Results for 'Time Dilation'

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  1. Time Dilation according to Tropical Astrology and Why the Placidus Measurement of Astrographic Regions is Compatible with Relativity Theory.David Bustamante - unknown
    ● 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 (...)
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  2. Time Dilation, Context, and Relative Truth.Ángel Pinillos - 2010 - Philosophy and Phenomenological Research 82 (1):65-92.
    I argue that truth is relative (in the sense recently defended by some prominent analytical philosophers) by focusing on some semantic issues raised by Einstein's theory of relativity together with our ordinary attributions of truth.
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  3. The Law of Conservation of Time and Its Applications.Ninh Khac Son - manuscript
    Time is a complex category not only in philosophy but also in mathematics and physics. In one thought about time, the author accidentally discovered a new way to explain and solve problems related to time dilation, such as solving the problem of Muon particle when moving from a height of 10 km to the earth’s surface, while the Muon’s lifespan is only 2.2 microseconds, or explaining Michelson-Morley experiment using the new method. In addition, the author also (...)
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  4. Special Relativity in a Universe of Flowing Time.Ted Dace - 2015 - International Journal of Fundamental Physical Sciences 5 (3).
    By eliminating the need for an absolute frame of reference or ether, Einstein resolved the problem of the constancy of light-speed in all inertial frames but created a new problem in our understanding of time. The resolution of this problem requires no experimentation but only a careful analysis of special relativity, in particular the relativity of simultaneity. This concept is insufficiently relativistic insofar as Einstein failed to recognize that any given set of events privileges the frame in which the (...)
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  5. Time's Paradigm.Alan Graham & Alan R. Graham - 2020
    This wide ranging discourse covers many disciplines of science and the human condition in an attempt to fully understand the manifestation of time. Time's Paradigm is, at its inception, a philosophical debate between the theories of 'Presentism' and 'The Block Model', beginning with a pronounced psychological analysis of 'free will' in an environment where the past and the future already exist. It lays the foundation for the argument that time is a cyclical, contained progression, rather than a (...)
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  6. New Insights on Time and Quantum Gravity.Ozer Oztekin - 2020 - Advances in Physics Theories and Applications 83 (DOI: 10.7176/APTA/83-08).
    According to Einstein, a universal time does not exist. But what if time is different than what we think of it? Cosmic Microvawe Background Radiation was accepted as a reference for a universal clock and a new time concept has been constructed. According to this new concept, time was tackled as two-dimensional having both a wavelength and a frequency. What our clocks measure is actually a derivation of the frequency of time. A relativistic time (...)
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  7. Timelines: Short Essays and Verse in the Philosophy of Time.Edward A. Francisco - 2024 - Morrisville, North Carolina: Lulu Press.
    Timelines is an inquiry into the nature of time, both as an apparent feature of the external physical world and as a fundamental feature of our experience of ourselves in the world. The principal argument of Timelines is that our coventional ideas about time are largely mistaken and that what we think of as independent physical time is actually our calibration of a certain relation between events. Namely, the relation between time-keeping events and the causal sequential (...)
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  8.  7
    The Emergence of Time: Information, Consciousness, and the Quantum Fabric of Reality.Tim Grooms - manuscript
    Abstract: -/- This paper explores the relationship between time and information, proposing that time, rather than being a linear progression, emerges from the processing and interpretation of information within complex systems. Drawing on principles from quantum mechanics, information theory, and the philosophy of time, it examines how the perception of time is subjective and deeply influenced by consciousness, memory, and cultural context. In this framework, time dilation is framed not as a mere physical phenomenon (...)
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  9. Special Relativity Completed.Ted Dace - manuscript
    Though Einstein explained time dilation without recourse to a universal frame of reference, he erred by abolishing universal present moments. Relative simultaneity is insufficiently relativistic insofar as it depends on the absolute equality of reference frames in the measurement of the timing of events. Yet any given set of events privileges the frame in which the events take place. Relative to those events, the privileged frame yields the correct measurement of their timing while all other frames yield an (...)
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  10. Special Relativity in Superposition.Ted Dace - 2022 - Axiomathes 32 (2):199-213.
    By deriving the Lorentz transformation from the absolute speed of light, Einstein demonstrated the relativistic variability of space and time, enabling him to explain length contraction and time dilation without recourse to a "luminiferous ether" or preferred frame of reference. He also showed that clocks synchronized at a distance via light signals are not synchronized in a frame of reference differing from that of the clocks. However, by mislabeling the relativity of synchrony the "relativity of simultaneity," Einstein (...)
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  11. SUPER SCIENCE: Insightful Intuitions of the Future's Super-science, as Different from Today's Science as That is From Superstition and Myth.Rodney Bartlett - manuscript
    Look! Up in the bookshelf! Is it science? Is it science-fiction? No, it's Super Science: strange visitor from the future who can be everywhere in the universe and everywhen in time, can change the world in a single bound and who - disguised as a mild mannered author - fights for truth, justice and the super-scientific way. -/- Though I put a lot of hard work into this book, I can't take all the credit. I believe that the whole (...)
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  12. The physics and mathematics of time and relativity.Varanasi Ramabrahmam - 2013
    The nature of time is variously understood and varied expressions of time available are critically discussed. The nature of time formation, its structure and textures are presented taking examples from natural sciences and Indian spirituality. The physics and mathematics used to evolve the concept of time are chronologically presented. The mathematical allusion and physical illusion associated with the concept of theories of relativity are analyzed. The mathematical conjectures responsible for evolution of theories of relativity are pronounced. (...)
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  13. Faszination Zeitreisen.Kay Herrmann - 2014 - Universitätsverlag Chemnitz.
    The question of time travel stimulates the imagination and provides material for whimsical stories. A work on the topic of "time travel" forces us to deal with the concept of "time". The complexity and the antinomic character of this concept make it difficult to grasp "time" more precisely. We encounter time as a form of perception in its deeply subjective aspect, as a biological rhythm, as a social phenomenon in the sense of a collective determination (...)
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  14.  55
    The Unimaginable Telescope of Year 4001.Rodney Bartlett - manuscript
    The year in the title comes from “2001: A Space Odyssey”. The article was inspired by reading about the Vera C. Rubin Telescope, due to begin operations in Chile next year. The article I read talked about the telescope photographing the entire Southern Hemisphere sky but the heading spoke of watching the whole universe. Reconciling the Southern Hemisphere with the entire cosmos quickly became the challenge I chose to accept. The Unimaginable Telescope uses multi-messenger (combined neutrino / gravitational / electromagnetic) (...)
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  15. Vor dem Starten ankommen. Über Zeitreisen und Warp-Antriebe.Kay Herrmann - 2016 - Universitätsverlag Chemnitz.
    The question of time travel stimulates the imagination and provides material for whimsical stories. A work on the topic of "time travel" forces us to deal with the concept of "time". The complexity and the antinomic character of this concept make it difficult to grasp "time" more precisely. We encounter time as a form of perception in its deeply subjective aspect, as a biological rhythm, as a social phenomenon in the sense of a collective determination (...)
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  16. (2 other versions)Wittgenstein's Thought Experiments and Relativity Theory.Carlo Penco - 2019 - In Newton Da Costa & Shyam Wuppuluri (eds.), Wittgensteinian : Looking at the World From the Viewpoint of Wittgenstein's Philosophy. Springer Verlag.
    In this paper, I discuss the similarity between Wittgenstein’s use of thought experiments and Relativity Theory. I begin with introducing Wittgenstein’s idea of “thought experiments” and a tentative classification of different kinds of thought experiments in Wittgenstein’s work. Then, after presenting a short recap of some remarks on the analogy between Wittgenstein’s point of view and Einstein’s, I suggest three analogies between the status of Wittgenstein’s mental experiments and Relativity theory: the topics of time dilation, the search for (...)
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  17. A Note on the 'Twins Paradox'.Dan J. Bruiger - manuscript
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  18. It is impossible to teach special relativity without deceiving the student.Denis Thomas - 2022 - Science and Philosophy 10 (2):146-167.
    As the title asserts, it is impossible to teach the theory of special relativity without deceiving the student, which means that everyone who already accepts the theory as truth has been deceived. The resulting problem from this deception is, not only is science being held back as people not being told truth, these people are passing their deception onto others, even using time dilation as an answer to the distant starlight problem which many use to attack the account (...)
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  19. On the Marzke-Wheeler and Desloge Constructions.Alan Macdonald - 1992 - Foundations Of Physics Letters 3:493.
    There is no indication of time dilation of clocks or of length contraction of rods in Marzke and Wheeler's clock or in Desloge's metrosphere.
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  20. The Universal Theory of Existence - Part 1.Andrew Kamal - manuscript
    This is part 1 on a paper whose final variation of parts shall be titled,”The Universal Theory of Existence: The Sashu, Pharaohs, and the al-Mahdī”. The first part of this series sets the premise for a proposed ”Theory of Everything” that will be the foundation for encompassing many different topics. Since, the beginning of time, a singularity existed. This singularity is what we call an origin point of everything. Beyond, this origin point for time is different depending on (...)
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  21. Hot Spacetime (Queen and Philosophy).Kristina Šekrst - 2022 - In Jared Kemling (ed.), Queen and Philosophy: Guaranteed to Blow Your Mind. Pop Culture and Philosophy. pp. 149-158. Translated by Randall E. Auxier.
    The purpose of this paper is twofold. First, we will observe how May’s background in astrophysics influenced Queen's lyrics, such as 'Don't Stop Me Now' or 'Dead on Time'. Our goal is to see how physical and philosophical concepts of matter and time intersect with the common understanding of such phenomena, and how they differ from them. Second, we will focus on usually not that well-known song ‘39, which shows the entire point of the special theory of relativity (...)
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  22. Testing the relativistic theories of gravity.Nicolae Sfetcu - manuscript
    In developing general relativity, Einstein was led by theoretical criteria of elegance and simplicity. His theory initially encountered "three classic tests": perihelion precession of Mercury's orbit, deflection of light by the Sun, and gravitational redshift of light. There are large differences in predictions between general relativity and classical physics, such as gravitational time dilation, gravitational lensing, gravitational redshift of light, and so on. And there are many relativistic theories of gravity, bifurcated or independent, but Einstein's general theory of (...)
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  23. A Glimpse of Special Theory of Relativity.Arjun Dahal - 2017 - Journal of St. Xavier's Physics Council:5.
    This article provides a brief outline of Special Theory of Relativity. The physics before the relativity, the special relativity in itself, and the consequences of special relativity are discussed here.
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  24. Humility in networks.Mark Alfano & Emily Sullivan - 2020 - In Mark Alfano, Michael Patrick Lynch & Alessandra Tanesini (eds.), The Routledge Handbook of the Philosophy of Humility. New York, NY: Routledge.
    What do humility, intellectual humility, and open-mindedness mean in the context of inter-group conflict? We spend most of our time with ingroup members, such as family, friends, and colleagues. Yet our biggest disagreements —— about practical, moral, and epistemic matters —— are likely to be with those who do not belong to our ingroup. An attitude of humility towards the former might be difficult to integrate with a corresponding attitude of humility towards the latter, leading to smug tribalism that (...)
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  25. The Media of Relativity.Jimena Canales - 2015 - Technology and Culture 56 (3):610-645.
    How are fundamental constants, such as c for the speed of light, related to particular technological environments? Our understanding of the constant c and Einstein’s relativistic cosmology depended on key experiences and lessons learned in connection to new forms of telecommunications, first used by the military and later adapted for commercial purposes. Many of Einstein’s contemporaries understood his theory of relativity by reference to telecommunications, some referring to it as “signal-theory” and “message theory.” Prominent physicists who contributed to it (Hans (...)
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  26. Immobility theory.Ninh Khac Son - manuscript
    The content of the manuscript represents a bold idea system, it is beyond the boundaries of all existing knowledge but the method of reasoning and logic is also very strict and scientific. The purpose of the manuscript is to unify the natural categories (natural philosophy, natural geometry, quantum mechanics, astronomy,…), and to open a new direction for most other sciences. Abstract of the manuscript: About Philosophy: • Proved the existence of time and non-dilation. • Proved that matter is (...)
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  27. Dilation and Asymmetric Relevance.Arthur Paul Pedersen & Gregory Wheeler - 2019 - Proceedings of Machine Learning Research 103:324-26.
    A characterization result of dilation in terms of positive and negative association admits an extremal counterexample, which we present together with a minor repair of the result. Dilation may be asymmetric whereas covariation itself is symmetric. Dilation is still characterized in terms of positive and negative covariation, however, once the event to be dilated has been specified.
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  28. Demystifying Dilation.Arthur Paul Pedersen & Gregory Wheeler - 2014 - Erkenntnis 79 (6):1305-1342.
    Dilation occurs when an interval probability estimate of some event E is properly included in the interval probability estimate of E conditional on every event F of some partition, which means that one’s initial estimate of E becomes less precise no matter how an experiment turns out. Critics maintain that dilation is a pathological feature of imprecise probability models, while others have thought the problem is with Bayesian updating. However, two points are often overlooked: (1) knowing that E (...)
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  29. Dilating and contracting arbitrarily.David Builes, Sophie Horowitz & Miriam Schoenfield - 2020 - Noûs 56 (1):3-20.
    Standard accuracy-based approaches to imprecise credences have the consequence that it is rational to move between precise and imprecise credences arbitrarily, without gaining any new evidence. Building on the Educated Guessing Framework of Horowitz (2019), we develop an alternative accuracy-based approach to imprecise credences that does not have this shortcoming. We argue that it is always irrational to move from a precise state to an imprecise state arbitrarily, however it can be rational to move from an imprecise state to a (...)
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  30. Counterexamples to Some Characterizations of Dilation.Michael Nielsen & Rush T. Stewart - 2021 - Erkenntnis 86 (5):1107-1118.
    We provide counterexamples to some purported characterizations of dilation due to Pedersen and Wheeler :1305–1342, 2014, ISIPTA ’15: Proceedings of the 9th international symposium on imprecise probability: theories and applications, 2015).
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  31. Existential risk pessimism and the time of perils.David Thorstad - manuscript
    When our choice affects some other person and the outcome is unknown, it has been argued that we should defer to their risk attitude, if known, or else default to use of a risk avoidant risk function. This, in turn, has been claimed to require the use of a risk avoidant risk function when making decisions that primarily affect future people, and to decrease the desirability of efforts to prevent human extinction, owing to the significant risks associated with continued human (...)
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  32. Pulling Apart Well-Being at a Time and the Goodness of a Life.Owen C. King - 2018 - Ergo: An Open Access Journal of Philosophy 5:349-370.
    This article argues that a person’s well-being at a time and the goodness of her life are two distinct values. It is commonly accepted as platitudinous that well-being is what makes a life good for the person who lives it. Even philosophers who distinguish between well-being at a time and the goodness of a life still typically assume that increasing a person’s well-being at some particular moment, all else equal, necessarily improves her life on the whole. I develop (...)
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  33. ‘The kids are alright’: political liberalism, leisure time, and childhood.Blain Neufeld - 2018 - Philosophical Studies 175 (5):1057-1070.
    Interest in the nature and importance of ‘childhood goods’ recently has emerged within philosophy. Childhood goods, roughly, are things that are good for persons qua children independent of any contribution to the good of persons qua adults. According to Colin Macleod, John Rawls’s political conception of justice as fairness rests upon an adult-centered ‘agency assumption’ and thus is incapable of incorporating childhood goods into its content. Macleod concludes that because of this, justice as fairness cannot be regarded as a complete (...)
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  34. Episodic Imagining, Temporal Experience, and Beliefs about Time.Anthony Bigg, Andrew J. Latham, Kristie Miller & Shira Yechimovitz - 2024 - Philosophy and Phenomenological Research 109 (2):528-547.
    We explore the role of episodic imagining in explaining why people both differentially report that it seems to them in experience as though time robustly passes, and why they differentially report that they believe that time does in fact robustly pass. We empirically investigate two hypotheses, the differential vividness hypothesis, and the mental time travel hypothesis. According to each of these, the degree to which people vividly episodically imagine past/future states of affairs influences their tendency to report (...)
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  35. The Phenomenology and Predictive Processing of Time in Depression.Zachariah A. Neemeh & Shaun Gallagher - 2020 - In Dina Mendonça, Manuel Curado & Steven S. Gouveia (eds.), The Philosophy and Science of Predictive Processing. New York, NY: Bloomsbury Publishing. pp. 187-207.
    In this chapter we first elucidate the subjective flow of time particularly as developed by Husserl. We next discuss time and timescales in predictive processing. We then consider how the phenomenological analysis of time can be naturalized within a predictive processing framework. In the final section, we develop an analysis of the temporal disturbances characteristic of depression using the resources of both phenomenology and predictive processing.
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  36. Can Things Endure in Tenseless Time.Rögnvaldur Ingthorsson - 2009 - SATS 10 (1):79-99.
    It has been argued that the tenseless view of time is incompatible with endurantism. This has been disputed, perhaps most famously by Hugh Mellor and Peter Simons. They argue that things can endure in tenseless time, and indeed must endure if tenseless time is to contain change. In this paper I will point out some difficulties with Mellor’s and Simons’ claims that in tenseless time a particular can be ‘wholly present’ at various times, and therefore endure, (...)
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  37. ‘What on Earth Was I Thinking?’ How Anticipating Plan’s End Places an Intention in Time.Edward Hinchman - 2015 - In Roman Altshuler Michael J. Sigrist (ed.), Time and the Philosophy of Action. New York: Routledge. pp. 87-107.
    How must you think about time when you form an intention? Obviously, you must think about the time of action. Must you frame the action in any broader prospect or retrospect? In this essay I argue that you must: you thereby commit yourself to a specific prospect of a future retrospect – a retrospect, indeed, on that very prospect. In forming an intention you project a future from which you will not ask regretfully, referring back to your follow-through (...)
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  38. The Existential Moment: Rereading Dōgen's Theory of Time.Rein Raud - 2012 - Philosophy East and West 62 (2):153-173.
    This article argues for a new way to interpret Dōgen's theory of time, reading the notion of uji as momentary existence, and shows that many notorious difficulties usually associated with the theory can be overcome with this approach, which is also more compatible with some fundamental assumptions of Buddhist philosophy (the non-durational existence of dharmas, the arbitrariness of linguistic designations and the concepts they point to, the absence of self-nature in beings, etc.). It is also shown how this reading (...)
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  39. Time-biases and Rationality: The Philosophical Perspectives on Empirical Research about Time Preferences.Tomasz Żuradzki - 2015 - In Jerzy Stelmach, Bartosz Brozek & Lukasz Kurek (eds.), The Emergence of Normative Orders. Copernicus Press. pp. 149-187.
    The empirically documented fact is that people’s preferences are time -biased. The main aim of this paper is to analyse in which sense do time -biases violate the requirements of rationality, as many authors assume. I will demonstrate that contrary to many influential views in psychology, economy and philosophy it is very difficult to find why the bias toward the near violates the requirements rationality. I will also show why the bias toward the future violates the requirements of (...)
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  40. Truth-conditions, truth-bearers and the new B-theory of time.Stephan Torre - 2009 - Philosophical Studies 142 (3):325-344.
    In this paper I consider two strategies for providing tenseless truth-conditions for tensed sentences: the token-reflexive theory and the date theory. Both theories have faced a number of objections by prominent A-theorists such as Quentin Smith and William Lane Craig. Traditionally, these two theories have been viewed as rival methods for providing truth-conditions for tensed sentences. I argue that the debate over whether the token-reflexive theory or the date theory is true has arisen from a failure to distinguish between conditions (...)
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  41. The Mathematical Representation of the Arrow of Time.Meir Hemmo & Orly Shenker - 2012 - Iyyun 61:167-192.
    This paper distinguishes between 3 meanings of reversal, all of which are mathematically equivalent in classical mechanics: velocity reversal, retrodiction, and time reversal. It then concludes that in order to have well defined velocities a primitive arrow of time must be included in every time slice. The paper briefly mentions that this arrow cannot come from the Second Law of thermodynamics, but this point is developed in more details elsewhere.
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  42. Diodorus Cronus and the Logic of Time.Massie Pascal - 2016 - Review of Metaphysics 70 (2):279-309.
    The master argument posits a metaphysical thesis: Diodorus does away with Aristotle’s dunamis understood as a power simultaneously oriented toward being and non-being and proclaims that possibilities that fail to actualize are simply nothing. My contention is that this claim is not a mere application of Diodorus’ contribution to modal logic. Rather, Diodorus creates an ontologico-temporal concept of possibility and impossibility. Diodorus envisions the future as the past that the future will become. Since what will have been can never be (...)
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  43. Why COVID-19 is the right time to increase carbon prices.Kian Mintz-Woo - 2020 - RTÉ Brainstorm.
    [Newspaper opinion] strengthening carbon pricing during COVID-19 is the best time to do so for both consumers and for governments.
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  44. The Inert vs. the Living State of Matter: Extended Criticality, Time Geometry, Anti-Entropy - An Overview.Giuseppe Longo & Maël Montévil - 2012 - Frontiers in Physiology 3:39.
    The physical singularity of life phenomena is analyzed by means of comparison with the driving concepts of theories of the inert. We outline conceptual analogies, transferals of methodologies and theoretical instruments between physics and biology, in addition to indicating significant differences and sometimes logical dualities. In order to make biological phenomenalities intelligible, we introduce theoretical extensions to certain physical theories. In this synthetic paper, we summarize and propose a unified conceptual framework for the main conclusions drawn from work spanning a (...)
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  45. Introduction to Special Issue on Seventeenth Century Absolute Space and Time.Geoffrey Gorham & Edward Slowik - 2012 - Intellectual History Review 22 (1):1-3.
    The articles that comprise this special issue of Intellectual History Review are briefly described.
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  46. Less for Recidivists? Why retributivists have a reason to punish repeat offenders less harshly than first-time offenders ∗.Thomas Søbirk Petersen - 2011 - In Jesper Ryberg & Claudio Tamburrini (eds.), Recidivists Punishment: The Philosophers' view. Lanham: Lextington books.
    About 80 % of all convicted have had a prior record of conviction. But how should the state punish repeat offenders (with a prior conviction) as compared with first-time offenders who are convicted? The law in all jurisdictions, a large swathe of public opinion, and the general trend within criminal justice ethics all seem to accept what we may call: -/- Asymmetry A The punishment of repeat offenders should be harsher than the punishment of first-time offenders. -/- This (...)
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  47. Ghostly pasts and postponed futures: The disorder of time during the corona pandemic.Siobhan Kattago - 2021 - Memory Studies 14 (6):1401-1413.
    Since the first lockdown in March 2020, time seems to have slowed to a continuous present tense. The Greek language has three words to express different experiences of time: aion, chronos and kairos. If aion is the boundless and limbo-like time of eternity, chronos represents chronological, sequential, and linear time. Kairos, however, signifies the rupture of ordinary time with the opportune moment, epiphany and redemption, revolution, and most broadly, crisis and emergency. This paper argues that (...)
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  48. Locating uncertainty in stochastic evolutionary models: divergence time estimation.Charles H. Pence - 2019 - Biology and Philosophy 34 (2):21.
    Philosophers of biology have worked extensively on how we ought best to interpret the probabilities which arise throughout evolutionary theory. In spite of this substantial work, however, much of the debate has remained persistently intractable. I offer the example of Bayesian models of divergence time estimation as a case study in how we might bring further resources from the biological literature to bear on these debates. These models offer us an example in which a number of different sources of (...)
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  49. Time's Arrow in a Quantum Universe: On the Status of Statistical Mechanical Probabilities.Eddy Keming Chen - 2020 - In Valia Allori (ed.), Statistical Mechanics and Scientific Explanation: Determinism, Indeterminism and Laws of Nature. Singapore: World Scientific. pp. 479–515.
    In a quantum universe with a strong arrow of time, it is standard to postulate that the initial wave function started in a particular macrostate---the special low-entropy macrostate selected by the Past Hypothesis. Moreover, there is an additional postulate about statistical mechanical probabilities according to which the initial wave function is a ''typical'' choice in the macrostate. Together, they support a probabilistic version of the Second Law of Thermodynamics: typical initial wave functions will increase in entropy. Hence, there are (...)
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  50. Grete Hermann as Neo-Kantian Philosopher of Space and Time Representation.Erik C. Banks - 2018 - Journal for the History of Analytical Philosophy 6 (3).
    Grete Hermann’s essay “Die naturphilosophischen Grundlagen der Quantenmechanik” has received much deserved scholarly attention in recent years. In this paper, I follow the lead of Elise Crull who sees in Hermann’s work the general outlines of a neo-Kantian interpretation of quantum theory. In full support of this view, I focus on Hermann’s central claim that limited spatio-temporal, and even analogically causal, representations of events exist within an overall relational structure of entangled quantum mechanical states that defy any unified spatio-temporal description. (...)
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