Pretende mostrarse en este artículo que la física clásica1 no deja lugar para el indeterminismo, tal como Laplace proclamó hace casi dos siglos. No se discute aquí la validez de la física clásica; el objetivo es mostrar que ésta es un modelo del mundo determinista, y si el mundo responde a este modelo o no es otro tema. Algunos autores, como Popper o Prigogine, han intentado rebatir este determinismo en la física clásica en base a argumentos tales como la (...) existencia de sistemas con bifurcaciones, la flecha del tiempo, el caos, etc. Muchos filósofos postmodernos también han elegido el tema del caos para defender ciertas ideas tan confusas como erróneas ("en río revuelto ganancia de pescadores"). Sin embargo, aquí se mostrará que todo lo que están haciendo estos autores es básicamente confundir de manera inapropiada el determinismo con la predictibilidad, y que Laplace estaba más en lo cierto que sus detractores. (shrink)

The majority of analyses investigating the professionalisation of scientific domains tend to assume the linear and general features of this transformation. These studies focus on the shift from a non-professionalised state to a professionalised state. This dual approach, however, crucially lacks some other aspects of the process of professionalisation. This issue is discussed within the context of the growth of prehistoric archaeology in France from the 1940s, by observing scientific societies, national research organisations and their social networks. Looking at the (...) scale of Georges Laplace’s career and that of his research group, which studied the typologie analytique method, this article demonstrates the benefits of a ternary model which also encompasses the modes of refusal of professionalisation. (shrink)

ONE of the most celebrated mathematical physicists, Pierre-Simon Laplace is often remembered as the mathematician who showed that despite appearances, the Solar System does conform to Newton’s theories. Together with distinguished scholars Robert Fox and Ivor Grattan-Guinness, Charles Gillispie gives us a new perspective, showing that Laplace did not merely vindicate Newton’s system, but had a uniquely creative and independent mind.

How do you make decisions under ignorance? That is, how do you decide when you lack subjective probabilities for some of your options’ possible outcomes? One answer is that you follow the Laplace Rule: you assign an equal probability to each state of nature for which you lack a subjective probability (that is, you use the Principle of Indifference) and then you maximize expected utility. The most influential objection to the Laplace Rule is that it is sensitive to (...) the individuation of states of nature. This sensitivity is problematic because the individuation of states seems arbitrary. In this paper, however, I argue that this objection proves too much. I argue that all plausible rules for decisions under ignorance are sensitive to the individuation of states of nature. (shrink)

My aim in this paper is to give a philosophical analysis of the relationship between contingently available technology and the knowledge that it makes possible. My concern is with what specific subjects can know in practice, given their particular conditions, especially available technology, rather than what can be known “in principle” by a hypothetical entity like Laplace’s Demon. The argument has two parts. In the first, I’ll construct a novel account of epistemic possibility that incorporates two pragmatic conditions: responsibility (...) and practicability. For example, whether subjects can gain knowledge depends in some circumstances on whether they have the capability of gathering relevant evidence. In turn, the possibility of undertaking such investigative activities depends in part on factors like ethical constraints, economical realities, and available technology. In the second part of the paper, I’ll introduce “technological possibility” to analyze the set of actions made possible by available technology. To help motivate the problem and later test my proposal, I’ll focus on a specific historical case, one of the earliest uses of digital electronic computers in a scientific investigation. I conclude that the epistemic possibility of gaining access to scientific knowledge about certain subjects depends (in some cases) on the technological possibility for making responsible investigations. (shrink)

This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or toy model of quantum mechanics over sets (QM/sets). There have been several previous attempts to develop a quantum-like model with the base field of ℂ replaced by ℤ₂. Since there are no inner products on vector spaces over finite fields, the problem is to define the Dirac brackets and the probability calculus. The previous attempts (...) all required the brackets to take values in ℤ₂. But the usual QM brackets <ψ|ϕ> give the "overlap" between states ψ and ϕ, so for subsets S,T⊆U, the natural definition is <S|T>=|S∩T| (taking values in the natural numbers). This allows QM/sets to be developed with a full probability calculus that turns out to be a non-commutative extension of classical Laplace-Boole finite probability theory. The pedagogical model is illustrated by giving simple treatments of the indeterminacy principle, the double-slit experiment, Bell's Theorem, and identical particles in QM/Sets. A more technical appendix explains the mathematics behind carrying some vector space structures between QM over ℂ and QM/Sets over ℤ₂. (shrink)

Karl Popper’s “Indeterminism in Quantum Physics and in Classical Physics” suffers unjust neglect. He judged determinism false: the future is open. In principle, replacing Laplace's variant of predetermination with predictable predetermination renders “scientific” determinism scientific and so refutable. Popper claimed that he had refuted it. Now a metaphysical system may have an extension—in the mathematical sense—that may render it explanatory and testable. If it exists, then it is not unique but has many alternative extensions. Popper’s proof is then inconclusive.

L’article de Karl Popper « Indeterminism in Quantum Physics and in Classical Physics » est tombé injustement dans l’oubli. Popper jugeait le déterminisme faux : l’avenir est ouvert. En principe, remplacer la variante de Laplace de la pré-détermination par une prédétermination prévisible permet de rendre scienti-fique, donc réfutable, le déterminisme « scientifique ». Popper a affirmé qu’il l’avait réfuté. Maintenant, un système métaphysique peut avoir une extension – au sens mathématique – qui le rend explicatif et testable. Si une (...) extension existe, alors elle n’est pas unique, et de nombreuses autres extensions alterna-tives existent. La preuve de Popper n’est alors pas concluante. (shrink)

This dialogue builds on a previous critique that highlights a methodological paradox in the empirical application of probability theory. In the earlier work, it was suggested that while probability is mathematically sound, conceptual challenges arise when it is used to model real-world uncertainty. In this dialogue, Laplace, a proponent of classical probability, and Incredulus, a philosophical skeptic, engage in a thoughtful examination of these issues. Their inquiry explores the interplay between logic, probability, and empirical observation, raising questions about how (...) past experiences shape our understanding of possible outcomes and the limits this may impose on probabilistic reasoning. (shrink)

Background: Emergentism as an ontology of consciousness leaves unanswered the question as to its mechanism. Aim: I aim to solve the Body-Mind problem by explaining how conscious organisms emerged on an evolutionary basis at various times in accordance with an accepted scientific principle, through a mechanism that cannot be understood, in principle. Proposal: The reason for this cloak of secrecy is found in a seeming contradiction in the behaviour of information with respect to the first two laws of thermodynamics. Information, (...) the microstate of particles within an isolated system’s macrostate, can, like first law energy, be neither created nor destroyed, yet the information in the system, like second law entropy, will inevitably increase. To explain information increasing without being created, Laplace’s demon is invoked, able to predict where each particle is destined. This doesn’t work for emerging events like consciousness, which are unpredictable. This can be understood in terms of the derivation of entropy, and the emergence of classical physics, from the Relativistic Transactional Interpretation of Quantum Mechanics. I propose that the increased entropy in a time-irreversible, unpredictable (emergent) isolated system requires the simultaneous deletion of information concerning the steps, or calculations, involved. Conclusion: Thus, the steps leading to consciousness are immediately destroyed and must remain a mystery. Implications include that entropy, not panpsychism, is the Universal principle generative of consciousness, that our being conscious proves that we are not predetermined, and that consciousness requires assuming an “entropy debt” that can only be repaid by living organisms, prohibiting the emergence of conscious machines. (shrink)

Free will is difficult to classify with respect to determinism or indeterminism, and its phenomenology in consciousness often shows both aspects. Initially, it is felt as unlimited and indeterminate will power, with the potentiality of multiple choices. Thereafter, reductive deliberation is led by determinism to the final decision, which realises only one of the potential choices. The reductive deliberation phase tries to find out the best alternative and simultaneously satisfying vague motivations, contextual conditions and personal preferences. The essential sense of (...) free will is the introduction of personal preferences, which allows a higher diversity of reactions to vague motivations. With an oversimplified model of determinism as a chain of events, incompatibilists define “free” as “undetermined” so that determinism becomes incompatible with any free choice between alternatives. In consciousness, free will requires a more complex model of network determinism as well as the consideration of unconsciousness as a causal factor. When “free” defined as “undetermined” is applied to the context of consciousness, it should be reinterpreted as “unconscious of being determined” or not aware of underlying determinism. Lacking information on determinism generates a feeling of “free” in consciousness and, therefore, gives the impression of indeterminism. Lacking information may be induced by an uncertain future without determined events—an unconscious past with biological reactions suddenly emerging from the unconsciousness or an unknown present unable to distinguish determinism of complex events. Therefore, at the level of human consciousness, the experience of free will is associated with apparent indeterminism although it is based on unconscious determinism. The concepts of compatibilism and incompatibilism are only two different aspects of the same phenomenon and correspond to consciousness and unconsciousness. Nevertheless, they can be considered together with a free will concept based on relativity depending on two different reference frames—the first person’s experience frame or the Laplace’s demon frame with knowledge on every molecule of the universe. Only relativity of the free will concept avoids the contradiction between “free” and “unfree” for the same phenomenon and could be a compromise for considering compatibilism and incompatibilism equally. (shrink)

Usual narratives among prehistoric archaeologists consider typological approaches as part of a past and outdated episode in the history of research, subsequently replaced by technological, functional, chemical, and cognitive approaches. From a historical and conceptual perspective, this paper addresses several limits of these narratives, which (1) assume a linear, exclusive, and additive conception of scientific change, neglecting the persistence of typological problems; (2) reduce collective developments to personal work (e.g. the “Bordes’” and “Laplace’s” methods in France); and (3) presuppose (...) the coherence and identity of these “methods” over time. It explores the case of the “Structural and analytical typology” method, developed in France, Spain, and Italy from the 1950s to the 2000s by Georges Laplace and his collaborators for lithic implements. This paper (1) provides a detailed historical account of the evolving content of this collective endeavour over five decades; (2) it addresses the epistemological question of what makes the identity and unity of a scientific method, demonstrating that the core component of the “analytical typology” lies in its particular way to represent real-world phenomena through its notation system; and (3) it reveals how this little known but significant episode of advances in the methods and theory of archaeology, contemporary but independent of the “New Archaeology” trend in English-speaking archaeology, was instrumental in the continuation of evolutionary perspectives in France and in the development of quantitative and formal methods in archaeology in southwestern Europe, foreseeing crucial knowledge representation issues raised today by digital methods in archaeology and data curation. (shrink)

Methodological innovations have a special status in disciplinary histories, because they can be widely adopted and anonymised. In the 1950s, this occurred to Georges Laplace’s innovative use of 3-dimensional metric Cartesian coordinate system to record the positions of archaeological objects. This paper proposes a conceptual and social history of this process, with a focus on its spatial context, the Pyrenean region (Spain, Basque Country, and France). Main results of this research based on archives, publications, and bibliometric data, include: 1) (...) a critical discussion of the notions concerning authorship of such methodological innovations; 2) a presentation of the lesser-known aspects of Laplace’s method, showing its contribution to the abstraction and formalisation of archaeological observations and data recording; and 3) the identification of an international Pyrenean intellectual lineage of innovation regarding stratigraphy and excavation methods, from the late 19th century to the early 21th century. (shrink)

In the last decades, many changes have occurred in scientific publishing, including online publication, data repositories, file formats and standards. The role played by computers in this process rekindled the argument on forms of technical determinism. This paper addresses this old debate by exploring the case of publishing processes in prehistoric archaeology during the second part of the twentieth century, prior to the wide-scale adoption of computers. It investigates the case of a collective and international attempt to standardize the typological (...) analysis of prehistoric lithic objects, coined typologie analytique by Georges Laplace and developed by a group of French, Italian, and Spanish researchers. The aim of this paper is to: 1) present a general bibliometric scenario of prehistoric archaeology publishing in continental Europe; 2) report on the little-known typologie analytique method in archaeology, using publications, archives, and interviews; 3) show how the publication of scientific production was shaped by social (editorial policies, support networks) and material (typography features and publication formats) constraints; and 4) highlight how actors founded resources to control and counterbalance these effects, namely by changing and improving publishing formats. (shrink)

Arnold Sommerfeld introduced the fine-structure constant that determines the strength of the electromagnetic interaction. Following Sommerfeld, Wolfgang Pauli left several clues to calculating the fine-structure constant with his research on Johannes Kepler's view of nature and Pythagorean geometry. The Laplace limit of Kepler's equation in classical mechanics, the Bohr-Sommerfeld model of the hydrogen atom and Julian Schwinger's research enable a calculation of the electron magnetic moment anomaly. Considerations of fundamental lengths such as the charge radius of the proton and (...) mass ratios suggest some further foundational interpretations of quantum electrodynamics. (shrink)

This article investigates religious ideals persistent in the datafication of information society. Its nodal point is Thomas Bayes, after whom Laplace names the primal probability algorithm. It reconsiders their mathematical innovations with Laplace's providential deism and Bayes' singular theological treatise. Conceptions of divine justice one finds among probability theorists play no small part in the algorithmic data-mining and microtargeting of Cambridge Analytica. Theological traces within mathematical computation are emphasized as the vantage over large numbers shifts to weights beyond (...) enumeration in probability theory. Collateral secularizations of predestination and theodicy emerge as probability optimizes into Bayesian prediction and machine learning. The paper revisits the semiotics and theism of Peirce and a given beyond the probable in Whitehead to recontextualize the critiques of providence by Agamben and Foucault. It reconsiders datafication problems alongside Nietzschean valuations. Religiosity likely remains encoded within the very algorithms presumed purified by technoscientific secularity or mathematical dispassion. (shrink)

One of the central criteria for free will is “Could I have done otherwise?” But because of a temporal asymmetry in human choice, the question makes no sense. The question is backward-looking, while human choices are forward-looking. At the time when any choice is actually made, there is as of yet no action to do otherwise. Expectation is the only thing to contradict (do other than). So the ability to do something not expected by the ultimate expecter, Laplace’s demon, (...) is a better criterion for free will. If human action is fundamentally unpredictable, then we have free will. Scientists have studied a form of fundamental unpredictability, known as undecidability. The features that make a system capable of undecidable dynamics have been identified: program-data duality; potential to access an infinite computational medium; and the ability to implement negation. Humans have all three of these features, so we very likely are fundamentally unpredictable, so we have free will. (shrink)

Research into ancient physical structures, some having been known as the seven wonders of the ancient world, inspired new developments in the early history of mathematics. At the other end of this spectrum of inquiry the research is concerned with the minimum of observations from physical data as exemplified by Eddington's Principle. Current discussions of the interplay between physics and mathematics revive some of this early history of mathematics and offer insight into the fine-structure constant. Arthur Eddington's work leads to (...) a new calculation of the inverse fine-structure constant giving the same approximate value as ancient geometry combined with the golden ratio structure of the hydrogen atom. The hyperbolic function suggested by Alfred Landé leads to another result, involving the Laplace limit of Kepler's equation, with the same approximate value and related to the aforementioned results. The accuracy of these results are consistent with the standard reference. Relationships between the four fundamental coupling constants are also found. (shrink)

Freedom is an impossibility; the dream of having the ability to choose anything one wants is hampered by reality. However, what aspect of reality ultimately hampers the birth of true freedom? What I propose is that reality itself makes freedom impossible. Furthermore, I also make the logical assumption, from the evidence I have found, that the only entity that can have freedom is a being that is formless, timeless, featureless, and is an infinite environment of nothing. While my studies today (...) haven’t been focused on that topic, it is a noteworthy observation. I also prove Determinism, and show why the definitions of free will given by Libertarians, Compatibilists, and Incompatibilists each, without any argument I could see, fall. I also provide some insight into the reactive basis of human psychology, further proving Determinism. I also propose that an object akin to the characteristics of Laplace's Demon, in my paper a supercomputer which can process all data of everything at a single instant in time has the ability to both flawlessly predict the future and calculate the past. (shrink)

Since the time Nietzsche declared the death of God, while Auguste Comte postulated in the Law of Three Stages that humankind had gone pass the religious/mythical stage as well as the metaphysical/speculative stage and was now living in the positive/scientific stage, there has been the consistent institutionalization of atheism and secularism. The early part of the 20th century saw Freud’s publication of the Future of an Illusion in which he predicted that as science continues to advance, religion will become obsolete. (...) The logical positivist too lumped up metaphysical and religious propositions as meaningless and nonsensical. It is within this atmosphere that Alfred North Whitehead comes into philosophy. The main question that this paper seeks to answer is: Why does the concept of God occupy an eminent place in Whitehead’s system when all his contemporaries consider God a hypothesis they no longer needed as Laplace had earlier maintained? Of great interest here is the fact that before 1925 Whitehead’s writings had no concern for God. However, in his 1925 Science and the Modern World, the chapter on “Abstractions” required that there be such an explanatory factor, reason for which it is immediately followed by the chapter on “God”. The last part of his Process and Reality treats elaborately the nature of the relationship between God and the world. This paper explores the reasons why Whitehead places a lot of interest on God and the role that this God plays in his system. (shrink)

Social decisions are often made under great uncertainty – in situations where political principles, and even standard subjective expected utility, do not apply smoothly. In the first section, we argue that the core of this problem lies in decision theory itself – it is about how to act when we do not have an adequate representation of the context of the action and of its possible consequences. Thus, we distinguish two criteria to complement decision theory under ignorance – Laplace’s (...) principle of insufficient reason and Wald’s maximin criterion. After that, we apply this analysis to political philosophy, by contrasting Harsanyi’s and Rawls’s theories of justice, respectively based on Laplace’s principle of insufficient reason and Wald’s maximin rule – and we end up highlighting the virtues of Rawls’s principle on practical grounds (it is intuitively attractive because of its computational simplicity, so providing a salient point for convergence) – and connect this argument to our moral intuitions and social norms requiring prudence in the case of decisions made for the sake of others. (shrink)

Nimeni nu ştie sigur dacă amintirea lui Newton despre măr a fost corectă, dar perspectiva lui aceasta este. Filosofii au crezut încă de la greci că mişcarea “naturală” a stelelor, planetelor, Soarelui şi Lunei este circulară. Kepler a stabilit că orbitele sunt de fapt eliptice, dar a crezut că mişcările planetelor este dictată de către o “forţă divină” emanată de la Soare, iar Newton şi-a dat seama că aceeaşi forţă care face ca o piatră aruncată să cadă înapoi pe Pământ, (...) ţine şi planetele pe orbita Soarelui, şi Luna pe orbita Pământului. În 1687, Isaac Newton a publicat Principia, în care face ipoteza legii pătratelor inverse a gravitației universale. Aplicarea legii gravitației lui Newton a permis obținerea multor informații detaliate pe care le avem despre planetele din Sistemul Solar, masa Soarelui și detalii despre quasari; chiar și existența unei materii întunecate se deduce din legea gravitației lui Newton. Deși nu am călătorit pe toate planetele și nici pe Soare, cunoaștem masele lor. Aceste mase se obțin prin aplicarea legilor gravitației la caracteristicile măsurate ale orbitei. În spațiu un obiect își menține orbita datorită forței gravitaționale care acționează asupra ei. Planeta orbitează stelele, stelele orbitează în centre galactice, galaxiile orbitează un centru de masă în grupuri și clusterele orbitează în superclustere. CUPRINS: Gravitația - Istoria teoriei gravitației - - Revoluția științifică - - Teoria lui Newton a gravitației - - Principiul echivalenței - - Relativitatea generală - - Gravitația și mecanica cuantică - Aspecte specifice - - Gravitația Pământului - - Ecuațiile pentru un corp care cade aproape de suprafața Pământului - - Gravitația și astronomia - - Radiații gravitaționale - - Viteza gravitației - Anomalii și discrepanțe Istoria teoriei gravitației - Antichitate - Era modernă - - Teoria lui Newton despre gravitație - - Explicații mecanice ale gravitației - - Relativitatea generală - - Gravitația și mecanica cuantică Isaac Newton - Ortodoxia creștină - Dumnezeu ca maestru creator - Alte credințe - Scrieri Legea gravitaţiei universale a lui Newton - Istorie - Forma modernă - - Forma vectorială - - Comparaţie cu forţa electromagnetică - - Reticenţele lui Newton - Aspecte problematice - - Preocupări teoretice privind expresia lui Newton - - Observații care contravin formulei lui Newton - - Reticențele lui Newton - - Soluția lui Einstein Isaac Newton vs. Robert Hooke - Opera și revendicările lui Hooke - Opera și revendicările lui Newton - Recunoașterea lui Newton - Controversa modernă a priorității - Schopenhauer despre Newton și Hooke Acțiunea la distanță - Ipotezele eterului - Corespondența cu Richard Bentley - Concluzii Explicarea gravitației prin eter - Curenți - Presiune statică Constanta gravitațională universală, G Legea inversului pătratului în gravitație - Formula - Justificare - Gravitația Gravitaţia Pământului - Ecuațiile pentru un corp în cădere în apropiere de suprafața Pământului Greutatea și imponderabilitatea - Greutatea în mecanica newtoniană - Istorie - - Newton - Relativitatea Mareele și gravitația - Caracteristici - Constituienți - Istoria fizicii mareelor - Forțe - Ecuațiile de maree ale lui Laplace - Mareele oceanelor - - Amplitudine și ciclu - - Batimetrie - Mareea Pământului - - Forța fluxului - - Mareea corporală - - Ceilalți contribuabili ai mareelor Pământului - Mareea atmosferei Pământului - - Caracteristici generale - Mareele lunare - - Componenta principală lunară semi-diurnă Câmpul gravitațional - Mecanica clasică Gravitația în interiroul unei planete (Teorema carcasei) - Dovezile lui Newton - - Forța pe un punct în interiorul unei sfere goale - Modelul preliminar de referință al pământului (PREM) Referințe Despre autor - Nicolae Sfetcu - - De același autor - - Contact Editura - MultiMedia Publishing . (shrink)

O introducere în lumea electricității și a magnetismului, explicată în principal fenomenologic, cu ajutorul unui aparat matematic minimal, și cu exemple și aplicații din viața reală. O prezentare compactă, clară și precisă a unui domeniu care reprezintă o parte importantă a vieții noastre. Cartea acoperă toate subiectele introductive standard, respectiv electrostatica (forțe electrice, sarcini electrice, conservarea sarcinii, legea lui Coulomb, conductori și izolatori (rezistența electrică și conductanța electrică), semiconductori, superconductori, polarizarea (dielectrici), câmpul electric, potențialul electric, stocarea energiei electrice), curentul electric (...) (circulația sarcinilor, surse de tensiune, rezistența electrică, legea lui Ohm, curent continuu și curent alternativ, conversia de la CA la CC (redresoare), electroni într-un circuit electric, puterea electrică), magnetismul (forțe magnetice, poli magnetici, câmpuri magnetice, domenii magnetice, legea Biot–Savart și legea lui Ampère, electromagneți, forța Lorentz și forța Laplace, contoare electrice, motoare electrice, câmpul magnetic al Pământului, radiații cosmice), inducția electromagnetică (electromagnetism, legea lui Faraday (a inducției), generatoare de CA (alternatoare), centrale electrice (generarea electricității), hidrocentralele Porţile de Fier, turbogeneratoare, generatoare magnetohidrodinamice, transformatoare, autoinducția, transmisia energiei electrice, câmpul electromagnetic, unde electromagnetice). (shrink)

Laplacean Determinism (his so-called demon argument) is the thesis that every event that transpires in a closed universe is a physical event caused (i.e., determined) in full by some earlier event in accord with laws that govern their behavior. On this view, it is possible, in principle, to make perfect predictions of the state of the universe at any time Tn on the basis of complete knowledge of the state of the universe at time T1. Thus, if identity theory, epiphenomenalism (...) or any other instantiation of Laplacean Determinism is correct, mental events such as free will, intention and other forms of mental agency are tricks of the mind, misleading us into believing our volitional concerns have traction in a world ruled entirely by physical circumstance. Not surprisingly, advocates of free will and related acts of human volition have engaged in spirited debate with adherents to Laplacean orthodoxy, the results of which have been far from conclusive. Rather than join these deliberations, I wholly embrace the demon argument and then ask “what are the consequences of this allegiance?” As I hope to show, acceptance of this argument commits one to a belief in the existence of human precognition. This, I suggest, is a consequence that does not fit comfortably within a contemporary scientific worldview. (shrink)

The primary sense of the word ‘hypothesis’ in modern colloquial English includes “proposition not yet settled” or “open question”. Its opposite is ‘fact’ in the sense of “proposition widely known to be true”. People are amazed that Plato [1, p. 1684] and Aristotle [Post. An. I.2 72a14–24, quoted below] used the Greek form of the word for indemonstrable first principles [sc. axioms] in general or for certain kinds of axioms. These two facts create the paradoxical situation that in many cases (...) it is impossible to translate the Greek form of the word using the English form: the primary sense of the word ‘hypothesis’ in modern colloquial English is diametrically opposed to one sense used by Plato and by his most accomplished student Given current colloquial English usage it is impossible to get the word hypothesis to carry the connotation of “settled truth” much less “axiomatic truth”. The ‘hypo-’ [under] in the Plato-Aristotle use of ‘hypothesis’ might carry the sense of “basis” or “foundational” as opposed to “less than usual or normal”. This paradox parallels the one pointed out by Robin Smith: it is impossible for the English word ‘syllogism’ to carry the meaning of its Greek form Aristotle intended. There are other cases as well: it is impossible for the English biological term ‘genus’ to carry the meaning of its Greek form the Greek genos refers to family as in our ‘genealogy’, not to “higher species” as in our ‘generic’. (shrink)

يوريكا ... كثيرًا ما تُستخدم هذه الكلمة للإشارة إلى لحظة الكشف العلمي، تلك اللحظة الفارقة التي تُولد فيها فجأة فكرةٌ عبقرية في ذهن العالِم أو الباحث، فتفصل بين ما هو غير موجود وما هو موجود، أو بالأحرى بين ما هو غير معروف للمجتمع العملي وما هو سائد ومستهلك حتى بات غير مُشبع لمعالجة المزيد من الوقائع. فما الذي يدفع إلى مثل هذه اللحظة، وماذا يُمكننا أن نفعل لكي تأتي إلينا ونختبرها بشكلٍ مُتكرر؟!