In elite sport, the advantages demonstrated by expert performers over novices are sometimes due in part to their superior physical fitness or to their greater technical precision in executing specialist motor skills. However at the very highest levels, all competitors typically share extraordinary physical capacities and have supremely well-honed techniques. Among the extra factors which can differentiate between the best performers, psychological skills are paramount. These range from the capacities to cope under pressure and to bounce back from setbacks, to (...) the knowledge of themselves, opponents, and the domain, which experts access and apply in performance. In the companion chapter on breadth and depth of knowledge in expert sport (see Chapter 11), we discussed the forms or kinds of knowledge deployed by elite athletes, and described some lines of research which seek to tap and study such expert knowledge (McPherson & MacMahon, 2008; McRobert, Ward, Eccles & Williams, 2011). In this chapter we focus more directly on questions about methods for measuring or more accurately assessing expert knowledge, in particular addressing a wider range of methods to help us understand what experts know. Suggesting that sport researchers can productively adopt and adapt existing qualitative methodologies for integration with more standard quantitative methods, we introduce and survey a number of areas of qualitative research in psychology. (shrink)

Expert skill in music performance involves an apparent paradox. On stage, expert musicians are required accurately to retrieve information that has been encoded over hours of practice. Yet they must also remain open to the demands of the ever-changing situational contingencies with which they are faced during performance. To further explore this apparent paradox and the way in which it is negotiated by expert musicians, this article profiles theories presented by Roger Chaffin, Hubert Dreyfus and Tony and Helga Noice. For (...) Chaffin, expert skill in music performance relies solely upon overarching mental representations, while, for Dreyfus, such representations are needed only by novices, while experts rely on a more embodied form of coping. Between Chaffin and Dreyfus sit the Noices, who argue that both overarching cognitive structures and embodied processes underlie expert skill. We then present the Applying Intelligence to the Reflexes (AIR) approach?a differently nuanced model of expert skill aligned with the integrative spirit of the Noices? research. The AIR approach suggests that musicians negotiate the apparent paradox of expert skill via a mindedness that allows flexibility of attention during music performance. We offer data from recent doctoral research conducted by the first author of this article to demonstrate at a practical level the usefulness of the AIR approach when attempting to understand the complexities of expert skill in music performance. (shrink)

Early modern critics of materialism (and of associated doctrines like determinism and mechanism) sometimes employed a transcendental argument form. If materialism were true, then some valuable feature of reality could not exist; but that feature does exist; therefore materialism is false. Depending on current context and concerns, the valuable 'X' in question might be God, the soul, hell, objective morality, free will, conscience, truth, knowledge, social order, or justice and the law: all, in the critics' eyes, obvious and unchallengeable realities (...) which materialism would, impossibly, extinguish.1 As David Hawkes notes in his delightfully provocative essay, it is because Hell is so manifestly real, in both the play and its world, that Faustus manifestly refutes himself in telling Mephistopheles that it is a fable. The success of such transcendental arguments relies on the truth of both their premises: Hell really must exist, and Faustus's materialism must really be incompatible with its existence. Hawkes celebrates early modern moralists who focussed on the alleged worldly and carnal roots and consequences of 'philosophical materialism', who attacked its proponents as villainous, self-interested, and depraved. (shrink)

If Australasian philosophers constitute the kind of group to which a collective identity or broadly shared self-image can plausibly be ascribed, the celebrated history of Australian materialism rightly lies close to its heart. Jack Smart’s chapter in this volume, along with an outstanding series of briefer essays in A Companion to Philosophy in Australia and New Zealand (Forrest 2010; Gold 2010; Koksvik 2010; Lycan 2010; Matthews 2010; Nagasawa 2010; Opie 2010; Stoljar 2010a), effectively describe the naturalistic realism of Australian philosophy (...) of mind. In occasional semi-serious psychogeographic speculation, this long-standing and strongly-felt intellectual attitude has been traced back to the influences of our light, land, or lifestyle (Devitt 1996, x; compare comments by Chalmers and O’Brien in Mitchell, 2006). Australasian work in philosophy of mind and cognition has become more diverse in the last 40 years, but is almost all still marked, in one way or another, by the history of these debates on materialism. (shrink)

The JTB definition of knowledge has been shown by Gettier to be incomplete: its three conditions are necessary for knowledge, but not sufficient. We argue that the JTB definition can be completed with a very simple fourth condition, namely that the justification for the belief in p must be sufficient to exclude ¬p. It is shown that the resulting JTB+S definition solves the Gettier problem.

This is a Turing Machine which computes the exponential function f(x,y) = xˆy. Instructions format and operation of this machine are intended to best reflect the basic conditions outlined by Alan Turing in his On Computable Numbers, with an Application to the Entscheidungsproblem (1936), using the simplest single-tape and single-symbol version, in essence due to Kleene (1952) and Carnielli & Epstein (2008). This machine is composed by four basic task machines: one which checks if exponent y is zero, a second (...) which checks if base x is zero, a third that is able to copy the base, and a fourth able to multiply multiple factors (in this case, factors will be all equal). They were conveniently separated in order to ease the reader's task to understand each step of its operation. We adopt the convention that a number n is represented by a string of n+1 symbols "1". Thus, an entry (x, y) will be represented by two respective strings of x+1 and y+1 symbols "1", separated by a single "0" (or a blank), and as an output, this machine will generate a string of (xˆy)+1 symbols "1". Some of the instructions are followed by a brief description of what's going on. (shrink)

In the past twenty years, scholarly interest in John Dewey's later writings has surged. While later works such as Art as Experience (1934), Logic: The Theory of Inquiry (1938), and Freedom and Culture (1939) have received considerable attention, Knowing and the Known (1949), Dewey's late-in-life collaboration with Arthur F. Bentley, has been largely neglected. A common bias among Dewey scholars is that this work, instead of developing Dewey's Logic, departs from its spirit, reflects the overbearing influence of Bentley on Dewey (...) (who was at the time an octogenarian), and, therefore, merits little serious scholarly consideration. However, Dewey and Bentley engaged in an extended correspondence, collected in John Dewey and Arthur Bentley: A Philosophical Correspondence, 1932-1951 (1964), the result of which was no less than a watershed moment in Dewey's thinking on the experimental method of inquiry. The Logic was improved in ways that incorporated the insights of Charles Sanders Peirce's logic and developed Dewey's earlier work in a direction expressly intended by the aging pragmatist. Indeed, Dewey writes in correspondence with his co-author: "You [Bentley] shouldn't lean too heavily on the [1938] Logic; it wasn't a bad job at the time, but I could do better now [with Knowing and the Known]; largely through association with you and getting the courage to see my thing [logical theory] through without compromise" (Correspondence, 4:595, see also 184, 420, 481, 483-84). One of the few scholars of American pragmatism to acknowledge that Knowing and the Known was a watershed development in Dewey's thinking is Frank X. Ryan, author of an exciting new book, Seeing Together: Mind, Matter, and the Experimental Outlook of John Dewey and Arthur F. Bentley, that clearly and concisely presents the revolutionary method developed in Knowing and Known: the transactional approach. (shrink)

Let f(1)=2, f(2)=4, and let f(n+1)=f(n)! for every integer n≥2. Edmund Landau's conjecture states that the set P(n^2+1) of primes of the form n^2+1 is infinite. Landau's conjecture implies the following unproven statement Φ: card(P(n^2+1))<ω ⇒ P(n^2+1)⊆[2,f(7)]. Let B denote the system of equations: {x_j!=x_k: i,k∈{1,...,9}}∪{x_i⋅x_j=x_k: i,j,k∈{1,...,9}}. The system of equations {x_1!=x_1, x_1 \cdot x_1=x_2, x_2!=x_3, x_3!=x_4, x_4!=x_5, x_5!=x_6, x_6!=x_7, x_7!=x_8, x_8!=x_9} has exactly two solutions in positive integers x_1,...,x_9, namely (1,...,1) and (f(1),...,f(9)). No known system S⊆B with a finite (...) number of solutions in positive integers x_1,...,x_9 has a solution (x_1,...,x_9)∈(N\{0})^9 satisfying max(x_1,...,x_9)>f(9). For every known system S⊆B, if the finiteness/infiniteness of the set {(x_1,...,x_9)∈(N\{0})^9: (x_1,...,x_9) solves S} is unknown, then the statement ∃ x_1,...,x_9∈N\{0} ((x_1,...,x_9) solves S)∧(max(x_1,...,x_9)>f(9)) remains unproven. Let Λ denote the statement: if the system of equations {x_2!=x_3, x_3!=x_4, x_5!=x_6, x_8!=x_9, x_1 \cdot x_1=x_2, x_3 \cdot x_5=x_6, x_4 \cdot x_8=x_9, x_5 \cdot x_7=x_8} has at most finitely many solutions in positive integers x_1,...,x_9, then each such solution (x_1,...,x_9) satisfies x_1,...,x_9≤f(9). The statement Λ is equivalent to the statement Φ. It heuristically justifies the statement Φ . This justification does not yield the finiteness/infiniteness of P(n^2+1). We present a new heuristic argument for the infiniteness of P(n^2+1), which is not based on the statement Φ. Algorithms always terminate. We explain the distinction between existing algorithms (i.e. algorithms whose existence is provable in ZFC) and known algorithms (i.e. algorithms whose definition is constructive and currently known). Assuming that the infiniteness of a set X⊆N is false or unproven, we define which elements of X are classified as known. No known set X⊆N satisfies Conditions (1)-(4) and is widely known in number theory or naturally defined, where this term has only informal meaning. *** (1) A known algorithm with no input returns an integer n satisfying card(X)<ω ⇒ X⊆(-∞,n]. (2) A known algorithm for every k∈N decides whether or not k∈X. (3) No known algorithm with no input returns the logical value of the statement card(X)=ω. (4) There are many elements of X and it is conjectured, though so far unproven, that X is infinite. (5) X is naturally defined. The infiniteness of X is false or unproven. X has the simplest definition among known sets Y⊆N with the same set of known elements. *** Conditions (2)-(5) hold for X=P(n^2+1). The statement Φ implies Condition (1) for X=P(n^2+1). The set X={n∈N: the interval [-1,n] contains more than 29.5+\frac{11!}{3n+1}⋅sin(n) primes of the form k!+1} satisfies Conditions (1)-(5) except the requirement that X is naturally defined. 501893∈X. Condition (1) holds with n=501893. card(X∩[0,501893])=159827. X∩[501894,∞)= {n∈N: the interval [-1,n] contains at least 30 primes of the form k!+1}. We present a table that shows satisfiable conjunctions of the form #(Condition 1) ∧ (Condition 2) ∧ #(Condition 3) ∧ (Condition 4) ∧ #(Condition 5), where # denotes the negation ¬ or the absence of any symbol. No set X⊆N will satisfy Conditions (1)-(4) forever, if for every algorithm with no input, at some future day, a computer will be able to execute this algorithm in 1 second or less. The physical limits of computation disprove this assumption. (shrink)

This tenth volume of Collected Papers includes 86 papers in English and Spanish languages comprising 972 pages, written between 2014-2022 by the author alone or in collaboration with the following 105 co-authors (alphabetically ordered) from 26 countries: Abu Sufian, Ali Hassan, Ali Safaa Sadiq, Anirudha Ghosh, Assia Bakali, Atiqe Ur Rahman, Laura Bogdan, Willem K.M. Brauers, Erick González Caballero, Fausto Cavallaro, Gavrilă Calefariu, T. Chalapathi, Victor Christianto, Mihaela Colhon, Sergiu Boris Cononovici, Mamoni Dhar, Irfan Deli, Rebeca Escobar-Jara, Alexandru Gal, N. (...) Gandotra, Sudipta Gayen, Vassilis C. Gerogiannis, Noel Batista Hernández, Hongnian Yu, Hongbo Wang, Mihaiela Iliescu, F. Nirmala Irudayam, Sripati Jha, Darjan Karabašević, T. Katican, Bakhtawar Ali Khan, Hina Khan, Volodymyr Krasnoholovets, R. Kiran Kumar, Manoranjan Kumar Singh, Ranjan Kumar, M. Lathamaheswari, Yasar Mahmood, Nivetha Martin, Adrian Mărgean, Octavian Melinte, Mingcong Deng, Marcel Migdalovici, Monika Moga, Sana Moin, Mohamed Abdel-Basset, Mohamed Elhoseny, Rehab Mohamed, Mohamed Talea, Kalyan Mondal, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Ihsan, Muhammad Naveed Jafar, Muhammad Rayees Ahmad, Muhammad Saeed, Muhammad Saqlain, Muhammad Shabir, Mujahid Abbas, Mumtaz Ali, Radu I. Munteanu, Ghulam Murtaza, Munazza Naz, Tahsin Oner, ‪Gabrijela Popović‬‬‬‬‬, Surapati Pramanik, R. Priya, S.P. Priyadharshini, Midha Qayyum, Quang-Thinh Bui, Shazia Rana, Akbara Rezaei, Jesús Estupiñán Ricardo, Rıdvan Sahin, Saeeda Mirvakili, Said Broumi, A. A. Salama, Flavius Aurelian Sârbu, Ganeshsree Selvachandran, Javid Shabbir, Shio Gai Quek, Son Hoang Le, Florentin Smarandache, Dragiša Stanujkić, S. Sudha, Taha Yasin Ozturk, Zaigham Tahir, The Houw Iong, Ayse Topal, Alptekin Ulutaș, Maikel Yelandi Leyva Vázquez, Rizha Vitania, Luige Vlădăreanu, Victor Vlădăreanu, Ștefan Vlăduțescu, J. Vimala, Dan Valeriu Voinea, Adem Yolcu, Yongfei Feng, Abd El-Nasser H. Zaied, Edmundas Kazimieras Zavadskas.‬‬. (shrink)

Mark Johnston (2016, 2017) has raised concerns that a worm-theoretic account of persistence through time is incompatible with ethical singularity: that within the life of any actual person, there is only one morally considerable being, namely that person. To deny ethical singularity is to deny a core feature of our ordinary ethical and prudential thinking. The worm theory, Johnston concludes, proves to be “disastrous … for our ordinary moral outlook”. This paper defends the worm theory from Johnston’s argument. Though I (...) agree that the worm theory must deny ethical singularity, it can nevertheless be squared with our ordinary ethical thinking by adopting a temporal counterpart analysis of temporal predication (‘x will be F’, ‘x was previously F’, etc.) for those morally considerable beings involved in a person’s life that are not the person. (shrink)

Arguments are given against the thesis that properties and propositional functions are identical. The first shows that the familiar extensional treatment of propositional functions -- that, for all x, if f(x) = g(x), then f = g -- must be abandoned. Second, given the usual assumptions of propositional-function semantics, various propositional functions (e.g., constant functions) are shown not to be properties. Third, novel examples are given to show that, if properties were identified with propositional functions, crucial fine-grained intensional distinctions would (...) be lost. (shrink)

Instead of the half-century old foundational feud between set theory and category theory, this paper argues that they are theories about two different complementary types of universals. The set-theoretic antinomies forced naïve set theory to be reformulated using some iterative notion of a set so that a set would always have higher type or rank than its members. Then the universal u_{F}={x|F(x)} for a property F() could never be self-predicative in the sense of u_{F}∈u_{F}. But the mathematical theory of categories, (...) dating from the mid-twentieth century, includes a theory of always-self-predicative universals--which can be seen as forming the "other bookend" to the never-self-predicative universals of set theory. The self-predicative universals of category theory show that the problem in the antinomies was not self-predication per se, but negated self-predication. They also provide a model (in the Platonic Heaven of mathematics) for the self-predicative strand of Plato's Theory of Forms as well as for the idea of a "concrete universal" in Hegel and similar ideas of paradigmatic exemplars in ordinary thought. (shrink)

There exists a huge number of numerical methods that iteratively construct approximations to the solution y(x) of an ordinary differential equation (ODE) y′(x) = f(x,y) starting from an initial value y_0=y(x_0) and using a finite approximation step h that influences the accuracy of the obtained approximation. In this paper, a new framework for solving ODEs is presented for a new kind of a computer – the Infinity Computer (it has been patented and its working prototype exists). The new computer is (...) able to work numerically with finite, infinite, and infinitesimal numbers giving so the possibility to use different infinitesimals numerically and, in particular, to take advantage of infinitesimal values of h. To show the potential of the new framework a number of results is established. It is proved that the Infinity Computer is able to calculate derivatives of the solution y(x) and to reconstruct its Taylor expansion of a desired order numerically without finding the respective derivatives analytically (or symbolically) by the successive derivation of the ODE as it is usually done when the Taylor method is applied. Methods using approximations of derivatives obtained thanks to infinitesimals are discussed and a technique for an automatic control of rounding errors is introduced. Numerical examples are given. (shrink)

x and y are at least weakly indiscernible if they are distinct with respect to two predicates F and G (FxGy or FyGx and not both) but for all z except x and y, Fz if and only if Gz.

Geoffrey V. Sutton, Science for a Polite Society: Gender, Culture, and the Demonstration of Enlightenment (Boulder, CO: Westview Press, 1995), xiii + 391 pp., ISBN 0-8133-1575-1. -/- Christian Licoppe, La formation de la pratique scientifique: le discours de l’expe´rience en France et en Angleterre (1630–1820) (Paris: Editions de la de´ couverte, 1996), 346 pp., ISBN 2-7071-2530-X.

We argue that all comparative expressions in natural language obey a principle that we call Comparability: if x and y are at least as F as themselves, then either x is at least as F as y or y is at least as F as x. This principle has been widely rejected among philosophers, especially by ethicists, and its falsity has been claimed to have important normative implications. We argue that Comparability is needed to explain the goodness of several patterns (...) of inference that seem manifestly valid, that the purported failures of Comparability would have absurd consequences, and that the influential arguments against Comparability are less compelling than they may have initially seemed. (shrink)

Tarixi biliklər məcmusu olan- idrak və onun istiqamətləri, insan hissləri, qavrayış, təsəvvür və onların müasir ictimai həyatdakı əksinin tədqiqi, həm də “müsəlman idrakı” anlayışı İslam fəlsəfəsində xüsusi mövqeyə malikdir. Müxtəlif alimlər ət-Tirmizi, Əbu Əbdullah əl-Haris, Əbu Əbdullah əl-Qurtubi, ibn Həcər əl-Əsqalani və başqalarının bu mövzuda xüsusi yanaşması olmuşdur. Bu məsələ ilə əlaqədar olan “mötəzililər”, “ismailililər”, “mistisistlər” (sufilər), “işraqilər”, həmçinin Şərq peripatetizminin ardıcılları varlıq, bilik təlimləri, “nəfs və qəlbin ölməzliyi” və idrakın əsas elementi olan təcrübə haqqında qiymətli fikir xəzinələri qoymuşlar. Bu (...) da müasir tədrisdə vacib yer tutur. Məqalədə “İdrak fəlsəfəsi” anlayışına nəzər salınmış, onun yaranması, əhəmiyyəti, canlı və cansız təbiətdəki əksi, istiqamətləri və fərqliliyi ilə əlaqədar fikirlər şərh edilmiş, müasir islamşünaslıqda bu anlayışın tədrisində istinad ediləcək məqamlara diqqət yetirilmişdir. Bu məqsədlə araşdırmada “İdrak- beyin xüsusiyyətidir”, “Cansız təbiətdə idrakın əksi”, “Canlı təbiətdə idrakın təzahürü”, “Dərk necə yaranıb?”, “İdrakın mahiyyəti nədir?”, “İdrakın istiqamətləri”, “İdrak dəyişkənliyi” və digər suallara Şərq-Qərq fəlsəfi görüşlərinə əsasən nəzər salınaraq qeyd edilən problemin həllinə cəhd edilmişdir. Zənginliyi və müxtəlifliyi ilə seçilən İslam fəlsəfəsində dini idrak ilə birgə həm də dünyəvi və real düşüncə mövcud olmuşdur. Bu axın yeni dövrün tələbi ilə müəyyən dəyişikliyə uğramış və nəinki Şərq, həm də dünyaya öz təsirini göstərmişdir. (shrink)

Schnieder (2020) argues, against Orilia (2009) and Koslicki (2013), that claims of existential grounding of the form “the fact that x exists is grounded in the fact that y is F” cannot be grounded in claims of existential dependence of the form “x existentially depends on y” and defends the view that the latter claims are grounded, via a definition of existential dependence, in the former. I will firstly argue that Schnieder’s main point against the claim that existential grounding is (...) grounded in existential dependence is not conclusive; I will then put forward a proposal concerning how claims of existential grounding can be grounded in claims of existential dependence. The proposal is a third way between those of Schnieder and Orilia/Koslicki which, although accepting the former’s definition of existential dependence in terms of grounding, makes room for the latter’s idea that existential dependence does the real job in structuring reality. (shrink)

This pаpеr prоvidеs thе first еmpiricаl еvidеncе оn thе еxistеncе оf nеgаtivе spillоvеr еffеcts frоm childrеn еxpоsеd tо cоrpоrаl punishmеnt in thе hоmе (CPH). Wе find thаt intеrаctiоns with pееrs suffеring frоm CPH dеprеss аchiеvеmеnt in bоth mаth аnd lаnguаgе аmоng Viеtnаmеsе fifth grаdеrs. Spеcificаlly, а оnе stаndаrd dеviаtiоn incrеаsе in thе Pееrs’ Viоlеncе Indеx is аssоciаtеd with а rеductiоn in thе mаth аnd thе lаnguаgе tеst scоrеs by 0.11 аnd 0.14 stаndаrd dеviаtiоns, rеspеctivеly. Thеsе аdvеrsе impаcts cоuld pоtеntiаlly bе (...) аttributеd tо thе unfаvоrаblе chаngеs in studеnt аcаdеmic аspirаtiоns, studеnt аctuаl lеаrning еffоrts, аnd thе intеr-studеnt rеlаtiоnships. (shrink)

Williamsonian modal epistemology is characterized by two commitments: realism about modality, and anti-exceptionalism about our modal knowledge. Williamson’s own counterfactual-based modal epistemology is the best known implementation of WME, but not the only option that is available. I sketch and defend an alternative implementation which takes our knowledge of metaphysical modality to arise, not from knowledge of counterfactuals, but from our knowledge of ordinary possibility statements of the form ‘x can F’. I defend this view against a criticism indicated in (...) Williamson’s own work, and argue that it is better connected to the semantics of modal language. (shrink)

This paper presents a way of formalising definite descriptions with a binary quantifier ι, where ιx[F, G] is read as ‘The F is G’. Introduction and elimination rules for ι in a system of intuitionist negative free logic are formulated. Procedures for removing maximal formulas of the form ιx[F, G] are given, and it is shown that deductions in the system can be brought into normal form.

Sentences containing definite descriptions, expressions of the form ‘The F’, can be formalised using a binary quantifier ι that forms a formula out of two predicates, where ιx[F, G] is read as ‘The F is G’. This is an innovation over the usual formalisation of definite descriptions with a term forming operator. The present paper compares the two approaches. After a brief overview of the system INFι of intuitionist negative free logic extended by such a quantifier, which was presented in (...) (Kürbis 2019), INFι is first compared to a system of Tennant’s and an axiomatic treatment of a term forming ι operator within intuitionist negative free logic. Both systems are shown to be equivalent to the subsystem of INFι in which the G of ιx[F, G] is restricted to identity. INFι is then compared to an intuitionist version of a system of Lambert’s which in addition to the term forming operator has an operator for predicate abstraction for indicating scope distinctions. The two systems will be shown to be equivalent through a translation between their respective languages. Advantages of the present approach over the alternatives are indicated in the discussion. (shrink)

This pаpеr prоvidеs thе first еmpiricаl еvidеncе оn thе еxistеncе оf nеgаtivе spillоvеr еffеcts frоm childrеn еxpоsеd tо cоrpоrаl punishmеnt in thе hоmе (CPH). Wе find thаt intеrаctiоns with pееrs suffеring frоm CPH dеprеss аchiеvеmеnt in bоth mаth аnd lаnguаgе аmоng Viеtnаmеsе fifth grаdеrs. Spеcificаlly, а оnе stаndаrd dеviаtiоn incrеаsе in thе Pееrs’ Viоlеncе Indеx is аssоciаtеd with а rеductiоn in thе mаth аnd thе lаnguаgе tеst scоrеs by 0.11 аnd 0.14 stаndаrd dеviаtiоns, rеspеctivеly. Thеsе аdvеrsе impаcts cоuld pоtеntiаlly bе (...) аttributеd tо thе unfаvоrаblе chаngеs in studеnt аcаdеmic аspirаtiоns, studеnt аctuаl lеаrning еffоrts, аnd thе intеr-studеnt rеlаtiоnships. (shrink)

Whilе thе rоbust аnd pоsitivе аssоciаtiоn bеtwееn еducаtiоn аnd pоliticаl еngаgеmеnt hаs bееn widеly dоcumеntеd, thе dirеct cаusаl link is still а subjеct оf dеbаtе. This study cоntributеs tо thе оngоing dеbаtе by еxаmining whеthеr thеrе еxists а cаusаl еffеct оf еducаtiоn оn pоliticаl еngаgеmеnt. Explоiting thе plаusibly еxоgеnоus vаriаtiоn in еducаtiоn inducеd by thе cоmpulsоry schооling rеfоrms аcrоss 39 cоuntriеs, wе find thаt еducаtiоn cultivаtеs pоliticаl intеrеst, prоmоtеs thе аcquisitiоn оf pоliticаl knоwlеdgе, аnd fоstеrs suppоrtivе аttitudеs tоwаrds pоliticаl frееdоms. (...) Nеvеrthеlеss, thе bеttеr еducаtеd аrе nо mоrе likеly tо vоtе in еlеctiоns nоr аdоpt аny spеcific pоsitiоn in thе lеft-right pоliticаl spеctrum. (shrink)

Ramseyan humility is the thesis that we cannot know which properties realize the roles specified by the laws of completed physics. Lewis seems to offer a sceptical argument for this conclusion. Humean fundamental properties can be permuted as to their causal roles and distribution throughout spacetime, yielding alternative possible worlds with the same fundamental structure as actuality, but at which the totality of available evidence is the same. On the assumption that empirical knowledge requires evidence, we cannot know which of (...) these worlds is actual. However, Lewis also appeals to a range of familiar semantic principles when framing his argument, which leads some authors to suppose that he can also plausibly be interpreted as offering a purely semantic argument for humility in addition. In this paper I grant that these arguments are Lewisian, but argue that Lewis is also committed to a theory of mind that licenses a purely metaphysical argument for humility based on the idea that mental properties supervene on fundamental structure. Given that knowing which x is the F requires knowing that a is the F, the supposition that we could come to know which properties actually occupy the fundamental roles entails differences in mental properties between worlds with the same fundamental structure, violating supervenience. Humility follows right away, without any further epistemic or semantic principles. This argument is immune to almost every way of rebutting the sceptical and semantic arguments; conversely, almost every way of rebutting the metaphysical argument tells equally against the others. (shrink)

Contrary to popular philosophical belief, judgment can indeed be an intentional action. That's because an intentional judgment, even one with content p, need not be intentional as a judgment that p. It can instead be intentional just as a judgment wh- for some specific wh- question—e.g. a judgment of which x is F or a judgment whether p. This paper explains how this is possible by laying out a means by which you can perform such an intentional action. This model (...) of intentional judgment does not stand in tension with the fact that judgment is causally regulated for truth, and that it is correct only if it is true. On the contrary, the structure of intentional action explains how an intentional judgment has these features. An extended example is developed, and sufficient conditions on intentional judgment are laid out. (shrink)

One shortcoming of the chain rule is that it does not iterate: it gives the derivative of f(g(x)), but not (directly) the second or higher-order derivatives. We present iterated differentials and a version of the multivariable chain rule which iterates to any desired level of derivative. We first present this material informally, and later discuss how to make it rigorous (a discussion which touches on formal foundations of calculus). We also suggest a finite calculus chain rule (contrary to Graham, Knuth (...) and Patashnik's claim that "there's no corresponding chain rule of finite calculus"). (shrink)

I here defend a theory consisting of four claims about ‘property’ and properties, and argue that they form a coherent whole that can solve various serious problems. The claims are (1): ‘property’ is defined by the principles (PR): ‘F-ness/Being F/etc. is a property of x iff F’ and (PA): ‘F-ness/Being F/etc. is a property’; (2) the function of ‘property’ is to increase the expressive power of English, roughly by mimicking quantification into predicate position; (3) property talk should be understood at (...) face value: apparent commitments are real and our apparently literal use of ‘property’ is really literal; (4) there are no properties. In virtue of (1)–(2), this is a deflationist theory and in virtue of (3)–(4), it is an error theory. (1) is fleshed out as a claim about understanding conditions, and it is argued at length, and by going through a number of examples, that it satisfies a crucial constraint on meaning claims: all facts about ‘property’ can be explained, together with auxiliary facts, on its basis. Once claim (1) has been expanded upon, I argue that the combination of (1)–(3) provides the means for handling several problems: they help giving a happy-face solution to what I call the paradox of abstraction , they form part of a plausible account of the correctness of committive sentences, and, most importantly, they help respond to various indispensability arguments against nominalism. (shrink)

PLEASE NOTE: This is the corrected 2nd eBook edition, 2021. ●●●●● _Critique of Impure Reason_ has now also been published in a printed edition. To reduce the otherwise high price of this scholarly, technical book of nearly 900 pages and make it more widely available beyond university libraries to individual readers, the non-profit publisher and the author have agreed to issue the printed edition at cost. ●●●●● The printed edition was released on September 1, 2021 and is now available through (...) all booksellers, including Barnes & Noble, Amazon, and brick-and-mortar bookstores under ISBN 978-0-578-88646-6. ●●●●● In light of the length of this book, readers who would like to have a more detailed description of the book's objectives and method may find it helpful to read the detailed and clearly written Wikipedia entry about this work: From the Wikipedia search page, use the search phrase "Critique of Impure Reason". At least at the time of this writing (11/29/2021), the Wikipedia entry is well-researched and accurate. ●●●●● In addition, a "Primer on Bartlett's CRITIQUE OF IMPURE REASON" has been made available by the author. It is available under its title through PhilPapers and other philosophy online archives. ●●●●● COMMENDATIONS OF THIS WORK, from the back cover of the published edition: ●●●●● “I admire its range of philosophical vision.” – Nicholas Rescher, Distinguished University Professor of Philosophy, University of Pittsburgh, author of more than 100 books. ●●●●● “Bartlett’s _Critique of Impure Reason_ is an impressive, bold, and ambitious work. Careful scholarship is balanced by original analyses that lead the reader to recognize the limits of meaning, knowledge, and conceptual possibility. The work addresses a host of traditional philosophical problems, among them the nature of space, time, causality, consciousness, the self, other minds, ontology, free will and determinism, and others. The book culminates in a fascinating and profound new understanding of relativity physics and quantum theory.” – Gerhard Preyer, Professor of Philosophy, Goethe-University, Frankfurt am Main, Germany, author of many books including _Concepts of Meaning_, _Beyond Semantics and Pragmatics_, _Intention and Practical Thought_, and _Contextualism in Philosophy_. ●●●●● “[This work’s] goal is of a unique and difficult species: Dr. Bartlett seeks to develop a formal logical calculus on the basis of transcendental philosophical arguments; in fact, he hopes that this calculus will be the formal expression of the transcendental foundation of knowledge.... I consider Dr. Bartlett’s work soundly conceived and executed with great skill.” – C. F. von Weizsäcker, philosopher and physicist, former Director, Max-Planck-Institute, Starnberg, Germany. ●●●●● “Bartlett has written an American “Prolegomena to All Future Metaphysics.” He aims rigorously to eliminate meaningless assertions, reach bedrock, and place philosophy on a firm foundation that will enable it, like science and mathematics, to produce lasting results that generations to come can build on. This is a great book, the fruit of a lifetime of research and reflection, and it deserves serious attention.” — Martin X. Moleski, former Professor, Canisius College, Buffalo, NY, studies of scientific method, the presuppositions of thought, and the self-referential nature of epistemology. ●●●●● “Bartlett has written a book on what might be called the underpinnings of philosophy. It has fascinating depth and breadth, and is all the more striking due to its unifying perspective based on the concepts of reference and self-reference.” – Don Perlis, Professor of Computer Science, University of Maryland, author of numerous publications on self-adjusting autonomous systems and philosophical issues concerning self-reference, mind, and consciousness. ●●●●● ●●●●● The _Critique of Impure Reason: Horizons of Possibility and Meaning_ comprises a major and important contribution to philosophy. Thanks to the generosity of its publisher, this massive 885-page volume has been published as a free open access eBook (3.75MB) as well as an open access printed edition. It inaugurates a revolutionary paradigm shift in philosophical thought by providing compelling and long-sought-for solutions to a wide range of philosophical problems. In the process, the work fundamentally transforms the way in which the concepts of reference, meaning, and possibility are understood. The book includes a Foreword by the celebrated German philosopher and physicist Carl Friedrich von Weizsäcker. ●●●●● In Kant’s _Critique of Pure Reason_ we find an analysis of the preconditions of experience and of knowledge. In contrast, but yet in parallel, the new _Critique_ focuses upon the ways—unfortunately very widespread and often unselfconsciously habitual—in which many of the concepts that we employ _conflict_ with the very preconditions of meaning and of knowledge. ●●●●● This is a book about the boundaries of frameworks and about the unrecognized conceptual confusions in which we become entangled when we attempt to transgress beyond the limits of the possible and meaningful. We tend either not to recognize or not to accept that we all-too-often attempt to trespass beyond the boundaries of the frameworks that make knowledge possible and the world meaningful. ●●●●● The _Critique of Impure Reason_ proposes a bold, ground-breaking, and startling thesis: that a great many of the major philosophical problems of the past can be solved through the recognition of a viciously deceptive form of thinking to which philosophers as well as non-philosophers commonly fall victim. For the first time, the book advances and justifies the criticism that a substantial number of the questions that have occupied philosophers fall into the category of “impure reason,” violating the very conditions of their possible meaningfulness. ●●●●● The purpose of the study is twofold: first, to enable us to recognize the boundaries of what is referentially forbidden—the limits beyond which reference becomes meaningless—and second, to avoid falling victims to a certain broad class of conceptual confusions that lie at the heart of many major philosophical problems. As a consequence, the boundaries of _possible meaning_ are determined. ●●●●● Bartlett, the author or editor of more than 20 books, is responsible for identifying this widespread and delusion-inducing variety of error, _metalogical projection_. It is a previously unrecognized and insidious form of erroneous thinking that undermines its own possibility of meaning. It comes about as a result of the pervasive human compulsion to seek to transcend the limits of possible reference and meaning. ●●●●● Based on original research and rigorous analysis combined with extensive scholarship, the _Critique of Impure Reason_ develops a self-validating method that makes it possible to recognize, correct, and eliminate this major and pervasive form of fallacious thinking. In so doing, the book provides at last provable and constructive solutions to a wide range of major philosophical problems. ●●●●● CONTENTS AT A GLANCE ▪▪▪▪▪ Preface ▪▪▪▪▪ Foreword by Carl Friedrich von Weizsäcker ▪▪▪▪▪ Acknowledgments ▪▪▪▪▪ Avant-propos: A philosopher’s rallying call ▪▪▪▪▪ Introduction ▪▪▪▪▪ A note to the reader ▪▪▪▪▪ A note on conventions ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART I ▪▪▪▪▪ ▪▪▪▪▪ WHY PHILOSOPHY HAS MADE NO PROGRESS AND HOW IT CAN ▪▪▪▪▪ 1 Philosophical-psychological prelude ▪▪▪▪▪ 2 Putting belief in its place: Its psychology and a needed polemic ▪▪▪▪▪ 3 Turning away from the linguistic turn: From theory of reference to metalogic of reference ▪▪▪▪▪ 4 The stepladder to maximum theoretical generality ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART II ▪▪▪▪▪ THE METALOGIC OF REFERENCE ▪▪▪▪▪ A New Approach to Deductive, Transcendental Philosophy ▪▪▪▪▪ 5 Reference, identity, and identification ▪▪▪▪▪ 6 Self-referential argument and the metalogic of reference ▪▪▪▪▪ 7 Possibility theory ▪▪▪▪▪ 8 Presupposition logic, reference, and identification ▪▪▪▪▪ 9 Transcendental argumentation and the metalogic of reference ▪▪▪▪▪ 10 Framework relativity ▪▪▪▪▪ 11 The metalogic of meaning ▪▪▪▪▪ 12 The problem of putative meaning and the logic of meaninglessness ▪▪▪▪▪ 13 Projection ▪▪▪▪▪ 14 Horizons ▪▪▪▪▪ 15 De-projection ▪▪▪▪▪ 16 Self-validation ▪▪▪▪▪ 17 Rationality: Rules of admissibility ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART III ▪▪▪▪▪ PHILOSOPHICAL APPLICATIONS OF THE METALOGIC OF REFERENCE ▪▪▪▪▪ Major Problems and Questions of Philosophy and the Philosophy of Science ▪▪▪▪▪ 18 Ontology and the metalogic of reference ▪▪▪▪▪ 19 Discovery or invention in general problem-solving, mathematics, and physics ▪▪▪▪▪ 20 The conceptually unreachable: “The far side” ▪▪▪▪▪ 21 The projections of the external world, things-in-themselves, other minds, realism, and idealism ▪▪▪▪▪ 22 The projections of time, space, and space-time ▪▪▪▪▪ 23 The projections of causality, determinism, and free will ▪▪▪▪▪ 24 Projections of the self and of solipsism ▪▪▪▪▪ 25 Non-relational, agentless reference and referential fields ▪▪▪▪▪ 26 Relativity physics as seen through the lens of the metalogic of reference ▪▪▪▪▪ 27 Quantum theory as seen through the lens of the metalogic of reference ▪▪▪▪▪ 28 Epistemological lessons learned from and applicable to relativity physics and quantum theory ▪▪▪▪▪ ▪▪▪▪▪ PART IV ▪▪▪▪▪ HORIZONS ▪▪▪▪▪ 29 Beyond belief ▪▪▪▪▪ 30 _Critique of Impure Reason_: Its results in retrospect ▪▪▪▪▪ ▪▪▪▪▪ SUPPLEMENT ▪▪▪▪▪ The Formal Structure of the Metalogic of Reference ▪▪▪▪▪ APPENDIX I ▪▪▪▪▪ The Concept of Horizon in the Work of Other Philosophers ▪▪▪▪▪ APPENDIX II ▪▪▪▪▪ Epistemological Intelligence ▪▪▪▪▪ References ▪▪▪▪▪ Index ▪▪▪▪▪ About the author. 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In Metaphysics M.2, 1077a9-14, Aristotle appears to argue against the existence of Platonic Forms on the basis of there being certain universal mathematical proofs which are about things that are ‘beyond’ the ordinary objects of mathematics and that cannot be identified with any of these. It is a very effective argument against Platonism, because it provides a counter-example to the core Platonic idea that there are Forms in order to serve as the object of scientific knowledge: the universal of which (...) theorems of universal mathematics are proven in Greek mathematics is neither Quantity in general nor any of the specific quantities, but Quantity-of-type-x. This universal cannot be a Platonic Form, for it is dependent on the types of quantity over which the variable ranges. Since for both Plato and Aristotle the object of scientific knowledge is that F which explains why G holds, as shown in a ‘direct’ proof about an arbitrary F (they merely disagree about the ontological status of this arbitrary F, whether a Form or a particular used in so far as it is F), Plato cannot maintain that Forms must be there as objects of scientific knowledge - unless the mathematics is changed. (shrink)

In "How to Define Intrinsic Properties" I offered a relational account of the intrinsic/extrinsic distinction. The basic idea is that F is an intrinsic property of an item x just in case x’s having F consists entirely in x’s having certain internal properties, where an internal property is one whose instantiation does not consist in one’s relation to any distinct items (items other than oneself and one’s proper parts). I still think that this relational analysis is largely correct, and here (...) I provide additional support for it and defend it against some objections that have been raised. In the process I aim to make the account somewhat more precise, especially by contrasting it with a grounding approach to defining the intrinsic/extrinsic distinction. (shrink)

According to influential arguments from several branches of philosophy, there exist some gradable natural language expressions that violate the following principle: if x and y are both F to some degree, then either x is at least as F as y or y is at least as F as x. Dorr, Nebel and Zuehl (2022) (DNZ), who refer to this principle as ‘Comparability’, respond to these arguments and offer a systematic case in support of Comparability. In this paper, I respond (...) to DNZ and develop an opposing case against Comparability that (i) buttresses previous criticisms of the principle, (ii) identifies two new arguments against the principle, and (iii) rebuts DNZ’s prospective arguments in favour of the principle. (shrink)

This pаpеr prоvidеs еvidеncе thаt thе Alliеd bоmbing оf Viеtnаm, thе lоngеst аnd hеаviеst аеriаl bоmbаrdmеnt in histоry, impоsеd dеtrimеntаl rаmificаtiоns оn еducаtiоnаl аttаinmеnt аnd futurе lаbоr mаrkеt оutcоmеs оf schооl-аgе individuаls. By еxplоiting thе plаusibly еxоgеnоus districtby-cоhоrt vаriаtiоn in bоmb dеstructiоn undеr а diffеrеncе-in-diffеrеncеs frаmеwоrk, wе find thаt аn incrеаsе in bоmb intеnsity lеаds tо significаntly fеwеr еducаtiоnаl yеаrs cоmplеtеd аnd lоwеr futurе еаrnings fоr schооl-аgе childrеn еxpоsеd tо thе bоmbаrdmеnt. Wе furthеr shоw thаt bоth thе supply-sidе fаctоrs (inаdеquаtе (...) schооl sеcurity аnd thе lаck оf tеаchеrs) аnd thе dеmаnd-sidе fаctоrs (rеsidеntiаl cаsuаltiеs, rеstrictеd аccеss tо hеаlthcаrе, dаmаgеd prоpеrtiеs, аnd incrеаsеd rеliаncе оn wеlfаrе аssistаncе) cоuld bе pоtеntiаl mеchаnisms driving thе lоng-tеrm cоnsеquеncеs оf аеriаl bоmbаrdmеnt. Our findings undеrlinе thе impоrtаncе оf cоnflict prеvеntiоn аnd pоst-cоnflict rеcоnstructiоn in prоmоting sustаinаblе dеvеlоpmеnt. (shrink)

"Modern History" versions of the etiological theory claim that in order for a trait X to have the proper function F, individuals with X must have been recently favored by natural selection for doing F (Godfrey-Smith 1994; Griffiths 1992, 1993). For many traits with prototypical proper functions, however, such recent selection may not have occurred: traits may have been maintained due to lack of variation or due to selection for other effects. I examine this flaw in Modern History accounts and (...) offer an alternative etiological theory, the Continuing Usefulness account, which appears to avoid such problems. (shrink)

In this article, author expressed the meaning of “belief”, possible effective factors in human life, and how these factors can be effective on person and/or communities. With this respect, the meaning of religion, the possible interaction and relation between religion and science evaluated. 42 past/present theories of religion and evaluation of the past/present works of the 87 philosophers of religion are explained. Author considered new synthesis (R-Synthesis), and also new era philosophy, new and re-constructed branches of philosophy, and some systems/constructions (...) to express the new perspective for philosophy of religion. Author applied 27(+) possible definitive/certain result cases of the synthesis for R-Religion discipline specifically, and did the followings under new perspective: (i) eliminated some religious subjects, (ii) unified some religious subjects, (iii) modified some religious subjects, (iv) united some religious subjects in upper phase, (v) separated some religious subject, (vi) defined all religious subjects under one framework, (vii) integrated all religious subjects, (viii) defined new religious subjects, (ix) re-defined some religious subjects, (x) removed some religious subjects and put new religious subjects instead, (xi) added some religious subjects, (xii) kept/protected some religious subjects, (xiii) proposed progression for religious subjects, (xiv) changed the priority of some religious subjects, (xv) increased the importance of some religious subjects, (xvi) strengthened the ethics, (xvii) integrated philosophy branches under one framework, (xviii) others. Some of the purposes of this article are: (i) to define new synthesis method, (ii) to define good and/or correct new perspective and structure for philosophy of religion, science of religion, theories of religion, and related subjects, (iii) to extend the definition/limits of philosophy of religion with new perspective, (iv) others. As result of the synthesis, new perspective for philosophy of religion explained by considering the following concepts/sections: (a) theories of religion, (b) 17 upper constructional philosophies and philosophy of religion, (c) eight complementary branches of philosophy of religion, (d) 14 lower constructional philosophies and philosophy of religion, (e) science of religion, (f) new theory of religion and its relations with other disciplines. Author defined New Era Theory, New Era Religion, New Era Belief, Progressive Religion and their relations with other religions, beliefs, religious/non-religious movements, and the relation with other theories of religion. Also, power authorities and functional position levels in the New Era Belief, and Religion of God, Knowledge of God/gods, Nature of God/gods concepts are explained generally/specifically. (shrink)

Whilе thе rоbust аnd pоsitivе аssоciаtiоn bеtwееn еducаtiоn аnd pоliticаl еngаgеmеnt hаs bееn widеly dоcumеntеd, thе dirеct cаusаl link is still а subjеct оf dеbаtе. This study cоntributеs tо thе оngоing dеbаtе by еxаmining whеthеr thеrе еxists а cаusаl еffеct оf еducаtiоn оn pоliticаl еngаgеmеnt. Explоiting thе plаusibly еxоgеnоus vаriаtiоn in еducаtiоn inducеd by thе cоmpulsоry schооling rеfоrms аcrоss 39 cоuntriеs, wе find thаt еducаtiоn cultivаtеs pоliticаl intеrеst, prоmоtеs thе аcquisitiоn оf pоliticаl knоwlеdgе, аnd fоstеrs suppоrtivе аttitudеs tоwаrds pоliticаl frееdоms. (...) Nеvеrthеlеss, thе bеttеr еducаtеd аrе nо mоrе likеly tо vоtе in еlеctiоns nоr аdоpt аny spеcific pоsitiоn in thе lеft-right pоliticаl spеctrum. (shrink)

This essay explores the thesis that for vague predicates, uncertainty over whether a borderline instance x of red/large/tall/good is to be understood as practical uncertainty over whether to treat x as red/large/tall/good. Expressivist and quasi-realist treatments of vague predicates due to John MacFarlane and Daniel Elstein provide the stalking-horse. It examines the notion of treating/counting a thing as F , and links a central question about our attitudes to vague predications to normative evaluation of plans to treat a thing as (...) F . The essay examines how the account applies to normatively defective or contested terms. The final section raises a puzzle about the mechanics of MacFarlane’s detailed implementation for the case of gradable adjectives. (shrink)

On a simple and neat view, sometimes called the Relational Analysis of Attitude Ascriptions, a belief ascription on the form ‘S believes that x is F’ is correct if, and only if, S stands in the belief-relation to the proposition designated by ‘that x is F’, i.e., the proposition that x is F. It follows from this view that, for a person to believe, say, that x is a boat, there is one unique proposition that she has to believe. This (...) paper argues against this view. It fails, I contend, to make sense of peripheral concept variation. As we attribute and individuate concepts, two people’s concepts C1 and C2 count as e.g., concepts of boats even if their concepts have different extensions in peripheral, or borderline, cases of boats. Thus, A and B can believe that x is a boat through believing peripherally different propositions. It follows that there is no unique proposition that a person has to believe in order to believe e.g., that x is a boat. (shrink)

According to latitudinarianism, S’s belief that x is F is about x solely in virtue of S’s believing a proposition that ascribes F- ness to x. Saul Kripke (2011b) has recently objected to this view by arguing that it entails that S believes of arbitrary objects that they are F. In this paper I revisit Ernest Sosa’s (1995a, 1995b) notion of associative aboutness to put forward a novel account of mental reference, called ‘associative exportation,’ that evades the troublesome consequence pointed (...) out by Kripke, while preserving the spirit of latitudinarianism. In particular, the proposed view: (1) does not invoke any form of acquaintance with the object of belief; (2) validates a weak reducibility thesis of de re belief to de dicto; (3) is compatible with the observation that our unreflective aboutness judgments are latitudinarian; (4) offers new insights about the notorious tallest- spy objection. (shrink)

Many believe that, if true, reason-statements of the form ‘that X is F is a reason to φ’ describe a ‘favouring-relation’ between the fact that X is F and the act of φing. This favouring-relation has been assumed to share many features of other, more concrete relations. This combination of views leads to immediate problems. Firstly, unlike statements about many other relations, reason-statements can be true even when the relata do not exist, i.e., when the relevant facts do not obtain (...) and the relevant acts are not done. Secondly, the previous combination of views also makes it very difficult to draw the distinction between agent-relative and agent-neutral reasons. I argue that we should think that the predicate ‘is a reason to’ creates non-extensional contexts in the statements in which it is used. This would both solve the previous problems and avoid the awkward consequences of the so-called slingshot argument. (shrink)

The author investigates greek ontologies that apparently rely on a conflation of "binary" (x is f) and "monadic" (x is) uses of 'is'. He uses Aristotelian and other texts to support his proposal that these ontologies are explained by the Greeks using two alternative semantic analyses for 'x is F'. The first views it as asserting a relation between x and F, the second as asserting that a "predicative complex" exists, where a predicative complex is a complex consisting of x (...) and F. The article concludes by indicating some uses for the novel concept of predicative complex in aristotelian interpretation. (shrink)

Chapin reviewed this 1972 ZEITSCHRIFT paper that proves the completeness theorem for the logic of variable-binding-term operators created by Corcoran and his student John Herring in the 1971 LOGIQUE ET ANALYSE paper in which the theorem was conjectured. This leveraging proof extends completeness of ordinary first-order logic to the extension with vbtos. Newton da Costa independently proved the same theorem about the same time using a Henkin-type proof. This 1972 paper builds on the 1971 “Notes on a Semantic Analysis of (...) Variable Binding Term Operators” (Co-author John Herring), Logique et Analyse 55, 646–57. MR0307874 (46 #6989). A variable binding term operator (vbto) is a non-logical constant, say v, which combines with a variable y and a formula F containing y free to form a term (vy:F) whose free variables are exact ly those of F, excluding y. Kalish-Montague 1964 proposed using vbtos to formalize definite descriptions “the x: x+x=2”, set abstracts {x: F}, minimization in recursive function theory “the least x: x+x>2”, etc. However, they gave no semantics for vbtos. Hatcher 1968 gave a semantics but one that has flaws described in the 1971 paper and admitted by Hatcher. In 1971 we give a correct semantic analysis of vbtos. We also give axioms for using them in deductions. And we conjecture strong completeness for the deductions with respect to the semantics. The conjecture, proved in this paper with Hatcher’s help, was proved independently about the same time by Newton da Costa. (shrink)

This paper takes up David Kaplan's suggestion that the phenomenon of cognitive dynamics can be approached via a study of what it takes for someone to change her mind. It is argued that in order for a subject to be able to change her mind about something, there must be occasions on which the following is the case: (1) First, the subject believed of an 'x' that it was f, now she believes of 'x' that it is not-f. (2) She (...) stopped believing of 'x' that it was f before she started believing of 'x' that it was not-f. (3) She knows that (1) and (2). The first part of the investigation shows why (1) - (3) are necessary within an account of what it is for someone to change her mind. The second part focuses on condition (3) and argues that it entails that the sameness or difference of thought content over time must sometimes be an epistemic given, i.e., that the subject can know that a thought she entertains now is the same as a thought she entertained earlier. (shrink)

Like Bennett's account of ‘even’, my analysis incorporates the following plausible and widespread intuitions. (a) The word ‘even’ does not make a truth-functional difference; it makes a difference only in conventional implicature. In particular, ‘even’ functions neither as a universal quantifier, nor a most or many quantifier. The only quantified statement that ‘Even A is F’ implies is the existential claim ‘There is an x (namely, A) that is F’, but this implication is nothing more than what the Equivalence Thesis (...) already demands. (b) ‘Even’ is epistemic in character, implying some type of unexpectedness, surprise, or unlikelihood. Moreover, despite Kay's arguments to the contrary, this implication is part of the meaning of ‘even’. (c) ‘Even’ is a scalar term, since unexpectedness comes in degrees. And, finally, (d) the felicity of an ‘even’-sentence S requires that S* be sufficiently surprising in comparison to its true neighbors. However,pace Bennett, being more surprising than just one true neighbor will not suffice. At the same time, being more surprising than all true neighbors is unnecessary. Suffice it that S* is more surprising than most true neighbors. (shrink)

Dretske has provided very influential arguments that there is a difference between our sensory awareness of objects and our awareness of facts about these objects—that there is a difference, for example, between seeing x and seeing that x is F. This distinction between simple and epistemic seeing is a staple of the philosophy of perception. Memory is often usefully compared to perception, and in this spirit I argue for the conditional claim that if Dretske’s arguments succeed in motivating the posit (...) of simple seeing, then parallel arguments should equally motivate a posit I call simple remembering. Simple remembering would be a conscious form of memory about an object or event which is prior to and independent of any beliefs the subject may or may not form about the object or event simply remembered. (shrink)

En el ámbito de la lógica matemática existe un problema sobre la relación lógica entre dos versiones débiles del Axioma de elección (AE) que no se ha podido resolver desde el año 2000 (aproximadamente). Tales versiones están relacionadas con ultrafiltros no principales y con Propiedades Ramsey (Bernstein, Polarizada, Subretículo, Ramsey, Ordinales flotantes, etc). La primera versión débil del AE es la siguiente (A): “Existen ultrafiltros no principales sobre el conjunto de los números naturales (ℕ)”. Y la segunda versión débil del (...) AE es la siguiente (B): “Existen ultraflitros sobre ℕ”. Se sabe que A implica B, pero se desconoce si B implica A. Di Prisco y Henle conjeturan en los artículos ([1], [2]) que esto no ocurre, es decir, conjeturan que B no implica A, en otras palabras, conjeturan que A es más fuerte estrictamente que B, que A es independiente de B, pero esto no se ha podido demostrar todavía aunque se ha intentado hacer desde hace aproximadamente 21 años. Una descripción detallada de este problema abierto puede encontrarse en esta ponencia (dictada en el marco del Día Mundial de la Lógica 14-01-2022) y en el artículo [3]. [1] C. Di Prisco y H. Henle. “Doughnuts, Floating Ordinals, Square Brackets, and Ultraflitters”. Journal of Symbolic Logic 65 (2000) 462-473. [2] C. Di Prisco y H. Henle. “Partitions of the reals and choice”. En “Models, algebras and proofs”. X. Caicedo y C.M. Montenegro. Eds. Lecture Notes in Pure and Appl. Math, 203, Marcel Dekker, 1999. [3] F. Galindo. “Tópicos de ultrafiltros”. Divulgaciones Matemáticas. Vol. 21, No 1-2, 2020. (shrink)

There has been considerable debate in the literature as to whether work in experimental philosophy actually makes any significant contribution to philosophy. One stated view is that many X-Phi projects, notwithstanding their focus on topics relevant to philosophy, contribute little to philosophical thought. Instead, it has been claimed the contribution they make appears to be to cognitive science. In contrast to this view, here we argue that at least one approach to X-Phi makes a contribution which parallels, and also extends, (...) historically salient forms of philosophical analysis, especially contributions from Immanuel Kant, William James, Peter F. Strawson and Thomas Nagel. The framework elaborated here synthesizes philosophical theory with empirical evidence from psychology and neuroscience and applies it to three perennial philosophical problems. According to this account, the origin of these three problems can be illuminated by viewing them as arising from a tension between two distinct types of cognition, each of which is associated with anatomically independent and functionally inhibitory neural networks. If the parallel we draw, between an empirical project and historically highly influential examples of philosophical analysis, is viewed as convincing, it follows that work in the cognitive sciences can contribute directly to philosophy. Further, this conclusion holds whether the empirical details of the account are correct or not. (shrink)