The art of Simon Finn has always had a markedly temporal dynamic. Vast structures built and annihilated again and again across different media, their fragmentation across space and time simultaneously methodical and darkly chaotic. Roiling waters and eldritch surfaces held captive in their unrest. Finn’s works render cycles of construction and disintegration, of stasis and motion, in ways that shed light upon the underlying structures of our experience of time while shattering simplistic notions of linearity. This is nowhere (...) more apparent than in Instability, through which Finn allows us to explore the intertwining of personal and historical time, ancestral memory and radical futurity, artefactual form and temporal function. (shrink)

Temporal epistemic logics are known, from results of Halpern and Vardi, to have a wide range of complexities of the satisfiability problem: from PSPACE, through non-elementary, to highly undecidable. These complexities depend on the choice of some key parameters specifying, inter alia, possible interactions between time and knowledge, such as synchrony and agents' abilities for learning and recall. In this work we develop practically implementable tableau-based decision procedures for deciding satisfiability in single-agent synchronous temporal-epistemic logics with interactions between (...) class='Hi'>time and knowledge. We discuss some complications that occur, even in the single-agent case, when interactions between time and knowledge are assumed and show how the method of incremental tableaux can be adapted to work in EXPSPACE, respectively 2EXPTIME, for these logics, thereby also matching the upper bounds obtained for them by Halpern and Vardi. (shrink)

This paper investigates logical aspects of combining linear orders as semantics for modal and temporal logics, with modalities for possible paths, resulting in a variety of branching time logics over classes of trees. Here we adopt a unified approach to the Priorean, Peircean and Ockhamist semantics for branching time logics, by considering them all as fragments of the latter, obtained as combinations, in various degrees, of languages and semantics for linear time with a modality for (...) possible paths. We then consider a hierarchy of natural classes of trees and bundled trees arising from a given class of linear orders and show that in general they provide different semantics. We also discuss transfer of definability from linear orders to trees and introduce a uniform translation from Priorean to Peircean formulae which transfers definability of properties of linear orders to definability of properties of all paths in trees. (shrink)

There are possible worlds in which time is circular and finite in duration, forming a loop of, say, 12,000 years. There are also possible worlds in which time is linear and infinite in both directions and in which history is repetitive, consisting of infinitely many 12,000-year epochs, each two of which are exactly alike with respect to all intrinsic, purely qualitative properties. Could one ever have empirical evidence that one inhabits a world of the first kind rather (...) than a world of the second kind? We argue for the affirmative answer, contra Quine, Newton-Smith, and Bergström. Our argument for that conclusion differs from an argument for the same conclusion due to Weir. Weir’s argument is probabilistic and explicitly requires having evidence against determinism. Our argument is a direct appeal to the simplicity of laws, and it involves no probabilistic component. It is modeled on Shoemaker’s argument that one could have evidence of time without change. (shrink)

Humankind is currently confronted with a critical challenge that determines its very existence, not only on an individual, racial, or national level but as a whole species: the fight against climate change and environmental degradation. To win this battle, humanity needs innovations and non-linear thinking. Nature has long been a substantial information source for unthinkable discoveries that save human lives. The paper suggests that by understanding the nature, emergence, and mechanism of serendipity, the survival skill of humans, humanity can (...) capitalize on it to learn from nature and generate nature-based innovations that can address the climate and environmental degradation crises. In the era of Artificial Intelligence (AI) proliferation, AI will be a vital tool providing navigational and useful information to leverage the power of serendipity in climate and sustainability science. However, an eco-surplus culture that incorporates core values pertaining to nature and sees environmental sustainability as the conscience of the times needs to be built to direct and control the immense power of AI-leveraged serendipity. Insights applied in this paper are drawn from the book titled “A New Theory of Serendipity: Nature, Emergence and Mechanism”. (shrink)

Time as the key to a theory of everything became recently a renewed topic in scientific literature. Social constructivism applied to physics abandons the inevitable essentials of nature. It adopts uncertainty in the scope of the existential activity of scientific research. We have enlightened the deep role of social constructivism of the predetermined Newtonian time and space notions in natural sciences. Despite its incompatibility with determinism governing the Newtonian mechanics, randomness and entropy are inevitable when negative localized energy (...) is transformed into spatially dissipative heat. In sharp contrast to the Newtonian notion, social constructivism makes room for the temporal twin of cyclic conservation and pseudo-linearly structural evolution both reconciling mechanical order and thermodynamic chaos in Leibnizian space-time. In the broad scope of natural sciences this triad nature of time produces a multiple reality and gives appropriate answers on virtual physical paradoxes. (shrink)

One of the most important theories in linear programming is the dualistic theory and its basic idea is that for every linear model has dual linear model, so that solving the original linear model gives a solution to the dual model. Therefore, when we solving the linear programming model, we actually obtain solutions for two linear models. In this research, we present a study of the models. The neutrosophic dual and the binary simplex algorithm, (...) which works to find the optimal solution for the original and dual models at the same time. The importance of this algorithm is evident in that it is relied upon in several operations research topics, such as integer programming algorithms, some nonlinear programming algorithms, and sensitivity analysis in linear programming. (shrink)

Numerous problems arising in engineering applications can have several objectives to be satisfied. An important class of problems of this kind is lexicographic multi-objective problems where the first objective is incomparably more important than the second one which, in its turn, is incomparably more important than the third one, etc. In this paper, Lexicographic Multi-Objective Linear Programming (LMOLP) problems are considered. To tackle them, traditional approaches either require solution of a series of linear programming problems or apply a (...) scalarization of weighted multiple objectives into a single-objective function. The latter approach requires finding a set of weights that guarantees the equivalence of the original problem and the single-objective one and the search of correct weights can be very time consuming. In this work a new approach for solving LMOLP problems using a recently introduced computational methodology allowing one to work numerically with infinities and infinitesimals is proposed. It is shown that a smart application of infinitesimal weights allows one to construct a single-objective problem avoiding the necessity to determine finite weights. The equivalence between the original multi-objective problem and the new single-objective one is proved. A simplex-based algorithm working with finite and infinitesimal numbers is proposed, implemented, and discussed. Results of some numerical experiments are provided. (shrink)

This paper argues that processes in the sensible realm can be in accord with reason in the Timaeus, since rationality is understood here as being based on regularity, which is conferred onto processes by time. Plato uses two different temporal structures in the Timaeus, associated with the contrast there drawn between Greek and Egyptian approaches to history. The linear order of before and after marks natural processes as rational and underlies the Greek treatment of history. By contrast, a (...) bidirectional temporal structure is the basis for the Egyptian approach to historical processes: present actions are not only determined by preceding ones in the past, but can also be influenced by the future (plans, aims). This latter temporal structure is shown to be necessary for learning from history, which makes human actions more regular. (shrink)

In the light of the results obtained during the last two decades in analysis of signals by time series, it has become evident that the tools of non linear dynamics have their elective role of application in biological, and, in particular, in neuro-physiological and psycho-physiological studies. The basic concept in non linear analysis of experimental time series is that one of recurrence whose conceptual counterpart is represented from variedness and variability that are the foundations of complexity (...) in dynamic processes. Thus, the recurrence plots and the Recurrence Quantification Analysis (RQA) are discussed. It is shown that RQA represents the most general and correct methodology in investigation of experimental time series. By it we arrive to inspect the inner structure of the time series connected to the signals under investigation. Linked to RQA we prospect also the method CZF, recently introduced by us. It is able to account for a true estimation of variability of signals in time as well as in frequency domain. And, consequently, it may be used in conjunction with classical Fourier analysis, accounting however that it is inappropriate in analysis of non linear and non stationary experimental time series. The use of CZF method in fractal analysis is also considered in addition to standard index as Hurst exponent. A large field of possible applications in neurological as well as in psycho-physiological studies is given. Also, there are given examples of other and (possibly linked) applications as example the analysis of beat-to-beat fluctuations of human heartbeat intervals that is sovereign in psycho-physiological studies. We give applications on some different planes to evidence the particular sensitivity of such methods. We reach the objective to show that the previously exposed methods are also able to predict in advance the advent of ventricular tachycardia and/or of ventricular fibrillation. The RQA analysis gives good results. The CZF method gives the most excellent results showing that it is able to give very significant indexes of prediction. We also apply such methods in investigation of state anxiety, and proposing in detail a quantum like model of such phenomenological status of the mind. (shrink)

The article fits into the debate regarding space, time and nature in dialogue with the world lived by subjects that build up themselves or are built as mythological heroes, source of speech and spacial concrete practices. It's a poorly explored field in Geography that recently approaches to the cultural dynamic debate, to the symbolic field and also to their spacialization processes. The aim is to discuss the possibility of understanding in the present time about the space organization processes (...) related to the society's previous moments, in a space/time dialectics which articulate the present and past times in a complex and non linear way. Methodologically, starting from a literature review about the theme, the present study was linked to the field and documental research about migration to the vicinal ways of Transamazônica Highway (BR-230 Highway), the creation of the "Centro Espírita União do Vegetal", a religion that arises in the Amazon and set up its headquarters in Brasília and the construction of Brasilia as a modern metropolis without a past. The conclusion points at the possibility of space/time nexuses linking the Myth of Nature to the Creation of Heroes, constantly appropriated and with new meanings, in order to support speeches and new actions dialectically throughout the Brazilian contemporaneous space. (shrink)

The major point in [1] chapter 2 is the following claim: “Any formalized system for the Theory of Computation based on Classical Logic and Turing Model of Computation leads us to a contradiction.” So, in the case we wish to save Classical Logic we should change our Computational Model. As we see in chapter two, the mentioned contradiction is about and around the concept of time, as it is in the contradiction of modified version of paradox. It is natural (...) to try fabricating the paradox not by time but in some other linear ordering or the concept of space. Interestingly, the attempts to have similar contradiction by the other concepts like space and linear ordering, is failed. It is remarkable that, the paradox is considered either Epistemological or Logical traditionally, but by new considerations the new version of paradox should be considered as either Logical or Physical paradox. Hence, in order to change our Computational Model, it is natural to change the concept of time, but how? We start from some models that are different from the classical one but they are intuitively plausible. The idea of model is somewhat introduced by Brouwer and Husserl [3]. This model doesn’t refute the paradox, since the paradox and the associated contradiction would be repeated in this new model. The model is introduced in [2]. Here we give some more explanations. (shrink)

The concept of time-travel is a modern idea which combines the imaginary signification of rational domination, the imaginary signification of technological omnipotence, the imaginary concept of eternity and the imaginary desire for immortality. It is a synthesis of central conceptual schemata of techno-science, such as the linearity and homogeneity of time, the radical separation of subjectivity from the world, the radical separation of the individual from his/her social-historical environment. The emergence of this idea, its spread during the 20th (...) century as a major theme of science fiction literature alongside its dissemination as a scientific hypothesis, its popularity with both the public and the scientific community, are indications of the religious role of techno-science. It is my opinion, finally, that, as a chimera, time-travel is non-feasible and impossible. In order to support my claims, I will briefly outline the origins of the time-travel concept and its epistemological and metaphysical/ontological conditions. If these conditions prove to be absurd, the logical impossibility of time-travel will have been demonstrated. (shrink)

The first-order temporal logics with □ and ○ of time structures isomorphic to ω (discrete linear time) and trees of ω-segments (linear time with branching gaps) and some of its fragments are compared: the first is not recursively axiomatizable. For the second, a cut-free complete sequent calculus is given, and from this, a resolution system is derived by the method of Maslov.

Science is the basis for managing the affairs of life and human activities, and living without knowledge is a form of wandering and a kind of loss. Using scientific methods helps us understand the foundations of choice, decision-making, and adopting the right solutions when solutions abound and options are numerous. Operational research is considered the best that scientific development has provided because its methods depend on the application of scientific methods in solving complex issues and the optimal use of available (...) resources in various fields, private and governmental work in peace and war, in politics and economics, in planning and implementation, and in various aspects of life. Its basic essence is to use the data provided for the issue under study to build a mathematical model that is the optimal solution. It is the basis on which decision makers rely in managing institutions and companies, and when operations research methods meet with the neutrosophic teacher, we get ideal solutions that take into account all the circumstances and fluctuations that may occur in the work environment over time. One of the most important operations research methods is the linear programming method. Which prompted us to reformulate the linear models, the graphical method, and the simplex method, which are used to obtain the optimal solution for linear models using the concepts of neutrosophic science. In this research, and as a continuation of what we presented previously, we will reformulate the modified simplex algorithm that was presented to address the difficulty that we were facing when applying the direct simplex algorithm. It is the large number of calculations required to be performed in each step of the solution, which requires a lot of time and effort. (shrink)

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 the pandemic is impacting how individuals perceive time in two ways: first, as a distortion of time in which individuals are caught between linear time (chronos) and rupture (kairos) invoking the state of emergency and second, as an extended present that blurs the passing of chronological time with its seeming eternity (aion). As a result of the perceived suspension of ordinary time, temporal understandings of the future are postponed, while the past hovers like a ghost over the present. (shrink)

What do we do with Judges? This two-edged word? This ambidextrous book? These ambivalent heroes? The Judges were drawing their last fleeting breaths shipwrecked and scattered upon the shores of historical-critical-grammatical-linear-modernist-masculine interpretation. "The narrative is primitive," they said. "The editors have made a mess," they exclaimed. "The conclusion is really an appendix," another said. Then the bible-acrobats jumped in pretending there was no literary carnage while at the same time drawing our eyes away from the literary carnage. "No, (...) no, there is an order to this disorderly book!" "Gideon is a man of faith," they explained. "Gideon is a sham," others retorted. "Long live the king," they cried. "Oh no, the king will bring down the nation," others said. Enter the latest literary critics and the fresh feminist readers to save the day. And save they have. Barry noted the irony. Cheryl called attention to the elaborate, spiraling labyrinth. Phyllis remembered the forgotten. Mieke heralded the incoherence. Deborah the Bee slings Barak with irony. Cowardly Jephthah sacrifices his virgin daughter immediately after he is filled with the spirit. Blind Samson remains stuck in some adolescent, Pinnochio-like stage milling around the same old vices. The Levite, the man of word and sacrifice, lies to the people and dismembers his wife. To beat it all the myopic narrator joins in lock step with the other blind characters stumbling around in the narrative. What manner of text is this? These Judges, these stories, are even more troubling now that we take them seriously. Now what do we do with Judges? The recent scholarship is most promising, but I think we must press forward, or is that backward, or perhaps to another plan. Perhaps Judges hearkens forward to the postmodern. What would Judges look like if we viewed the story through a postmodern lens? Would we see the text in another dimension? Would we let the characters live and breathe as confusing, confounding, intricate characters? Judges speaks to me. These judges, they teach me. How can I ever forget my reading of Judges? For once I found a text reflecting the madness of faith in my maddening world. For once I saw a text like Pablo. I heard the echo of Umberto. I noted the faint murmurings of Jacques. I danced a most joyous jig with Julia. I saw, up ahead, or was that behind me, or over to the side, Martin's flickering candle. Mieke, meet Jael. Barak, meet Barry. Jacques, meet Gideon. Samson, meet Martin. Umberto, meet the narrator or two or three. Pablo, meet the Levite's wife---sorry, she has no name. (shrink)

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 (...) meandering voyage into infinity, bringing into question the validity of a commensurate 'Big Bang'. Following, the proposal widens to encompass physics. It tackles clock rates and time dilation, acausality and the nuisance of a universal clock, and demonstrates that conscious consideration creates the present moment - time's flow - separating the solid state past and future whose reality is devoid of space. Arguments relating to Quantum Physics theory, including the Uncertainty Principle and a Superposition of States, lend credibility to key areas involving cognitive awareness. It is posited that defined points in time and space prohibit progress in linear models for progression. Thus motile paradoxes can be resolved with the absence of infinities; temporal perception, it is concluded, being the result of uncertainty. Time's Paradigm takes the bold step of asking us to consider a tangible dimension of time, representing an intimate extension of our three, known spatial dimensions. Chaos theory is briefly introduced leading to the configuration of a fractal fourth dimension of time whose assumption demands only one direction of flow. Further, it asks whether our universe is expanding or contracting. It considers the simple physics of bodies contracting in a fourth dimension of time (UC), and how that marries comfortably with standard scientific models such as Special Relativity. The rate at which matter is contracting in the universe is illustrated in a reduction factor of 1.618... coinciding with Fibonacci's Ratio and countering Time Dilation. Lastly the more complex aspects of relativistic velocities are tackled together with the conundrum of Zero Velocity and The Speed of Light being attributes of the same event in Cyclical Space-Time, and ultimately, the prospect of superluminal velocities by interaction with parallel time-zones in a multi-layered block universe. (shrink)

Using hokku poet Basho’s aesthetics of wandering, as defined by Thomas Heyd, I argue that, by detailing the excruciating pointlessness of work undertaken according to commands that take little or no account of their feasibility, Richard Flanagan’s novel, The Narrow Road to the Deep North (which takes its title from Basho's work) transforms the features of this aesthetics into the lived experience of prisoners of war on the ‘line’. In doing so, Flanagan transfers Basho’s aesthetics into a represented actuality through (...) the privileging of subjectivity over identity and the dissolution of the body on the line. The three prongs to Basho’s aesthetics are found in Flanagan’s novel. In this, Flanagan is identifying the complexity of meanings evident in the terminology of such aesthetics, rendering what appears positive in the context of Basho’s poetry negative in its practical application as this is articulated through the prisoners’ wartime experiences. Rather than being formative, Flanagan’s novel suggests wartime experience has a complexly ‘opposite’ effect. This is apparent in the complications of identity represented in post-war terms as a disunity (rather than a coherent unity), as articulated through the use of spatial metaphors that reverse the formative intensities of subjectivity and body through symbolic acts of dispersal and dissolution. (shrink)

I analyze Deleuze’s concept of temporality in terms of its ontology and axiological (political and aesthetic) aspects. For Deleuze, the concept of temporality is non-monolithic, in the senses that it is modified throughout his works — the monographs, lectures, and those works that were co-authored with Félix Guattari — and that it is developed through reference to a dizzying array of concepts, thinkers, artistic works, and social phenomena. -/- I observe that Deleuze’s concept of temporality involves a complex ontology of (...) difference, which I elaborate through reference to Deleuze’s analyses of Ancient Greek and Stoic conceptualizations of time. From Plato through to Chrysippus, temporality gradually comes to be identified as a form that comprehends the variation of particulars. Deleuze modifies the ancients’ concept of time to suggest that time obtains as a form of ceaseless ontological variation. Through reference to Deleuze’s reading of Gilbert Simondon, I further suggest that Deleuze tends to conceive of temporality as an ontogenetic force which participates in the complex process of individuation. -/- A standout feature of this dissertation involves an analysis of how Deleuze’s concept of temporality is modified in his works on cinema. In Cinema 1: The Movement-Image and Cinema 2: The Time-Image, temporality comes to be characterized as something other than the measure of the movement of existents. In his detailed analyses of Bergson — in Cinema 1: The Movement-Image, Cinema 2: The Time-Image, and Bergsonism — Deleuze suggests that time involves an actualization of aspects of a virtual past as contemporaneous with the lived present. While not an outright denial of the relation of temporal succession, Deleuze’s claim implies a diminishment of this relation’s significance in an adequate elaboration of the nature of temporality. -/- Further, I observe —through reference to Deleuze’s readings of Marx, Kierkegaard, and Spinoza — that (the explicitly temporal) change of societal forms of economic organization is non-reducible to that suggested by linear evolution. The claim is that putatively discrete modes of economic organization do not enjoy temporal displacement with respect to one another. This suggests that linear evolutionary models of societal development are inadequate. This further implies that temporality is non-reducible to the relation of temporal succession. In concrete terms, societal change is characterized as immanent temporal variation. -/- Taken together, these analyses yield the conclusion that Deleuze tends to conceive of the nature of temporality as involving the ongoing realization of multiple — non-identical, sometimes contrary — aspects of a stochastic process of creation that is expressed in ontogenetic circumstances, social evolution, literary works, and filmic works. (shrink)

We consider time as a fuzzy concept. Based on this, the Fuzzy Time-Particle interpretation Of Quantum Mechanics is introduced as an interpretation of Quantum Mechanics [4],[5],[6]. Here, we show how to compute the function associated to Fuzzy time.

In previous article (Computing Fuzzy Time Function) the fuzzy function associated to the instants of time is computed, as it is introduced in Fuzzy Time-Particle interpretation of Quantum Mechanics. Here, we show this computation concludes time is asymmetrical. Also, some other results of the studied paper are discussed.

This paper is a response to Val Plumwoods call for writers to engage in ‘the struggle to think differently’. Specifically, she calls writers to engage in the task of opening up an experience of nature as powerful and as possessing agency. I argue that a critical component of opening up who or what can be understood as possessing agency involves challenging the conception of time as linear, externalised and absolute, particularly in as much as it has guided Western (...) conceptions of process, change and invention. I explore this through anthropologist Carol Greenhouse's claim that social conceptions of time can be read as theories of agency. Thus, in seeking to respond to Plumwood’s call to think differently, the question becomes: what kind of writing would enable a fundamental re-thinking of agency without, however, ignoring the way Western notions of agency have been shaped by linear accounts of time? I look to Jacques Derrida's work as one example. I first locate the possibility of re-writing time and agency in the experiential aspects of his writing, which I argue interrupt both the reader’s sense of agency and linear models of reading. But further, I connect Derrida’s work directly with Plumwood’s by examining how his deconstruction of the Western concept of invention may enable another account of creative change that could reshape what counts as ‘agency’ within the Anthropocene. (shrink)

Visual literacy has long been important as a way of reading images beyond mimetic illustration. It also allows the reader to tap into a logic of representation in order to create different representations and narratives. In this essay I argue that images provide crucial temporal complexity to the study of narrative, with particular resonances for narrative historiography. The complex temporality of the image, especially the graphic narrative or comic, points toward a historical time which may be neither linear (...) nor causal. Moreover, images demand interaction from the reader, but offer many avenues of interpretation, suggesting that the reader pay attention to their own constructions of meaning and practices of narrativizing. -/- La litéracie visuelle a longtemps été importante comme façon de lire les images hors de simple illustration mimétique. Elle permet aussi le lecteur d’entrer dans une logique de représentation pour créer des différentes représentations et des différentes narrations. Dans cet essai, je soutiens que les images fournissent une cruciale complexité temporale pour l’étude des narrations, avec valence particuliaire pour l’historiographie narrative. La temporalité complexe de l’image, surtout la narration graphique ou bande dessinée, indique une temporalité historique qui sera peut-être ni linéaire, ni causative. Par ailleurs, les images exigent l’intéraction du lecteur, et au même temps ils offrent plusieurs avenues d’interprétation, ce qui attire l’attention du lecteur à ses propres habitudes de lecture et à ses propres narrations construits. (shrink)

In this paper we have shown how the consideration of a chaotic mechanics supplies a redefinition of special-relativistic space-time. In particular chaotic time means no possibility of defining temporal ordering and implies a breakdown of causality. The new chaotic transformations among "undetermined" space-time coordinates are no more linear and homogeneous. The principles of inertia and of energy-impulse conservation are no longer well defined and in any case no more invariant.

While social geographers have convincingly made the case that space is not an external constant, but rather is produced through inter-relations, anthropologists and sociologists have done much to further an understanding of time, as itself constituted through social interaction and inter-relation. Their work suggests that time is not an apolitical background to social life, but shapes how we perceive and relate to others. For those interested in exploring issues such as identity, community and difference, this suggests that attending (...) to how temporal discourses are utilised in relation to these issues is a key task. This article seeks to contribute to an expansion of the debate about time and sociality by contributing an analysis of a variety of ways in which Gloria Anzaldúa utilises temporal concepts as part of her work of rethinking social identity and community. In particular, I suggest that in contesting homogeneous identity, Anzaldúa also implicitly contests linear temporal frameworks. Further, in creating new frameworks for identity, I suggest the possibility of discerning an alternative approach to time in her work that places difference at the heart of simultaneity. I suggest that the interconnection between concepts of time and community within Anzaldúa’s work indicates, more broadly, that attempts to rework understandings of relationality must be accompanied by reworked accounts of temporality. (shrink)

A new model of the development of temporal concepts is described that assumes that there are substantial changes in how children think about time in the early years. It is argued that there is a shift from understanding time in an event-dependent way to an event-independent understanding of time. Early in development, very young children are unable to think about locations in time independently of the events that occur at those locations. It is only with development (...) that children begin to have a proper grasp of the distinction between past, present, and future, and represent time as linear and unidirectional. The model assumes that although children aged 2 to 3 years may categorize events differently depending on whether they lie in the past or the future, they may not be able to understand that whether an event is in the past or future is something that changes as time passes and varies with temporal perspective. Around 4 to 5 years, children understand how causality operates in time, and can grasp the systematic relations that obtain between different locations in time, which provides the basis for acquiring the conventional clock and calendar system. (shrink)

This paper proposes an abstract mathematical frame for describing some features of biological time. The key point is that usual physical (linear) representation of time is insufficient, in our view, for the understanding key phenomena of life, such as rhythms, both physical (circadian, seasonal …) and properly biological (heart beating, respiration, metabolic …). In particular, the role of biological rhythms do not seem to have any counterpart in mathematical formalization of physical clocks, which are based on frequencies (...) along the usual (possibly thermodynamical, thus oriented) time. We then suggest a functional representation of biological time by a 2-dimensional manifold as a mathematical frame for accommodating autonomous biological rhythms. The “visual” representation of rhythms so obtained, in particular heart beatings, will provide, by a few examples, hints towards possible applications of our approach to the understanding of interspecific differences or intraspecific pathologies. The 3- dimensional embedding space, needed for purely mathematical reasons, allows to introduce a suitable extra-dimension for “representation time”, with a cognitive significance. (shrink)

In its etymology and in popular discourse, the term ‘avant-garde’ is commonly associated with a future temporality, while in art-historical discourse, it represents a tradition of modernist innovation, periodised as ‘historical avant-garde’ and ‘neo-avant-garde’. Since this historical periodisation was first established in the 1950s, the avant-garde’s futurity has been repeatedly disputed, bringing the very notion of an avant-garde into question. This thesis takes as its starting point the predicament of ‘an avant-garde after the avant-garde’ as a means to investigate the (...) philosophico-political implications of a historical temporality marked by ‘afterness’. Writing in critical dialogue with scholarship that has articulated the avant-garde as a notion of historical time, the thesis modifies the parameters of this scholarship by foregrounding the category of historicism, and by reformulating the avant-garde as a notion that both resists and inhabits historical periodisation. As a study at the disciplinary intersection of comparative literature and critical theory, 'Ahead of its Time' proceeds via close readings of selected theories of the avant-garde (German literary scholar Peter Bürger’s foundational Theory of the Avant-Garde in the 1970s; British art theorist John Roberts’ formulation of a ‘suspensive avant-garde’ in the twenty-first century; and the intellectual debates of the Italian circle Neoavanguardia in the 1960s), while also mobilising the critical resources available in the thought of Walter Benjamin. Through a non-linear, comparativist critical analysis that discusses these theories in, and as, a Benjaminian constellation, the thesis proposes the avant-garde as a relational, indexical category that is constitutively split between historical continuity and historical rupture. In this manner, 'Ahead of its Time' revisits the broader question of mediation between universality and particularity, and by recasting it in temporal terms, it advocates a chronopolitics of singularity, whereby the avant-garde’s split between continuity and rupture also reveals the ethically-necessary relationship between self-determination and contingency. (shrink)

This study explores the relationships of negative affectivity with two frequently studied outcome variables job performance and turnover intentions. Conventional wisdom holds that negative affectivity has a harmful impact on both job performance and intentions to leave; however, we propose a more nuanced perspective using empirical and theoretical arguments (e.g., self-regulation theory) to highlight the functional effects of negative affectivity. To test our hypotheses, we collected self-reported and supervisor-reported data from seven organizations in Pakistan. The findings based on data collected (...) from 280 employees show that while negative affectivity is detrimental for job performance, this effect is mitigated as negative affectivity increases. It further shows that the linear negative main effect of negative affectivity on job performance is more pronounced when employees experience less time-related work stress. Finally, the curvilinear relationship between negative affectivity and turnover intentions is moderated by time-related work stress. The relationship has a U shape at high levels of time-related work stress, whereas at low levels it has an inverted U shape. A discussion of the limitations, future research, and implications for theory building and practice conclude the article. (shrink)

Can green growth policies help protect the environment while keeping the industry growing and infrastructure expanding? The City of Kitakyushu, Japan, has actively implemented eco-friendly policies since 1967 and recently inspired the pursuit of sustainable development around the world, especially in the Global South region. However, empirical studies on the effects of green growth policies are still lacking. This study explores the relationship between road infrastructure development and average industrial firm size with air pollution in the city through the Environmental (...) Kuznets Curve (EKC) hypothesis. Auto-Regressive Distributed Lag (ARDL) and Non-linear Auto-Regressive Distributed Lag (NARDL) methods were applied on nearly 50-years’ time series data, from 1967 to 2015. The results show that the shape of the EKC of industrial growth, measured by average firm size, depends on the type of air pollution: inverted N-shaped relationships with NO2 and CO, and the U-shaped relationships with falling dust particle and Ox. Regarding infrastructure development, on the one hand, our analysis shows a positive effect of road construction on alleviating the amount of falling dust and CO concentration. On the other hand, the emissions of NO2 and Ox are shown to rise when plotted against road construction. The decline of CO emission, when plotted against both industrial growth and road development, indicates that the ruthlessness of the local government in pursuing green growth policies is effective in this case. However, the story is not straightforward when it comes to other air pollutants, which hint at limits in the current policies. The case of Kitakyushu illustrates the complex dynamics of the interaction among policy, industry, infrastructure, and air pollution. It can serve as an important reference point for other cities in the Global South when policies are formed, and progress is measured in the pursuit of a green economy. Finally, as an OECD SDGs pilot city and the leading Asian green-growth city, policymakers in Kitakyushu city are recommended to revise the data policy to enhance the findability and interoperability of data as well as to invest in the application of big data. (shrink)

This project begins with the selective sensory experience suggested by lngarden followed by an insensitivity he insinuates to digestive processes. This is juxtaposed with an oenological explanation of phenomenal sedimentation offered by Jean-Luc Marion. It compares the dynamics of time in the former with the those of wine in the latter. Emphasis is given to lngarden's insinuation of time as fluid, liquid, or aquatic. It revisits Ingarden's physiological explanations of partially-open systems by way of the bilateral excretion and (...) absorption of semi-permeable cellular membranes. The importance he eventually grants to inner secretion is considered alongside perspiration and salivation collateral to skin and membranes. It suggests that Ingarden's interest in thermoregulation, partial permeation, and secretion invites alternative conceptions of temporal consciousness in physiological experiences, beyond sequential and linear clock-time and/or Kantian intuition. Temporality experienced as temperance becomes discernible at a permeable point in which the sedimentation of Husserl, the maturation of Marion, and the fluidity and secretion of Ingarden mix and mingle into the taste of time. (shrink)

This study considers the problem of using approximate way for realizing the neural supervisor for nonlinear multivariable systems. The Nonlinear Autoregressive-Moving Average (NARMA) model is an exact transformation of the input-output behavior of finite-dimensional nonlinear discrete time dynamical organization in a hoodlum of the equilibrium state. However, it is not convenient for intention of adaptive control using neural networks due to its nonlinear dependence on the control input. Hence, quite often, approximate technique are used for realizing the neural supervisor (...) to overcome computational complexity. In this study, we introduce two classes of ideal which are approximations to the NARMA model and which are linear in the control input, namely NARMA-L1 and NARMA-L2. The latter fact substantially simplifies both the theoretical breakdown as well as the practical request of the controller. Extensive imitation studies have shown that the neural controller designed using the proposed approximate models perform very well and in dozens situation even better than an approximate controller designed using the exact NARMA Model. In view of their mathematical tractability as well as their fate in simulation studies, a matter is made in this study that such approximate input-output paragon warrants a detailed study in their own right. (shrink)

Drawing from Koselleck’s Begriffsgeschichte, this paper explores how and why China’s linguistic revolutions took place alongside the country’s quest for scientific, economic and political modernity. When discussing the contributions made by translation of Western texts to China’s modernization process, scholars have been focusing on content issues. They have overlooked how translation, _through effecting changes in the Chinese language, has transformed the Chinese people’s Weltanschauung at a fundamental level—only with that transformation did China become truly ready for modernity_. For example, tenses (...) did not exist in classical Chinese. But given the prominence of the temporal dimension in Western languages, time markers were gradually invented for the Chinese language as intellectuals engaged in translations of Western texts. These time markers brought a linear concept of time to Chinese society, and only with that new way of experiencing time could “the modern” become conceivable for the Chinese people. I examine how the _time consciousness gave the Chinese a new concept of the future and laid the path for China’s modernization_, and elaborate the subject at hand via an analysis of two waves of temporalization of the Chinese language. (shrink)

philosophies of geming from Yijing until the 20th century; includes a comparison of the semantic changes of “revolution” and geming when both were transplanted from a cyclical to a linear temporal framework; also includes a brief discussion of the philosophical and historical continuities between the French Revolution and the Cultural Revolution.

This paper aims to show that Lessing develops in his aesthetics a pre-Kantian philosophy of consciousness. The concept of virtuality that the german writer puts forward in his essay Laocoon implies an interweaving of temporal dimensions similar to the threefold temporal synthesis described by Kant in the transcendental deduction of the Critique of Pure Reason. But whereas Kant thematizes an a priori of consciousness, Lessing is in search of an a priori of plastic art. It will be seen that perfect (...) sculpture presupposes the choice of that moment in time which can open the imagination to the past and the future in a way that enriches the present by transforming it into a "pregnant moment". The final aim of the article is to trace the genesis of the concept of simultaneity of temporal dimensions presupposed by the idea of the pregnant moment, and its implications for the idea of the temporality of consciousness. (shrink)

At a first glance, and even at a second one, it seems that if time is linear the threat of determinism is more severe than if time is branching, since in the latter case the future is open in a way it is not in the former one where, so to speak, there exists only one branch – one future. In this paper, I want to give a 'third glance' at this claim. I acknowledge that such a (...) claim is intuitive (this is the first glance) and that it is also meaningfully and interestingly defended in recent literature where branching time is either said to imply indeterminism or at least to be compatible with it. To try to make my third glance as precise and as fleshed out as possible, I shall first concentrate on what 'branching' is or could be, and I shall discuss various versions and interpretations of this view. I shall then (more quickly) turn my attention to what determinism is or could be, and I will distinguish three (well-known) kinds of it – focusing mainly on 'metaphysical determinism'. Having these tools in hand, I will then ask (and answer) the question whether branching time helps with avoiding determinism or not. As we shall see, it is incorrect to think that under the branching hypothesis the threat of determinism is any smaller – rather, I will argue that if one has reasons to think that determinism is true, branching will not help, and that the issue of branching versus linear time is then actually neutral with respect to the question whether determinism or indeterminism is true. (shrink)

A theoretical framework is provided to explore teleonomy as a problem of self-causation, distinct from upward, downward and reticulate causation. Causality theories in biology are often formulated within hierarchy theories, where causation is conceptualized as running up or down the rungs of a ladder-like hierarchy or, more recently, as moving between multiple hierarchies. Research on the genealogy of cosmologies demonstrates that in addition to hierarchy theories, causality theories also depend upon ideas of time. This paper explores the roots and (...) impact of both time and hierarchy thinking on causal reasoning in the evolutionary sciences. Within evolutionary biology, the Neodarwinian synthesis adheres to a linear notion of time associated with linear hierarchies that portray upward causation. Eco-evo-devo schools recognize the importance of downward causation and consequently receive resistance from the standard view because downward causation is sometimes understood as backward causation, considered impossible by adherents of a linear time model. In contrast, downward causation works with a spatial or presential time notion. Hybridization, lateral gene transfer, infective heredity, symbiosis and symbiogenesis require recognition of reticulate causation occurring in both space and time, or spacetime, between distinct and interacting ontological hierarchies. Teleonomy is distinct from these types of causation because it invokes the problem of self-causation. By asking how the focal level in a hierarchy can persist through time, self-causation raises philosophical concerns on the nature of duration, identity and individuality. (shrink)

Propounded in relation to a peculiar mode in the view of an oscillating or cyclic universe, the concept of Return of Power, or of ontic recurrence as further increase in ontic Power signifies the determination of the existing entity according to its own selective recurrence as dialectically exceeding a previous status. Based thus upon the assumption that the actual ontological existence of the entity lies in its own potentiated recurrence (for it is maintained that only what is able to return (...) to itself as potentiated signifies actual ontological existence) and that an ontic eternal return can only occur in terms of further Power, this notion embodies the culminating phase within change as an ultimate overcoming of a previous ontic status or situation respecting the category Power as a primary criterion within a constantly increasing Real (as Power, precisely). An ontic selective ultimate event respecting becoming as a general increment of the Real, this concept exceeds both the ontic dispersion in nothingness of the linear time and the identical ontic repeatability of the Eternal Return of the Same, the latter insofar as asserting the perennial return of man's own status of powerlessness, and as rendering accordingly impossible any actual (dialectical) transition to a well-defined superior ontic phase. (shrink)

Abstract: In the last decade, an urban legend about “glitches in the matrix” has become popular. As it is typical for urban legends, there is no evidence for most such stories, and the phenomenon could be explained as resulting from hoaxes, creepypasta, coincidence, and different forms of cognitive bias. In addition, the folk understanding of probability does not bear much resemblance to actual probability distributions, resulting in the illusion of improbable events, like the “birthday paradox”. Moreover, many such stories, even (...) if they were true, could not be considered evidence of glitches in a linear-time computer simulation, as the reported “glitches” often assume non-linearity of time and space—like premonitions or changes to the past. Different types of simulations assume different types of glitches; for example, dreams are often very glitchy. Here, we explore the theoretical conditions necessary for such glitches to occur and then create a typology of so-called “GITM” reports. One interesting hypothetical subtype is “viruses in the matrix”, that is, self-replicating units which consume computational resources in a manner similar to transposons in the genome, biological and computer viruses, and memes. (shrink)

We all know that problems of transportation and allocation appear frequently in practical life. We need to transfer materials from production centers to consumption centers to secure the areas’ need for the transported material or allocate machines or people to do a specific job at the lowest cost, or in the shortest time. We know that the cost factors Time is one of the most important factors that decision-makers care about because it plays an “important” role in many (...) of the practical and scientific issues that we face in our daily lives, and we need careful study to enable us to avoid losses. For this, the linear programming method was used, which is one of the research methods. Processes, where the problem data is converted into a linear mathematical model for which the optimal solution achieves the desired goal. Since these models are linear models, we can solve them using the direct simplex method and its modifications, but the specificity that these models enjoy has enabled scholars and researchers to find special methods that help us in obtaining the optimal solution. Whatever the method used, the goal is to determine the number of units transferred from any material from production centers to consumption centers, or to allocate a machine or person to do a job so that the cost or time is as short as possible. These issues were addressed according to classical logic, but the ideal solution was a specific value appropriate to the conditions in which the data was collected and does not take into account the changes that may occur in the work environment. In order to obtain results that are more accurate and enjoy a margin of freedom, we present in this book a study of transport issues and neutrosophic allocation issues and some methods for solving them. By neutrosophic issues we mean These are the problems in which the data are neutrosophic values, i.e. the required quantities and the available quantities. (shrink)

To counter a general belief that all the paradoxes stem from a kind of circularity (or involve some self--reference, or use a diagonal argument) Stephen Yablo designed a paradox in 1993 that seemingly avoided self--reference. We turn Yablo's paradox, the most challenging paradox in the recent years, into a genuine mathematical theorem in Linear Temporal Logic (LTL). Indeed, Yablo's paradox comes in several varieties; and he showed in 2004 that there are other versions that are equally paradoxical. Formalizing these (...) versions of Yablo's paradox, we prove some theorems in LTL. This is the first time that Yablo's paradox(es) become new(ly discovered) theorems in mathematics and logic. (shrink)

In this paper, modelling design and analysis of a triple inverted pendulum have been done using Matlab/Script toolbox. Since a triple inverted pendulum is highly nonlinear, strongly unstable without using feedback control system. In this paper an optimal control method means a linear quadratic regulator and pole placement controllers are used to stabilize the triple inverted pendulum upside. The impulse response simulation of the open loop system shows us that the pendulum is unstable. The comparison of the closed loop (...) impulse response simulation of the pendulum with LQR and pole placement controllers results that both controllers have stabilized the system but the pendulum with LQR controllers have a high overshoot with long settling time than the pendulum with pole placement controller. Finally the comparison results prove that the pendulum with pole placement controller improve the stability of the system. (shrink)

The linear conception of time, firstly of a Jewish-Christian matrix and then of a positivist one, is now constitutive of the entire Western world, but the advent of the Covid-19 pandemic has led humanity to reflect on a fact that seemed to have been expunged from the contemporary man’s consciousness: the unexpected. The unimaginable spread of the virus has caused mankind to waver, it has also led to an immediate social reaction and a reflection on the history of (...) the world, which has sometimes taken on the characteristics of the circular concept of time typical of the East. Starting from this consideration, the contribution aims first of all to show how the pandemic has imposed a radical rethinking of the human story, which perpetually unfolds between the two poles of krísis and kairós. The article therefore aims to investigate the anthropological effects that the pandemic has brought into the lives and societies of the women and men of our time through a critical analysis of the editorial and scientific contributions produced during the pandemic. The aim of the work will be to bring out how scientific and humanistic culture, through the cathartic dimension that is constitutive of culture, has taken on a soteriological value and mission in our times. (shrink)

Dans la philosophie contemporaine, la mémoire n’est plus un instrument qui apprend des évènements de manière passive. Ici, on parlera de la mémoire qu’une personne possède quand elle se souvient de sa propre vie ou d’un moment spécifique. Ce concept, un des plus anciens de la psychologie cognitive, s’appelle mémoire autobiographique. Grâce à cette pertinente interprétation d’un concept plus vivant de mémoire dans la science, la littérature et la philosophie de notre temps, on se demandera si, à travers son activité, (...) elle est dépendante d’un concept d’une temporalité linéaire ou si en fait sa vivacité lui permet de créer un temps propre. Quelques auteurs ont essayé de répondre à ce problème-là et ici on traitera de trois: Henri Bergson, Bertrand Russell et John Campbell, ce dernier étant un philosophe contemporain, en essayant d’établir les liens parmi les trois, avec pour but la mise de lumière des questions et des réponses qui ont survécu la mort des deux premiers auteurs mentionnés. À travers cette recherche, on se rendra compte que si le concept de mémoire était auparavant plus spécifiquement étudié toujours en connexion avec le concept d’image, dans la tradition analytique elle de plus en plus est mise à coté de la notion moderne d’identité personnelle. Toutefois, ce qui reste commun est l’effort de penser le souvenir au delà de la vie pratique; notamment en tant qu’une faculté psychique qui oriente tous nos choix et notre appréhension du monde et qui toujours semble échapper la dualité schématique entre circularité et linéarité temporelle, déjà mise en question dans les années 1990. (shrink)

Gödel's Philosophical Legacy Kurt Gödel's contributions to philosophy extend beyond his incompleteness theorems. He engaged deeply with the work of other philosophers, including Immanuel Kant and Edmund Husserl, and explored topics such as the nature of time, the structure of the universe, and the relationship between mathematics and reality. Gödel's philosophical writings, though less well-known than his mathematical work, offer rich insights into his views on the nature of existence, the limits of human knowledge, and the interplay between the (...) finite and the infinite. His work continues to inspire and challenge philosophers, mathematicians, and scientists, inviting them to explore the profound and often enigmatic questions at the heart of human understanding. -/- Kurt Gödel's Broader Contributions to Philosophy Kurt Gödel, while primarily known for his monumental incompleteness theorems, made significant contributions that extended beyond the realm of mathematical logic. His philosophical pursuits deeply engaged with the works of eminent philosophers like Immanuel Kant and Edmund Husserl. Gödel's explorations into the nature of time, the structure of the universe, and the relationship between mathematics and reality reveal a profound and multifaceted intellectual legacy. -/- Engagement with Immanuel Kant Gödel held a deep interest in the philosophy of Immanuel Kant. He admired Kant's critical philosophy, particularly the distinction between the noumenal and phenomenal worlds. Kant posited that human experience is shaped by the mind’s inherent structures, leading to the conclusion that certain aspects of reality (the noumenal world) are fundamentally unknowable. Gödel’s incompleteness theorems echoed this Kantian theme, illustrating the limits of formal systems in capturing the totality of mathematical truth. Gödel believed that mathematical truths exis t independently of human thought, akin to Kant's noumenal realm. This philosophical alignment provided a robust foundation for Gödel's Platonism, which asserted the existence of mathematical objects as real, albeit abstract, entities. -/- Influence of Edmund Husserl Gödel was also profoundly influenced by Edmund Husserl, the founder of phenomenology. Husserl's phenomenology emphasizes the direct investigation and description of phenomena as consciously experienced, without preconceived theories about their causal explanation. Gödel saw Husserl's work as a pathway to bridge the gap between the abstract world of mathematics and concrete human experience. Husserl's ideas about the structures of consciousness and the intentionality of thought resonated with Gödel's views on mathematical intuition. Gödel believed that human minds could access mathematical truths through intuition, a concept that draws on Husserlian phenomenological methods. -/- The Nature of Time and the Universe Gödel's philosophical inquiries extended to the nature of time and the structure of the universe. His collaboration with Albert Einstein at the Institute for Advanced Study led to the development of the "Gödel metric" in 1949. This solution to Einstein's field equations of general relativity described a rotating universe where time travel to the past was theoretically possible. Gödel's model challenged conventional notions of time and causality, suggesting that the universe might have a more intricate structure than previously thought. Gödel's exploration of time was not just a mathematical curiosity but a profound philosophical statement about the nature of reality. He questioned whether time was an objective feature of the universe or a construct of human consciousness. His work hinted at a timeless realm of mathematical truths, aligning with his Platonist view. -/- Mathematics and Reality Gödel's philosophical outlook extended to the broader relationship between mathematics and reality. He believed that mathematics provided a more profound insight into the nature of reality than empirical science. For Gödel, mathematical truths were timeless and unchangeable, existing independently of human cognition. This perspective led Gödel to critique the materialist and mechanistic views that dominated 20th-century science and philosophy. He argued that a purely physicalist interpretation of the universe failed to account for the existence of abstract mathematical objects and the human capacity to understand them. Gödel's philosophy suggested a more integrated view of reality, where both physical and abstract realms coexist and inform each other. -/- Gödel's Exploration of Time Kurt Gödel, one of the most profound logicians of the 20th century, ventured beyond the confines of mathematical logic to explore the nature of time. His inquiries into the concept of time were not merely theoretical musings but were grounded in rigorous mathematical formulations. Gödel's exploration of time challenged conventional views and opened new avenues of thought in both physics and philosophy. -/- Gödel and Einstein Gödel’s interest in the nature of time was significantly influenced by his friendship with Albert Einstein. Both were faculty members at the Institute for Advanced Study in Princeton, where they engaged in deep discussions about the nature of reality, time, and space. Gödel's exploration of time culminated in his solution to Einstein's field equations of general relativity, known as the Gödel metric. -/- The Gödel Metric In 1949, Gödel presented a model of a rotating universe, which became known as the Gödel metric. This solution to the equations of general relativity depicted a universe where time travel to the past was theoretically possible. Gödel’s rotating universe contained closed timelike curves (CTCs), paths in spacetime that loop back on themselves, allowing for the possibility of traveling back in time. The Gödel metric posed a significant philosophical challenge to the conventional understanding of time. If time travel were possible, it would imply that time is not linear and absolute, as commonly perceived, but rather malleable and subject to the geometry of spacetime. This raised profound questions about causality, the nature of temporal succession, and the very structure of reality. -/- Philosophical Implications Gödel’s exploration of time extended beyond the mathematical implications to broader philosophical inquiries: Nature of Time: Gödel questioned whether time was an objective feature of the universe or a construct of human consciousness. His work suggested that our understanding of time as a linear progression from past to present to future might be an illusion, shaped by the limitations of human perception. -/- Causality and Free Will: The existence of closed timelike curves in Gödel’s model raised questions about causality and free will. If one could travel back in time, it would imply that future events could influence the past, potentially leading to paradoxes and challenging the notion of a deterministic universe. -/- Temporal Ontology: Gödel's work contributed to debates in temporal ontology, particularly the debate between presentism (the view that only the present exists) and eternalism (the view that past, present, and future all equally exist). Gödel’s rotating universe model seemed to support eternalism, suggesting a block universe where all points in time are equally real. Philosophy of Science: Gödel’s exploration of time had implications for the philosophy of science, particularly in the context of understanding the limits of scientific theories. His work underscored the importance of considering philosophical questions when developing scientific theories, as they shape our fundamental understanding of concepts like time and space. -/- Legacy Gödel’s exploration of time remains a significant and controversial contribution to both physics and philosophy. His work challenged established notions and encouraged deeper inquiries into the nature of reality. Gödel’s rotating universe model continues to be a topic of interest in theoretical physics and cosmology, inspiring new research into the nature of time and the possibility of time travel. In philosophy, Gödel’s inquiries into time have prompted ongoing debates about the nature of temporal reality, the relationship between mathematics and physical phenomena, and the limits of human understanding. His work exemplifies the intersection of mathematical rigor and philosophical inquiry, demonstrating the profound insights that can emerge from such an interdisciplinary approach. The Temporal Ontology of Kurt Gödel Kurt Gödel's profound contributions to mathematics and logic extend into the realm of temporal ontology—the philosophical study of the nature of time and its properties. Gödel's insights challenge conventional perceptions of time and suggest a more intricate, layered understanding of temporal reality. This essay explores Gödel's contributions to temporal ontology, particularly through his engagement with relativity and his philosophical reflections. -/- Gödel's Rotating Universe One of Gödel’s most notable contributions to temporal ontology comes from his work in cosmology, specifically his solution to Einstein’s field equations of general relativity, known as the Gödel metric. Introduced in 1949, the Gödel metric describes a rotating universe with closed timelike curves (CTCs). These curves imply that, in such a universe, time travel to the past is theoretically possible, presenting a significant challenge to conventional views of linear, unidirectional time. -/- Implica tions for Temporal Ontology Gödel's rotating universe model has profound implications for our understanding of time: Eternalism vs. Presentism: Gödel’s model supports the philosophical stance known as eternalism, which posits that past, present, and future events are equally real. In contrast to presentism, which holds that only the present moment exists, eternalism suggests a "block universe" where time is another dimension like space. Gödel’s rotating universe, with its CTCs, reinforces this view by demonstrating that all points in time could, in principle, be interconnected in a consistent manner. Non-linearity of Time: The possibility of closed timelike curves challenges the idea of time as a linear sequence of events. In Gödel’s universe, time is not merely a straight path from past to future but can loop back on itself, allowing for complex interactions between different temporal moments. This non-linearity has implications for our understanding of causality and the nature of temporal succession. Objective vs. Subjective Time: Gödel’s work invites reflection on the distinction between objective time (the time that exists independently of human perception) and subjective time (the time as experienced by individuals). His model suggests that our subjective experience of a linear flow of time may not correspond to the objective structure of the universe. This raises questions about the relationship between human consciousness and the underlying temporal reality. -/- Gödel and Philosophical Reflections on Time Gödel’s engagement with temporal ontology was not limited to his cosmological work. He also reflected deeply on philosophical questions about the nature of time and reality, drawing on the ideas of other philosophers and integrating them into his own thinking. Kantian Influences: Gödel was influenced by Immanuel Kant’s distinction between the noumenal world (things as they are in themselves) and the phenomenal world (things as they appear to human observers). Gödel’s views on time echoed this distinction, suggesting that our perception of time might be a phenomenon shaped by the limitations of human cognition, while the true nature of time (the noumenal aspect) might be far more complex and non-linear. Husserlian Phenomenology: Gödel’s interest in Edmund Husserl’s phenomenology also informed his views on time. Husserl’s emphasis on the structures of consciousness and the intentionality of thought resonated with Gödel’s belief in the importance of intuition in accessing mathematical truths. Gödel’s reflections on time incorporated a phenomenological perspective, considering how temporal experience is structured by human consciousness. Mathematical Platonism: Gödel’s Platonist views extended to his understanding of time. Just as he believed in the independent existence of mathematical objects, Gödel saw time as an objective entity with a structure that transcends human perception. His work on the Gödel metric can be seen as an attempt to uncover this objective structure, revealing the deeper realities that underlie our experience of time. (shrink)

When this article was first planned, writing was going to be exclusively about two things - the origin of life and human evolution. But it turned out to be out of the question for the author to restrict himself to these biological and anthropological topics. A proper understanding of them required answering questions like “What is the nature of the universe – the home of life – and how did it originate?”, “How can time travel be removed from fantasy (...) and science fiction, to be made scientific and practical?”, and “How can the proposed young age of genus Homo be made to actually be reasonable – when simply stating it would be solid ground for instant rejection and dismissal?” The result is that the article also talks about subjects like Artificial Intelligence, General Relativity, and cosmology. -/- From where did life originate? God? Evolution? Panspermia? If the tendency of humans and scientists to regard undiscovered science as pseudoscience can be overcome, Einstein gave another alternative to consider when he introduced General Relativity. Time isn’t linear – progressing in a straight line from past to present to future. That assumption ignores Relativity which states that space AND TIME are curved. Where did life and the genetic code come from? Can the answer build AI? -/- The first question can be answered by the section of this article titled SETI, Evolution, and Time which says life (possibly multicellular and intelligent) and the genetic code came from humans acquiring knowledge of these things over the centuries, then applying that knowledge – via terraforming, accumulation of raw materials like amino acids and nucleic acids, genetic engineering - to a time in the past when life didn’t exist. From that origin, life evolved through innumerable mutations and adaptations, with humans once again acquiring knowledge of it in cyclic (nonlinear) time. -/- The second question is answered by saying artificial intelligence (AI) as the product of life is only half of the equation. The other half refers to Relativity’s curved space-time and violation of the notion that time always travels from past to future. We have always lived in an artificially intelligent, non-probabilistic universe where everything in time and space is connected into one thing by quantum entanglement – making the brain and genes products of binary-digit activity or artificial intelligence (life is not merely dependent on biology’s “lock and key” mechanisms but also possesses AI). -/- The earliest documented representative of the genus Homo is Homo habilis, which evolved around 2.8 million years ago. Scientists used to believe there was a straight line from H. habilis to us, Homo sapiens. This article will use the “advanced” waves loved by Physics Nobel laureate Richard Feynman, view the history of science through the lens of Conic Sections applied to Relativity’s curved space-time, and incorporate the necessity of so-called imaginary time * – popularized by Prof. Stephen Hawking. While the evolutionary proposals are more in agreement with this early straight line than with modern theories, Albert Einstein’s General Relativity is used to transform the straight line into a curved line, ultimately concluding that Homo habilis (H. habilis) originated only (and unbelievably, as far as today’s science and technology is concerned) ~250,000 years ago. Other branches and dead ends of Homo – e.g. Neanderthals – are the result of mutations and adaptations, with the resultant modifications to anatomy and physiology. The surprisingly young age of H. habilis allows nearly 200,000 years for habilis, or one of its descendants, to reach Australia … if this country’s indigenous Aboriginal population did, as claimed, reach this “island continent” 60,000 years ago. -/- * The ultraviolet catastrophe, also called the Rayleigh–Jeans catastrophe, is a failure of classical physics to predict observed phenomena: it can be shown that a blackbody - a hypothetical perfect absorber and radiator of energy - would release an infinite amount of energy, contradicting the principles of conservation of energy and indicating that a new model for the behaviour of blackbodies was needed. At the start of the 20th century, physicist Max Planck derived the correct solution by making some strange (for the time) assumptions. In particular, Planck assumed that electromagnetic radiation can only be emitted or absorbed in discrete packets, called quanta. Albert Einstein postulated that Planck's quanta were real physical particles (what we now call photons), not just a mathematical fiction. From there, Einstein developed his explanation of the photoelectric effect (when quanta or photons of light shine on certain metals, electrons are released and can form an electric current). So it appears entirely possible that another supposed mathematical trickery (imaginary time and the y-axis of Wick rotation) will find practical application in the future. -/- The article includes mathematical references to cosmology (spoiler alert – you’ll read about things like Vector-Tensor-Scalar Geometry, topology, the “eternal present”, Einstein’s Unified Field, the inverse-square law, and there being no Big Bang and no multiverse - but there will also be no equations). -/- The other subheadings in this essay are – -/- NONLINEAR TIME AND ELECTRICAL ENGINEERING (about a 2009 electrical engineering experiment at America’s Yale University, and cosmic wormholes) -/- BITS AND TOPOLOGY (base-2 maths aka Binary digiTS, Mobius strips, and figure-8 Klein bottles) -/- WICK ROTATION, CAUSALITY, AND UNITING TIME (do past, present and future co-exist in an “eternal present”?) -/- DIGITAL BRAIN, DIGITAL UNIVERSE (if the brain and the universe are ultimately composed of binary digits, we'll someday be able to do the same things with the brain and universe that we now do with computers) -/- PROPOSAL: HUMAN AND ANIMAL INSTINCTS ARE THE RESULT OF THE UNIVERSE BEING UNIFIED BY BINARY DIGITS (AND TOPOLOGY) (If everything in the universe is ultimately composed of electronic BITS, then the universe must possess Artificial Intelligence - some prefer the term Cosmic Consciousness) -/- INFORMATION THEORY CONQUERS A RED GIANT (preserving Earth by keeping the Sun near today’s level of activity forever). 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Clearing algorithms are at the core of modern payment systems, facilitating the settling of multilateral credit messages with (near) minimum transfers of currency. Traditional clearing procedures use batch processing based on MILP - mixed-integer linear programming algorithms. The MILP approach demands intensive computational resources; moreover, it is also vulnerable to operational risks generated by possible defaults during the inter-batch period. This paper presents TORC3 - the Token-Ring Clearing Algorithm for Currency Circulation. In contrast to the MILP approach, TORC3 is (...) a real time heuristic procedure, demanding modest computational resources, and able to completely shield the clearing operation against the participating agents’ risk of default. (shrink)

A hydraulic actuator is a system that can provide a large power amplification in industries and factories. In this paper, mass lifter hydraulic actuator system to a desired displacement is designed using optimal control theory. MPC and LQR controllers are used to design and improve the performance of the hydraulic actuator. The hydraulic actuator system is linearized using Taylor series linearization method and designed using Matlab/Simulink tool. Comparison of the hydraulic actuator with MPC and LQR controllers using three desired output (...) displacement signals (step, sine wave and white noise) is done and simulation results have been analyzed successfully. For the desired step input signal, the hydraulic actuator system with MPC controller lower rise and settling times with small percentage overshoot as compared to the hydraulic actuator system with LQR controller and for the desired sine wave signal, the hydraulic actuator system with MPC controller almost track the desired sine wave input signal correctly as compared to the hydraulic actuator system with LQR controller. While for the desired white noise input signal, the hydraulic actuator system with MPC controller have tried to track the desired white noise input signal with small variation in amplitude as compared to the hydraulic actuator system with LQR controller. Finally the comparative simulation results prove the effectiveness of the proposed hydraulic actuator system with MPC controller. (shrink)