Space and Time

In Du Châtelet’s magnum opus, Foundations of Physics (Du Châtelet, É. (1740). Institutions de Physique. Paris. Translated by Brading et al. (2018). http:// kbrading. org/translations and 1742), she dedicates an entire chapter to theorizing how we come to form our spatial ideas. The first idea she investigates is the idea of extension, exploring how we first arrive at it. According to her, this idea necessarily arises when we “represent to ourselves several different things as being one” through the imagination (§77). (...) Furthermore, to represent things as “several,” “in our minds we place one external to the other” (§77). But what does it mean to place one object as external to another in our minds? Recent scholarship has seen the emergence of two competing interpretations of “external”: the spatial reading and the ontological reading. This chapter engages critically with the ontological reading and provides reasons for favoring the spatial one. (shrink)

This paper proposes a falsifiable, systems-level model of Earth–Moon phase coupling during the Eocene–Oligocene boundary (~33–29 MYA), reframing lunar volcanism and terrestrial extinction not as separate events, but as manifestations of structured resonance. Using the CODES (Chirality of Dynamic Emergent Systems) framework, we introduce the concept of Coherent Phase Resonance (CPR)—periodic intervals during which planetary systems enter phase-locked states, generating synchronized geophysical and biospheric reorganizations. We outline a four-domain coherence scoring protocol and propose an experiment using DIMPLE lunar samples and (...) terrestrial stratigraphic archives. This work offers both a novel scientific hypothesis and a philosophical challenge to reductionist models of causation in planetary science. (shrink)

The emergence of General Relativity examined via a Dynamic Spin Metric, DSM, predicts that OUR 1-sphere Universe exists as de-Sitter space on the Manifold of the Super-singularity presenting as a Space-time singularity with an effective relativistic radius of Gyration...

Note: I keep a Stromatolite on my desk, focus on structured emergence in biological systems and wanted to discover its secrets! -/- The Eternal Pulse of Life: Integrating Energy, Metabolism, Information, and Structured Resonance -/- -/- Abstract -/- -/- The origin of life has long been framed as a singular event—a sudden transition from non-life to life. Traditional models attempt to pinpoint this moment through genetic-first (RNA World) or metabolism-first (Prebiotic Chemistry) approaches, but both rely on a stepwise sequence of (...) unlikely breakthroughs. This paper reframes the question entirely: life was never an event, but an inevitable phase transition of structured resonance. -/- -/- Life emerges when energy, matter, and information self-lock into a stable oscillation. It is not a series of lucky chemical reactions but a predictable, self-organizing resonance shift that follows the same principles governing phase transitions in physics. This model integrates: -/- • Nick Lane’s work on bioenergetics and proton motive force, showing that life stabilizes as an energy-driven resonance cycle. -/- • Wave-based resonance dynamics in molecular self-assembly, explaining why biochemistry aligns with structured phase-locking rather than stochastic optimization. -/- • The transition from abiotic autocatalysis to encoded information, demonstrating that molecular replication is a resonance function, not a chance event. -/- • The Great Oxidation Event as a metabolic resonance shift, illustrating that planetary-scale biochemical transitions are structured, not accidental. -/- -/- Life did not “begin.” It emerged as a phase-coherent oscillation between energy gradients, molecular condensation, and self-stabilizing resonance states. This framework unites metabolism, replication, and information processing under a single principle: life is structured resonance. -/- . (shrink)

The philosophy of superdeterminism is based on a single scientific fact about the universe, namely that cause and effect in physics are not real. In 2020, accomplished Swedish theoretical physicist, Dr. Johan Hansson published a physics proof using Albert Einstein’s Theory of Special Relativity that our universe is superdeterministic meaning a predetermined static block universe without cause and effect in physics. The philosophy of superdeterminism rejects the main philosophical teachings of Ludwig Feuerbach, who argued that belief in a fictitious God (...) only distracts humanity from its potential to make the world a better place. Feuerbach was incorrect in his assertion that material reality does not support the existence of an immaterial God, because experimentally verified scientific data supporting Einstein’s Theory of Special Relativity and the correlations observed in the spin measurement results of entangled particles provided circumstantial scientific evidence of the existence of God, who created our superdeterministic universe outside of spacetime. Moreover, God must have predetermined Christianity to be the predominant world religion allowing the reasonable inference of the truth of the Christian claim about the nature of God and the afterlife. Because God saw fit to predetermine Christianity as His world religion, it seems very unlikely that God would have predetermined the future of humanity to forget Christianity and opt-in for the atheism Feuerbach suggested. (shrink)

The philosophy of superdeterminism is based on a single scientific fact about the universe, namely that cause and effect in physics are not real. In 2020, accomplished Swedish theoretical physicist, Dr. Johan Hansson published a physics proof using Albert Einstein’s Theory of Special Relativity that our universe is superdeterministic meaning a predetermined static block universe without cause and effect in physics. There are various grounds for objecting to Dr. Hansson’s version of superdeterminism, but none hold any water. The most common (...) objections are easily dismissed on the basis of the objector’s ignorance that Dr. Hansson’s version of superdeterminism is unique and not subject to the same objections faced by the version of superdeterminism originally put forth by Dr. John Bell. Other objections based on the Copenhagen interpretation of quantum mechanics can be dismissed, because Dr. Hansson’s version of superdeterminism disproves the Copenhagen interpretation and there is no direct evidence that the Copenhagen interpretation is true. Finally, a wide range of remaining objections can be dismissed for various specific reasons. (shrink)

Suppose your evil sibling travels back in time, intending to lethally poison your grandfather during his infancy. Determined to save grandpa, you grab two antidotes and follow your sibling through the wormhole. Under normal circumstances, each antidote has a 50% chance of curing a poisoning. Upon finding young grandpa, poisoned, you administer the first antidote. Alas, it has no effect. The second antidote is your last hope. You administer it---and success: the paleness vanishes from grandpa's face, he is healed. As (...) you administered the first antidote, what was the chance that it would be effective? -/- This essay offers a systematic account of this case, and others like it. The central question is this: Given a certain time travel structure, what are the chances? In particular, I'll develop a theory about the connection between these chances and the chances in ordinary, time-travel-free contexts. Central to the account is a Markov condition involving the boundaries of spacetime regions. (shrink)

Time, perhaps humanity's most intimate yet enigmatic companion, reveals itself not as an absolute ruler but as a subtle dancer, moving differently for each observer. This paper weaves together insights from modern physics, neuroscience, and philosophy to explore how our understanding of time has evolved from Newton's rigid clockwork to Einstein's fluid spacetime, and beyond to the quantum realm where time itself becomes uncertain. Through examination of experimental evidence and philosophical inquiry, we discover that time's non-absolute nature extends from the (...) smallest quantum fluctuations to the very fabric of human consciousness and experience. (shrink)

Keine ausführliche Beschreibung für "Dasein und Raum" verfügbar.

We review Gordon Belot’s ‘Accelerating Expansion: Philosophy and Physics with a Positive Cosmological Constant’ (OUP, 2023).

This paper is about the epistemology of quantum theory. We establish a new result about a limitation to knowledge of its central object---the quantum state of the universe. We show that, if the universal quantum state can be assumed to be a typical unit vector from a high-dimensional subspace of Hilbert space (such as the subspace defined by a low-entropy macro-state as prescribed by the Past Hypothesis), then no observation can determine (or even just narrow down significantly) which vector it (...) is. Typical state vectors, in other words, are observationally indistinguishable from each other. Our argument is based on a typicality theorem from quantum statistical mechanics. We also discuss how theoretical considerations that go beyond the empirical evidence might bear on this fact and on our knowledge of the universal quantum state. (shrink)

This richly illustrated book explores the drive to shape life as a spatial project--from Plato to the isolation of digital space--and is aimed at recovering the feeling of space as a sensory realm.

● Mucho más relevante que la complejidad o simplicidad de un método de medir las casas es si dicha división se mantiene fiel a la física del cielo (i.e. si tiene sentido alguno). ● Dado que la astrología no goza de una institución central que decida qué es válido y qué no, consideramos que lo mínimo que pueden hacer los astrólogos es respetar las verdades confirmadas por la ciencia. La física enseña que no podemos separar el tiempo del espacio o (...) el espacio del tiempo, pues sostienen una relación ininterrumpida o indisoluble que llamamos continuo , un plano constituido de cuatro dimensiones (i.e. las tres del espacio aunadas a la única del tiempo) denominado espaciotiempo, y que el tiempo no es absoluto sino relativo (dependiente de los marcos de referencia). ● La astrología (que no es horoscopismo sino una de las consecuencias de la física) apela a diferentes métodos de medir las regiones astrográficas (i.e. casas) y los ha clasificado entre métodos espaciales y métodos temporales (según cuál de los dos conceptos decide la subdivisión del arco diurno) , pero esta clasificación resulta impertinente ante la realidad que nos gobierna. Uno que puede ser confirmado compatible con nuestra realidad debe ser empleado en todo momento para todo tipo de astrografía, es decir, uno verdadera o esencialmente basado en el espaciotiempo sin presentar, a la misma vez, ninguno de los errores característicos de otros sistemas de casas . Veremos que solo uno de ellos es compatible con la relatividad, pues mientras los demás nos harían hacer creer que el tiempo es absoluto, el método Placidus de medición de las casas nos enseña que es relativo. ● La diferencia estriba en la capacidad de un método para reconocer los tiempos ascensionales de no solo los doce segmentos de nuestra eclíptica en distintas latitudes, sino también de cada grado de dicha circunferencia simultánea e ininterrumpidamente, es decir, temporalmente simultánea y espacialmente ininterrumpida durante sus trayectorias desde el horizonte (ASC) hasta el medio cielo (MC). Hemos concluido, con base en el análisis de las cúspides de casas, que solamente la fórmula placidiana puede cumplir la promesa antes referida, es decir, hacer posible medir las duraciones del tiempo bajo tales condiciones. ● Mientras las mediciones del tiempo Alcabitius y Koch asignan velocidades (i.e. tiempos de ascensión oblicua) ficticias a todos los grados contenidos entre el horizonte (ASC) y el medio cielo (MC), Placidus se ocupa de medir las velocidades o los tiempos verdaderos de todos. La medida más newtoniana de todos los métodos de división de casas, Regiomontanus, a su turno, se aferra al espacio a expensas del tiempo, razón por la cual no puede reflejar las verdaderas posiciones de los planetas en el espaciotiempo (ignora la relación del espacio con el tiempo). ● Durante el proceso demostrativo, aprovechamos la ocasión para señalar que la velocidad (relatividad especial) y la gravedad (relatividad general) no constituyen las únicas (dos) expresiones principales de la dilatación del tiempo. La inclinación o basculación de los marcos de referencia (i.e. la inclinación del eje de la Tierra con relación al plano de la eclíptica, si bien la velocidad sigue siendo una variable, mientras la gravedad, a su vez, una posibilidad que exploraremos en los apéndices) constituye una tercera expresión. ● Animamos a todo físico y/o astrónomo a corroborar nuestras observaciones con sus propias herramientas. Por nuestra parte, hemos empleado el software astrológico/astronómico Solar Fire Gold, si bien las astrografías o mapas provienen del software astrológico/astronómico Janus. (shrink)

This book consists in seventeen chapters devoted to physical, metaphysical, and methodological questions concerning open systems. The chapters in the volume address questions such as: Are (theories of) open systems more fundamental than (theories of) closed systems? How have concepts of open and closed systems have been used throughout the history of physics, and how should we understand their use in contemporary physical theories? Must the universe be a closed system? Must there be a such thing as the universe at (...) all? -/- Contributors: Emily Adlam, Luis C. Barbado, Caslav Brukner, Eddy Keming Chen, Michael E. Cuffaro, Gemma De les Coves, George Ellis, Doreen Fraser, Henrique Gomes, Sean Gryb, William L. Harper, Stephan Hartmann, Molly Kao, Adam Koberinski, James Ladyman, Simon Langenscheidt, Olimpia Lombardi, Jorn Klovfjell Mjelva, Wayne C. Myrvold, Daniele Oriti, Josh Quirke, David Sloan, Karim P. Y. Thebault, Lev Vaidman, David Wallace, and Alastair Wilson. (shrink)

Lecture by physicist Khavtgaĭn Namsraĭ about nature of life, time, space and black holes.

This book analyzes changes in ideas about and experiences of time and space from 1880 to 2020, relying on new technologies for causal explanations of changes in nine key elements of time and space. Time and Space in the Internet Age is a thought-provoking study for academics and general readers interested in the history of technology and science.

This book explores and compares the reflections on space and quantity found in the works of five philosophers: Spinoza, Leibniz, Bergson, Whitehead, and Deleuze. What unites these philosophers is a series of metaphysical concerns rooted in 17th-century rationalism and embraced in 20th-century philosophies of process and difference. At the heart of these concerns is the need for a comprehensive metaphysical account of the diversity and individuality of things. This demand leads to a shared critique of Cartesian and Newtonian conceptions of (...) space. The most problematic aspect of those notions of space is homogeneity. In essence, uniform space fails to explain the differences between locations, thus violating the principle of sufficient reason. Cartesian and Newtonian theories of space thereby fail to meet the metaphysical requirement for explaining diversity and individuality. The traditional concept of quantity faces similar issues. Motivated by these problems, these five philosophers develop an alternative conception of space and quantity. By examining these theories, the book sheds new light on an unexplored relation between rationalism and 20th-century Continental philosophy. A Geometry of Sufficient Reason will appeal to scholars and graduate students working in Continental philosophy, history of philosophy, metaphysics, and the history and philosophy of science. (shrink)

It is standardly believed that the generally time-reversal symmetric fundamental laws of physics themselves cannot explain the apparent asymmetry of time. In particular, it is believed that CP (charge conjugation parity symmetry) violation is of no help. In this article, I want to push back against a quick dismissal of CP violation as a potential source for the arrow of time and argue that it should be taken more seriously for conceptualizing time in physics. After briefly reviewing the general debate (...) on the direction of time, I note that CP violation is a key feature of our best physical theory which also has large-scale explanatory import regarding the matter–anti-matter asymmetry of the universe. I then investigate how CP violation may help explain the directionality of time. I argue that accounts à la Maudlin, which posit an intrinsic fundamental direction of time, are not convincing and instead I propose using recent results from work on the dynamical approach to relativity theory: if matter field symmetries are more fundamental than spatiotemporal symmetries, the established (fundamental) directionality of the former may explain the (derivative) directionality of the latter. (shrink)

Within we prove Time is the potential of omnipotence. It also demonstrates that when we try to control it from a philosophical point of view it obscures us from Serendipity and access to the splendor of the perfect balance between Freewill and the Will of THE Universe as constrained by the Laws of the Universe. It creates Math or the language of the Creator. It is in fact Time that makes everything from nothing while the net sum of time remains (...) constant at zero. We also examine what Essence existed before time to calibrate C and ???????????????? to provide the harmonics for use in OUR Universe. (shrink)

Closed time-like curves (CTCs) naturally appear in a variety of chronology-violating space{times. In these space{times, the principle of self-consistency demands a harmony between local and global a airs that excludes grandfather-like paradoxes. However, selfexisting objects trapped in CTCs are not seemingly avoided by the standard interpretation of this principle, usually constrained to a dynamical framework. In this letter we discuss whether we are committed to accept an ontology with self-existing objects if CTCs actually occur in the universe. In addition, the (...) epistemological status of the principle of self-consistency is analyzed and a discussion on the information flux through CTCs is presented. (shrink)

The use of the model of discrete/quantized space sets the focus on mathematics instead of physics. It benefits the interpretation of observed and measured phenomena at the cosmological scale size. It is an approach that simplifies the problems around the understanding of the properties of the basic quantum fields.

If an asymmetry in time does not arise from the fundamental dynamical laws of physics, it may be found in special boundary conditions. The argument normally goes that since thermodynamic entropy in the past is lower than in the future according to the Second Law of Thermodynamics, then tracing this back to the time around the Big Bang means the universe must have started off in a state of very low thermodynamic entropy: the Thermodynamic Past Hypothesis. In this paper, we (...) consider another boundary condition that plays a similar role, but for the decoherent arrow of time, i.e. the subsystems of the universe are more mixed in the future than in the past. According to what we call the Entanglement Past Hypothesis, the initial quantum state of the universe had very low entanglement entropy. We clarify the content of the Entanglement Past Hypothesis, compare it with the Thermodynamic Past Hypothesis, and identify some challenges and open questions for future research. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Emergent Spacetime, the Megastructure Problem, and the Metaphysics of the SelfSusan Schneider (bio)The aim of this article is to introduce new thoughts on some pressing topics relating to my book, Artificial You, ranging from the fundamental nature of reality to quantum theory and emergence in large language models (LLM) like GPT-4. Since Artificial You was published, the innovations in the domain of AI chatbots like GPT-4 have been rapid-fire, (...) and at times dizzying. The thoughtful discussion in this symposium offers an important opportunity for cross-cultural engagement on these issues and more. I am grateful for the opportunity to learn from the insights of these authors and editors. [End Page 314]The order of my comments will be as follows: in the context of considering Christian Coseru's intriguing response (section 1), I begin by discussing the nature of the self, which I use as a springboard into larger, vexing issues about the nature of fundamental reality, given work on emergent spacetime (ES) (section 2). I offer a "Prototime Interpretation" of quantum mechanics in which spacetime emerges from a prototemporal arena, and use this idea to explore the nature of the self and mind.Using the assumption of ES, I devise an approach to metaphysically fundamental objects (which I call "quantum objects") based on quantum entanglement and the bundle theory of substance. I illustrate how the self or mind, insofar as it is a substance that supervenes on quantum objects, could be partly or fully determined by the properties of the quantum objects on which it supervenes. Intriguingly, this would mean that the self or mind is not located in any singular point in space at a given time. I also explain how the Prototime Interpretation of quantum mechanics is compatible with change and causation at the fundamental level.In section 3 I turn to Inês Hipólito's interesting article, discussing the import of not underestimating AI autonomy in light of the increasingly sophisticated large-language models (LLMs).1 I raise the "AI Megastructure Problem," a new problem of AI control arising in the context of the incipient AGI systems that are now populating the AI ecosystem. The problem, which arose from a collaboration with Kyle Kilian, considers the possibility of emergent properties from the interaction of the LLMs and other AI's in the AI ecosystem (Schneider and Kilian 2023). Then, turning to Noam Cook's intriguing discussion of Japanese philosophy, I consider the pressing issue of testing for machine consciousness, devising a modified version of my AI consciousness test (ACT), originally developed with astrophysicist Edwin Turner. I add an "interpretability component" to the ACT to deal with the case of LLMs (section 4).I. Patternism and the Biological Process ViewChristian Coseru's intriguing piece focuses on the chapters on personal identity in Artificial You, proposing that when it comes to the nature of the self, one should adopt "a biologically informed process-ontology perspective on personal identity," which "means recognizing that organic identity is different in kind: it is an identity of form rather than of matter."His position is akin to the patternist views that I argue against in Artificial You in the sense that it embraces the idea that form, rather than the particular matter that comprises one's brain and body, is key to one's survival over time. But there are important differences as well. For transhumanists tend to believe that the self can survive radical changes in one's substrate, transitioning from thinking with a biological brain to computing with a network of microchips, for instance. Coseru departs from this, writing: [End Page 315]As organisms, persons endure by undergoing constant change on a fundamentally cellular level, including the change in the neural pathways that realize the cognitive processes of thinking and expressing these very thoughts right now.Furthermore:[I]f persons are processes rather than things, then they cannot be cognitively enhanced by augmenting, replacing or transferring their functioning parts (e.g., brain cells).I will call this position the "Biological Process View" (BPV). I have several questions about it. First, how does this position solve one of the key problems I raised for... (shrink)

A serious examination of the viability of a static block universe, and an exploration of its repercussions in the fields of consciousness, causality, free will, cosmology, and quantum mechanics.

Introduction. The museum provides society with the opportunity for special interaction with space and time for the purposes of acquiring knowledge and the most complete assimilation of codes existing in culture and society. Theoretical analysis. Society’s perception of space and time in the museum will be examined and analyzed from the perspective of myth, which makes it possible to identify archetypal ideas of humanity that developed in ancient times and have largely not lost their infl uence on modern culture and (...) society. The methods of institutionalizing the activities of society, which originated in the past, passed from one era to another in a transformed form, while retaining some characteristic features and at the same time acquiring new ones that became necessary for existence in a diff erent sociocultural context. One of these characteristic features is the idea that space and time in a museum have profane and sacred dimensions. Conclusion. Space and time in the museum are a mirror not only of mythical motifs, but also of the dominant developments of the modern world. These fundamental principles concentrate all the most signifi cant features inherent in human communities for the purpose of their further transmission to society. (shrink)

An examination of the "mapness of maps" authored by a philosopher and cognitive scientist well known for his work on spatial representation.

This paper give the first foray into the development of a Theory of Everything that is consistent with the PF interpretation of quantum mechanics.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

A consideration of the unity of a class or kind as including its member or instances.

Este artículo examina la concepción del espacio infinito y del tiempo en Hasdai Crescas, Gianfrancesco Pico della Mirandola y Giordano Bruno. Si la presencia de Crescas es explícita en el _Examen vanitatis_ (1520) de Pico, su recepción por Bruno, que nunca lo menciona, fue postulada por Harry A. Wolfson en 1929. Más recientemente, David Harari y Mauro Zonta han afirmado el papel intermediario de un autor judío desconocido. Sin embargo, una comparación de la crítica de Aristóteles efectuada por Crescas y (...) Bruno pone de manifiesto que, excepto dos puntos, Bruno pudo alcanzar sus posiciones con independencia de Crescas, a partir de su propia lectura crítica de Aristóteles y de su conocimiento de los desarrollos de la escolástica medieval y del concepto neoplatónico del tiempo. La significativa calificación por Crescas del espacio y del tiempo como atributos de Dios en un sentido puramente metafórico, una cuestión que Pico deja a un lado, deja paso en Bruno a la calificación del espacio infinito, de la duración y también de la materia como atributos reales de Dios, que es a la vez mente e intelecto, espacio y materia, en tanto que unidad indiferente de los opuestos. (shrink)

The black hole information loss paradox is a catch-all term for a family of puzzles related to black hole evaporation. For almost 50 years, the quest to elucidate the implications of black hole evaporation has not only sustained momentum, but has also become increasingly populated with proposals that seem to generate more questions than they purport to answer. Scholars often neglect to acknowledge ongoing discussions within black hole thermodynamics and statistical mechanics when analyzing the paradox, including the interpretation of Bekenstein-Hawking (...) entropy, which is far from settled. To remedy the dialectical gridlock, I have formulated an overarching, unified framework, which I call ``Black Hole Paradoxes'', that integrates the debates and taxonomizes the relevant `camps' or philosophical positions. -/- I demonstrate that black hole evaporation within Hawking's semi-classical framework insinuates how late-time Hawking radiation is an entangled global system, a contradiction in terms. The relevant forms of information loss are associated with a decrease in maximal Boltzmann entropy and an increase in global von Neumann entropy respectively, which engender what I've branded the ``paradox of phantom entanglement''. Prospective solutions are then tasked with demonstrating how late-time Hawking radiation is either exclusively an entangled subsystem, in which a black hole remnant lingers as an information safehouse, or exclusively an unentangled global system, in which information is evacuated to the exterior. -/- The disagreement between safehouse and evacuation solutions boils down to the statistical interpretation of thermodynamic black hole entropy, i.e., Bekenstein-Hawking entropy. Safehouse solutions attribute Bekenstein-Hawking entropy to a minority of black hole degrees of freedom, those that are associated with the horizon. Evacuation solutions, in contrast, attribute Bekenstein-Hawking entropy to all black hole degrees of freedom. I argue that the interpretation of Bekenstein-Hawking entropy is the litmus test to vet the overpopulated proposal space. So long as any proposal rejecting Hawking's original calculation independently derives black hole evaporation, globally conserves degrees of freedom and entanglement, preserves a version of semi-classical gravity at sub-Planckian scales, and describes black hole thermodynamics in statistical terms, then it counts as a genuine solution to the paradox. (shrink)

Visual perception of space and time has been shown to rely on context dependency, an inferential process by which the average magnitude of a series of stimuli previously experienced acts as a prior during perception. This article aims to investigate the presence and evolution of this phenomenon in early aging. Two groups of participants belonging to two different age ranges (Young Adults: average age 28.8 years old; Older Adults: average age 62.8 years old) participated in the study performing a discrimination (...) and a reproduction task, both in a spatial and temporal conditions. In particular, they were asked to evaluate lengths in the spatial domain and interval durations in the temporal one. Early aging resulted to be associated to a general decline of the perceptual acuity, which is particularly evident in the temporal condition. The context dependency phenomenon was preserved also during aging, maintaining similar levels as those exhibited by the younger group in both space and time perception. However, the older group showed a greater variability in context dependency among participants, perhaps due to different strategies used to face a higher uncertainty in the perceptual process. (shrink)

Philosophers, theologians, physicists, and psychologists join their efforts to reflect on the crucial issues of limit and infinity, time and eternity, empty space and material space. The volume offers an invaluable contribution to some of the most important issues of our times: questions on God and consciousness are discussed in parallel with quantum theory, black holes, the inflationary universe, the Big Bang, and string theory, from different perspectives and angles, ranging from neuroscience to AI.

It is often said in physics that if two models of a theory are related by a symmetry, then the two models provide (or could provide) two different representations of the very same situation, alike the case of two maps of different color for the very same city. It is also said that the situations represented by two models of a theory are indiscernible in some ways when the models in question are related by a symmetry of the theory, just (...) like the situation in the interior of the cabin of a train when the train is at rest in the station is empirically indiscernible from the situation in the interior when the train is moving uniformly (in classical mechanics, these two situations are represented by two models related by a boost). In recent years, philosophers of physics have focused a lot of attention in developing various principles that aim to elucidate these and similar remarks on symmetries, models, physical equivalence, and representation that are widespread in physics practice. The goal of the current article is to provide a critical review of these principles, and suggest a new framework for thinking about these kinds of questions. One important upshot of the paper is that questions of indiscernibility, and questions of the representational capacity of models, must be distinguished from one another. (shrink)

In my dissertation, I address a variety of issues in the metaphysics of space and related areas. I begin by discussing the popular thesis that regions of space are identical to sets of points in space. I present three arguments against this thesis and conclude that we should be skeptical of it. In its place, I propose an axiomatic theory of regions of space that is consistent with both reductive accounts of their nature and with accounts that treat them as (...) sui generis entities. -/- I next explore the consequences of the aforementioned considerations. In particular, I describe five different sorts of structure each of which is such that the claim that space could have that structure is consistent with the axiomatic theory previously proposed. I claim that this fact, together with the skepticism concerning reductive accounts argued for earlier, shows that we should take seriously the claim that space could have any of these structures. -/- Having argued that we should be skeptical of the thesis that regions of space are identical to sets of points in space and suggesting that space could have different sorts of structure, I discuss how best to analyze continuity. I present an analysis of continuity inspired by remarks of Richard Cartwright in his 1975 paper ‘Scattered Objects’. I argue that this Cartwrightian analysis should be rejected because it identifies regions of space with sets of points in space, and I present a modified version of the analysis that does not do so. I note, however, that there is an intuitive notion of continuity that is not captured by this modified Cartwrightian analysis. I present and defend an analysis of continuity that better captures this intuitive notion. -/- I then turn to the issue of how to analyze what it is for a region of space to be open and what it is for a region of space to be closed. Here I argue that Cartwright’s analyses of these notions are incorrect. I then present a series of alternative analyses, revising each in response to objections. This process culminates with my proposed analyses of what it is for a region of space to be open and what it is for a region of space to be closed. -/- Finally, I discuss the Maximally Continuous Account of Simples (MaxCon), originally formulated and defended by Ned Markosian in his 1998 paper ‘Simples’. I argue that Markosian’s version of MaxCon, which identifies regions of space with sets of points in space and relies on the Cartwrightian analysis of continuity, should be rejected. I then formulate a new version of MaxCon that builds on the views defended earlier in my dissertation and defend this new version of MaxCon from objections. (shrink)