” , then it is important to examine this dichotomy.While superficially attractive, the normative version of stakeholder theory contains numerous limitations. Since balancing multiple stakeholder preferences is (...) difficult, competing claims often become tests of political strength rather than justice. Furthermore, stakeholder theory has significant normative weaknesses.Although less attractive to academic ethicists, shareholder theory may provide superior results for society. The shareholder model focuses companies on meeting society’s material needs. Wise owners often balance other stakeholders’ views well since it is necessary for the business’s long-term success. Finally, shareholder theory has a strong normative basis in autonomy.In light of this analysis, it is incumbent upon academic business ethicists to emphasize the value of shareholder theory when teaching business ethics courses. (shrink)

A discussion of the logical role of particular concepts in Robert Pippin's reading Hegel as a theorist of modernity, with special reference to the question whether modernity can be surpassed or left behind.

Defining actions in contradistinction to mere happenings runs into the problem of specifying the role of the agent and separating what the agent does from what they exploit or suffer. Traditionally these problems have been approached by starting with a simple act, such as an incidental movement, and considering causality, or by seeking to elucidate the connection between the act and the agent's intentions or reasons. It is suggested here that a promising approach is to shift attention from 'simple' movements (...) and start instead by exploring the general character of acquired skills. Balancing the body is one such skill and serves here as an exemplar. Some remarks made by Reid on balance are used in a Peircean framework for perception to suggest that, at least for humans, an action is always the performance of an acquired skill. Also, while action is constitutive of perception, bodily perception is the basis of action, providing in a feeling of ownership direct knowledge of an asymmetric opposition between the agent and the world. (shrink)

I defend the view, hardly original with me, that there is no evidence, deductive or non-deductive, for any of our causal beliefs, that does not already assume that there are some causal connections, and hence that there is no way in which experience on its own, or with causalität-free principles, can support the structure of out causal knowledge. The deductive case is perhaps obvious. In the case of non-deductive arguments, I consider how experience of constant conjunctions, together with the employment (...) of an inference to the best explanation, might lead to a causal conclusion. But I argue that such an inference would need as a premiss that the causal explanation of the constant conjunction is the best explanation of that evidence, and ‘best’ in this context requires the thought that the causal hypothesis best fits with our existing causal beliefs. (shrink)

There are two versions of the language-of-thought hypothesis (LOT): Representational LOT (roughly, structured representation), introduced by Ockham, and computational LOT (roughly, symbolic computation) introduced by Fodor. Like many others, I oppose the latter but not the former. Quilty-Dunn et al. defend representational LOT, but they do not defend the strong computational LOT thesis central to the classical-connectionist debate.

I argue that recent rationalists' accounts of a priori knowledge suffer from two substantial weaknesses: an inadequate phenomenology of a priori insight , and the error of psychologism. I show that Husserl's theory of a priori knowledge presents a defensible and viable alternative for the contemporary rationalist, an alternative that addresses both the ontology and phenomenology of rational intuition, as well as such contemporary concerns as the possibility and character of a priori error, the empirical defeasibility of a priori claims, (...) the relation of mind to necessity, and the role of conception and imagination in a priori knowledge. Consequently, I conclude that Husserl's theory provides the needed response to the 20 th century critique of rationalism, and its attendant a priorism, as mysterious and obscure. (shrink)

Conceptual engineering is the design, implementation, and evaluation of concepts. Conceptual engineering includes or should include de novo conceptual engineering (designing a new concept) as well as conceptual re-engineering (fixing an old concept). It should also include heteronymous (different-word) as well as homonymous (same-word) conceptual engineering. I discuss the importance and the difficulty of these sorts of conceptual engineering in philosophy and elsewhere.

Cartesian arguments for global skepticism about the external world start from the premise that we cannot know that we are not in a Cartesian scenario such as an evil-demon scenario, and infer that because most of our empirical beliefs are false in such a scenario, these beliefs do not constitute knowledge. Veridicalist responses to global skepticism respond that arguments fail because in Cartesian scenarios, many or most of our empirical beliefs are true. Some veridicalist responses have been motivated using verificationism, (...) externalism, and coherentism. I argue that a more powerful veridicalist response to global skepticism can be motivated by structuralism, on which physical entities are understood as those that play a certain structural role. I develop the structuralist response and address objections. (shrink)

Does the capacity to think require the capacity to sense? A lively debate on this topic runs throughout the history of philosophy and now animates discussions of artificial intelligence. Many have argued that AI systems such as large language models cannot think and understand if they lack sensory grounding. I argue that thought does not require sensory grounding: there can be pure thinkers who can think without any sensory capacities. As a result, the absence of sensory grounding does not entail (...) that large language models cannot think or understand. I also consider to what extent quasi-sensory grounding can at least boost the performance of a language model. (shrink)

Many philosophers have been attracted to a restricted version of the principle of indifference in the case of self‐locating belief. Roughly speaking, this principle states that, within any given possible world, one should be indifferent between different hypotheses concerning who one is within that possible world, so long as those hypotheses are compatible with one's evidence. My first goal is to defend a more precise version of this principle. After responding to several existing criticisms of such a principle, I argue (...) that existing formulations of the principle are crucially ambiguous, and I go on to defend a particular disambiguation of the principle. According to the disambiguation I defend, how we should apply this restricted principle of indifference sensitively depends on our background metaphysical beliefs. My second goal is to apply this disambiguated principle to classical skeptical problems in epistemology. In particular, I argue that Eternalism threatens to lead us to external world skepticism, and Modal Realism threatens to lead us to inductive skepticism. (shrink)

How should we account for the extraordinary regularity in the world? Humeans and Non-Humeans sharply disagree. According to Non-Humeans, the world behaves in an extraordinarily regular way because of certain necessary connections in nature. However, Humeans have thought that Non-Humean views are metaphysically objectionable. In particular, there are two general metaphysical principles that Humeans have found attractive that are incompatible with all existing versions of Non-Humeanism. My goal in this paper is to develop a novel version of Non-Humeanism that is (...) consistent with (and even entails) both of these general metaphysical principles. By endorsing such a view, one can have the explanatory benefits of Non-Humeanism while at the same time avoiding two of the major metaphysical objections towards Non-Humeanism. (shrink)

"I would like to address the nature of transgression and its logic or itinerary in Sade's work. If this task is somewhat speculative and incomplete, it perhaps mirrors the foundational incompleteness of the more than sixteen extant volumes of Sade's writings. For a more exhaustive, if not definitive, resolution of the very issue of transgression, the analysis would have to continue the debate between Derrida and Foucault over the validity of Bataille's celebrated account of transgression, which in turn draws upon (...) the earlier work of Roger Caillois." (opening paragraph of the article). (shrink)

According to orthodoxy, our best physical theories strongly support Eternalism over Presentism. Our goal is to argue against this consensus, by arguing that a certain overlooked aspect of our best physical theories strongly supports Presentism over Eternalism.

Most of our best scientific descriptions of the world employ rates of change of some continuous quantity with respect to some other continuous quantity. For instance, in classical physics we arrive at a particle’s velocity by taking the time-derivative of its position, and we arrive at a particle’s acceleration by taking the time-derivative of its velocity. Because rates of change are defined in terms of other continuous quantities, most think that facts about some rate of change obtain in virtue of (...) facts about those other continuous quantities. For example, on this view facts about a particle’s velocity at a time obtain in virtue of facts about how that particle’s position is changing at that time. In this paper we raise a puzzle for this orthodox reductionist account of rate of change quantities and evaluate some possible replies. We don’t decisively come down in favour of one reply over the others, though we say some things to support taking our puzzle to cast doubt on the standard view that spacetime is continuous. (shrink)

This dissertation is a critical examination of Kant's use of the notion of "moral progress" throughout all of his writings. The dissertation is divided into two sections. The first looks at Kant's analysis of history and teleology. I argue, against many commentators, that Kant is already aware of the limitations of the concept of teleology with the writing of the first Critique, and thus his important notion of moral progress does not go beyond the bounds set by the first Critique, (...) nor is it merely a misconstrued notion of teleology which is eliminated with the third Critique. ;In the first section I make three main points. First, I argue that Kant gives us two locations for the highest good: in an afterlife and on earth. I argue that we ought to take this division and its implications seriously. Second, I argue that Kant uses the notion of moral progress as a postulate of pure practical reason, necessary for the defense of a highest good on earth. Third, I show that there is a strong connection between moral progress and politics, arguing that political institutions are a necessary but not sufficient condition for moral progress. ;The second section is constructive, attempting to show exactly how this notion of moral progress operates in Kant's philosophy. In the first half, I present an intensive analysis of Kant's concept of the highest good, several problems with its conceivability, and its link between morality and politics. Next, I outline what I take to be the five steps involved in moral progress. In the last chapters I argue that the notion of moral progress is indeed a necessary postulate of practical reason given the rest of Kant's philosophical system. I conclude by showing how my interpretation strengthens Kant's position and gives new insight to his understanding of political theory. (shrink)

A familiar interpretation of quantum mechanics (one of a number of views sometimes labeled the "Copenhagen interpretation'"), takes its empirical apparatus at face value, holding that the quantum wave function evolves by the Schrödinger equation except on certain occasions of measurement, when it collapses into a new state according to the Born rule. This interpretation is widely rejected, primarily because it faces the measurement problem: "measurement" is too imprecise for use in a fundamental physical theory. We argue that this is (...) a weak objection, as there may be many ways of making "measurement" precise. However, measurement-collapse interpretations face a more serious objection: a dilemma tied to the quantum Zeno effect. Is measurement itself an observable that can enter superpositions? If yes, then the standard measurement-collapse dynamics is ill-defined. If no, then (at least if measurement is an observable), measurements can never start or finish. The best way out is to deny that measurement is an observable, but this leads to strong and revisionary consequences. This reinforces the view that there is no nonrevisionary interpretation of quantum mechanics. (shrink)

Our evidence can be about different subject matters. In fact, necessarily equivalent pieces of evidence can be about different subject matters. Does the hyperintensionality of ‘aboutness’ engender any hyperintensionality at the level of rational credence? In this paper, I present a case which seems to suggest that the answer is ‘yes’. In particular, I argue that our intuitive notions of independent evidence and inadmissible evidence are sensitive to aboutness in a hyperintensional way. We are thus left with a paradox. While (...) there is strong reason to think that rational credence cannot make such hyperintensional distinctions, our intuitive judgements about certain cases seem to demand that it does. (shrink)

The theory of possible worlds has permeated analytic philosophy in recent decades, and its best versions have a consequence which has gone largely unnoticed: in addition to the panoply of possible worlds, there are a great many impossible worlds. A uniform ontological method alone should bring the friends of possible worlds to adopt impossible worlds, I argue, but the theory's applications also provide strong incentives. In particular, the theory facilitates an account of counterfactuals which avoids several of the implausible results (...) of David Lewis's account, and it paves the way for the analogues of Kripkean semantics for epistemic and relevant logics. On the theories of possible worlds as abstract objects, worlds bear a strong resemblance to propositions. I contend that if there are distinct necessarily false propositions, then there are likewise distinct impossible worlds. However, one who regards possible worlds as concrete objects must not recognize impossible worlds, in part because concrete worlds cannot misrepresent certain features of reality, as some impossible worlds must. Accordingly, I defend and develop a theory of impossible worlds as maximal impossible states of affairs. Impossible worlds perform admirably in the analysis of counterfactuals with impossible antecedents. I argue that, contrary to standard accounts, not all counterpossibles are trivially true, and I develop a Lewis-style semantics which allows this result. The point is crucial, since many views presuppose that some counterpossibles are substantive philosophical truths. Finally, I show that impossible worlds hold great promise for doxastic and relevant logics. Epistemic logic needs a domain of propositions which is not closed under strict implication to avoid the problem of logical omniscience, and relevant logic needs such a domain to avoid the famous paradoxes of implication. In sum, impossible world theory promises natural, elegant solutions to philosophical problems in numerous areas where possible worlds alone flounder. These solutions come to most possible world theorists at no cost, since the existence of impossible worlds is entailed by theses they already hold. (shrink)

This paper will present two contributions to teaching introductory logic. The first contribution is an alternative tree proof method that differs from the traditional one-sided tree method. The second contribution combines this tree system with an index system to produce a user-friendly tree method for sentential modal logic.

Robbie Williams’ (2020) book The Metaphysics of Representation is the new leading edge of the program of naturalizing intentionality. Williams brings sophistica.

Doxastic wronging is wronging that occurs in virtue of a belief. What epistemic significance, if any, does doxastic wronging have for the normativity of inquiry? Recently, some philosophers have defended views according to which doxastic wronging has an epistemic impact on the norms governing belief formation and revision. In this paper, I sketch a theory of the zetetic significance of doxastic wronging that denies its epistemic significance. In other words, although doxastic wronging is relevant to the normativity of inquiry, it (...) is irrelevant to the normativity of belief formation and revision. To defend this thesis, I sketch a framework for thinking about zetetic structure and I combine this framework with an independently attractive picture of epistemic normativity according to which answers to questions are to be settled in whatever way is best supported by the evidence. (shrink)

During the 2010s, a radical transformation took place in the Spanish philosophical landscape: most philosophy journals started releasing their papers for free under a creative commons licence. Thanks to open access publication, Spanish philosophy has a bigger audience today than never before. Drawing on the authors’ experience as editors of two of these journals, Theoria and Recerca, this paper discusses what made this transformation possible, its consequences for the assessment of the Spanish philosophical output and, finally, how to strengthen Spanish (...) philosophy journals to confront the forthcoming challenges in open access publishing. (shrink)

Since 1968, the irreversible loss of functioning of the whole brain, called brain death, is assimilated to individual’s death. The almost universal acceptance of this neurological criterion of death had decisive consequences for the contemporary medicine, such as the withdrawal of mechanical ventilation in these patients and organ retrieval for transplantation. The new criterion was successfully accepted in part because the assimilation of brain death state to death was presented by medicine --and acritically assumed by most of societies-- as a (...) scientific and objective fact. Nevertheless, many people do not think that the patients suffering brain death are actually dead. We show here that those people are not necessarily wrong. It can be argued that, in fact, the justification of the neurological criterion is not scientific but moral. We outline the thesis that the problem surrounding the vital status of brain dead patients is due to a confusion between factual and normative questions. Furthermore, we claim that the donation of organs and the withdrawal of life-support could be ethically acceptable even if the patients suffering brain death are considered as alive. As an alternative to the dead donor rule, we propose a justification for organ donation of brain-dead patients based on the (moral) concepts of harm and consent : what truly justifies the procurement of organs on those patients is not that they are dead, but that they wish to donate their organs and that, since they have irreversibly lost their brain, they cannot be harmed. (shrink)

The project takes as its starting point our conflicting intuitions about personal identity exposed by Bernard Williams' thought experiment involving the switching of bodies in "The Self and the Future." The conflicted intuitions are identified as animalist and psychologist and correspond roughly with the two major approaches to personal identity. The traditional strategy to resolve the conflict---thought experiments---is critically examined and the project concludes that proper thought experiments will reveal the conflict but are unlikely to resolve it. A new reading (...) of the conflict is proposed. The concept of the person is a cluster concept with distinct components: biological human beings, rational agency and psychological continuity, where the latter is construed as the temporal analog of phenomenological unity at a time. The project then suggests that moral theory is best pursued not by a naturalist conception of persons that unites the components of the cluster, but by a novel conception that separates them. This can be accomplished best by eliminating the concept of the person altogether. Objections that the concept of the person is ineliminable are considered and rejected, as are objections that the nature of conflict is not reason enough to abandon the concept. Personhood's centrality for value theory is questioned and the eliminativist strategy is defended on the grounds that responsibility, self-concern and moral rights are best analyzed with the component concepts instead of the cluster concept. Eliminativism is therefore preferable to competing accounts of personal identity because the former is better suited for moral theory. Among the advantages are the ability to: attribute responsibility to group agents without calling them persons, make sense of our conflicting demonstrations of self-concern without taking them as evidence for conflicting theories of personal identity, and attribute moral rights to entities who fail to meet traditional criteria for personhood but who are nonetheless entitled to moral respect. (shrink)

Time is one of humankind’s unanswerable mysteries. Aristotle called time “the most unknown of unknown things.” What time is and even if it objectively exists are unanswerable questions. Time is intangible. -/- There have been and will be countless theories about time. Many, including in science, are simply useful definitions or conventions, and each is looking at time in a particular way and for a particular purpose. This paper looks at a variety of significant perspectives from physics, philosophy and psychology. (...) A key is to demonstrate that there are many different incomplete and subjective ways of looking at what ultimately is beyond our mental grasp. (shrink)

Causal contextualism holds that sentences of the form ‘c causes e’ have context-sensitive truth-conditions. We consider four arguments invoked by Jonathan Schaffer in favor of this view. First, he argues that his brand of contextualism helps solve puzzles about transitivity. Second, he contends that how one describes the relata of the causal relation sometimes affects the truth of one’s claim. Third, Schaffer invokes the phenomenon of contrastive focus to conclude that causal statements implicitly designate salient alternatives to the cause and (...) effect. Fourth, he claims that the appropriateness of a causal statement depends on what is contextually taken for granted or made salient. We show that causal invariantism can explain these linguistic data at least as well as contextualism. We then argue that pace Schaffer, some causal sentences are always correct and can never be plausibly denied, regardless of the context. (shrink)

This essay has two parts, each that was published earlier in different forms. The first, titled “How Critical Race Theory Can Be Antisemitic,” discusses how the current UUA’s dogmatic application of critical race theory as the only lens to view society is antisemitic. The second, titled “How Intolerance, Censorship, and Dogmatism Make Unitarian Universalism Increasingly Unwelcoming to Jews,” explains how Judaism and Jewish culture are about questioning, diversity of views, dissent, and debate—all things traditionally associated with UU—and how any space (...) that is dogmatic and illiberal will be unwelcoming to most Jews. (shrink)

This text examines recent illiberal trends in traditionally liberal institutions. Specifically, it critiques radical “anti-racism” approaches based on critical race theory (CRT) and the ideas of academics such as Ibram X. Kendi and Robin DiAngelo. It also focuses on Unitarian Universalism, a historically liberal church whose national leadership has adopted an extreme version of critical race theory. -/- Racial and other inequities are problems in all societies and all of human history, and there are no simple, easy or objectively correct (...) solutions. While critical race theory (CRT) offers important insights on racism and racial disparities, I believe in liberalism, freedom of speech and the free exchange of ideas, things that extreme CRT adherents, Kendi and DiAngelo oppose. -/- Freedom of speech and expression and the free exchange of ideas support diversity, multiculturalism and marginalized groups. Illiberalism, dogmatism and authoritarianism are oppressive of all groups, minority and majority, and should be rejected wherever they appear. (shrink)

From religion to philosophy to science, all human systems of definition are formed by human brains. The nature and limits of the human brain are the nature and limits of those systems. This essay shows how the human brain works normally then unusually, and what this reveals about the limits of human knowledge. There are many conditions and instances where the brain processes information unusually, including mental disorders, physical events, and drug use. This essay focuses on the neurological events called (...) mystical experiences. (shrink)

Art is a form of religion. It uses symbols and stories to create a sublime, emotional experience. This demonstrates that religion, or at least spirituality, is experienced by the secular, including atheists. And, of course, art is used by all religions.

● Much more relevant than the simplicity or complexity of a method of measuring the houses is whether such a division remains true to the physics of the sky (i.e. whether it makes any sense at all). ● Because astrology has no central institution to decide what is valid and what is not, we believe that the least astrologists should do is to respect the truths confirmed by science. Physics teaches that we cannot separate time from space or space from (...) time, for they stand in an unbreakable or indissoluble relationship which we call continuum , a plane made up of four dimensions (i.e. the three of space plus the one of time) regarded as spacetime, and that time is not absolute but relative (dependent on frames of reference). ● Astrology — which is not horoscopism but one of the consequences of physics — appeals to different methods of measuring segments of our horizon known as houses, sectors, or regions and has classified them into space-based measurements and time-based measurements (according to which of the two concepts decides the subdivision of the diurnal arc) , but said classification is impertinent according to the reality that governs us. ● One that can be confirmed to be compatible with our reality is to be employed at all times for all types of charts, that is to say, one that is truly or essentially spacetime-based without, at the same time, presenting any of the errors characteristic of other house systems . We will see that only one will be compatible with relativity, for while the others would have us believe that time is absolute, the Placidus method of house measurement will show us that it is relative. ● The difference lies in the ability of a method to recognise the different ascensional times of not only the twelve segments of our ecliptic at different latitudes but also of each degree of said circumference simultaneously and uninterruptedly, that is, temporally simultaneously and spatially uninterruptedly during their trajectories from the horizon (ASC) to the midheaven (MC). We concluded, based on the house cusp analysis, that only the Placidean formula can carry out this promise, that is, make it possible to measure the lengths of time under said conditions. ● While the Alcabitius and Koch measurements of time assign fictional speeds — i.e. times of oblique ascension — to all degrees contained between the horizon (ASC) and the midheaven (MC), Placidus takes care to measure the speeds or true times for all. The measurement most Newtonian of all the methods of house division, Regiomontanus, in turn, clings to space at the expense of time, the reason for which it cannot reflect the true positions of the planets in spacetime (ignores the relationship between space and time). ● During the demonstrational process, we take the opportunity of pointing out that velocity (special relativity) and gravity (general relativity) do not constitute the only — two — primary forms of time dilation. The tilt of a reference frame relative to another (that of Earth relative to the plane of our ecliptic, although velocity remains a variable, whereas gravity, in turn, a possibility we will explore in the appendices) constitutes the third form. ● We encourage any physicist and/or astronomer to corroborate our observations with their own tools. For our part, we have employed the astrological/astronomical software Solar Fire Gold, although the astrographs come from the astrological/astronomical software Janus. (shrink)