This study emphasizes the importance of enhancing food safety and hygiene practices among sidewalk vendors to safeguard public health in Balayan Public Market. Employing a mixed-methods approach, with both quantitative and qualitative components, a diverse sample of 55 consumers, 5 sidewalk vendors, and 5 market administrators was selected using a combination of purposive and random sampling techniques under non-probability sampling. Microbial investigations were conducted during both the initial sampling and testing phase (A) and subsequent sampling and testing phase (B) on (...) popular street food items at Lipa Quality Control Inc., including chicken nuggets, chicken nugget sauce (sweet and vinegar), Isaw, Isaw sauce, Proben, Proben sauce, Calamares, Calamares Vinegar Sauce, Kwek- Kwek, and Kwek-Kwek sauce. The findings reveal that “Isaw and Chicken Nuggets Sauce (Sweet)” had a result of “Too Numerous To Count (TNTC),” indicating an extraordinarily high bacteria count. This underscores the imperative need to raise awareness and provide targeted guidance to sidewalk vendors regarding essential food handling, storage, and sanitation practices. Therefore, a sanitary action plan is developed to promote community engagement, educational initiatives, and regulatory support, enhancing food safety practices among sidewalk vendors and ensuring a safer and healthier food environment. (shrink)

Deleuze is prominent among those philosophers who pronounce that difference must be understood as ontologically prior to identity. He teaches that identity is a surface effect of difference, so to understand the basis of logico-mathematical idealities we must uncover their genesis in the fecundity of differentiation. Deleuze wants to offer a foundation of number and mathematics as a subversive, creative force, an affirmation of Nietzsche’s eternal return as the ‘roll of the dice’. But he begins too late. For Deleuze, virtual (...) intensities (Eternal Return) generate the logical , conceptual, theoretical, lawful principles for empirical domains, and then are held steady in the background, beyond the reach of the conceptual and logical patterns, which cancel them by freezing and isolating them. Applying Heidegger’s deconstruction of Nietzschean subjectivity to Deleuze’s project reveals intensities to function as subjective enframings of the species and parts that develop from them. Intensive processes posit , set in place and represent the qualities that steadily remain throughout the calculation of difference in degree. Deleuze does not appear to recognize that the iteration of extensive quantity is devoid of meaningful sense. His failure to make this distinction leads him to confuse mathematical with non-mathematical idealities and prevents him from locating the fundamental sense of extensive duration. What Husserl, and Heidegger after him, recognized is that numeration never counts anything but its own self-iteration, devoid of sense and meaning outside of the empty ‘same thing, different time’. To experience an object as meaningful beyond this ‘how much’ is to no longer attend to it as calculative, countable iteration, as persisting self-identical presence. What holds only for intensities in Deleuze’s understanding of the structure of time, that every change in degree is simultaneously a difference in kind, constitutes the irreducible, absolute essence of all duration. (shrink)

The following are the characteristics of a genus: 1. Those to which the same figure of predication applies are one in genus. (Met. , Δ, 1016b32-35) 2. Things that are one in genus are all one by analogy while things that are one by analogy are not all one in genus. (Met, Δ, 1016b35-1017a3) 3. A genus includes contraries. (Met., Δ, 1018a25-31) 4. All the intermediates are in the same genus as one another and as the things they stand between. (...) (Met., I, 1057a18-30; 1057b31-34) 5. Not every predicate is a genus of what it is predicated on; for this would equate a genus with one of its own species. (PsA., A, 22, 83b7-10) 6. The opposite of the genus should always be the genus of the opposite. (To., Δ, 4, ^125a27-29) 7. A genus divides the object from other things. (To., Z, 3, 140a^24) 8. None of unity and being is a genus. (Met., B, 998b22-27; Met., K, 1059b31-34; PsA., B, 7, 92b12-14) 9. There is no necessity or even no possibility that things that are the same specifically or generically should be numerically the same. (To., H, I, 152b30-) 10. To be called one due to having one genus is in a way similar to be one due to having the same matter. (Met., Δ, 1016a24-28) 11. The substance of a thing involves its genus, and thereby all the higher genera are predicated of the lower. (To., Z, 5, 143a^20- ) 12. Being falls immediately into genera. (Met., Γ, 1004a4-6) A. Characteristics of relations between genera The characteristics of relations between genera, the relations between genera and species excluded, are as follows: 1. Genus is not an element in the composition of things. (Met., I, 1057b20-22) 2. Things resulting from the same division of the same genus are simultaneous by nature. (Cat., 13, 15a3-4) 3. Processes of proof cannot pass from one genus to another. (PsA., A, 23, 84b14-18) 4. It is not necessary for subordinate genera to have different accounts. (To., I, 15, ^107a19-) E.g. when we say a raven is a bird, we also say it is a certain kind of animal. 5. It is necessary for genera that are not subordinate one to the other to have different accounts. (To., I, 15, ^107a27-30) E.g. whenever we call a thing an engine, we do not call it an animal, nor vice versa. 6. If one of the genera is predicated in what it is, all of them, both higher and lower than this one, if predicated at all of the species, will be predicated of it in what it is; so that what has been given as genus is also predicated in what it is. (To., Δ, 2, ^122a10) 7. The same object cannot occur in two genera of which neither contains the other. (To., Z, 139b32-140a2) 8. Those to which the same figure (σχῆμα) of predication applies, are the same in genus. (Met., Δ, 1016b32-35) 9. Attributes that inhere always in each several things can be divided to two groups: those that are wider in extent but not wider than its genus and those wider than its genus. (PsA., B, 13, 96a24-27) 10. The relation between A and B must be extendable in respect of all the genera of A. Thus, if A is double of B, it must also be in excess, the genus of double, to B. Aristotle accepts, however, that this may be objectable in some cases: while knowledge is called knowledge of an object of knowledge, it cannot be called a state and disposition (which is the genus of knowledge) of an object of knowledge. In fact, it is a state and disposition of the soul. (To., Δ, 4, 124b28-34) B. Characteristics of species The following are the characteristics of species: 1. Things are said to be other in species if they are of the same genus but are not subordinate the one to the other. (Met., Δ, 1018a38-b2; Met., I, 1057b35-37) 2. Contraries are other than one another in species. (Met., Δ, 1018b5-7; Met., I, 1058b26-) 3. It is not sufficient for a difference to be the basis of distinguishing species in a genus because it belongs to the genus in virtue of its nature as, e.g., the difference between men and women belongs to animal in virtue of its nature. It must also be a modification peculiar to the genus (οἰκεῖα πάθη τοῦ γένους) in the strongest sense. (Met., I, 1058a29-37) Thus, contraries which are in the formula (ἐν τῷ λόγῳ) make a difference in species, but those which are in the compound material thing do not make one as e.g. being male and female is a difference in matter. (Met., I, 1058a37-b23) 4. Some things are peculiar to the species as distinct from genus: there are attributes peculiar to each distinct species. (PrA., A, 27, 43b27-29) 5. There is no necessity or even no possibility that things that are the same specifically should be the same numerically. (To., H, I, 155b30-) C. Characteristics of relations between genera and species The following are the characteristics of relations between genera and their species: 1. Although species predicated of individuals seem to be principles rather than the genera, it is hard to say, Aristotle asserts, in what sense species are to be taken as principles. (Met., B, 999a14-21) 2. Things that are one in species are all one in genus, while things that are one in genus are not all one in species. (Met., Δ, 1016b35a1) 3. The relation of a species to its genus is like the relation of primary substance to all others: the species is a subject for the genus (ὑπόκειται γὰρ τὸ εἴδος τῷ γένει) and the genera are predicated of the species but the species are not predicated of them. (Cat., 5, 2b17-22) 4. Of the species themselves- those which are not genera- one is no more a substance than another: a certain horse is no more a substance than another horse. (Cat., 5, 2b22-26) 5. Genera are prior to species since they do not reciprocate as to implication of existence (κατὰ τὴν τοῦ εἶναι ἀκολούθησιν). For example, if there is a fish there is an animal, but if there is an animal there is not necessarily a fish. (Cat., 13, 15a4-7) 6. What belongs both to a species and to its genus, it belongs to the species more properly indeed than to the genus. (PrA., A, 27, 43b29-32) 7. A predicate drawn from the genus is never ascribed to the species in a derived form and as its genus. Thus, e.g. coloured cannot be a genus of ‘white’ when we say ‘white is coloured.’ (To., B, I, ^109b1-5) 8. Genera are predicated of their species synonymously because the species take on both the name and the account of their genera. (To., B, I, ^109b3-6) 9. All the attributes that belong to the species belong to the genus as well but there is no necessity that all the attributes that belong to the genus should belong also to the species. (To., B, 4, 111a20-32) 10. Those things of which the genus is predicated must also of necessity have one of its species predicated of them. (To., B, 4, 111a33-) 11. The higher genus should be predicated of the species in what it is. (To., Δ, 2, ^122a6) 12. The species, or any of the things which are under the species, is not predicated of the genus because the genus is the term with the widest range of all. (To., Z, 6, 144a27f.) 13. The same species cannot be in two genera neither of which contains the other. (To., Z, 6, 144b14f.) 14. None of the species of a genus is prior or posterior to other species but they are thought to be simultaneous by nature. (Cat., 13, 14b38-15a1) 15. Daniel W. Graham points that sometimes Aristotle speaks of species as classes (Cat., 5, 2a14-17) and sometimes as properties or a certain character (ποιόν τι) of substances, which is difficult to be distinguished from the category of quality. (Cat., 3b13-22) D. Characteristics of differentia 1. The last differentia will be the substance, the definition and the form of the thing. (Met., Z, 1038a18-28) 2. If we divide according to accidental qualities, there will be as many differentiae as there are processes of division. (Met., Z, 1038a25-28) 3. The differentia divides the object from any of the things contained in the same genus. (To., Z, 3, 140a24-) 4. A. C. Lloyd argues that Aristotle’s logic of classification contains a vicious circle because: ‘For a genus to be predicated unequivocally and essentially of a species the specific differentiae have to be ‘appropriate’; but in order to know whether a proposed differentia is appropriate we have to know whether the genus is predicable essentially of the species thus defined.’ The predication of differentia on primary substance seems to make difficulties in Aristotle’s system, as Terence Irwin points out. It seems to violate the distinction of strong predication and inherence, a distinction between predication of count-nouns and predication of characterizing adjectives. Irwin says that this violation is only apparent because although the differentia-term is an adjective, its gender agrees with the gender of the understood genus-term and not with that of the subject term. ‘Man is biped’ is indeed ‘Man is a biped animal.’ This shows, Irwin asserts, ‘why Aristotle can still mention that strong predication is nominal and inherence is adjectival.’ Differentiae are not, however, secondary substances, as Aristotle himself insists. A differentia does not say what the thing is, as secondary substances do, but only what it is like or what sort it is. (ποιον: To., 122b12-17; 128a20-29; 139a28-31; 142b25-29) Nonetheless, differentiae are not qualities because they are not inherent. Thus, they cannot be regarded in any of the ten categories. Irwin thinks that this anomaly is unnecessary because Aristotle could give good reasons for taking differentiae to be second substances. E. Characteristics of relations between differentia and genera or species 1. It is not possible for the genus to be predicated of the differentia taken apart from the species. (Met., B, 998b23-25; Met., K, 1059b31-33; To., VI, 6, 144a32-b1) 2. It is not possible for the species of the genus to be predicated of the proper differentiae of the genus. (Met., B, 998b24-26) 3. Where the differentia is present, the genus accompanies it, but where the genus is, the differentia is not always present. (Met., Δ, 1014b12-14) 4. The number of species are equal to the number of differentiae. (Met., Z, 1038a15-18) 5. The differentiae of genera which are different and not subordinate one to the other are themselves different in kind. (Cat., 3, 1b16-20; To., I, 15, ^107b19-) 6. There is nothing to prevent genera subordinate one to the other from having the same differentia. (Cat., 3, 1b20-22) 7. Since the higher genera are predicated of the genera below them, all differentiae of the predicated genus will be differentia of the subject also. (Cat., 3, 1b21-24) 8. The definition of the differentia is predicated of that of which the differentia is said. (Cat., 5, 3a25-28) 9. In giving what a thing is it is more fitting to state the genus than the differentia. For example, anyone who says that man is an animal shows what man is better than who describes him as terrestrial. (To., Δ, 6, ^128a24-27) 10. The differentia always signifies a quality of the genus, but the genus does not do this of the differentia. (To., Δ, 6, 128a27-29; To., Z, 6, 144a20-23) 11. A specific differentia, along with the genus, always makes a species. (To., Z, 6, 143b^1-) 12. A genus is always divided by the differentiae that are co-ordinate with it in a division and the differentiae that are co-ordinate in a division are all true of the genus. (To., Z, 6, 143b^1-) 13. Differentia cannot be predicated of the genus because genus is the term with the wider range. (To., Z, 6, 144a27-) In fact, genus is predicated, not of the differentia, but of the object of which the differentia is predicated. (To., Z, 6, 144a^31-b3) 14. Neither species nor the objects under it can be predicated of the differentia because the differentia is a term with a wider range than the species. (To., Z, 6, 144b4-) 15. The differentia is posterior to genus but prior to the species. (To., Z, 6, 144b^9-) 16. The same differentia cannot be used of two genera neither of which contains the other and if they do not both fall under the same genus. Otherwise, the same species will be in two genera neither of which contains the other, which is impossible. (To., Z, 6, 144b14-) 17. Genus and differentia are prior to and more familiar than the species: ‘For annul the genus and the differentia; and the species too is annulled, so that they are prior to the species. They are also more familiar; for if the species is known, the genus and differentia must of necessity be known as well (for anyone who knows what a man is knows also what animal and terrestrial are), whereas if the genus or the differentia is known it does not follow of necessity that the species is known as well; thus the species is less intelligible.’ (To., Z, 4, 141b15-) F. Characteristics of relations in series of classes 1. Mutually exclusive series. If no term in the series ACD… is predicable of any term in the series BEF…, and if G- a term in the former series- is the genus of A, clearly G will not be the genus of B; since, if it were, the series would not be mutually exclusive. (PsA., A, 15, 79b6-11) 2. Atomic disconnection of series. Of two mutually exclusive series ACD and BEF, if neither A nor B has a genus and A does not inhere in B, this disconnection must be atomic. (PsA., A, 15, 79b6-14) G. Characteristics of relations of individuals 1. No individual in a species is more substance than another individual in another species. (Cat., 5, 2b26-28) An individual man, for instance, is no more a substance than an individual ox. 2. Each attribute is wider than every individual it is predicated on, though several attributes, collectively considered, might not be wider but exactly the substance of a thing. (PsA., B, 13, 96a32-b1) 3. Not distinguishing between class membership and class inclusion? Some commentators like Vlastos and Ackrill (1963, 76) criticized Aristotle because he, they believe, did not distinguish between class membership (between species and particulars) and class inclusion (between genera and their species). Having accepted this point, Daniel W. Graham believes it is ‘question-begging in a curious way.’ Phil Corkum thinks that Aristotle employs mereological notions. (This criticism seems so strange because all the Aristotle’s point in distinguishing species 2 from genera is strictly the distinction of class membership and class inclusion as they call them so. (shrink)

Number systems differ cross-culturally in characteristics like how high counting extends and which number is used as a productive base. Some of this variability can be linked to the way the hand is used in counting. The linkage shows that devices like the hand used as external representations of number have the potential to influence numerical structure and organization, as well as aspects of numerical language. These matters suggest that cross-cultural variability may be, at least in part, a matter of (...) whether devices are used in counting, which ones are used, and how they are used. (shrink)

The idea the New Zealand Māori once counted by elevens has been viewed as a cultural misunderstanding originating with a mid-nineteenth-century dictionary of their language. Yet this “remarkable singularity” had an earlier, Continental origin, the details of which have been lost over a century of transmission in the literature. The affair is traced to a pair of scientific explorers, René-Primevère Lesson and Jules Poret de Blosseville, as reconstructed through their publications on the 1822–1825 circumnavigational voyage of the Coquille, a French (...) corvette. Possible explanations for the affair are briefly examined, including whether it might have been a prank by the Polynesians or a misunderstanding or hoax on the part of the Europeans. Reasons why the idea of counting by elevens remains topical are discussed. First, its very oddity has obscured the counting method actually used—setting aside every tenth item as a tally. This “ephemeral abacus” is examined for its physical and mental efficiencies and its potential to explain aspects of numerical structure and vocabulary (e.g., Mangarevan binary counting; the Hawaiian number word for twenty, iwakalua), matters suggesting material forms have a critical if underappreciated role in realising concepts like exponential value. Second, it provides insight into why it can be difficult to appreciate highly elaborated but unwritten numbers like those found throughout Polynesia. Finally, the affair illuminates the difficulty of categorising number systems that use multiple units as the basis of enumeration, like Polynesian pair-counting; potential solutions are offered. (shrink)

A computational methodology called Grossone Infinity Computing introduced with the intention to allow one to work with infinities and infinitesimals numerically has been applied recently to a number of problems in numerical mathematics (optimization, numerical differentiation, numerical algorithms for solving ODEs, etc.). The possibility to use a specially developed computational device called the Infinity Computer (patented in USA and EU) for working with infinite and infinitesimal numbers numerically gives an additional advantage to this approach in comparison with traditional methodologies studying (...) infinities and infinitesimals only symbolically. The grossone methodology uses the Euclid’s Common Notion no. 5 ‘The whole is greater than the part’ and applies it to finite, infinite, and infinitesimal quantities and to finite and infinite sets and processes. It does not contradict Cantor’s and non-standard analysis views on infinity and can be considered as an applied development of their ideas. In this paper we consider infinite series and a particular attention is dedicated to divergent series with alternate signs. The Riemann series theorem states that conditionally convergent series can be rearranged in such a way that they either diverge or converge to an arbitrary real number. It is shown here that Riemann’s result is a consequence of the fact that symbol ∞ used traditionally does not allow us to express quantitatively the number of addends in the series, in other words, it just shows that the number of summands is infinite and does not allows us to count them. The usage of the grossone methodology allows us to see that (as it happens in the case where the number of addends is finite) rearrangements do not change the result for any sum with a fixed infinite number of summands. There are considered some traditional summation techniques such as Ramanujan summation producing results where to divergent series containing infinitely many positive integers negative results are assigned. It is shown that the careful counting of the number of addends in infinite series allows us to avoid this kind of results if grossone-based numerals are used. (shrink)

The mass-count distinction is a morpho-syntactic distinction among nouns that is generally taken to have semantic content. This content is generally taken to reflect a conceptual, cognitive, or ontological distinction and relates to philosophical and cognitive notions of unity, identity, and counting. The mass-count distinction is certainly one of the most interesting and puzzling topics in syntax and semantics that bears on ontology and cognitive science. This volume aims to contribute to some of the gaps in the research (...) on the topic, in particular the relation between the syntactic mass-count distinction and semantic and cognitive distinctions, diagnostics for mass and count, the distribution and role of numeral classifiers, abstract mass nouns, and object mass nouns (furniture, police force, clothing). (shrink)

The mass-count distinction is a morpho-syntactic distinction among nouns that is generally taken to have semantic content. This content is generally taken to reflect a conceptual, cognitive, or ontological distinction and relates to philosophical and cognitive notions of unity, identity, and counting. The mass-count distinction is certainly one of the most interesting and puzzling topics in syntax and semantics that bears on ontology and cognitive science. In many ways, the topic remains under-researched, though, across languages and with respect (...) to particular phenomena within a given language, with respect to its connection to cognition, and with respect to the way it may be understood ontologically. This volume aims to contribute to some of the gaps in the research on the topic, in particular the relation between the syntactic mass-count distinction and semantic and cognitive distinctions, diagnostics for mass and count, the distribution and role of numeral classifiers, abstract mass nouns, and object mass nouns.The mass-count distinction is a morpho-syntactic distinction among nouns that is generally taken to have semantic content. This content is generally taken to reflect a conceptual, cognitive, or ontological distinction and relates to philosophical and cognitive notions of unity, identity, and counting. The mass-count distinction is certainly one of the most interesting and puzzling topics in syntax and semantics that bears on ontology and cognitive science. In many ways, the topic remains under-researched, though, across languages and with respect to particular phenomena within a given language, with respect to its connection to cognition, and with respect to the way it may be understood ontologically. This volume aims to contribute to some of the gaps in the research on the topic, in particular the relation between the syntactic mass-count distinction and semantic and cognitive distinctions, diagnostics for mass and count, the distribution and role of numeral classifiers, abstract mass nouns, and object mass nouns. (shrink)

This article argues that common intuitions regarding (a) the specialness of ‘use-novel’ data for confirmation and (b) that this specialness implies the ‘no-double-counting rule’, which says that data used in ‘constructing’ (calibrating) a model cannot also play a role in confirming the model’s predictions, are too crude. The intuitions in question are pertinent in all the sciences, but we appeal to a climate science case study to illustrate what is at stake. Our strategy is to analyse the intuitive claims in (...) light of prominent accounts of confirmation of model predictions. We show that on the Bayesian account of confirmation, and also on the standard classical hypothesis-testing account, claims (a) and (b) are not generally true; but for some select cases, it is possible to distinguish data used for calibration from use-novel data, where only the latter confirm. The more specialized classical model-selection methods, on the other hand, uphold a nuanced version of claim (a), but this comes apart from (b), which must be rejected in favour of a more refined account of the relationship between calibration and confirmation. Thus, depending on the framework of confirmation, either the scope or the simplicity of the intuitive position must be revised. (shrink)

When allocating scarce healthcare resources, the expected benefits of alternative allocations matter. But, there are different kinds of benefits. Some are direct benefits to the recipient of the resource such as the health improvements of receiving treatment. Others are indirect benefits to third parties such as the economic gains from having a healthier workforce. This article considers whether only the direct benefits of alternative healthcare resource allocations are relevant to allocation decisions, or whether indirect benefits are relevant too. First, we (...) distinguish different conceptions of direct and indirect benefits and argue that only a recipient conception could be morally relevant. We analyze four arguments for thinking that indirect benefits should not count and argue that none is successful in showing that the indirectness of a benefit is a good reason not to count it. We conclude that direct and indirect benefits should be evaluated in the same way. (shrink)

Suppose you can save only one of two groups of people from harm, with one person in one group, and five persons in the other group. Are you obligated to save the greater number? While common sense seems to say ‘yes’, the numbers skeptic says ‘no’. Numbers Skepticism has been partly motivated by the anti-consequentialist thought that the goods, harms and well-being of individual people do not aggregate in any morally significant way. However, even many non-consequentialists think that Numbers Skepticism (...) goes too far in rejecting the claim that you ought to save the greater number. Besides the prima facie implausibility of Numbers Skepticism, Michael Otsuka has developed an intriguing argument against this position. Otsuka argues that Numbers Skepticism, in conjunction with an independently plausible moral principle, leads to inconsistent choices regarding what ought to be done in certain circumstances. This inconsistency in turn provides us with a good reason to reject Numbers Skepticism. Kirsten Meyer offers a notable challenge to Otsuka’s argument. I argue that Meyer’s challenge can be met, and then offer my own reasons for rejecting Otsuka’s argument. In light of these criticisms, I then develop an improved, yet structurally similar argument to Otsuka’s argument. I argue for the slightly different conclusion that the view proposed by John Taurek that ‘the numbers don’t count’ leads to inconsistent choices, which in turn provides us with a good reason to reject Taurek’s position. (shrink)

It seems rather intuitive that if I can save either one stranger or five strangers, I must save the five. However, Kantian (and other non-consequentialist) views have a difficult time explaining why this is the case, as they seem committed to what Parfit calls “innumeracy”: roughly, the view that the values of lives (or the reasons to save them) don’t get greater (or stronger) in proportion to the number of lives saved. This chapter first shows that in various cases, it (...) is permissible to save fewer lives, contrary to what is implied by “numerate” views. Then it argues that in the cases in which it is intuitive that we must save the greater number, Kantians (and other deontologists) can not only deliver this verdict but also explain why it is correct, without presupposing that the value of our action depends on “adding up” the values of the lives saved. (shrink)

The First Hilbert problem is studied in this paper by applying two instruments: a new methodology distinguishing between mathematical objects and mathematical languages used to describe these objects; and a new numeral system allowing one to express different infinite numbers and to use these numbers for measuring infinite sets. Several counting systems are taken into consideration. It is emphasized in the paper that different mathematical languages can describe mathematical objects (in particular, sets and the number of their elements) with different (...) accuracies. The traditional and the new approaches are compared and discussed. (shrink)

In this study, the archaic counting systems of Mesopotamia as understood through the Neolithic tokens, numerical impressions, and proto-cuneiform notations were compared to the traditional number-words and counting methods of Polynesia as understood through contemporary and historical descriptions of vocabulary and behaviors. The comparison and associated analyses capitalized on the ability to understand well-known characteristics of Uruk-period numbers like object-specific counting, polyvalence, and context-dependence through historical observations of Polynesian counting methods and numerical language, evidence unavailable for ancient numbers. Similarities between (...) the two number systems were then used to argue that archaic Mesopotamian numbers, like those of Polynesia, were highly elaborated and would have served as cognitively efficient tools for mental calculation. Their differences also show the importance of material technologies like tokens, impressions, and notations to developing mathematics. This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No. 785793. (shrink)

It has become evident that mind–body supervenience, as merely specifying a covariance between mental and physical properties, is consistent with clearly non-physicalist views of the mental, such as emergentism. Consequently, there is a push in the physicalist camp for an ontologically more robust supervenience, a “superdupervenience,” that ensures that properties supervening on physical properties are physicalistically acceptable. Jessica Wilson claims that supervenience is made superduper by Condition on Causal Powers (CCP): each individual causal power associated with a supervenient property is (...) numerically identical with a causal power associated with its base property. Furthermore, according to Wilson, a wide variety of physicalist positions, both reductive and non-reductive, can be seen as relying on CCP to ensure that properties supervening on physical properties are physicalistically acceptable. I argue that imposing CCP on mind–body supervenience fails to ensure that mental properties are physicalistically acceptable. The problem, I contend, is that while CCP may guard against supervenient mental properties being insufficiently grounded in their physical bases it fails to guard against supervenient mental properties being too deeply grounded in their physical bases. (shrink)

We are justified in employing the rule of inference Modus Ponens (or one much like it) as basic in our reasoning. By contrast, we are not justified in employing a rule of inference that permits inferring to some difficult mathematical theorem from the relevant axioms in a single step. Such an inferential step is intuitively “too large” to count as justified. What accounts for this difference? In this paper, I canvass several possible explanations. I argue that the most promising (...) approach is to appeal to features like usefulness or indispensability to important or required cognitive projects. On the resulting view, whether an inferential step counts as large or small depends on the importance of the relevant rule of inference in our thought. (shrink)

Several ways used to rank countries with respect to medals won during Olympic Games are discussed. In particular, it is shown that the unofficial rank used by the Olympic Committee is the only rank that does not allow one to use a numerical counter for ranking – this rank uses the lexicographic ordering to rank countries: one gold medal is more precious than any number of silver medals and one silver medal is more precious than any number of bronze medals. (...) How can we quantify what do these words, more precious, mean? Can we introduce a counter that for any possible number of medals would allow us to compute a numerical rank of a country using the number of gold, silver, and bronze medals in such a way that the higher resulting number would put the country in the higher position in the rank? Here we show that it is impossible to solve this problem using the positional numeral system with any finite base. Then we demonstrate that this problem can be easily solved by applying numerical computations with recently developed actual infinite numbers. These computations can be done on a new kind of a computer – the recently patented Infinity Computer. Its working software prototype is described briefly and examples of computations are given. It is shown that the new way of counting can be used in all situations where the lexicographic ordering is required. (shrink)

The broadcast nature of communication in transmission media has driven the rise of network coding’s popularity in wireless networks. Numerous benefits arise from employing network coding in multi-hop wireless networks, including enhanced throughput, reduced energy consumption, and decreased end-to-end delay. These advantages are a direct outcome of the minimized transmission count. This paper introduces a comprehensive framework to employ network coding in these networks. It refines decision-making at coding and decoding nodes simultaneously. The coding-nodes employ optimal stopping theory (...) to find optimal moments for packet transmission. Meanwhile, the decoding-nodes dynamically decide, through SMDP (Semi Markov Decision Process) problem formulation, whether to conserve energy by deactivating radio units or to stay active for improved coding by overhearing packets. The proposed framework, named ENCODE, enables nodes to learn how and when to use network coding over time. Simulation results compare its performance with existing approaches. Our simulation results shed new light on when and how to use network coding in wireless multi-hop networks more effectively. (shrink)

Preface/Introduction: The question under discussion is metaphysical and truly elemental. It emerges in two aspects — how did we come to be conscious of our own existence, and, as a deeper corollary, do existence and awareness necessitate each other? I am bold enough to explore these questions and I invite you to come along; I make no claim to have discovered absolute answers. However, I do believe I have created here a compelling interpretation. You’ll have to judge for yourself. -/- (...) What follows is the presentation of three essays I have worked on over the past several years seeing publication for the first time. “Hollows of Experience” was written first as an invited chapter for a collection on the ontology of consciousness. However, when cuts became necessary, my chapter got the knife. Its length has prohibited it from publication in any print journal. “Myth and Mind” was written next as a journal article, but as my involvement with it grew so did its length, so it has also idled on my websty awaiting its call. “From Panexperientialism to Conscious Experience” was written most recently, but it is the only one to have been available to the public elsewhere than my own website. Under the name, “The Continuum of Experience”, it was Target Article #95 on the recently closed Karl Jaspers Forum (for discussion purposes only). -/- I have put them in a different sequence here, for reasons of logical sense. Up first, “Panexperientialism” deals with an idea difficult for many to accept, namely that conscious experience is a particular mode of symbolically reflected experience that is largely unique to our species. However, I aver that experienced sensation in itself (as found, for example, in autonomic sensory response systems) goes “all the way down” into nature, and thus the title, panexperientialism. -/- Understanding this idea is helpful to dealing with the focus on language in Part I of “Hollows”, next, since here speech and general symbolic interaction in general are found to be the catalysts for the creation of our consciously experienced world (our “lived reality”). In Part II, however, I explore how experienced sensations must be coeval with existence, and, with even greater temerity, how all this sensational existence might have arisen within some literally inconceivable background of awareness-in-itself that yet has a dynamism that occasionally breaks into existence as experiential events and entities. (The latter may sound wacky, but physicists and cosmologists are themselves attempting to come to terms with that which seethes with vast potential energy in what they refer to as the quantum vacuum.) -/- “Myth and Mind” was put third since it deals with a major lacuna in “Hollows” — that presumed prehistoric period when members of our species made the painful crossing of the symbolic threshold into the beginnings of cultural consciousness. Speech plays a central role here, too, but I look more at narrative structures from the dawn of self-awareness when ritual and myth became vital to human survival. Why would fantastic stories and bizarre rituals be necessary? I speculate that growing foresight led to the unavoidable realization of certain mortality, from which, in turn, emerged the secondary realization that we were now alive. In contrast to our yet-to-come death, we have life here and now, and by ritually identifying with a symbolically expanded mythic, i.e., sacred, reality, we may continue to live on after bodily death, just as our ancestors and loved ones must also do. Language and mythmaking are necessary to avoid mortal despair and they remain at the core of human consciousness. -/- As Ernst Cassirer (1944) has noted, language and myth are “twin creatures”, both metaphoric webs over a reality we can never wholly comprehend. We live in the symbolic and construct our works of imagination and wars of conquest to make life meaningful, to feel immortal, and to sense that we ourselves participate in a reality greater than ourselves. No doubt we do, but this does not mean our culturally constructed self-identities survive the death of our bodies, and it does not imply that our symbolic concepts can ever indicate the ultimate truth. We simply must symbolize an extended reality that was sacred to our ancestors: “Is it not our way, as illusory as it may be, to force continuance on our world and our life in the face of their inevitable ending? Are we not compelled to extend those imaginary horizons as far as we can despite the terror and the sometime joy their extension incites? Is their closure not a form of death?” (Crapanzano, p. 210) -/- Of course, this leaves me in the uncomfortable position of being forced to admit that this venture of mine must inevitably be another attempt at meaningful mythmaking. But what else could it be? This is certainly not a scientific proof though it is indeed an academically rigorous exploration. (Just try to count the citations!) I hope the reader will judge my thesis on the basis of its coherence, the sense of meaning it evokes, my intellectual responsibility, and, finally, the engagement it inspires. If you have read my expositions and found yourself immersed in the timeless questions I here call forth, I would call these writings successful (even if you violently disagree with my answers). -/- I am very grateful to Huping Hu for granting me this special issue of JCER in which to present my ideas in some detail. He has patiently dealt with my exuberant approach and allowed the many changes I kept coming up with right until the final publication date. I also wish to thank the many potential commentators who politely replied to my invitation, and, even more, I thank those who made time to write actual commentaries. -/- References -/- Cassirer, E. (1944). An Essay on Man: An Introduction to a Philosophy of Human Culture. New Haven/London: Yale UP. -/- Crapanzano, V. (2004). Imaginative Horizons: An Essay in Literary-Philosophical Anthropology. Chicago: U of Chicago Press. -/- Gregory M. Nixon University of Northern British Columbia Prince George, British Columbia, Canada Email: [email protected] Websty: http://members.shaw.ca/doknyx. (shrink)

Analytic theologians have proposed numerous “solutions” to the Logical Problem of the Trinity (LPT), mostly versions of Social Trinitarianism (ST) and Relative Identity Trinitarianism (RI). Both types of solution are controversial, but many hold out hope that further “Trinitarian theorizing” may yield some as yet unimagined, and somehow importantly different, solution to the LPT. I first give a precise definition of the LPT and of what would count as a solution to it. I then show how, though there (...) are infinitely many possible solutions, all solutions can be grouped together into a finite, exhaustive taxonomy, based precisely on those features which make them either controversial, heretical, or inconsistent. The taxonomy reveals why ST and RI have been the major proposed solutions, and also proves that there can be no importantly different, new solutions to the LPT. (shrink)

The aim of this article is to critically examine what I call Action-Centric Theories of Representation (ACToRs). I include in this category theories of representation that (1) reject construing representation in terms of a relation that holds between representation itself (the representational vehicle) and what is represented, and instead (2) try to bring the function that representations play for cognitive systems to the center stage. Roughly speaking, according to proponents of ACToRs, what makes a representation (that is, what is constitutive (...) of it being a representation) is its being functionally involved in preselecting or guiding the actions of cognitive systems. I intend to argue that while definitely valuable, ACToRs are underconstrained and thus not entirely satisfying, since there exist structures that would count as representations according to ACToRs, but which do not play functional roles that could be nontrivially or in an explanatorily valuable way classified as representing something for a cognitive system. I outline a remedy for this theoretical situation by postulating that a fully satisfying theory of representation in cognitive science should have two factors; i.e., it should combine the pragmatic, action-oriented aspect present in ACToRs with an element that emphasizes the importance of the relation holding between a representational vehicle and what is represented. (shrink)

What justifies practices of “standing”? Numerous everyday practices exhibit the normativity of standing: forbidding certain interventions and permitting ignoring them. The normativity of standing is grounded in facts about the person intervening and not on the validity of her intervention. When valid, directives are reasons to do as directed. When interventions take the form of directives, standing practices may permit excluding those directives from one’s practical deliberations, regardless of their validity or normative weight. Standing practices are, therefore, puzzling – (...) forbidding giving reasons and, if given, permitting disregarding such reasons. What justifies standing practices are the values that they protect, including privacy, autonomy, independence, valuable relationships, and equal respect. These values count in favor of standing’s duty against certain interventions and, when these duties of non-intervention are breached, the values underpinning those duties count in favor of standing’s permission to discount or exclude those interventions from one’s practical deliberations – the normative weight of those interventions notwithstanding. (shrink)

What are we? Despite much discussion in historical and contemporary philosophy, we have not yet settled on an answer. A satisfactory personal ontology, an account of our metaphysical nature, will be informed by issues in the metaphysics of material objects. In the dissertation, I target two prominent materialist ontologies: animalism, the view that we are numerically identical to human organisms, and constitutionalism, the view that we are constituted by, but not identical to, human organisms. Because of the problems that arise (...) from endorsing these ontologies, I instead advance immaterialism, the view that we are essentially immaterial. In Chapter 2, I discuss how animalists must respond to a widely-discussed metaphysical puzzle, the problem of the many. This puzzle prompts some to endorse revisionary ontologies of material objects, and I argue that the animalist cannot appeal to these revisionary ontologies to solve the puzzle as it arises for personal ontology. In addition, solutions that don’t involve a commitment to revisionary ontology will be unavailable to the animalist: I argue that if animalists make use of non-revisionary solutions to the problem, they must abandon the most successful argument for their view. Absent their most successful argument, animalists will need to motivate the view in some other way. Some new arguments for animalism have been proposed, and I argue that they fail to give us reason to endorse animalism over competing ontologies. Without a strong argument, we should not prefer animalism over the other, more attractive, views. In Chapter 3, I show how constitutionalists face a different problem: explaining how the person is not the very same thing as the human organism, despite sharing the very same parts and occupying the very same physical space. We think that the person and the organism are different things because they have different modal profiles – the human organism can survive permanent loss of psychological life, but the person, presumably, cannot. Constitutionalists must then explain what grounds the difference in modal profiles, but such an explanation is hard to come by. This is an instance of the grounding problem, which is notoriously intractable. While the grounding problem is a well-known challenge to constitutional accounts of objects, I demonstrate that this puzzle is even more threatening when applied to persons. Some “solutions” to the problem fail to solve it at all, and solutions that might get the right result for ordinary objects require accepting that there are a multitude of persons where we ordinarily take there to be only one. We should not accept a personal ontology that requires a commitment to that multitude. I argue that the threat of the grounding problem is so great that we must reject the constitutionalist personal ontology. We will see from these puzzles in personal ontology that materialist solutions are either unsuccessful or yield unacceptable consequences. This should prompt us toward considering, instead, immaterialism. According to immaterialism, persons are not material objects, and the immaterialist can then provide solutions to the puzzles that threatened materialist ontologies. In Chapter 4, I outline these immaterialist solutions and show that the puzzles cannot be reinstantiated successfully against the immaterialist. I then discuss different available varieties of immaterialism and argue in defense of my preferred version. Ultimately, I argue that we are simple, immaterial entities that come into existence at the proper functioning of the brain. Endorsing this view of personal ontology permits us to adequately respond to metaphysical puzzles and retain judgments about persons that should be most important to us. In particular, the immaterialist has the resources to avoid the problem of too many thinkers and retain the judgment that there is exactly one person in circumstances where we take there to be just one. The immaterialist also has the resources to plausibly analyze thought experiments, such as cerebrum-swap cases, that threaten materialist ontologies. All things considered, it remains to be seen which personal ontology has the most evidence in its favor. In the context of debates that arise from material object metaphysics, however, evidence weighs in favor of immaterialism. Materialist personal ontologies are saddled with unacceptable responses to metaphysical puzzles, and endorsing materialism about persons requires taking on a very high cost: Either there are far more of us than we ordinarily take there to be, or there are no persons – far fewer of us than we ordinarily take there to be. Some might argue that these are the only acceptable options, so cost be damned. But we cannot afford to be so cavalier about our personal ontology. Instead, I advance immaterialist solutions to puzzles in personal ontology and propose that, in the interest of saving ourselves and everyone we love, we should seriously consider accounts according to which we are immaterial entities. (shrink)

[ROYAL INSTITUTE OF PHILOSOPHY 2023 ESSAY PRIZE WINNER] I argue that the term ‘naturalism’ is so empty of meaning that it is not suitable for serious theorizing in philosophy. In particular, I argue that the question of whether or not some theory or thesis should count as naturalistic is an empty verbal dispute with no further theoretical significance. I also discuss naturalism construed as a methodological thesis and argue that any plausible version will collapse into triviality. Lastly, I briefly (...) discuss the idea that naturalism is not a thesis at all but rather a ‘stance’ and suggest that this too succumbs to the charge of emptiness. I conclude that we should stop talking about naturalism altogether. (shrink)

An important advance in normativity research over the last decade is an increased understanding of the distinction, and difference, between normativity and rationality. Normativity concerns or picks out a broad set of concepts that have in common that they are, put loosely, guiding. For example, consider two commonly used normative concepts: that of a normative reason and that of ought. To have a normative reason to perform some action is for there to be something that counts in favour of performing (...) that action. Likewise with ought, when there is sufficient evidence for something, one ought to believe it (at least under normal circumstances). Not all guidance need be directed towards a specific state or a specific action. Subject to the requirements of normativity, too, are relations. It is commonly believed, for example, that we ought not to hold contradictory beliefs.1 At least some of the requirements that concern relations amongst an agent’s mental states are, or seem, distinctive. Agents who fail to satisfy these requirements are considered, at least to some degree, irrational. On many current views, being irrational is distinct in some way from not being how one ought to be; rationality is a concept distinct from normativity. Much of the literature on this topic over the last decade stems from attempts to capture the characteristic features of the requirements of rationality. Two influential views in particular did much to set the agenda. The first of these two was put forward John Broome.2 His view, the particulars of which I shall discuss in more detail below, is that the requirements of rationality could be expressed using a normative relation, which he calls a ‘normative requirement’. Normative requirements are conditionals governed by an all-thingsconsidered ought. In the case of rationality, the conditional is made up entirely of mental states.. (shrink)

Abstract:Skepticism about grounding is the view that ground-theoretic concepts shouldn’t be used in meta­physical theorizing. Possible reasons for adopting this attitude are numerous: perhaps grounding is unintelligible; or perhaps it’s never instantiated; or perhaps it’s just too heterogeneous to be theor­­­­­etically useful. Unfortunately, as currently pursued the debate between grounding enthusiasts and skeptics is insufficiently structured. This paper’s purpose is to impose a measure of conceptual rigor on the debate by offering an opinionated taxonomy of views with a reasonable (...) claim to being “skeptical.” I argue that carving up logical space into pro- and anti-grounding views isn’t especially helpful; rather, we should recognize various degrees of ground-theoretic involvement depending on how inflationary our understanding of the theoretical term ‘ground’ is. (shrink)

Maximalism is the view that an agent is permitted to perform a certain type of action if and only if she is permitted to perform some instance of this type, where φ-ing is an instance of ψ-ing if and only if φ-ing entails ψ-ing but not vice versa. Now, the aim of this paper is not to defend maximalism, but to defend a certain account of our options that when combined with maximalism results in a theory that accommodates the idea (...) that a moral theory ought to be morally harmonious—that is, ought to be such that the agents who satisfy the theory, whoever and however numerous they may be, are guaranteed to produce the morally best world that they have the option of producing. I argue that, for something to count as an option for an agent, it must, in the relevant sense, be under her control. And I argue that the relevant sort of control is the sort that we exercise over our reasons-responsive attitudes by being both receptive and reactive to reasons. I call this sort of control rational control, and I call the view that φ-ing is an option for a subject if and only if she has rational control over whether she φs rationalism. When we combine this view with maximalism, we get rationalist maximalism, which I argue is a promising moral theory. (shrink)

Altruistic deception (or the telling of “white lies”) is common in humans. Does it also exist in non-human animals? On some definitions of deception, altruistic deception is impossible by definition, whereas others make it too easy by counting useful-but-ambiguous information as deceptive. I argue for a definition that makes altruistic deception possible in principle without trivializing it. On my proposal, deception requires the strategic exploitation of a receiver by a sender, where “exploitation” implies that the sender elicits a behaviour in (...) the receiver that is beneficial in a different type of situation and is expressed only because the signal raises the probability, from the receiver’s standpoint, of that type of situation. I then offer an example of a real signal that is deceptive in this sense, and yet potentially altruistic (and certainly cooperative): the purr call of the pied babbler. Fledglings associate purr calls with food, and adults exploit this learned association, in the absence of food, to lead fledglings away from predators following an alarm call. I conclude by considering why altruistic deception is apparently so rare in non-human animals. (shrink)

Over the past two decades, gamblers have begun taking mathematics into account more seriously than ever before. While probability theory is the only rigorous theory modeling the uncertainty, even though in idealized conditions, numerical probabilities are viewed not only as mere mathematical information, but also as a decision-making criterion, especially in gambling. This book presents the mathematics underlying the major games of chance and provides a precise account of the odds associated with all gaming events. It begins by explaining in (...) simple terms the meaning of the concept of probability for the layman and goes on to become an enlightening journey through the mathematics of chance, randomness and risk. It then continues with the basics of discrete probability, combinatorics and counting arguments for those interested in the supporting mathematics. These mathematic sections may be skipped by readers who do not have a minimal background in mathematics; these readers can skip directly to the Guide to Numerical Results to pick the odds and recommendations they need for the desired gaming situation. Doing so is possible due to the organization of that chapter, in which the results are listed at the end of each section, mostly in the form of tables. The chapter titled The Mathematics of Games of Chance presents these games not only as a good application field for probability theory, but also in terms of human actions where probability-based strategies can be tried to achieve favorable results. Through suggestive examples, the reader can see what are the experiments, events and probability fields in games of chance and how probability calculus works there. The main portion of this work is a collection of probability results for each type of game. Each game s section is packed with formulas and tables. Each section also contains a description of the game, a classification of the gaming events and the applicable probability calculations. The primary goal of this work is to allow the reader to quickly find the odds for a specific gaming situation, in order to improve his or her betting/gaming decisions. Every type of gaming event is tabulated in a logical, consistent and comprehensive manner. The complete methodology and complete or partial calculations are shown to teach players how to calculate probability for any situation, for every stage of the game for any game. Here, readers can find the real odds, returned by precise mathematical formulas and not by partial simulations that most software uses. Collections of odds are presented, as well as strategic recommendations based on those odds, where necessary, for each type of gaming situation. The book contains much new and original material that has not been published previously and provides great coverage of probabilities for the following games of chance: Dice, Slots, Roulette, Baccarat, Blackjack, Texas Hold em Poker, Lottery and Sport Bets. Most of games of chance are predisposed to probability-based decisions. This is why the approach is not an exclusively statistical one, but analytical: every gaming event is taken as an individual applied probability problem to solve. A special chapter defines the probability-based strategy and mathematically shows why such strategy is theoretically optimal.". (shrink)

Polish education is on a precipice of change. This is associated great hopes and great concerns. For too long the school system has condemned to indifference of politics and the public opinion was led also to similar believes. The school must change but not superficially, it must change for the inside. But in which direction should the changes be guided? The author of the this article proposes a thorough transformation of the polish school paradigm to increase the autonomy of educational (...) institutions, teachers and most importantly, students. This is the basis to build up through education an adequate attitude needed for the future world, which as never before will be in the need for informed, competent and free people, who understand the value of choice. To clarify a holistic need for abovementioned changes the author will invoke a cognitive tool in the form of metaphorology to outline an analogy between the condition of the modern student and mythical Icarus, for whom freedom and fulfillment of potential, were more important than obedience and safety, on which contemporary kids and youth also cannot count. (shrink)

The purpose of this chapter is to determine what is to remember something, as opposed to imagining it, perceiving it, or introspecting it. What does it take for a mental state to qualify as remembering, or having a memory of, something? The main issue to be addressed is therefore a metaphysical one. It is the issue of determining which features those mental states which qualify as memories typically enjoy, and those states which do not qualify as such typically lack. In (...) sections 2 and 3, I will discuss the two main existing conceptions of the conditions that a mental state must satisfy to count as an episode of remembering. The first of these approaches is backward-looking. It puts forward conditions that strictly concern the aetiology of the mental state. I will argue that the conditions offered by the backward-looking approach are both too strong and too weak: They rule out mental states which, intuitively, count as memories while including mental states which, intuitively, do not qualify as memories. The second approach is forward-looking. It puts forward conditions that only concern the use that the subject makes of the mental state while forming beliefs about their own life. I will argue that the conditions proposed by the forward-looking approach are both too weak and too strong as well. However, the discussion of the two approaches will allow us to extract some helpful lessons on the constraints that any proposal about the nature of remembering should respect. An alternative approach aimed at incorporating those lessons will be offered in section 4 by drawing on the literature on functionalism. In section 5, I will argue that this approach can, on the one hand, accommodate as memories those mental states which indicate that the backward-looking approach and the forward-looking approach are too strict while, on the other hand, excluding those mental states which suggest that the two alternative approaches are too permissive. Accordingly, I will conclude that construing memory along functionalist lines is a satisfactory approach to the nature of remembering. (shrink)

Why would we want to develop artificial human-like arithmetical intelligence, when computers already outperform humans in arithmetical calculations? Aside from arithmetic consisting of much more than mere calculations, one suggested reason is that AI research can help us explain the development of human arithmetical cognition. Here I argue that this question needs to be studied already in the context of basic, non-symbolic, numerical cognition. Analyzing recent machine learning research on artificial neural networks, I show how AI studies could potentially shed (...) light on the development of human numerical abilities, from the proto-arithmetical abilities of subitizing and estimating to counting procedures. Although the current results are far from conclusive and much more work is needed, I argue that AI research should be included in the interdisciplinary toolbox when we try to explain the development and character of numerical cognition and arithmetical intelligence. This makes it relevant also for the epistemology of mathematics. (shrink)

Kagan argues that human beings who are neither persons nor even potential persons — if their impairment is independent of genetic constitution — are modal persons: individuals who might have been persons. Moreover, he proposes a view according to which both personhood and modal personhood are sufficient for counting more, morally, than nonhuman animals. In response to this proposal, I raise one relatively minor concern about Kagan's reasoning — that he judges too quickly that insentient beings can have interests — (...) before engaging the appeal to modal personhood. I challenge the thesis that modal personhood is relevant to one's moral status, first, by way of analogy to a kicker who misses a field goal though he might have made it; second, by casting doubt on implications for two impaired infants ; and, finally, by examining implications for dogs who would count as modal persons when genetic enhancements are capable of transforming them into persons. (shrink)

When we define something as a crime, we generally thereby criminalize the attempt to commit that crime. However, it is a vexing puzzle to specify what must be the case in order for a criminal attempt to have occurred, given that the results element of the crime fails to come about. I argue that the philosophy of action can assist the criminal law in clarifying what kinds of events are properly categorized as criminal attempts. A natural thought is that this (...) project should take the form of specifying what it is in general to attempt or try to perform an action, and then to define criminal attempts as attempts to commit crimes. Focusing on Gideon Yaffe's resourceful work in Attempts (Oxford University Press, 2010) as an example of this strategy, I argue that it results in a view that is overly inclusive: one will count as trying to commit a crime even in the far remote preparatory stages that we in fact have good reason not to criminalize. I offer an alternative proposal to distinguish between mere preparations and genuine attempts that has its basis not in trying, but doing: a criminal attempt is underway once what the agent is doing is a crime. Working out the details of this schema turns out to have important implications for action theory. A recently burgeoning view known as Naive Action Theory holds that all action can be explained by appeal to some further thing that the agent is doing, and that that the same explanatory nexus is at work even when we appeal to what the agent is intending, trying, or preparing to do -- these notions do explanatory work because they too refer to actions that are in progress, albeit in their infancy. If this is right, than the notion of 'doing' will also be too inclusive for the purposes of the criminal law. I argue that we should draw the reverse conclusion: the distinctions between pure intending, trying, preparing, and doing serve an important purpose in the criminal law, and this fact lends support to the view that they are genuine metaphysical and explanatory distinctions. (shrink)

In this paper, I wish to criticize the notion that consensus is an epistemology. While I have never seen it explicitly claimed that “consensus is an epistemology,” I have nonetheless seen it implied in many scholarly (and layperson) articles. This occurs whenever articles cite, “a majority of scholars agree that…” or “most scientists/researchers think…” In our democratic, individualistic society, we put a value on high value votes and the quantification of majority viewpoints, whether it be in political polls (due to (...) living in a democracy), online on websites with ranking or voting systems such as Reddit, YouTube, or Instagram. The danger here is we may defer too much to the consensus view without appropriate justification. I will give several reasons why we should be skeptical of appeals to consensus (including a consensus of experts), which include its non-obvious link to ontology, the fact that consensus changes, and a lack of specificity of who counts as an ``expert,'' the lack of specificity on how to handle consensus (if it does occur), and epistemic undercutting defeaters from evolutionary epistemology. While an appeal to consensus may not tell us much about whether a theory is true, they can give us practical or pragmatic reasons for trusting a position. (shrink)

My objective is a better comprehension of two theoretically fundamental concepts. One, the concept of a substance in an ordinary (non-Aristotelian) sense, ranging over such things as salt, carbon, copper, iron, water, and methane – kinds of stuff that now count as (chemical) elements and compounds. The other I’ll call the object-concept in the abstract sense of Russell, Wittgenstein, and Frege in their logico-semantical enquiries. The material object-concept constitutes the heart of our received logico / ontic system, still massively (...) influenced by Aristotle after almost 2.5 millennia. On such an account, the fundamentality of material objects and their attributes are the metaphysical basis of the cosmos, as reflected in our received logic, Quine’s ‘canonical notation’ – derived via the empiricism of Russell from Frege’s function-based Begriffschrifft, and consisting of concrete singular terms and variables, quantifiers and predicate-expressions. The inadequacy of Frege’s approach to understanding concepts is reflected in his initial question. Frege enquires of ‘what it is that we are calling an object’, remarking that he regards a regular definition as impossible: “we have here something too simple to admit of logical analysis”. The imagined ultimacy or simplicity of the idea of a single object (arithmetically, just a unit – one as against two, three, four, etc.) as foundational to the calculus is just that – imagined. It is also guaranteed to block the comprehension of the substance-concept. (shrink)

In the context of animal cognitive research, anthropomorphism is defined as the attribution of uniquely human mental characteristics to animals. Those who worry about anthropomorphism in research, however, are immediately confronted with the question of which properties are uniquely human. One might think that researchers must first hypothesize the existence of a feature in an animal before they can, with warrant, claim that the property is uniquely human. But all too often, this isn't the approach. Rather, there is an a (...) priori argument against attributing some properties to animals. Which features are thought to be uniquely human on a priori grounds? The class can be quite large, including psychological states such as beliefs and desires, personality traits such as confidence or timidity, emotions such as happiness or anger, social organizational properties such as culture or friendship, moral behavior such as punishment or rape. For convenience, I will refer to the members of the class as "psychological properties". One critic includes feeling, purpose, intentionality, consciousness, and even cognition in his list of psychological properties that are incorrectly attributed to animals (Kennedy 1992). Among the critics, there is quite a bit of disagreement about what counts as an anthropomorphic attribution, and this alone should raise questions about the charge. We can identify two different questions about the practice of attributing psychological properties to animals within a scientific context. First we can ask whether it is scientifically respectable to examine questions about the mental, psychological, cultural, etc. states of animals. Those who bemoan anthropomorphism think that we ought not even ask such questions. I will look at the worries about asking the question, and argue that there is no special problem with it. The second question arises with an affirmative answer to the first. Given that it is scientifically respectable to examine whether an animal has a psychological property, there must be some scientifically respectable method for doing the examination.. (shrink)

In this paper, I suggest that infinite numbers are large finite numbers, and that infinite numbers, properly understood, are 1) of the structure omega + (omega* + omega)Ө + omega*, and 2) the part is smaller than the whole. I present an explanation of these claims in terms of epistemic limitations. I then consider the importance, part of which is demonstrating the contradiction that lies at the heart of Cantorian set theory: the natural numbers are too large to be counted (...) by any finite number, but too small to be counted by any infinite number – there is no number of natural numbers. (shrink)

A simple argument proposes a direct link between realism about quantum mechanics and one kind of metaphysical holism: if elementary quantum theory is at least approximately true, then there are entangled systems with intrinsic whole states for which the intrinsic properties and spatiotemporal arrangements of salient subsystem parts do not suffice. Initially, the proposal is compelling: we can find variations on such reasoning throughout influential discussions of entanglement. Upon further consideration, though, this simple argument proves a bit too simple. To (...) get such metaphysically robust consequences out, we need to put more than minimal realism in. This paper offers a diagnosis: our simple argument seems so compelling thanks to an equivocation. The predictions of textbook quantum theory already resonate with familiar holistic slogans; for realists, then, any underlying reality, conforming to such predictions, also counts as holistic in some sense or other, if only by association. Such associated holism, though, does not establish the sort of specific, robust supervenience failure claimed by our simple argument. While it may be natural to slide to this stronger conclusion, facilitating the slide is not minimal realism per se but an additional explanatory assumption about how and why reality behaves in accordance with our theory: roughly, quantum theory accurately captures patterns in the features and behaviors of physical reality because some underlying metaphysical structure constrains reality to exhibit these patterns. Along with the diagnosis comes a recommendation: we can and should understand one traditional disagreement about the metaphysics of entanglement as another manifestation of a familiar and more general conflict between reductive and non-reductive conceptions of metaphysical theorizing. Such reframing makes clearer what resources reductionists have for resisting the simple argument’s challenge from quantum holism. It also has an important moral for their opponents. Traditional focus on whole-part supervenience failure distracts from a root disagreement about metaphysical structure and its role in our theorizing. Non-reductionists fond of our simple argument would be better off tackling this root directly. (shrink)

I defend impact-based accounts of institutional racism against the criticism that they are over-inclusive. If having a negative impact on non-whites suffices to make an institution racist, too many institutions (including institutions whose affirmative action policies inadvertently harm its intended beneficiaries) would count as racist. To address this challenge, I consider a further necessary condition for these institutions to count as racist—they must stand in a particular relation to racist ideology. I argue that, on the impact-based model, institutions (...) are racist if they have a negative racial impact AND this impact is legitimized by racist ideology. Racist ideologies limit social criticism of and collective action against institutions that have a negative racial impact, and in so doing, lend stability to systems of racial domination. (shrink)

We develop an approach to the problem of de se belief usually expressed with the question, what does the shopper with the leaky sugar bag have to learn to know that s/he is the one making the mess. Where one might have thought that some special kind of “de se” belief explains the triggering of action, we maintain that this gets the order of explanation wrong. We sketch a very simple cognitive architecture that yields de se-like behavior on which the (...) action-triggering functionality of the belief-state is what counts it as de se rather than some prior property of being “de se” explaining the triggering of action. This functionality shows that action-triggering change in belief-state also undergirds a correlative change in the objective involved in the triggered action. This model is far too simple to have any claim to showing how the de se works for humans, but it shows, by illustration, that nothing mysteriously “subjective”” need be involved in this aspect of self-conception. While our exposition is very different from those of Perry and Recanati, all three of us are developing the same kind of view. (shrink)

Polish education is on a precipice of change. This is associated great hopes and great concerns. For too long the school system has condemned to indifference of politics and the public opinion was led also to similar believes. The school must change but not superficially, it must change for the inside. But in which direction should the changes be guided? The author of the this article proposes a thorough transformation of the polish school paradigm to increase the autonomy of educational (...) institutions, teachers and most importantly, students. This is the basis to build up through education an adequate attitude needed for the future world, which as never before will be in the need for informed, competent and free people, who understand the value of choice. To clarify a holistic need for abovementioned changes the author will invoke a cognitive tool in the form of metaphorology to outline an analogy between the condition of the modern student and mythical Icarus, for whom freedom and fulfillment of potential, were more important than obedience and safety, on which contemporary kids and youth also cannot count. (shrink)

Some bemoan the incivility of our times, while others complain that people have grown too quick to take offense. There is widespread disagreement about what counts as an insult and when it is appropriate to feel insulted. Here I propose a definition and a preliminary taxonomy of insults. Namely, I define insults as expressions of a lack of due regard. And I categorize insults by whether they are intended or unintended, acts or omissions, and whether they cause offense or not. (...) Unintended insults are of particular concern since greater understanding may help us to avoid them. And insults by omission warrant special consideration because they suggest an interesting extension of Grice’s theory of conversational implicature. (shrink)

In what respects is Western civilization superior or inferior to its rivals? In raising this question we are addressing a particularly strong form of the problem of relativism. For in order to compare civilizations one with another we would need to be in possession of a framework that is neutral and objective, a framework based on principles of evaluation which would be acceptable, in principle, to all human beings. Morality will surely provide one axis of such a framework (and we (...) note in passing that believers in Islam might quite reasonably claim that their fellow-believers are characteristically more moral than are many in the West). Criteria such as material wellbeing, too, will need to play a role, as also will happiness or pleasure (and again we note that it is not clear a priori that there is more happiness in the West than there is among the citizens of other civilizations). Since, however, these axes of evaluation do not run in tandem, we cannot expect to be able to formulate some single criterion which would enable us to rank civilizations in a simple unilinear order. Even happiness (pace some proponents of the utilitarian philosophy) comes in different types, and to count in the civilization stakes the happiness involved would presumably need to be of the right kind. Thus it is not clear that happiness derived from, say, taking drugs or torturing small animals is going to be able to count in favor of a civilization as much as, say, happiness derived from reading poetry or planting corn. Hence, for these and other reasons, we will have to deal with a multidimensional framework, in which some civilizations may excel along some axes but do badly on others. A further problem turns on the fact that there is no such relation as better than. Rather, when A is better than B then this is always in some respect C. Yet even when we compare one thing with another in some given respect we are not always dealing with a simple linear order. This is because the relation ‘being better than in respect C’ is not in every case transitive.. (shrink)

Is it possible to compare civilizations one with another? Is it possible, in other words, to construct some neutral and objective framework in terms of which we could establish in what respects one civilization might deserve to be ranked more highly than its competitors? Morality will surely provide one axis of such a framework (and we note in passing that believers in Islam might quite reasonably claim that their fellow-believers are characteristically more moral than are many in the West). Criteria (...) such as material well-being will need to play a role, too, as also will happiness or pleasure (and again we note that it is not clear a priori that there is more happiness in the West than there is in other civilizations). But even happiness (pace some proponents of the utilitarian philosophy) comes in different types, and to count in the civilization stakes the happiness involved would presumably need to be of the right kind. We explore what this might mean in terms of the idea of a self-chosen life plan. (shrink)

This paper explores the current obstacles that a cognitive theory of humor faces. More specifically, I argue that the nebulous and ill-defined nature of humor makes it difficult to tell what counts as clear instances of, and deficits in, the phenomenon.Without getting clear on this, we cannot identify the underlying cognitive mechanisms responsible for humor. Moreover, being too quick to draw generalizations regarding the ubiquity of humor, or its uniqueness to humans, without substantially clarifying the phenomenon and its occurrences is (...) not only unwise but can actually be a detriment to our study of humor. As such, these sorts of claims must be resisted. I conclude the paper by pointing the way forward to addressing these obstacles. -/- . (shrink)

In what respects is Western civilization superior or inferior to its rivals? In raising this question we are addressing a particularly strong form of the problem of relativism. For in order to compare civilizations one with another we would need to be in possession of a framework based on principles of evaluation which would be acceptable, in principle, to all human beings. Morality will surely provide one axis of such a framework (and we note in passing that believers in Islam (...) might quite reasonably claim that their fellow-believers are characteristically more moral than are many in the West). Criteria such as material wellbeing, too, will need to play a role, as also will happiness or pleasure. Even happiness (pace some proponents of the utilitarian philosophy) comes in different types, and to count in the civilization stakes the happiness involved would presumably need to be of the right kind. We propose a specification for what this ‘right kind’ of happiness might be. (shrink)

In his “Reply to Iddo Landau,” Edmund Wall responds to the author’s critique of some of the views expressed in his “Sexual Harassment and Wrongful Communication.” The present article concentrates on what the author takes to be the main problem in Wall’s definition: by requiring that any act, even if intentional and cruel in nature, needs to be repeated to count as sexual harassment, Wall allows too much leeway and renders permissible a wide range of intentional, mean, and harmful (...) actions that most, including, the author believes, Wall himself, would like to outlaw. The article considers Wall’s linguistic and nonlinguistic responses to this critique and finds them problematic. (shrink)

Empirical findings may be relevant for aesthetic evaluation in at least two ways. First — within criticism — they may help us to identify the aesthetic value of objects. Second— whithin philosophy — they may help us to decide which theory of aesthetic value and evaluation to prefer. In this paper, I address both kinds of relevance. My focus is thereby on empirical evidence gathered, not by means of first-personal experiences, but by means of third-personal scientific investigations of individual artworks (...) or, more generally, our interaction with art. The main thesis to be defended is that third-personal empirical findings are of limited significance for both critical and philosophical aesthetics. Indeed, they matter only to the extent to which they draw our attention to features or facts that we then iden- tify, from our first-personal perspective, as aesthetically relevant — for instance, as reasons counting for or against certain ascriptions of aesthetic value, or as factors that causally influence our actual as- sessments and thus render them partly inadequate or irrational. This limited significance of empirical findings is in line with the rationalist approach to the formation and justification of aesthetic judgements, that I have already started to defend elsewhere. -/- With respect to critical aesthetics, one problem is that empirical investigations cannot capture the normativity of the aesthetic relevance of lower-level features or facts: the respective studies can tell us what we take to be reason-giving or valuable, but not what is reason-giving or valuable. Furthermore, we cannot use empirically knowable principles to infer the presence of aesthetic values or reasons on the basis of recognising measurable lower-level features because the only available principles are too specific to allow for their actual application to more than one existing object, or even for their actual formulation. For their antecedents make reference to a large number of very determinate properties, as well as sometimes to particular events of creation. The only exception are conceptual principles (such as ‘something symmetrical is balanced’) or default principles (such as ‘something elegant is, by default, beautiful’). But knowledge of these principles is of little inferential use due to the holistic character of the justificatory power of aesthetic reasons and, moreover, does not allow for empirical acquisition. -/- With respect to philosophical aesthetics, I start with considering the limits of evolutionary accounts of aesthetic value. Even if it is true that humans originally came to value artworks because they recognised that artworks reveal certain skills or features of artists (such as imaginativeness or resourcefulness) that are desirable in sexual partners, it does not value that our reasons for valuing art have not changed, or at least not become much more complex. In addition, the answer to the question of why we value art from an evolutionary perspective has no obvious bearing on the issue of how we should appreciate art from an aesthetic perspective, or what such aesthetic appreciation would consist in. On the other hand, experimental studies showing that our actual aesthetic evaluations are influenced by factors (such as exposure e ects, or knowledge of the prices of objects), that undermine the good standing of our responses, just reveal that it is more difficult than perhaps expected to form sound aesthetic judgements; and that we need to improve our future aesthetic judgements by diminishing as much as possible the impact of those factors. (shrink)

It is widely thought that stealing, trading and destroying cultural artifacts in time of war are inherently immoral actions, and that it is right that they be treated as war crimes, which, indeed, they currently are. But oppressive cultures have their heritage and cultural artifacts too, in the form of monuments, sites of worship, and so on; and for the oppressed, these things may be awful reminders of their subordination, and may even perpetuate it. This chapter suggests that, since cultural (...) objects can be both tools and symbols of unjust oppression, their theft and destruction ought to be seen as appropriate when this would be a means of overcoming oppression. Whatever current law may say, in these instances, it would be morally inappropriate to count such acts as war crimes. Furthermore, it is bizarre that theft and destruction of cultural property are counted as war crimes when soldiers killing each other is not (due to combatant immunity). Surely killing is worse than property destruction and theft. It is therefore argued that, where possible, it would be better for conflicts to be fought using the latter methods. Finally, the chapter responds to many objections to using theft and destruction of cultural property as a method of warfare. E.g. to the objection that such property has timeless, trans-cultural, aesthetic, historical and scientific value, it is replied that justice is a more important value; and to the objection that these practices amount to cultural genocide it is replied that unjust cultures have no right to exist unmodified. (This chapter was formerly entitled: "Culture Weaponized: A Contrarian Theory of the Sometime Appropriateness of the Destruction, Theft and Trade of Art and Cultural Artifacts in Armed Conflict." The PhilPapers archived version is a pre-penultimate version of the published version.). (shrink)