We show that true colors as defined by Chevreul (1839) produce unsuspected simultaneous brightness induction effects on their immediate grey backgrounds when these are placed on a darker (black) general background surrounding two spatially separated configurations. Assimilation and apparent contrast may occur in one and the same stimulus display. We examined the possible link between these effects and the perceived depth of the color patterns which induce them as a function of their luminance contrast. Patterns of square-shaped inducers of a (...) single color (red, green, blue, yellow, or grey) were placed on background fields of a lighter and a darker grey, presented on a darker screen. Inducers were always darker on one side of the display and brighter on the other in a given trial. The intensity of the grey backgrounds varied between trials only. This permitted generating four inducer luminance contrasts, presented in random order, for each color. Background fields were either spatially separated or consisted of a single grey field on the black screen. Experiments were run under three environmental conditions: dark-adaptation, daylight, and rod-saturation after exposure to bright light. In a first task, we measured probabilities of contrast, assimilation, and no effect in a three-alternative forced-choice procedure (background appears brighter on the ‘left’, on the ‘right’ or the ‘same’). Visual adaptation and inducer contrast had no significant influence on the induction effects produced by colored inducers. Achromatic inducers produced significantly stronger contrast effects after dark-adaptation, and significantly stronger assimilation in daylight conditions. Grouping two backgrounds into a single one was found to significantly decrease probabilities of apparent contrast. Under the same conditions, we measured probabilities of the inducers to be perceived as nearer to the observer inducers. These, as predicted by Chevreul’s law of contrast, were determined by the luminance contrast of the inducers only, with significantly higher probabilities of brighter inducers to be seen as nearer, and a marked asymmetry between effects produced by inducers of opposite sign. Implications of these findings for theories which attempt to link simultaneous induction effects to the relative depth of object surfaces in the visual field are discussed. (shrink)

Poe's Law is roughly that online parodies of religious extremism are indistinguishable from instances of sincere extremism. Poe's Law may be expressed in a variety of ways, each highlighting either a facet of indirect discourse generally, attitudes of online audiences, or the quality of online religious material. As a consequence of the polarization of online discussions, invocations of Poe's Law have relevance in wider circles than religion. Further, regular invocations of Poe's Law in critical discussions have the threat of further (...) entrenching and polarizing views. (shrink)

The status of the laws of nature in Hobbes’s Leviathan has been a continual point of disagreement among scholars. Many agree that since Hobbes claims that civil philosophy is a science, the answer lies in an understanding of the nature of Hobbesian science more generally. In this paper, I argue that Hobbes’s view of the construction of geometrical figures sheds light upon the status of the laws of nature. In short, I claim that the laws play the (...) same role as the component parts – what Hobbes calls the “cause” – of geometrical figures. To make this argument, I show that in both geometry and civil philosophy, Hobbes proceeds by a method of synthetic demonstration as follows: 1) offering a thought experiment by privation; 2) providing definitions by explication of “simple conceptions” within the thought experiment; and 3) formulating generative definitions by making use of those definitions by explication. In just the same way that Hobbes says that the geometer should “put together” the parts of a square to learn its cause, I argue that the laws of nature are the cause of peace. (shrink)

Darcy's law is a phenomenological relationship for fluid flow rate that finds one of its principle applications in hydrology. Theoretical hydrologists rely upon a multiplicity of conceptual models to carry out approximate derivations of Darcy's law. These derivations provide structural explanations of the law; they require the application of fundamental principles, such as conservation of momentum, to idealized models of the porous media within which the flow occurs. In practice, recognition of the idealized conditions incorporated into models facilitates the empirical (...) clarification of the domain within which the law remains accurate. Structural explanations also contribute to the physical interpretation of phenomenological parameters. (shrink)

Apart from his critique of Kant, Maimon’s significance for the history of philosophy lies in his crucial role in the rediscovery of Spinoza by the German Idealists. Specifically, Maimon initiated a change from the common eighteenth-century view of Spinoza as the great ‘atheist’ to the view of Spinoza as an ‘acosmist’, i.e., a thinker who propounded a deep, though unorthodox, religious view denying the reality of the world and taking God to be the only real being. I have discussed this (...) aspect of Maimon’s philosophy in other places, and though the topic of the current paper has an interesting relation to certain doctrines of Spinoza, I will not develop this issue here. Neither of these two issues -- Maimon’s criticism of Kant or his original interpretation of Spinoza -- was considered by Maimon as his main contribution to philosophy. There is little doubt that if Maimon were asked to point out his single most important innovation he would have picked his doctrine of the Principle of Determinability [Satz der Bestimmbarkeit]. Regarding this doctrine Maimon writes: ... [T]he principle of determinability laid down in this work is a principle of all objectively real thought, and consequently of philosophy as a whole too. All the propositions of philosophy can be derived from, and be determined by it [woraus sich alle Sätze herleiten und wodurch sie sich bestimmen lassen]. … I have made available a supreme principle of all objectively real thought, viz., the principle of determinability... and have established as the ground of the whole of pure philosophy -- a principle which, if it is ever grasped, will, I hope, withstand every scrutiny. These claims may strike the reader as somewhat presumptuous, to say the least. But, if we pay attention to the last sentence of the passage, we can see that Maimon doubts whether his great finding will ever be understood. It is not unlikely that in this phrase (“wenn er nur einmal eingesehen werden wird”) Maimon was reacting to his own repeatedly unsuccessful attempts to explain the principle. The fate of Maimon’s principle has not been much better in the few works written on Maimon’s philosophy, and though almost all commentators agree that the principle of determinability is the linchpin of the positive philosophy Maimon was trying to develop, we do not yet have a clear explanation of this principle, or of the reason why Maimon assigns such importance to it. Recently, Oded Schechter developed an excellent reading of this principle, and in most aspects my view agrees with his (primarily, in its rejecting the attempt to explain the principle as a version of Leibniz’s predicate-in-subject [Praedicatum inest subjecto] containment thesis). My paper consists of two parts. The first is expository in nature. In this part, I spell out briefly the main aspects of Maimon’s principle of determinability and its aims. In the second part, I examine Maimon’s surprising claim that once we accept the principle of determinability, we have to deny the possibility of two subjects sharing the same predicate. Maimon provides several proofs for this highly counterintuitive claim, and I will try to clarify and evaluate these proofs. (shrink)

This article investigates the relationship between Hume’s causal philosophy and Newton ’s philosophy of nature. I claim that Newton ’s experimentalist methodology in gravity research is an important background for understanding Hume’s conception of causality: Hume sees the relation of cause and effect as not being founded on a priori reasoning, similar to the way that Newton criticized non - empirical hypotheses about the properties of gravity. However, according to Hume’s criteria of causal inference, the law of universal gravitation is (...) not a complete causal law, since it does not include a reference either to contiguity or to temporal priority. It is still argued that because of the empirical success of Newton ’s theory—the law is a statement of an exceptionless repetition—Hume gives his support to it in interpreting gravity force instrumentally as if it bore a causal relation to motion. (shrink)

Santiago Ramón y Cajal, the primary architect of the neuron doctrine and the law of dynamic polarization, is considered to be the founder of modern neuroscience. At the same time, many philosophers, historians, and neuroscientists agree that modern neuroscience embodies a mechanistic perspective on the explanation of the nervous system. In this paper, I review the extant mechanistic interpretation of Cajal’s contribution to modern neuroscience. Then, I argue that the extant mechanistic interpretation fails to capture the explanatory import of Cajal’s (...) law of dynamic polarization. My claim is that the definitive formulation of Cajal’s law of dynamic polarization, despite its mechanistic inaccuracies, embodies a non-mechanistic pattern of reasoning that is an integral component of modern neuroscience. (shrink)

Introduction: Prinz’s SentimentalismMany ethicists claim that one cannot derive an ought from an is. In others words, they think that one cannot derive a statement that has prescriptive force from purely descriptive statements. This thesis plays a crucial role in many theoretical and practical ethical arguments. Since, according to many, David Hume advocated a view along these lines, this thesis has been called ‘Hume’s Law’. In this paper, I adopt this widespread terminology, whether or not Hume did indeed take this (...) position. There are some notable exceptions among philosophers, such as John SearleSee John R. Searle, “How to Derive “Ought” from “Is”,” Philosophical Review, Vol. 73, No. 1, (1964), pp. 43–58. and Arthur Prior,See Arthur N. Prior, “The Autonomy of Ethics,” Australasian Journal of Philosophy, Vol. 38, No. 3, (1960), pp. 199–206. but most philosophers have embraced Hume’s Law. Recently, however, Hume’s Law has come under attack. In his book The Emotional Construction of Mor. (shrink)

Karl Popper discovered in 1938 that the unconditional probability of a conditional of the form ‘If A, then B’ normally exceeds the conditional probability of B given A, provided that ‘If A, then B’ is taken to mean the same as ‘Not (A and not B)’. So it was clear (but presumably only to him at that time) that the conditional probability of B given A cannot be reduced to the unconditional probability of the material conditional ‘If A, then B’. (...) I describe how this insight was developed in Popper’s writings and I add to this historical study a logical one, in which I compare laws of excess in Kolmogorov probability theory with laws of excess in Popper probability theory. (shrink)

In the first few pages of chapter 4 of his Theological Political Treatise (1670), Spinoza defines his conception of the law. In fact, he defines the law twice, first in terms of compulsion or necessity and then in terms of use. I would like to investigate here these definitions, in particular the second one, as it is Spinoza’s preferred one. The difficulty with understanding this definition is that it contains an expression, ratio vivendi, that is repeated several times in the (...) first few pages of chapter 4, but, unless it is taken as a technical term referring to law as use, it is easy to mistake it as a casual expression that might mean different things each time. As a result, it is indispensable to turn to the Latin text to unlock the technical meaning of ratio vivendi. The result will be that Spinoza's conception of the law aligns with the epicurean conception of the law understood in terms of use. (shrink)

In this paper, I argue for an interpretation of Hume's Law that sees him as dismissing all possible arguments from is to ought on the basis of a comparison with his famous argument on induction.

This paper proves a precisification of Hume’s Law—the thesis that one cannot get an ought from an is—as an instance of a more general theorem which establishes several other philosophically interesting, though less controversial, barriers to logical consequence.

In this paper, I explore a tension between the Law in the novel The Island of Doctor Moreau, by H. G. Wells, and Kant's reciprocity thesis. The Law is a series of prohibitions that Moreau has his beasts recite. Moreau devotes his time to transforming animals through a painful surgery into beings that resemble humans, but the humanized beasts are constantly slipping back into animalistic habits, and so Moreau promulgates the Law to maintain decorum. Kant's reciprocity thesis states that free (...) will is the necessary and sufficient condition of moral practical laws. That is, in order for a moral practical law to be applicable, there must be free will, and, if free will is present, then there will be a moral practical law that sets a standard for the free will. However, in Wells's novel, the humanized beasts seem to lack free will. So, how can a law be applicable to them? By delving deeper into the mystery of Moreau's strange island, I will shed light on the otherwise cumbersome concepts of free will, natural impulses, and practical laws, as well as their interrelationships. The upshot will be a deeper understanding of personhood through an exploration of the instinctual nature of animals, moral law, and free will. (shrink)

Formally-inclined epistemologists often theorize about ideally rational agents--agents who exemplify rational ideals, such as probabilistic coherence, that human beings could never fully realize. This approach can be defended against the well-know worry that abstracting from human cognitive imperfections deprives the approach of interest. But a different worry arises when we ask what an ideal agent should believe about her own cognitive perfection (even an agent who is in fact cognitively perfect might, it would seem, be uncertain of this fact). Consideration (...) of this question reveals an interesting feature of the structure of our epistemic ideals: for agents with limited information, our epistemic ideals turn out to conflict with one another. (shrink)

Plato’s Laws include what H.L.A. Hart called the ‘classical thesis’ about the nature and role of law: the law exists to see that one leads a morally good life. This paper develops Hart’s brief remarks by providing a panorama of the classical thesis in Laws. This is done by considering two themes: (1) the extent to which Laws is paternalistic, and (2) the extent to which Laws is naturalistic. These themes are significant for a number of (...) reasons, including because they show how Laws might be viewed as a sophisticated forerunner of natural law theory. The upshot is that Plato's metaphysical commitments about legal ontology allow him to base the truth of legal propositions on the way they relate to the truth of corresponding moral propositions. (shrink)

I argue that an individual has aspects numerically identical with it and each other that nonetheless qualitatively differ from it and each other. This discernibility of identicals does not violate Leibniz's Law, however, which concerns only individuals and is silent about their aspects. They are not in its domain of quantification. To argue that there are aspects I will appeal to the internal conflicts of conscious beings. I do not mean to imply that aspects are confined to such cases, but (...) the best way to start is to recognize them experientially. We can feel the conflicts within ourselves. In doing so we can feel some of our aspects. I will try to enhance our understanding of the concept of aspect by listing and formalizing some principles for its use. After that I will argue that all sorts of individual things have aspects, not just people who are conflicted. (shrink)

The main goal of this paper is to investigate the relation between the meaning of a sentence and its truth conditions. We report on a comprehension experiment on counterfactual conditionals, based on a context in which a light is controlled by two switches. Our main finding is that the truth-conditionally equivalent clauses (i) "switch A or switch B is down" and (ii) "switch A and switch B are not both up" make different semantic contributions when embedded in a conditional antecedent. (...) Assuming compositionality, this means that (i) and (ii) differ in meaning, which implies that the meaning of a sentential clause cannot be identified with its truth conditions. We show that our data have a clear explanation in inquisitive semantics: in a conditional antecedent, (i) introduces two distinct assumptions, while (ii) introduces only one. Independently of the complications stemming from disjunctive antecedents, our results also challenge analyses of counterfactuals in terms of minimal change from the actual state of affairs: we show that such analyses cannot account for our findings, regardless of what changes are considered minimal. (shrink)

For years philosophers argued for the existence of distinct yet materially coincident things by appealing to modal and temporal properties. For instance, the statue was made on Monday and could not survive being flattened; the lump of clay was made months before and can survive flattening. Such arguments have been thoroughly examined. Kit Fine has proposed a new set of arguments using the same template. I offer a critical evaluation of what I take to be his central lines of reasoning.

In this paper, we will motivate the application of specific rules of inference from the propositional calculus to natural language sentences. Specifically, we will analyse De Morgan’s laws, which pertain to the interaction of two central topics in syntactic research: negation and coordination. We will argue that the applicability of De Morgan’s laws to natural language structures can be derived from independently motivated operations of grammar and principles restricting the application of these operations. This has direct empirical consequences (...) for the hypothesised relations between natural language and logic. (shrink)

Difficulties in learning Ohm’s Law suggest a need to refocus it from the law for a part of the circuit to the law for the whole circuit. Such a revision may improve understanding of Ohm’s Law and its practical applications. This suggestion comes from analysis of the history of the law’s discovery and its teaching. The historical materials this paper provides can also help teacher to improve students’ insights into the nature of science.

Book 1 of Plato’s Laws, and particularly the image of the puppet introduced near its end, has been traditionally interpreted as presenting the moral psychology model that underlies the educational system delineated by the Athenian Stranger, which construes virtue as consonance between the non–rational and the rational elements of the soul. But a different and competing conception of virtue looms large in Laws 1, virtue as victory of the best part of the soul in psychic conflict. This paper (...) argues that the Athenian’s conception of education as the correct conformation of originally conflicting psychic forces requires the simultaneous presence of the harmony and the conflict models of virtue in Laws 1. Education is in turn defined by calculation, the rational activity which persuasively leads the conflicting non–rational forces towards a consonant reciprocal rapport. By strategically developing his understanding of education and calculation in Laws 1, the Athenian shows how the harmony model of virtue overcomes the conflict model, while at the same time recognising that there is some truth to the conflict model after all and integrating it within the harmony model. (shrink)

This article presents a simple derivation of optimization models for reaction networks leading to a generalized form of the mass-action law, and compares the formal structure of Minimum Information Divergence, Quadratic Programming and Kirchhoff type network models. These optimization models are used in related articles to develop and illustrate the operation of ontology alignment algorithms and to discuss closely connected issues concerning the epistemological and statistical significance of sharp or precise hypotheses in empirical science.

In Plato’s Laws, the Athenian Stranger maintains that law should consist of both persuasion (πειθώ) and compulsion (βία) (IV.711c, IV.718b-d, and IV.722b). Persuasion can be achieved by prefacing the laws with preludes (προοίμια), which make the citizens more eager to obey the laws. Although scholars disagree on how to interpret the preludes’ persuasion, they agree that the preludes instill true beliefs and give citizens good reasons for obeying the laws. In this paper I refine this account (...) of the preludes by arguing that the primary purpose of the preludes is to motivate correct action, and that for citizens who lack rational-governance this is achieved via useful false beliefs. That is to say, in many cases, the prelude functions as a “noble lie” (γενναῖον ψεῦδος). (shrink)

Prior Analytics by the Greek philosopher Aristotle (384 – 322 BCE) and Laws of Thought by the English mathematician George Boole (1815 – 1864) are the two most important surviving original logical works from before the advent of modern logic. This article has a single goal: to compare Aristotle’s system with the system that Boole constructed over twenty-two centuries later intending to extend and perfect what Aristotle had started. This comparison merits an article itself. Accordingly, this article does not (...) discuss many other historically and philosophically important aspects of Boole’s book, e.g. his confused attempt to apply differential calculus to logic, his misguided effort to make his system of ‘class logic’ serve as a kind of ‘truth-functional logic’, his now almost forgotten foray into probability theory, or his blindness to the fact that a truth-functional combination of equations that follows from a given truth-functional combination of equations need not follow truth-functionally. One of the main conclusions is that Boole’s contribution widened logic and changed its nature to such an extent that he fully deserves to share with Aristotle the status of being a founding figure in logic. By setting forth in clear and systematic fashion the basic methods for establishing validity and for establishing invalidity, Aristotle became the founder of logic as formal epistemology. By making the first unmistakable steps toward opening logic to the study of ‘laws of thought’—tautologies and laws such as excluded middle and non-contradiction—Boole became the founder of logic as formal ontology. (shrink)

Newton began his Principia with three Axiomata sive Leges Motus. We offer an interpretation of Newton’s dual label and investigate two tensions inherent in his account of laws. The first arises from the juxtaposition of Newton’s confidence in the certainty of his laws and his commitment to their variability and contingency. The second arises because Newton ascribes fundamental status both to the laws and to the bodies and forces they govern. We argue the first is resolvable, but (...) the second is not. However, the second tension shows that Newton conceives laws as formal causes of bodies and forces. This neo-Aristotelian conception goes missing in Kantian accounts of laws, as well as accounts that stress laws’ grounding in powers and capacities. (shrink)

This paper examines Plato’s conception of shame and the role intoxication plays in cultivating it in the Laws. Ultimately, this paper argues that there are two accounts of shame in the Laws. There is a public sense of shame that is more closely tied to the rational faculties and a private sense of shame that is more closely tied to the non-rational faculties. Understanding this division between public and private shame not only informs our understanding of Plato’s moral (...) psychology, but his political and ethical theory as well. (shrink)

During 17th century a scientific controversy existed on the derivation of Snell’s laws of reflection and refraction. Descartes gave a derivation of the laws, independent of the minimality of travel time of a ray of light between two given points. Fermat and Leibniz gave a derivation of the laws, based on the minimality of travel time of a ray of light between two given points. Leibniz’s calculus method became the standard method of derivation of the two (...) class='Hi'>laws. We demonstrate in this article that Snell’s law of reflection follows from simple results of geometry. We do not use the concept of motion or the time of travel in our demonstration. That is, time plays no role in our demonstration. (shrink)

In this paper I argue that although the Republic’s tripartite theory of the soul is not explicitly endorsed in Plato’s late work the Laws, it continues to inform the Laws from beneath the surface of the text. In particular, I argue that the spirited part of the soul continues to play a major role in moral education and development in the Laws (as it did in earlier texts, where it is characterized as reason’s psychic ‘ally’). I examine (...) the programs of musical and gymnastic education in the Laws and highlight parallels to the accounts of the spirited part of the soul and its role in moral education and virtue that are offered in Republic and Timaeus. I also examine the educational role given to the laws themselves in Magnesia, and I suggest that the education provided through them is largely directed at the spirited part of the soul as well. (shrink)

In Plato's Laws, the Athenian Visitor says that the best constitution is a mixture of monarchy and democracy. This is the theoretical basis for the institutions of Magnesia, and it helps the citizens to become virtuous. But what is meant by ‘monarchy’ and ‘democracy’, and how are they mixed? I argue that the fundamental relations in Plato's discussion of constitutions are those of authority and equality. These principles are centrally about the extent to which citizens submit to the judgment (...) of an authority and the extent to which they decide for themselves respectively—the extent to which they are ruled by themselves or ruled by another. The institutions of Magnesia reflect these principles in practice and provide a more nuanced way to understand Plato’s assessment of democratic institutions. (shrink)

Leibniz proposed the ‘Most Determined Path Principle’ in seventeenth century. According to it, ‘ease’ of travel is the end purpose of motion. Using this principle and his calculus method he demonstrated Snell’s Laws of reflection and refraction. This method shows that light follows extremal (local minimum or maximum) time path in going from one point to another, either directly along a straight line path or along a broken line path when it undergoes reflection or refraction at plane or spherical (...) (concave or convex) surfaces. The extremal time path avoided the criticism that Fermat’s least time path was subjected to, by Cartesians who cited examples of reflections at spherical surfaces where light took the path of longest time. Thereby it became the standard method of demonstration of Snell’s Laws. Ptolemy’s theorem is a fundamental theorem in geometry. A special case of it offers a method of finding the minimum sum of the two distances of a point from two given fixed points. We show in this paper that Leibniz’s calculus proof of Snell’s Laws violates Ptolemy’s theorem, whereby Leibniz’s proof becomes invalid. (shrink)

In this paper I challenge the commonly held view that Plato acknowledges and accepts the possibility of akrasia in the Laws. I offer a new interpretation of the image of the divine puppet in Book 1 - the passage often read as an account of akratic action -- and I show that it is not intended as an illustration of akrasia at all. Rather, it provides the moral psychological background for the text by illustrating a broader notion of self-rule (...) as a virtuous condition of the soul (and lack of self-rule as a vicious condition). I examine key discussions in the Laws in order to show how Plato makes use of this broader notion of self-rule throughout the dialogue, and I argue that nothing Plato says in the Laws commits him to the possibility of akrasia. One significant consequence of my interpretation of the puppet passage is that it avoids the need to posit developmentalism in Plato's late views about the embodied human soul, as some recent commentators have done: the moral psychology of the Laws, on my reading, is not incompatible with the Republic's tripartite theory of the soul. (shrink)

A standard strategy for defending a claim of non-identity is one which invokes Leibniz’s Law. (1) Fa (2) ~Fb (3) (∀x)(∀y)(x=y ⊃ (∀P)(Px ⊃ Py)) (4) a=b ⊃ (Fa ⊃ Fb) (5) a≠b In Kalderon’s view, this basic strategy underlies both Moore’s Open Question Argument (OQA) as well as (a variant formulation of) Frege’s puzzle (FP). In the former case, the argument runs from the fact that some natural property—call it “F-ness”—has, but goodness lacks, the (2nd order) property of its (...) being an open question whether everything that instantiates it is good to the conclusion that goodness and F-ness are distinct. And in the latter case, the argument runs from the fact that that Hesperus has, but Phosphorus lacks, the property of being believed by the ancient astronomers to be visible in the evening sky to the conclusion that Hesperus and Phosphorus are distinct. Kalderon argues that both the OQA and FP fail because in neither case is there good reason to believe that both (1) and (2) are true. The reason we are tempted to believe that they are true is because we mistake de dicto claims for de re claims. In order for FP to go through, the truth of the following de re claims needs to be established: FP1) Hesperus was believed by the ancient astronomers to be visible in the evening sky. (shrink)

I argue that No-Ought-From-Is (in the sense that I believe it) is a relatively trivial affair. Of course, when people try to derive substantive or non-vacuous moral conclusions from non-moral premises, they are making a mistake. But No-Non-Vacuous-Ought-From-Is is meta-ethically inert. It tells us nothing about the nature of the moral concepts. It neither refutes naturalism nor supports non-cognitivism. And this is not very surprising since it is merely an instance of an updated version of the conservativeness of logic (in (...) a logically valid inference you don’t get out what you haven’t put in): so long as the expressions F are non-logical, you cannot get non-vacuous F-conclusions from non-F premises. However, the triviality of No-Non-Vacuous-Ought-From-Is is important and its non-profundity profound. No-Ought-From-Is is widely supposed to tell us something significant about the nature of the moral concepts. If, in fact, it tells us nothing, this is a point well worth shouting from the housetops. This brings me to my dispute with Gerhard Schurz who has proved a related version of No-Ought-From-Is, No-Ought-Relevant-Ought-From-Is, a proof which relaxes my assumption that ‘ought’ should not be treated as a logical constant. But if ought is not a logical expression then it does not really matter much that No-Ought-From-Is would be salvageable even if it were. Furthermore, Schurz’s proof depends on special features of the moral concepts and this might afford the basis for an abductive argument to something like non-cognitivism. As an error theorist, and therefore a cognitivist, I object. Finally I take a dim view of deontic logic. Many of its leading principles are false, bordering on the nonsensical, and even the reasonably plausible ones are subject to devastating counter-examples. (shrink)

With regard to the importance of discovering the method of Farabi and his circle in working and involving with the ancient Greek texts such as Plato nomoi / Laws, in this paper I will explore and examine Introduction / Conclusion of Farabi summary.

This paper examines the origin, range and meaning of the Principle of Action and Reaction in Kant’s mechanics. On the received view, it is a version of Newton’s Third Law. I argue that Kant meant his principle as foundation for a Leibnizian mechanics. To find a ‘Newtonian’ law of action and reaction, we must look to Kant’s ‘dynamics,’ or theory of matter. I begin, in part I, by noting marked differences between Newton’s and Kant’s laws of action and reaction. (...) I argue that these are explainable by Kant’s allegiance to a Leibnizian mechanics. I show (in part II) that Leibniz too had a model of action and reaction, at odds with Newton’s. Then I reconstruct how Jakob Hermann and Christian Wolff received Leibniz’s model. I present (in Part III) Kant’s early law of action and reaction for mechanics. I show that he devised it so as to solve extant problems in the Hermann-Wolff account. I reconstruct Kant’s views on ‘mechanical’ action and reaction in the 1780s, and highlight strong continuities with his earlier, pre-Critical stance. I use these continuities, and Kant’s earlier engagement with post-Leibnizians, to explain the un-Newtonian features of his law of action and reaction. (shrink)

A synthetic glance about the basic outlines of Hare's Meta-ethics is offered in this paper to support the idea that Hume's law is still a productive resource for ethical studies. Hare accepted the emotivist premise that moral judgments do not, in the same way as ordinary statements do, state matters of fact that are either true or false, but denied that therefore they must be forms of exclamation. The essential character of moral discourse consisted, not, as the emotivists had held, (...) in its links with subjective attitudes, but with action; moral judgments were prescriptive, in that they expressed commitments to action on the part of the person uttering them, and at the same time their rationality was assured by their universalisability, i.e. their property of applying not merely to the person uttering them, but to all similar persons in similar circumstances. (shrink)

An ongoing mystery in sensory science is how sensation magnitude F(I), such as loudness, increases with increasing stimulus intensity I. No credible, direct experimental measures exist. Nonetheless, F(I) can be inferred algebraically. Differences in sensation have empirical (but non-quantifiable) minimum sizes called just-noticeable sensation differences, ∆F, which correspond to empirically-measurable just-noticeable intensity differences, ∆I. The ∆Is presumably cumulate from an empirical stimulus-detection threshold I_th up to the intensity of interest, I. Likewise, corresponding ∆Fs cumulate from the sensation at the stimulus-detection (...) threshold, F(I_th ), up to F(I). Regarding the ∆Is, however, it is unlikely that all of them will be known experimentally; the procedures are too lengthy. The customary approach, then, is to find ∆I at a few widely-spaced intensities, and then use those ∆Is to interpolate all ∆Is using some smooth continuous function. The most popular of those functions is Weber’s Law, ∆I⁄I=K. But that is often not even a credible approximation to the data. However, there are other equations for ∆I⁄I. Any such equation for ∆I⁄I can be combined with any equation for ∆F, through calculus, to altogether obtain F(I). Here, two assumptions for ∆F are considered: ∆F=B (Fechner’s Law) and (∆F⁄F)=g (Ekman’s Law). The respective integrals involve lower bounds I_th and F(I_th ). This stands in broad contrast to the literature, which heavily favors non-bounded integrals. We, hence, obtain 24 new, alternative equations for sensation magnitude F(I) (12 equations for (∆I⁄I) × 2 equations for ∆F). (shrink)

This dissertation identifies and explains four major contributions of the Laws and related late dialogues to Plato's moral and political philosophy. -/- Chapter 1: I argue that Plato thinks the purpose of laws and other social institutions is the happiness of the city. A happy city is one in which the city's parts, i.e. the citizens, are unified under the rule of intelligence. Unlike the citizens of the Republic, the citizens of the Laws can all share the (...) same true judgments of value, and this unanimity explains the city's unity. Plato thinks that aiming at the city's happiness is justified, moreover, because a unified city contributes to the universe's order. -/- Chapter 2: In the Laws, Plato holds that the sick, poor, ugly, weak, but virtuous are happy, and that health, wealth, beauty, and strength benefit the virtuous but harm the vicious. Only in the Laws does Plato commit himself to all these claims simultaneously, and I explain how the moral psychology of the Laws permits Plato to maintain them coherently. -/- Chapter 3: I argue that, in the Laws, becoming virtuous is the same as becoming like God. Becoming like God does not require escape from the world of change as it does in the Theaetetus, however. Rather, becoming like God requires bringing "measure" or appropriate order to the world of change, especially to those entities over which we have the most control—our own souls. In the Laws, citizens achieve this order as they learn to be just and to understand the nature of reality. -/- Chapter 4: Unlike the Republic and Statesman, the Laws holds that obedience of the citizens to their laws should be effected, if possible, with rational persuasion. I argue that Plato wishes such persuasion to educate the citizens of the reasons for the laws. Understanding the laws' justification is the principal way in which citizens acquire the good judgment necessary for virtue. The city becomes more happy as the citizens progress in virtue, so rational persuasion is a necessary means to the lawgiver's overall aim. (shrink)

The doctrine of vicarious liability provides that an employer is vicariously or indirectly liable for all delicts or violations of the law committed by his or her employees when they are acting in the course and within the scope of their employment at the time when a delict is committed. In simple terms it is law that imposes liability on employers for the wrong doings of their employees. Some of the reasons why it has been justifiable to have this doctrine (...) in the Law of delict, is because employers have greater financial stamina to offset any losses caused by employees and employees work under the instruction of the employer just but to mention a few. (shrink)

I elaborate and defend a "necessitarian" interpretation of Kant's account of laws.

Contemporary Humeans treat laws of nature as statements of exceptionless regularities that function as the axioms of the best deductive system. Such ‘Best System Accounts’ marry realism about laws with a denial of necessary connections among events. I argue that Hume’s predecessor, George Berkeley, offers a more sophisticated conception of laws, equally consistent with the absence of powers or necessary connections among events in the natural world. On this view, laws are not statements of regularities but (...) the most general rules God follows in producing the world. Pace most commentators, I argue that Berkeley’s view is neither instrumentalist nor reductionist. More important, the Berkeleyan Best System can solve some of the problems afflicting its Humean rivals, including the problems of theory choice and Nancy Cartwright’s ‘facticity’ dilemma. Some of these solutions are available in the contemporary context, without any appeal to God. Berkeley’s account deserves to be taken seriously in its own right. (shrink)

The idea that law claims authority (LCA) has recently been forcefully criticized by a number of authors. These authors present a new and intriguing objection, arguing that law cannot be said to claim authority if such a claim is not justified. That is, these authors argue that the view that law does not have authority viciously conflicts with the view that law claims authority. I will call this the normative critique of LCA. In this article, I assess the normative critique (...) of LCA, focusing predominantly on the arguments presented by its most incisive proponent Philip Soper. I defend a twofold conclusion. First, LCA, understood roughly along the lines put forward by Joseph Raz, is part of the most attractive analysis of law. Second, proponents of the normative critique, and in particular Soper, are committed to accepting LCA. (shrink)

Fred Dretske, Michael Tooley, and David Armstrong accept a theory of governing laws of nature according to which laws are atomic states of affairs that necessitate corresponding natural regularities. Some philosophers object to the Dretske/Tooley/Armstrong theory on the grounds that there is no illuminating account of the necessary connection between governing law and natural regularity. In response, Michael Tooley has provided a reductive account of this necessary connection in his book Causation (1987). In this essay, I discuss an (...) improved version of his account and argue that it fails. First, the account cannot be extended to explain the necessary connection between certain sorts of laws—namely, probabilistic laws and laws relating structural universals—and their corresponding regularities. Second, Tooley’s account succeeds only by (very subtly) incorporating primitive necessity elsewhere, so the problem of avoiding primitive necessity is merely relocated. (shrink)

In the ‘Appendix to the Transcendental Dialectic’ of the Critique of Pure Reason, Kant contends that the idea of God has a positive regulative role in the systematization of empirical knowledge. But why is this regulative role assigned to this specific idea? Kant’s account is rather opaque and this question has also not received much attention in the literature. In this paper I argue that an adequate understanding of the regulative role of the idea of God depends on the specific (...) metaphysical content Kant attributes to it in the Critique and other writings. I show that neither a heuristic principle of conceptual systematicity, nor conceiving God as a hypothesis of an intelligent designer, can satisfy the demands of reason to make the unity and necessity of the laws of nature intelligible. Regarding the positive account about the metaphysical content of the idea of God, I support my argument by referring to Kant’s pre-critical discussion of the usefulness of the conception of God for the project of science, and by expounding Kant’s critical account of the necessity of the laws of nature. Thus my account sheds light on the continuity of Kant’s conception of God and his appropriation of his own rationalistic metaphysics. (shrink)

We reconstruct Kuhn’s philosophy of measurement and data paying special attention to what he calls the “fifth law of thermodynamics”. According to this "law," there will always be discrepancies between experimental results and scientists’ prior expectations. The history of experiments to determine the values of the fundamental constants offers a striking illustration of Kuhn’s fifth law of thermodynamics, with no experiment giving quite the expected result. We highlight the synergy between Kuhn’s view and the systematic project of iteratively determining the (...) value of physical constants, initiated by spectroscopist Raymond Birge, that was ongoing when Kuhn joined Berkeley in 1956. Our analysis sheds light on various underappreciated aspects of Kuhn’s thought, especially his notion of progress as improvement in measurement accuracy. (shrink)

The central thesis of this paper is that the scope and structure of Hume's Treatise of Human Nature is modelled, or planned, after that of Hobbes's The Elements of Law and that in this respect there exists an important and unique relationship between these works. This relationship is of some importance for at least two reasons. First, it is indicative of the fundamental similarity between Hobbes's and Hume's project of the study of man. Second, and what is more important, by (...) recognizing this relationship between Hume's and Hobbes's works we can come to appreciate the unity of the project of the Treatise itself. My discussion will proceed in three stages. In section I present the evidence for my central thesis. In the second section I shall consider why Hume does not, as one might expect, acknowledge this important debt to Hobbes in the Introduction to the Treatise or in the Abstract. Finally, in the third section I shall note a few points of some importance to the understanding of Hume's philosophy which this relationship between Hobbes's and Hume's work touches upon. (shrink)

The following essay reconsiders the ontological and logical issues around Frege’s Basic Law (V). If focuses less on Russell’s Paradox, as most treatments of Frege’s Grundgesetze der Arithmetik (GGA)1 do, but rather on the relation between Frege’s Basic Law (V) and Cantor’s Theorem (CT). So for the most part the inconsistency of Naïve Comprehension (in the context of standard Second Order Logic) will not concern us, but rather the ontological issues central to the conflict between (BLV) and (CT). These ontological (...) issues are interesting in their own right. And if and only if in case ontological considerations make a strong case for something like (BLV) we have to trouble us with inconsistency and paraconsistency. These ontological issues also lead to a renewed methodological reflection what to assume or recognize as an axiom. (shrink)