For anyone approaching the Encheiridion of Epictetus for the first time, this book provides a comprehensive guide to understanding a complex philosophical text. Including a full translation and clear explanatory commentaries, Epictetus's 'Encheiridion' introduces readers to a hugely influential work of Stoic philosophy. Scott Aikin and William O. Stephens unravel the core themes of Stoic ethics found within this ancient handbook. Focusing on the core themes of self-control, seeing things as they are, living according to nature, owning one's roles (...) and fulfilling the responsibilities that those roles entail, the authors elucidate the extremely challenging ideas in Epictetus's brisk chapters. Divided into five distinct parts, this book provides readers with: -/- - A new translation of the Encheiridion by William O. Stephens. - A new introduction to ancient Stoicism, its system of concepts, and the ancient figures who shaped it. - A fresh treatment of the notorious and counter-intuitive 'Stoic paradoxes'. - An accessible overview of the origin and historical context of the Encheiridion. - Detailed commentaries on each chapter of the Encheiridion that clarify its recurring themes and highlight their interconnections. - Careful attention to the presentation of the arguments embedded in Epictetus's aphoristic style. - A thoughtful discussion of serious criticisms of Epictetus's Stoicism and replies to these objections. -/- Written with clarity and authority, Epictetus's 'Encheiridion' provides a foundation from which readers can understand this important text and engage with the fundamental questions of Stoic philosophy and ethics. This guide will aid teachers of Epictetus, students encountering Stoicism for the first time, and readers seeking a greater understanding of Stoic ethics. (shrink)

In the Prolegomena to De Jure Belli ac Pacis, Hugo Grotius expounds his theory of natural law by way of reply to a skeptical challenge from the Greek Academic Carneades. Though this dialectical context is undeniably important for understanding Grotian natural law, commentators disagree about the substance of Carneades’s challenge. This paper aims to give a definitive reading of Carneades’s skeptical argument, and, by reconstructing Grotius’s reply, to settle some longstanding debates about Grotius’s conception of natural law. I argue that (...) Grotius held a Stoic view of natural law, endorsing both the doctrine of eudaimonism and the claim that moral obligations are natural, not grounded in divine command. Consequently, Grotius’s view of natural law has more continuity with pre-modern, indeed ancient, morality than is usually supposed. However, I argue that we can still understand Grotius as a founder of modern moral philosophy. (shrink)

Introduction to the Special Volume, “Method, Science and Mathematics: Neo-Kantianism and Analytic Philosophy,” edited by Scott Edgar and Lydia Patton. At its core, analytic philosophy concerns urgent questions about philosophy’s relation to the formal and empirical sciences, questions about philosophy’s relation to psychology and the social sciences, and ultimately questions about philosophy’s place in a broader cultural landscape. This picture of analytic philosophy shapes this collection’s focus on the history of the philosophy of mathematics, physics, and psychology. The following (...) essays uncover, reflect on, and exemplify modes of philosophy that are engaged with these allied disciplines. They make the case that, to the extent that analytic philosophers are still concerned with philosophy’s ties to these disciplines, we would do well to pay attention to neo-Kantian views on those ties. (shrink)

Scott Aikin, Tempest Henning Download PDF.

European Journal of Philosophy, Volume 30, Issue 1, Page 148-168, March 2022.

The two greatest mathematicians of the early twentieth century, David Hilbert and Henri Poincaré transformed the mathematics of their time. Their personal interaction was infrequent, until Hilbert invited Poincaré to deliver the first Wolfskehl Lectures in Göttingen in the spring of 1909. A correspondence ensued, which fixed the content and timing of the lecture series. A close reading of the exchange throws light on what Hilbert wanted Poincaré to talk about, and on what Poincaré wanted to present to Hilbert and (...) his colleagues. To answer the latter question, reference is made to the published version of Poincaré’s six talks, with a focus on two of them, concerning the propagation of Hertzian waves, and the theory of relativity. (shrink)

In this paper, I will argue for a complex of three theses. First, that the problem of deep disagreement is an instance of the regress problem of justification. Second, that the problem of deep disagreement, as a regress problem, depends on a dialecticality requirement for arguments. Third, that the dialecticality requirement is plausible and defensible.

Maureen Donnelly has recently argued that directionalism, the view that relations have a direction, applying to their relata in an order, is unable to properly treat certain symmetric relations. She alleges that it must count the application of such a relation to an appropriate number of objects in a given order as distinct from its application to those objects in any other ordering of them. I reply by showing how the directionalist can link the application conditions of any fixed arity (...) relation, no matter its arity or symmetry, and its converse(s) in such a way that directionalism will yield the correct ways in which it can apply. I thus establish that directionalism possesses the same advantage Donnelly's own account of relations, relative positionalism, has over traditional positionalist accounts of relations, which do not properly treat symmetric relations. I then note some advantages that directionalism has over its closest competitors. This includes Donnelly's relative positionalism, since directionalism is not, like relative positionalism, committed to the involvement of relative properties in every irreducibly relational claim. I close by conceding that, as Donnelly notes, directionalism is committed to the primitive relation of order-sensitive relational application. But I don't find this notion as mysterious as Donnelly does. I conclude that, even if one construes this feature of directionalism as a drawback, the two views are at worst at a draw, other things being equal, since this drawback is mitigated by the advantage directionalism has over relative positionalism. (shrink)

There are two ways to characterize symmetric relations. One is intensional: necessarily, _Rxy_ iff _Ryx_. In some discussions of relations, however, what is important is whether or not a relation gives rise to the same completion of a given type (fact, state of affairs, or proposition) for each of its possible applications to some fixed relata. Kit Fine calls relations that do ‘strictly symmetric’. Is there is a difference between the notions of necessary and strict symmetry that would prevent them (...) from being used interchangeably in such discussions? I show that there is. While the notions coincide assuming an intensional account of relations and their completions, according to which relations/completions are identical if they are necessarily coinstantiated/equivalent, they come apart assuming a hyperintensional account, which individuates relations and completions more finely on the basis of relations’ real definitions. I establish this by identifying two definable relations, each of which is necessarily symmetric but nonetheless results in distinct facts when it applies to the same objects in opposite orders. In each case, I argue that these facts are distinct because they have different grounds. (shrink)

Many philosophers, psychologists, and medical practitioners believe that killing is no worse than letting die on the basis of James Rachels's Bare-Difference Argument. I show that his argument is unsound. In particular, a premise of the argument is that his examples are as similar as is consistent with one being a case of killing and the other being a case of letting die. However, the subject who lets die has both the ability to kill and the ability to let die (...) while the subject who kills lacks the ability to let die. Modifying the latter example so that the killer has both abilities yields a pair of cases with morally different acts. The hypothesis that killing is worse than letting die is the best explanation of this difference. (shrink)

This research examines the most important historical, political, economic, social, cultural, and religious factors before, during, and after the reign of Communism in Czechoslovakia from 1918 to 2021 and their effect on the extreme increase in atheism and decrease in Christianity, particularly Roman Catholicism, in the present-day Czech Republic. It devotes special attention to the role of the Clandestine Catholic Church (Ecclesia Silentii) and the changing policies of the Holy See vis-à-vis this Church, examining these policies' impact on the continuing (...) decline of Roman Catholicism in the Czech Republic after the collapse of Communism. The article also deals with Pope Pius XII's Secret Mandates of 1948-1950, the Second Vatican Council, and the Holy See's Ostpolitik. Scholars, who previously relied only on the views of the Czechs, blame the unprecedented drop in Christianity, the near-total destruction of the Catholic Church, and the rise in atheism on the Czechoslovak communist government's four decades of totalitarianism. Although the increase in atheism and decrease in Christianity were substantial during the era of Communism from 1948 to 1989, our data indicate that the decline in Christianity, particularly the historically predominating Roman Catholicism, did not commence with the 1948 communist coup d’état but traces its origins to the breakdown of the Austro-Hungarian Empire after the conclusion of WWI and the establishment of Czechoslovakia on October 28, 1918. What's more, this research shows that the most significant and unprecedented steep deterioration of the Christian Faith, namely Roman Catholicism, did not occur during the era of Communism but only after the Czechoslovak communist government collapsed in 1989. This massive decay did not happen even during the most extraordinary communist persecution of the Catholic Church during the era of Stalinism in Czechoslovakia. This research further finds that the Holy See's ill-advised policies and systematic, sustained, and prevalent failures in leadership, guidance, and teachings are responsible for the near destruction of the Roman Catholic Church and especially the end destruction of the Clandestine Catholic Church (Ecclesia Silentii), in the Czech and Slovak Republics after the fall of Communism. These failures furthermore contributed to the Czech Republic, the historical lands of Bohemia and Moravia that once were in the center of Christendom, degenerating into the most atheist country in Europe and the world today. (shrink)

I defend a new version of the non-identity theodicy. After presenting the theodicy, I reply to a series of objections. I then argue that my approach improves upon similar approaches in the literature.

According to directionalism, non-symmetric relations are distinct from their converses. Kit Fine (2000) argues that the directionalist faces a dilemma; they must either (i) reject the principle Uniqueness, which states that no completion (fact, state of affairs, or proposition) is a completion of more than one relation, or (ii) reject the principle Identity, which states that each completion of a relation is identical to a completion of its converse (e.g., Dante’s loving Bice is identical to Bice’s being loved by Dante). (...) Fine’s argument has been regarded as a decisive blow to directionalism. But new strategies for replying to it can be developed with the tools of the postmodal metaphysician, who is comfortable individuating relations and their completions hyperintensionally, allowing for necessary connections between distinct entities, and making use of hyperintensional notions like essence and grounding. In what follows, I develop postmodal strategies for denying both horns of Fine’s dilemma, concluding that the postmodal directionalist need not be concerned with Fine’s argument. (shrink)

One might think that if the majority of virtue signallers judge that a proposition is true, then there is significant evidence for the truth of that proposition. Given the Condorcet Jury Theorem, individual virtue signallers need not be very reliable for the majority judgment to be very likely to be correct. Thus, even people who are skeptical of the judgments of individual virtue signallers should think that if a majority of them judge that a proposition is true, then that provides (...) significant evidence that the proposition is true. We argue that this is mistaken. Various empirical studies converge on the following point: humans are very conformist in the contexts in which virtue signalling occurs. And stereotypical virtue signallers are even more conformist in such contexts. So we should be skeptical of the claim that virtue signallers are sufficiently independent for the Condorcet Jury Theorem to apply. We do not seek to decisively rule out the relevant application of the Condorcet Jury Theorem. But we do show that careful consideration of the available evidence should make us very skeptical of that application. Consequently, a defense of virtue signalling would need to engage with these findings and show that despite our strong tendencies for conformism, our judgements are sufficiently independent for the Condorcet Jury Theorem to apply. This suggests new directions for the debate about the epistemology of virtue signalling. (shrink)

The paper examines one of the considerations that determines the extent to which policymakers pursue the objec- tives demanded by constituents. The nature and extent of their ignorance serve to determine the incentives confronted by policymakers to pursue their constituents’ demands. The paper also considers several other consequences of policymaker ig- norance and its relationship to expert failure.

The ancient Stoics had an uneven track record with regard to women’s standing. On the one hand, they recognized women as fully capable of rationality and virtue. On the other hand, they continued to hold that women’s roles were in the home. These views are consistent, given Stoic value theory, but are unacceptable on liberal feminist grounds. Stoic value theory, given different emphasis on the ethical role of choice, is shown to be capable of satisfying the liberal feminist requirement that (...) autonomy must be respected. In turn, a model for Stoic feminism is proposed. (shrink)

In Bertrand Russell's 1903 Principles of Mathematics, he offers an apparently devastating criticism of the neo-Kantian Hermann Cohen's Principle of the Infinitesimal Method and its History (PIM). Russell's criticism is motivated by his concern that Cohen's account of the foundations of calculus saddles mathematics with the paradoxes of the infinitesimal and continuum, and thus threatens the very idea of mathematical truth. This paper defends Cohen against that objection of Russell's, and argues that properly understood, Cohen's views of limits and infinitesimals (...) do not entail the paradoxes of the infinitesimal and continuum. Essential to that defense is an interpretation, developed in the paper, of Cohen's positions in the PIM as deeply rationalist. The interest in developing this interpretation is not just that it reveals how Cohen's views in the PIM avoid the paradoxes of the infinitesimal and continuum. It also reveals some of what is at stake, both historically and philosophically, in Russell's criticism of Cohen. (shrink)

Some commentators on Hermann Cohen have remarked on what they take to be a puzzle about the origins of his mature anti-psychologism. When Cohen was young, he studied a kind of psychology, the Völkerpsychologie of Moritz Lazarus and Heymann Steinthal, and wrote apparently psycholgistic accounts of knowledge almost up until the moment he first articulated his anti-psychologistic neo-Kantianism. To be sure, Cohen's mature anti psycholgism does constitute a rejection of certain central commitments of Völkerpsychologie. However, the relation between Völkerpsychologie and (...) Cohen's mature anti-psychologism is not one of straightforward opposition. This paper argues that Cohen had significantly less distance to travel than it appears to get from his early Völkerpsychologie to his mature anti-psychologism. In particular, this paper argues that Cohen always had an anti-psychologistic account of knowledge, even during the period when he was studying Völkerpsychologie, and further, that key features of his Völkerpsychologie partly shaped his mature account of knowledge. Finally, the paper identifies how Cohen’s views did change over the transition from his völkerpsychological period to his later anti-psychologism. It thus identifies what changes in Cohen’s views do need to be explained. (shrink)

Scholarly attempts to analyze the history of science sometime suffer from an imprecise use of terms. In order to understand accurately how science has developed and from where it draws its roots, researchers should be careful to recognize that epistemic regimes change over time and acceptable forms of knowledge production are contingent upon the hegemonic discourse informing the epistemic regime of any given period. In order to understand the importance of this point, I apply the techniques of historical epistemology to (...) an analysis of the place of the study of astrology in the medieval and early modern periods alongside a discussion of the “language games” of these period as well as the role of the “archeology of knowledge” in uncovering meaning in our study of the past. In sum, I argue that the term “science” should never be used when studying approaches to knowledge formation prior to the seventeenth century. (shrink)

I present a counterexample to Kirk-Giannini’s Dilemmatic Theory of gaslighting.

There is a wealth of evidence which indicates that arguments are not very efficient tools for changing minds. Against this scepticism, Dutilh Novaes (2023) presents evidence that, given the right social context, arguments sometimes play a significant role in belief revision. However, drawing on Levy (2021), I argue that the evidence Dutilh Novaes cites is compatible with the view that it is not arguments that change individual minds but instead belief outsourcing that occurs alongside the consideration of arguments.

In an important and widely cited paper, Zerilli, Knott, Maclaurin, and Gavaghan (2019) argue that opaque AI decision makers are at least as transparent as human decision makers and therefore the concern that opaque AI is not sufficiently transparent is mistaken. I argue that the concern about opaque AI should not be understood as the concern that such AI fails to be transparent in a way that humans are transparent. Rather, the concern is that the way in which opaque AI (...) is opaque is very different than the way in which humans are opaque. What matters is the degree to which the opaque processes of a class of decision makers are stable, uniform, and safe. The degree to which such processes have these features in humans is higher than the degree to which such processes have these features in opaque AI. And therefore we should require AI to be more transparent than humans. (shrink)

Several prominent theorists have recently advocated reconceptualizing rape as “nonconsensual sex,” omitting the traditional “force” element of the crime. I argue that such a conceptualization fails to capture what is distinctively problematic about rape for women and why rape is pivotal in supporting women’s gender oppression. I argue that conceptualizing rape as coerced sex can replace both the force and nonconsent elements and thereby remedies some of the main difficulties with extant definitions, especially in recognizing “acquaintance” rape as such. I (...) argue that this approach helps explain its distinctive badness both for the individual victims and for women as a group. (shrink)

In 1947 Donald Cary Williams claimed in The Ground of Induction to have solved the Humean problem of induction, by means of an adaptation of reasoning first advanced by Bernoulli in 1713. Later on David Stove defended and improved upon Williams’ argument in The Rational- ity of Induction (1986). We call this proposed solution of induction the ‘Williams-Stove sampling thesis’. There has been no lack of objections raised to the sampling thesis, and it has not been widely accepted. In our (...) opinion, though, none of these objections has the slightest force, and, moreover, the sampling thesis is undoubtedly true. What we will argue in this paper is that one particular objection that has been raised on numerous occasions is misguided. This concerns the randomness of the sample on which the inductive extrapolation is based. (shrink)

If moral properties lacked causal powers, would moral skepticism be true? I argue that it would. Along the way I respond to various arguments that it would not.

Recent accounts of coercion can be mapped onto two different axes: whether they focus on the situation of the coercee or the activities of the coercer; and whether or not they depend upon moral judgments in their analysis of coercion. Using this analysis, I suggest that almost no recent theories have seriously explored a non-moralized, coercer-focused approach to coercion. I offer some reasons to think that a theory in this underexplored quadrant offers some important advantages over theories confined to the (...) other quadrants. In particular I suggest that much of our interest in coercion depends on facts about the coercer, such as the sorts of powers coercers must possess to be able to coerce, and on the coercer's intention in using those powers to constrain or alter the coercee's activities. (shrink)

In recent analytic literature on the Trinity we have seen a variety of "social" models of the Trinity. By contrast there are few "non-­‐social" models. One prominent "non-­‐social" view is Brian Leftow's "Latin Trinity." I argue that the name of Leftow's model is not sufficiently descriptive in light of diverse models within Latin speaking theology. Next, I develop a new "non-­‐social" model that is inspired by Richard of St. Victor's description of a person in conjunction with my appropriating insights about (...) indexicals from David Kaplan and John Perry. I point out that the copula in tokens of statements like, "I am the Father," is an ambiguous term and when used by a certain divine person a different proposition is affirmed. Central to this model is the claim that the copula bears the "is of identity" and the "is of numerical sameness without identity." Further, I show that Leftow's model employs two concepts of "person," a Lockean one and a Boethian one, and mine employs Richard of St. Victor's. I describe Leftow's model as a "hard non-­‐social" model and mine as a "soft non-­‐social" model that is nearer to some social models. I conclude that Leftow's model is not the lone candidate among "non-­‐social" models and that the variety of "non-­‐social" models has yet to be exhausted. (shrink)

Epistemic infinitism is the view that infinite series of inferential relations are productive of epistemic justification. Peirce is explicitly infinitist in his early work, namely his 1868 series of articles. Further, Peirce's semiotic categories of firsts, seconds, and thirds favors a mixed theory of justification. The conclusion is that Peirce was an infinitist, and particularly, what I will term an impure infinitist. However, the prospects for Peirce's infinitism depend entirely on the prospects for Peirce's early semantics, which are not good. (...) Peirce himself revised the semantic theory later, and in so doing, it seems also his epistemic infinitism. (shrink)

Have you ever thought about how self-consciousness (self-awareness) originated in the universe? Understanding consciousness is one of the toughest "nuts to crack." In recent years, scientists and philosophers have attempted to provide an answer to this mystery. The reason for this is simply because it cannot be confined to solely a materialistic interpretation of the world. Some scientific materialists have suggested that consciousness is merely an illusion in order to insulate their worldviews. Yet, consciousness is the most fundamental thing we (...) know, even more so than the external world since we require it to perceive or think about anything. Without it, reasoning would be impossible. Dr. Scott Ventureyra, in this ground-breaking book, explores the idea of the Christian God and Creation in order to tackle this most difficult question. He demonstrates that theology has something significant to offer in reflection of how consciousness originated in the universe. He also makes a modest claim that the Christian conception of God and Creation provide a plausible account for the origin of self-consciousness. He integrates philosophy, theology, and science in an innovative way to embark on this exploration. (shrink)

Ralph Johnson has proposed a “two tiered” conception of argument, comprising of the illative core and the dialectical tier. This paper's two-part thesis is that (i) the dialectical tier is best understood as an epistemic requirement for argument, and (ii) once understood epistemically, the dialectical tier requirement can be defended against the leading objections.

For any essential property God has, there is an ability He does not have. He is unable to bring about any state of affairs in which He does not have that property. Such inabilities seem to preclude omnipotence. After making trouble for the standard responses to this problem, I offer my own solution: God is not omnipotent. This may seem like a significant loss for the theist. But I show that it is not. The theist may abandon the doctrine that (...) God is omnipotent without scaling back the extent of His power and without denying that He has all perfections. (shrink)

The rhetorical theory of argument, if held as a conclusion of an argument, is self-defeating. The rhetorical theory can be refined, but these refinements either make the theory subject to a second self- defeat problem or tacitly an epistemic theory of argument.

The paper defends the thesis that our epistemic duty is the duty to proportion our beliefs to the evidence we possess. An inclusive view of evidence possessed is put forward on the grounds that it makes sense of our intuitions about when it is right to say that a person ought to believe some proposition P. A second thesis is that we have no epistemic duty to adopt any particular doxastic attitudes. The apparent tension between the two theses is resolved (...) by applying the concept of duty to belief indirectly. (shrink)

Homeopathic medications are used by millions, and hundreds of millions of dollars are spent on these remedies in the USA alone. In the UK, the NHS covers homeopathic treatments. Nonetheless, homeopathy is held in considerable disrepute by much of the medical and scientific community.Many proponents of homeopathy are well aware of these criticisms but remain unimpressed. The differences of opinion run deep, and the debate seems deadlocked. We aim to shed some light on this situation. We briefly recap some of (...) the major arguments on each side, but we try to go further by making explicit an underlying philosophical presupposition. In particular, we will claim that there is an important principle, which has ancient roots going back at least to Occam, some version of which constrains all empirical reasoning.We call this constraint the simplicity principle.We argue that this is not something specific to a scientific paradigm, but that, all of us, including proponents of homeopathy, are themselves deeply committed to the simplicity principle. However, once the simplicity principle is made explicit and applied to homeopathy, allegiance to homeopathy is clearly seen as irrational. The point is not merely the lack of clinical trials supporting homeopathy; rather, belief in the efficacy of homeopathy leaves a mountain of unexplained mysteries, and thereby flies in the face of the simplicity rule that guides the homeopaths’ own reasoning and arguments. If nothing else, we hope that defenders of homeopathy will gain a greater understanding of why critics are so deeply reluctant to accept the efficacy of homeopathic interventions – and that this reluctance is not mere stubbornness or artificial allegiance to western medicine. Finally, we also hope thereby to illustrate the usefulness of philosophy in unearthing presuppositions in seemingly deadlocked debates. (shrink)

Some philosophers defend the view that epistemic agents believe by lending credence. Others defend the view that such agents lend credence by believing. It can strongly appear that the disagreement between them is notational, that nothing of substance turns on whether we are agents of one sort or the other. But that is demonstrably not so. Only one of these types of epistemic agent, at most, could manifest a human-like configuration of attitudes; and it turns out that not both types (...) of agent are possible. (shrink)

I examine the history of the concept of spontaneity in philosophy and the social sciences, particularly as it relates to monetary phenomena. I then offer an argument for the general significance of spontaneity. The essay concludes that scholars across the humanities and social sciences, whatever their (disciplinary, political, ideological, etc.) persuasion, would be well-served to further develop the theory of spontaneity and its social effects.

In recent years, the notion of wilderness has been roundly criticized by several prominent environmental philosophers and historians. They argue that the “received wilderness idea” is dualistic, ethnocentric, and static. According to these critics, this idea of wilderness finds clear expression in the Wilderness Act of 1964. However, the idea of wilderness so ably deconstructed by its critics bears little resemblance to the understanding of wilderness presented in the Wilderness Act. The critics assume a backward-looking, purity-based definition of wilderness that (...) runs counter to the forward-looking, relativistic interpretation of the Wilderness Act that has guided and informed subsequent wilderness legislation, management, and visitation. Under the Wilderness Act, wilderness designation is less a matter of preserving remnants of “pristine” nature than establishing a covenant between humans and a particular place. Wilderness areas, so conceived, serve as potential sabbath places, whose ultimate significance is best understood in terms of their mutually informing relationship to the places where we live and work. Rather than detracting from our efforts to inhabit the Earth in more creative and sustainable ways, wilderness represents a vital part of larger landscapes of human inhabitation characterized by a diverse mixture of human-nature relational patterns. (shrink)

In this paper I present a new objection to the Aristotelian Naturalism defended by Philippa Foot. I describe this objection as a membership objection because it reveals the fact that AN invites counterexamples when pressed to identify the individuals bound by its normative claims. I present three examples of agents for whom the norms generated by AN are not obviously authoritative: mutants, aliens, and the Great Red Dragon. Those who continue to advocate for Foot's view can give compelling replies to (...) the first two of these examples, but their replies drive the view into an unwelcome result when it faces the last example. I conclude that the concept of being human, on which AN crucially depends, is not as straightforward as Foot's advocates presume. (shrink)

I defend a solution to the puzzle of petitionary prayer based on some ideas of Aquinas, Gregory the Great, and contemporary desert theorists. I then address a series of objections. Along the way broader issues about the nature of desert, what is required for an action to have a point, and what is required for a puzzle to have a solution are discussed.