This paper discusses the history of the confusion and controversies over whether the definition of consequence presented in the 11-page 1936 Tarski consequence-definition paper is based on a monistic fixed-universe framework?like Begriffsschrift and Principia Mathematica. Monistic fixed-universe frameworks, common in pre-WWII logic, keep the range of the individual variables fixed as the class of all individuals. The contrary alternative is that the definition is predicated on a pluralistic multiple-universe framework?like the 1931 Gödel incompleteness paper. A pluralistic multiple-universe framework recognizes multiple (...) universes of discourse serving as different ranges of the individual variables in different interpretations?as in post-WWII model theory. In the early 1960s, many logicians?mistakenly, as we show?held the ?contrary alternative? that Tarski 1936 had already adopted a Gödel-type, pluralistic, multiple-universe framework. We explain that Tarski had not yet shifted out of the monistic, Frege?Russell, fixed-universe paradigm. We further argue that between his Principia-influenced pre-WWII Warsaw period and his model-theoretic post-WWII Berkeley period, Tarski's philosophy underwent many other radical changes. (shrink)

ABSTRACT: In its strongest unqualified form, the principle of wholistic reference is that in any given discourse, each proposition refers to the whole universe of that discourse, regardless of how limited the referents of its non-logical or content terms. According to this principle every proposition of number theory, even an equation such as "5 + 7 = 12", refers not only to the individual numbers that it happens to mention but to the whole universe of numbers. This principle, (...) its history, and its relevance to some of Oswaldo Chateaubriand's work are discussed in my 2004 paper "The Principle of Wholistic Reference" in Essays on Chateaubriand's "Logical Forms". In Chateaubriand's réplica (reply), which is printed with my paper, he raised several important additional issues including the three I focus on in this tréplica (reply to his reply): truth-values, universes of discourse, and formal ontology. This paper is self-contained: it is not necessary to have read the above-mentioned works. The principle of wholistic reference (PWR) was first put forth by George Boole in 1847 when he espoused a monistic fixed-universe viewpoint similar to the one Frege and Russell espoused throughout their careers. Later, Boole elaborated PWR in 1854 from the pluralistic multiple-universes perspective. (shrink)

Consider the following. The first is a one-premise argument; the second has two premises. The question sign marks the conclusions as such. -/- Matthew, Mark, Luke, and John wrote Greek. ? Every evangelist wrote Greek. -/- Matthew, Mark, Luke, and John wrote Greek. Every evangelist is Matthew, Mark, Luke, or John. ? Every evangelist wrote Greek. -/- The above pair of premise-conclusion arguments is of a sort familiar to logicians and philosophers of science. In each case the first premise is (...) logically equivalent to the set of four atomic propositions: “Matthew wrote Greek”, “Mark wrote Greek”, “Luke wrote Greek”, and “John wrote Greek”. The universe of discourse is the set of evangelists. We presuppose standard first-order logic. -/- As many logic texts teach, the first of these two premise-conclusion arguments—sometimes called a complete enumerative induction— is invalid in the sense that its conclusion does not follow from its premises. To get a counterargument, replace ‘Matthew’, ‘Mark’, ‘Luke’, and ‘John’ by ‘two’,’four’, ‘six’ and ‘eight’; replace ‘wrote Greek’ by ‘are even’; and replace ‘evangelist’ by ‘number’. This replacement converts the first argument into one having true premises and false conclusion. -/- But the same replacement performed on the second argument does no such thing: it converts the second premise into the falsehood “Every number is two, four, six, or eight”. As many logic texts teach, there is no replacement that converts the second argument into one with all true premises and false conclusion. The second is valid; its conclusion is deducible from its two premises using an instructive natural deduction. -/- This paper “does the math” behind the above examples. The theorem could be stated informally: the above examples are typical. (shrink)

This thesis investigates Habermas's attempt to establish a credible form of universalism in moral and political philosophy by means of the theoretical approach which he terms "discourse ethics." The central question motivating this study is whether Habermas succeeds in this ambition. Discourse ethics specifies a procedure which purports to enable all agents involved in a conflict of interest in which issues of justice are at stake to come to a rational and cooperative resolution. It proposes a position unique (...) among contemporary approaches to justice in the strength and character of its anti-relativist stance: the plurality of human cultures and the situated character of human understanding do not, according to this theory, bar the way to arriving at a minimal form of moral universalism. Although the procedure specified in communicative ethics elucidates only a narrow range of concerns--those pertaining to justice in the strict sense--it aims to do so in a way valid across all human cultures. ;Habermas's strategy for the defence of a species-wide moral universalism is, I argue, both the key feature of his position, and the least well understood. Discussion of discourse ethics to date has focussed almost exclusively on the question of its appropriateness to the context of modern, Western pluralism. An important reason for this focus has been the intricacy of Habermas's argumentative strategy, which links the recent work on discourse ethics to his longstanding project of developing a theory of communicative action. ;The principle aim of this thesis is to clarify Habermas's position by explicating his programme of justification. In so doing, I draw attention to several problems in his approach as a mechanism for cross-cultural conflict adjudication, and endeavour to provide a more perspicuous account of the relation of Habermas's theory to its main philosophical competitors, especially Rawlsian deontology, and contextualism. (shrink)

The prospects and limitations of defining truth in a finite model in the same language whose truth one is considering are thoroughly examined. It is shown that in contradistinction to Tarski's undefinability theorem for arithmetic, it is in a definite sense possible in this case to define truth in the very language whose truth is in question.

Suppose there is a domain of discourse of English, then everything of which any predicate is true is a member of that domain. If English has a domain of discourse, then, since ‘is a domain of discourse of English’ is itself a predicate of English and true of that domain, that domain is a member of itself. But nothing is a member of itself. Thus English has no domain of discourse. We defend this argument and go (...) on to argue to the same conclusion without relying on the supposition that English is a language which contains the predicate ‘is a domain of discourse of English’. (shrink)

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often forcing constructions that add subsets to models are cited as evidence in favour of the latter. This paper informs this debate by analysing ways the Universist might interpret this discourse (...) that seems to necessitate the addition of subsets to V. We argue that despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We analyse extant interpretations of such talk, and analyse various tradeoffs in naturality that might be made. We conclude that the Universist has promising options for interpreting different forcing constructions. (shrink)

Abstract In his discourses on ‘the lily of the field and the bird of the air,’ Kierkegaard presents faith as the best possible response to our precarious and uncertain condition, and as the ideal way to cope with the insecurities and concerns that his readers will recognize as common features of human existence. Reading these discourses together, we are introduced to the portrait of a potential believer who, like the ‘divinely appointed teachers’—the lily and the bird—succeeds in leading a life (...) that is full of care, but free of worry. Such a portrait, we claim, echoes Kierkegaard’s portrait of the knight of faith in Fear and Trembling . In this essay we suggest that faith, as characterized in the ‘lily and bird’ discourses, is a kind of existential trust that would allow us to overcome worry, while remaining wholeheartedly engaged in the finite realm of our cares and concerns. We claim that Kierkegaard’s goal in these discourses is not to belittle our earthly cares, but to invite us to develop a modified attitude toward all that we are susceptible to worry about. Content Type Journal Article Category Article Pages 1-19 DOI 10.1007/s11153-011-9322-5 Authors Sharon Krishek, Department of Philosophy, The Hebrew University of Jerusalem, Jerusalem, Israel Rick Anthony Furtak, Department of Philosophy, Colorado College, Colorado Springs, CO, USA Journal International Journal for Philosophy of Religion Online ISSN 1572-8684 Print ISSN 0020-7047. (shrink)

This book offers a theoretical investigation into the general problem of reality as a multiplicity of ‘finite provinces of meaning’, as developed in the work of Alfred Schutz. A critical introduction to Schutz’s sociology of multiple realities as well as a sympathetic re-reading and reconstruction of his project, Experiencing Multiple Realities traces the genesis and implications of this concept in Schutz’s writings before presenting an analysis of various ways in which it can shed light on major sociological problems, such (...) as social action, social time, social space, identity, or narrativity. (shrink)

This work is a critical introduction to Alfred Schutz’s sociology of the multiple reality and an enterprise that seeks to reassess and reconstruct the Schutzian project. In the first part of the study, I inquire into Schutz’s biographical con- text that surrounds the germination of this conception and I analyse the main texts of Schutz where he has dealt directly with ‘finite provinces of meaning.’ On the basis of this analysis, I suggest and discuss, in Part II, several solutions (...) to the shortcomings of the theoretical system that Schutz drew upon the sociological problem of multiple reality. Specifically, I discuss problems related to the struc- ture, the dynamics, and the interrelationing of finite provinces of meaning as well as the way they relate to the questions of narrativity, experience, space, time, and identity. (shrink)

The Soul is considered, both for religions and philosophy, to be the immaterial aspect or essence of a human being, conferring individuality and humanity, often considered to be synonymous with the mind or the self. For most theologies, the Soul is further defined as that part of the individual, which partakes of divinity and transcends the body in different explanations. But, regardless of the philosophical background in which a specific theology gives the transcendence of the soul as the source of (...) its everlasting essence – often considered to survive the death of the body –, it is always appraised as a higher existence for which all should fight for. In this regard, all religious beliefs assert that there are many unseen battles aiming to take hold of the human soul, either between divinity and evil, or between worlds, or even between the body and the soul itself. These unseen battles over the human soul raging in the whole world made it the central item of the entire universe, both for the visible and the unseen worlds, an item of which whoever takes possession will also become the ruler of the universe. Through this philosophy, the value of the soul became abysmal, incommensurable, and without resemblance. The point for making such a broad overview of the soul in religious beliefs is the question of whether we can build an interfaith discourse based on the religions’ most debated and valuable issue, soul? Regardless of the variety of religious beliefs on what seems to be the soul, there is always a residual consideration in them that makes the soul more important than the body. This universal impression is due to another belief or instead need of believing that above and beyond this seen, palpable, finite life and the world should exist another one, infinite, transcendent, and available all the same after here. This variety stretches from the minimum impact that soul has on the body, as being the superior essence that inhabitants and enlivens the matter, to the highest impact in which soul has nothing to do with matter[1] and is only ephemeral linked to it, but its existence is not at all limited, defined or depended on the matter [2], or even placed to the extreme, as the very life of the matter thus this seen universe is merely a thought in the soul/mind [3]. In this extensive variety of soul overviews, the emphasis of the soul’s importance gives an inverse significance to the body/matter, from being everything that matters to a thin, dwindle item that has no existence at all outside consciousness. (shrink)

A central area of current philosophical debate in the foundations of mathematics concerns whether or not there is a single, maximal, universe of set theory. Universists maintain that there is such a universe, while Multiversists argue that there are many universes, no one of which is ontologically privileged. Often model-theoretic constructions that add sets to models are cited as evidence in favour of the latter. This paper informs this debate by developing a way for a Universist to interpret talk (...) that seems to necessitate the addition of sets to V. We argue that, despite the prima facie incoherence of such talk for the Universist, she nonetheless has reason to try and provide interpretation of this discourse. We present a method of interpreting extension-talk (V-logic), and show how it captures satisfaction in `ideal' outer models and relates to impredicative class theories. We provide some reasons to regard the technique as philosophically virtuous, and argue that it opens new doors to philosophical and mathematical discussions for the Universist. (shrink)

Transnational, global trades, investments, and travels, amongst other drivers of globalization, helps to reverberate the deadly coronavirus pandemic from Wuhan, China, across the world like whirl fire. In order to contain the infectious spread of the pandemic, and mitigate its negative effects on macro-economic variables, the World Health Organization, (WHO) designed Covid-19 protocols that are being enforced by governments and people of the world. Based on the above account, the study examined the Second wave effect of Covid’19 pandemic on transportation (...) business: Keke-napep and Motorcycle transport systems in Asaba metropolis, Nigeria. The main objective is to empirically determine the real impact of the pandemic on rural land transport business. The study employed structured questionnaire and interview methods to generate data from the 250 respondents selected using the census sampling technique. Out of the 250 sets of questionnaires administered, 235 (94%) were retrieved while 15 (6%) were rejected. The statistical tools used for analyzing data were correlation and multiple regression techniques. Findings were that covid’19 pandemic negatively affected rural land transport business. The study concludes that, the coronavirus pandemic caused a contraction in transport business. It is therefore recommended that, there is a need for government to relax the stringent covid’19 protocols to allow economic activities to resume again. Campaigns on safety and hygiene should be intensified so that the populace will imbibe the culture of general cleanliness and personal hygiene, amongst others. (shrink)

EXPANDED EDITION (eBook): -/- Infinity Is Not What It Seems...Infinity is commonly assumed to be a logical concept, reliable for conducting mathematics, describing the Universe, and understanding the divine. Most of us are educated to take for granted that there exist infinite sets of numbers, that lines contain an infinite number of points, that space is infinite in expanse, that time has an infinite succession of events, that possibilities are infinite in quantity, and over half of the world’s population believes (...) in a divine Creator infinite in knowledge, power, and benevolence. -/- According to this treatise, such assumptions are mistaken. In reality, to be is to be finite. The implications of this assessment are profound: the Universe and even God must necessarily be finite. -/- The author makes a compelling case against infinity, refuting its most prominent advocates. Any defense of the infinite will find it challenging to answer the arguments laid out in this book. But regardless of the reader’s position, FOREVER FINITE offers plenty of thought-provoking material for anyone interested in the subject of infinity from the perspectives of philosophy, mathematics, science, and theology. -/- This electronic edition of FOREVER FINITE is offered free online for all and is expanded with content that does not appear in the published edition due to print production page limitations. From the Introduction to the Conclusion, Chapters 1–27 are identical to the published print edition, including the page numbering for the chapters. This electronic edition adds an appendix and associated content—specifically, updates to the book’s back matter (68 new endnotes, 17 new bibliographic references, 3 new figure credits, 14 new glossary terms) and front matter (an updated table of contents and this preface note). (shrink)

Many philosophers have argued that the past must be finite in duration because otherwise reaching the present moment would have involved something impossible, namely, the sequential occurrence of an actual infinity of events. In reply, some philosophers have objected that there can be nothing amiss in such an occurrence, since actually infinite sequences are ‘traversed’ all the time in nature, for example, whenever an object moves from one location in space to another. This essay focuses on one of the (...) two available replies to this objection, namely, the claim that actual infinities are not traversed in nature because space, time, and other continuous wholes divide into parts only in so far as we divide them in thought, and thus divide into only a finite number of parts. I grant that this reply succeeds in blunting the anti-finitist objection, but I argue that it also subverts the very argument against an eternal past that it was intended to save. (shrink)

Human beings as self-conscious, aesthetic, sympathetic, and empathetic beings develop various ways to live in this world. They continue to aspire for a better version of themselves and their lives. In this process, they developed certain ethical norms, social practices, and ways to perceive and understand this world. These qualities become the basis for proactive steps of spirituality which in turn become the foundation of religion. In human history, religion has helped individuals to fulfill various human needs irrespective of their (...) culture. Despite differences in the content of various religious philosophies, mythological structures, and religious ceremonies, it gave a sense of meaning and purpose to human beings. Because of its omnipresence, many philosophers along with biological and cultural evolutionary researchers have suggested coming up with a universal explanation for religion. -/- Nevertheless, religion was also employed as a means of exploitation by the powerful elites in various societies. Thus, many times, it worked as an orthodox, deceptive, and enslaving force for humanity. Modern thought emphasized the later effects of religion and found it less emancipatory. -/- Hence, enlightenment philosophy focused on rationality as a significant aspect of human beings. Besides, the development of science has unfolded various hidden and hitherto mysterious natural phenomena to mankind. This change has brought rationality to the forefront of human existence every institution began to build around this notion of human being. Even the death of God was announced by Nietzsche with grief in 1885. -/- Was it really the death of God? Can human beings live without religion sanely? These questions become very relevant particularly in recent times when we see resurgence of religious identities in the political and social discourses. However, consumer mythology and consumer culture remain at the forefront while making decisions in our daily lives across cultures. Even sometimes, religious identities are absorbed by powerful market forces; how to understand this contradictory phenomenon? -/- Between both these understandings, this paper sets three objectives for itself – first, to analyze the human need for religion from a psychological and existential perspective. Second, it critically evaluates the secular thesis as put forward by European enlightenment thinkers in the light of contemporary consumerist mythology. The third objective involves a brief description of universal religion and its relevance at this time. (shrink)

It is pointed out that the different concepts of the Universe serve as an ultimate basis determining the frames of consciousness. A unified concept of the Universe is explored which includes consciousness and matter as well to the universe of existents. Some consequences of the unified concept of the Universe are derived and shown to be able to solve the paradox of the self-founding notion of the Universe. The self-contained Universe is indicated to possess a logical nature. It is shown (...) that a passage exists between consciousness and the material world and its nature is exemplified. Moreover, arguments are presented showing the simultaneous emotional nature of the Universe. A solution to the paradox of semi-finite spacetime existents, possessing finite and infinite substances simultaneously, namely eternal existents like moral values and logical validity, is obtained. (shrink)

In its strongest, unqualified form the principle of wholistic reference is that each and every proposition refers to the whole universe of discourse as such, regardless how limited the referents of its non-logical or content terms. Even though Boole changed from a monistic fixed-universe framework in his earlier works of 1847 and 1848 to a pluralistic multiple-universe framework in his mature treatise of 1854, he never wavered in his frank avowal of the principle of wholistic reference, possibly in a (...) slightly weaker form. Indeed, he took it as an essential accompaniment to his theory of concept formation and proposition formation. Similar views are found in later logicians, and some of the most recent formulations of standard, one-sorted first-order logic seem to be in accord with a form of it, if they do not actually imply the principle itself. (shrink)

Scientific journal presented by Bogdan Khmelnitsky Melitopol State Pedagogical University, Ukraine, Melitopol. Main points: 1. Actual Problems of Modern Philosophy 2. Researches in Philosophy connected with natural components, sociological aspects and self - identity development.

Herder is known to have disliked systems that impose universal laws on humans, also for his defense of nationalism and his concern for the cultural ethos of nations. Above all, he is known to believe that the development of any nation is within. However, Hegel avers that freedom that leads to development is recognized and practiced in modem Europe; therefore, the world’s other primitive people can acquire freedom only if Europeans impose their civilization upon them. Through this imposition denies freedom (...) to colonized peoples, this denial is justifiable for Hegel because it is the sole condition on which these peoples can gain freedom and development in the longer term. The essence of this article is to explore the implications of Herder and Hegel's Philosophy of History with respect to the development of Africa. This paper flaws Hegel's assumptions using proven facts from colonialism as well as western imposing globalism in which African countries are faced with. This paper also praised Herder's attempt for understanding the uniqueness of every culture which in turn could lead to their development. With the philosophical tools of exposition, critical analysis and prescription this work is been carried out. (shrink)

It has been known for long time that the cosmic sound wave was there since the early epoch of the Universe. Signatures of its existence are abound. However, such a sound wave model of cosmology is rarely developed fully into a complete framework. This paper can be considered as our second attempt towards such a complete description of the Universe based on soliton wave solution of cosmological KdV equation. Then we advance further this KdV equation by virtue of Cellular Automaton (...) method to solve the PDEs. We submit wholeheartedly Robert Kurucz’s hypothesis that Big Bang should be replaced with a finite cellular automaton universe with no expansion. Nonetheless, we are fully aware that our model is far from being complete, but it appears the proposed cellular automaton model of the Universe is very close in spirit to what Konrad Zuse envisaged long time ago. It is our hope that the new proposed method can be verified with observation data. But we admit that our model is still in its infancy, more researches are needed to fill all the missing details. (shrink)

This chapter explores the relationship between ‘hardcore’ horror films, and the discursive context in which mainstream horror releases are being dubbed ‘extreme’. This chapter compares ‘mainstream’ and ‘hardcore’ horror with the aim of investigating what ‘extremity’ means. I will begin by outlining what ‘hardcore’ horror is, and how it differs from mainstream horror (both in terms of content and distribution). I will then dissect what ‘extremity’ means in this context, delineating problems with established critical discourses about ‘extreme’ horror. Print press (...) reviewers focus on theatrically released horror films, ignoring microbudget direct-to-video horror. As such, their adjudications about ‘extremity’ in horror begin from a limited base that misrepresents the genre. Moreover, ‘extremity’ is not a universally shared value, yet it is predominantly presented as if referring to an objective, universally agreed-upon standard. Such judgements change over time. Moreover, in contrast to marketers’ uses of ‘extreme’, press critics predominantly use the term as a pejorative. Although academics have sought to defend and contextualise particular maligned films and directors, scholars have focused on a handful of infamous examples. As I will explain, academic publishers implicitly support that narrow focus. As such, the cumulative body of scholarly work on ‘extreme’ horror inadvertently replicates print press critics’ mischaracterisation of the genre. These discursive factors limit our collective understandings of ‘horror’, its ostensible ‘extremity’. and of ‘extremity’ qua concept. Given that the discourse of ‘extremity’ is so commonly employed when censuring representations that challenge established genre conventions, it is imperative that horror studies academics attend to peripheral hardcore horror texts, and seek to develop more robust conceptual understandings of extremity. (shrink)

This paper provides epistemological support for one of Hume’s numerous critiques of the teleological arguments for God’s existence. Hume explores the following question: can we explain the observed harmony of the universe without appealing to the work of an intelligent creator? The answer, presented through the character of Philo, appears to be positive. I will try to defend this position. Following Hume’s theory of space, and exploring the relation between ideas of the whole and relation, I will show the universe (...) can be seen as finite space with definite numbers of parts which are spatially and causally interconnected. Because all changes occur on the basis of Hume’s principle of causation, we can say the harmony of the universe is established and maintained precisely because of the changes happening on the basis of causation. If this is the case, the role of the intelligent creator appears to be redundant. (shrink)

In contrast to other ancient philosophers, Epicurus and his followers famously maintained the infinity of matter, and consequently of worlds. This was inferred from the infinity of space, because they believed that a limited amount of matter would inevitably be scattered through infinite space, and hence be unable to meet and form stable compounds. By contrast, the Stoics claimed that there was only a finite amount of matter in infinite space, which stayed together because of a general centripetal tendency. (...) The Roman Epicurean poet Lucretius tried to defend the Epicurean conception of infinity against this Stoic alternative view, but not very convincingly. One might suspect, therefore, that the Epicureans’ adherence to the infinity of matter was not so much dictated by physical arguments as it was motivated by other, mostly theological and ethical, concerns. More specifically, the infinity of atoms and worlds was used as a premise in several arguments against divine intervention in the universe. The infinity of worlds was claimed to rule out divine intervention directly, while the infinity of atoms lent plausibility to the chance formation of worlds. Moreover, the infinity of atoms and worlds was used to ensure the truth of multiple explanations, which was presented by Epicurus as the only way to ward off divine intervention in the realm of celestial phenomena. However, it will be argued that in all of these arguments the infinity of matter is either unnecessary or insufficient for reaching the desired conclusion. (shrink)

This article aims to introduce various ways of reading Nietzsche as social & political philosophy that has not received attention in the South Korean research group. In South Korea, researchers tend to rely on German-tradition philosophies to overcome the split between the community and the individual(the universal and the individual). Yet, Nietzsche has been classified as a radical individualistic philosophy and excluded from the discourse. Or he only has been referred to indirectly through French philosophers represented by Foucault and (...) Deleuze. This was widely accepted by Nietzsche researchers that, through Nietzsche, it is hard to construct positive arguments about community and society. But since the 21st century, Anglophone researchers have started to examine established readings and shed new light on Nietzsche’s social & political aspects. This article organizes and criticizes their recent arguments. First, I will point out the main opinions of traditional individualism reading and clarify issues that will be contested by the Communitarian Nietzsche reading (Chap. 2). Next, I will introduce the Communitarian reading that emerged by pointing out problems of individualism reading focused on the issues (Chap. 3.1) and check their drawbacks (Chap. 3.2). And then, I will account for two alternative readings that accommodate Communitarian reading’s good point and get over its problems (Chap. 4&5). Finally, I will try to analyze their arguments and check fallacies in alternative readings (Chap. 6). (shrink)

Philosophia (Israel), 16(3-4), 333 - 344. YEAR: 1986 Extensive corrigenda Vol. 17, no. 3. -/- SUBJECT(S): Quine's second thoughts on quantifying in, appearing in the second, revised edition of _From a Logical Point of View_ of 1961, are shown to be incorrect. His original thoughts were correct. ABSTRACT: Additional tumult is supplied to pp. 152-154 of _From A Logical Point of View_, showing that being dated is no guarantee of being right. Among other things, it is shown that Quine's argument (...) to the conclusion that limiting the universe of discourse to intensional entities does not "relieve the original difficulty over quantifying into modal contexts" is incorrect; that the contradictory of that conclusion is in fact true; and that an even stronger conclusion is true, with 'abstract' replacing 'intensional'. (shrink)

In its strongest, unqualified form the principle of wholistic reference is that each and every proposition refers to the whole universe of discourse as such, regardless how limited the referents of its non-logical or content terms. Even though Boole changed from a monistic fixed-universe framework in his earlier works of 1847 and 1848 to a pluralistic multiple-universe framework in his mature treatise of 1854, he never wavered in his frank avowal of the principle of wholistic reference, possibly in a (...) slightly weaker form. Indeed, he took it as an essential accompaniment to his theory of concept formation and proposition formation. Similar views are found in later logicians, and some of the most recent formulations of standard, one-sorted first-order logic seem to be in accord with a form of it, if they do not actually imply the principle itself.Em sua forma mais forte e geral, o princípio da referência universalista afirma que toda proposição refere-se ao universo completo do discurso propriamente dito, independentemente de quão limitados sejam os referentes de seus termos não-lógicos ou com conteúdo. Embora Boole mudasse de um modelo monístico de universo-fixo nos seus trabalhos iniciais de 1847 e 1848 para um modelo pluralista de universo-múltiplo no seu tratado maduro de 1854, ele nunca hesitou em sua aceitação franca do princípio da referência universalista, possivelmente em uma forma ligeiramente mais fraca. De fato, ele considerou este princípio como um acompanhamento essencial para a sua teoria de formação de conceitos e de proposições. Visões semelhantes são encontradas em lógicos posteriores, e algumas das mais recentes formulações da lógica clássica de primeira ordem parecem estar de acordo com uma forma deste, se é que elas não implicam, de fato, o próprio princípio. (shrink)

We obtain that Universe space has to be Euclidean, but also, at the same time, it has to be finite, homogeneous (on global scale) and isotropic. So rays of light can be observed moving along parallel trajectories in an expanding finite hypersphere. We show this implies an accelerated expansion of the Universe. Considering the energy conservation problem, also we argue about the necessity of matter-antimatter asymmetry.

Notions such as śūnyatā, catuṣkoṭi, and Indra's net, which figure prominently in Buddhist philosophy, are difficult to readily accommodate within our ordinary thinking about everyday objects. Famous Buddhist scholar Nāgārjuna considered two levels of reality: one called conventional reality, and the other ultimate reality. Within this framework, śūnyatā refers to the claim that at the ultimate level objects are devoid of essence or "intrinsic properties", but are interdependent by virtue of their relations to other objects. Catuṣkoṭi refers to the claim (...) that four truth values, including contradiction, are admissible in reasoning. Indra's net refers to the claim that every part of a whole is reflective of the whole. Here we present category theoretic constructions that are reminiscent of these Buddhist concepts. The universal mapping property definition of mathematical objects, wherein objects of a universe of discourse are defined not in terms of their content, but in terms of their relations to all objects of the universe is reminiscent of śūnyatā. The objective logic of perception, with perception modeled as [a category of] two sequential processes (sensation followed by interpretation), and with its truth value object of four truth values, is reminiscent of the Buddhist logic of catuṣkoṭi. The category of categories, wherein every category has a subcategory of sets with zero structure within which every category can be modeled, is reminiscent of Indra's net. Our thorough elaboration of the parallels between Buddhist philosophy and category theory can facilitate better understanding of Buddhist philosophy, and bring out the broader philosophical import of category theory beyond mathematics. (shrink)

Many physicists have thought that absolute time became otiose with the introduction of Special Relativity. William Lane Craig disagrees. Craig argues that although relativity is empirically adequate within a domain of application, relativity is literally false and should be supplanted by a Neo-Lorentzian alternative that allows for absolute time. Meanwhile, Craig and co-author James Sinclair have argued that physical cosmology supports the conclusion that physical reality began to exist at a finite time in the past. However, on their view, (...) the beginning of physical reality requires the objective passage of absolute time, so that the beginning of physical reality stands or falls with Craig's Neo-Lorentzian metaphysics. Here, I raise doubts about whether, given Craig's NeoLorentzian metaphysics, physical cosmology could adequately support a beginning of physical reality within the finite past. Craig and Sinclair's conception of the beginning of the universe requires a past boundary to the universe. A past boundary to the universe cannot be directly observed and so must be inferred from the observed matter-energy distribution in conjunction with auxilary hypotheses drawn from a substantive physical theory. Craig's brand of Neo Lorentzianism has not been sufficiently well specified so as to infer either that there is a past boundary or that the boundary is located in the finite past. Consequently, Neo Lorentzianism implicitly introduces a form of skepticism that removes the ability that we might have otherwise had to infer a beginning of the universe. Furthermore, in analyzing traditional big bang models, I develop criteria that Neo-Lorentzians should deploy in thinking about the direction and duration of time in cosmological models generally. For my last task, I apply the same criteria to bounce cosmologies and show that Craig and Sinclair have been wrong to interpret bounce cosmologies as including a beginning of physical reality. (shrink)

Joan McGregor argues that “colleges and universities should adopt as part of their core mission the development of skills of civil discourse” rather than engaging in the practice of restricting controversial speakers from making presentations on campuses. I agree with McGregor concerning the need for increased civil discourse. However, this does not mean universities should welcome speakers to publicly present any material they wish without restriction or oversight. In this paper, I make three main arguments: (i) Colleges and (...) universities have a duty to protect members of the campus community from the harm and exclusion resulting from hateful or harmful speech, in the same way that they must protect them from sexual assaults and concussions. (ii) In the vast majority of cases, this duty can be fulfilled by holding speakers to standards of discourse that prevail in academic debate, and insisting on a number of procedural requirements. (iii) We should be wary of conservative arguments framed in terms of free speech, because they can be deployed to undermine important functions of the university in a democratic society, namely, to teach students how to be discerning citizens, and to protect thinkers willing to be critical of the government and the ruling classes. (shrink)

Berkeley's immaterialism has more in common with views developed by Henry More, the mathematician Joseph Raphson, John Toland, and Jonathan Edwards than those of thinkers with whom he is commonly associated (e.g., Malebranche and Locke). The key for recognizing their similarities lies in appreciating how they understand St. Paul's remark that in God "we live and move and have our being" as an invitation to think to God as the space of discourse in which minds and ideas are identified. (...) This way of speaking about God, adapted by Karl Barth and Paul Tillich, opens up new ways to think about the relation between God and finite minds. (shrink)

Some philosophers contend that the past must be finite in duration, because otherwise reaching the present would have involved the sequential occurrence of an actual infinity of events, which they regard as impossible. I recently developed a new objection to this finitist argument, to which Andrew Ter Ern Loke and Travis Dumsday have replied. Here I respond to the three main points raised in their replies.

The present paper 1departs from the discussion on the foundation of morality in Discourse Ethics (DE) and the criticism raised against it, coming to reconstruct in a somewhat different way the foundational process. A first section is dedicated to analysing the difficulties of Habermas distinction between morality and ethics and the criticism raised against it, questioning a) the possibility to set the difference in the distinction between norms and values and b) the presumed neutrality of DE regarding ethical evaluations. (...) A second section revisits the foundational proposal of DE. First of all, it provi- des an interpretation of the Kantian proposal that makes the universalization of norms subservient to the idea of human beings as ends in themselves. It then considers a) the subsistence of Kantian moral reasoning in its architectonic and b) suggests a formal structure in practical thinking that integrates in hierarchical modus Kantian, discursive and contextually determined evaluative conceptions. (shrink)

The production of sound by the machinery of change is a viral element in the problems of civilization. Conceptual historical paradox involving mind and matter as the recurring source of the problems of civilization is elaborated to expose a space reducing friction residing at the border of conceptual and empirical interpretation involving cause and effect rather than physical form. A visually based mathematical-physical form, is elaborated and discussion, based on a philosophy of motion, volume and processes that is indivisible, unmoved (...) by the willed power of the discourse, is evolved in an analogy to interpreted ancient mathematics of Euclid. (shrink)

This paper considers two problems -- one in philosophy of religion and another in philosophy of physics -- and shows that the two problems have one solution. Some Christian philosophers have endorsed the views that (i) there was a first finitely long period of time, (ii) God is in time, and yet (iii) God did not have a beginning. If there was a first finitely long period of time and God is in time then there was a first finitely long (...) period of time in God's life. But if God's life includes a first finitely long period of time, then, on one initially intuitive conception of beginning to exist, God began to exist. Thus, at first glance, (i)-(iii) are not mutually compatible. Meanwhile, on a variety of proposals for quantum gravity theories or interpretations of quantum theory, space-time is not fundamental to physical reality and instead can (somehow) be explained in terms of yet more fundamental physical substructures. As I show, there is a strong intuition that if space-time is not fundamental to physical reality, then, even if there were a first finitely long period in the life of physical reality, physical reality would be beginningless. Thus, both theistic philosophers and philosophers of physics have developed theories on which some beginningless entities have a first finitely long temporal period in their lives and so both groups should be interested in developing criteria that distinguish such entities from entities with a beginning. In this paper, I offer one necessary (but not sufficient) condition, namely, that entities that begin to exist are absent from the closest possible worlds without time. The view that I defend has one significant upshot: no sound argument can use the mere fact (if it is a fact) that past time is finite to reach the conclusion that the totality of physical reality had a beginning. (shrink)

It is pointed out that the different concepts of the Universe serve as an ultimate basis determining the frames of consciousness. A unified concept of the Universe is explored which includes consciousness and matter as well to the universe of existents. Some consequences of the unified concept of the Universe are derived and shown to be able to solve the paradox of the self-founding notion of the Universe. The self-contained Universe is indicated to possess a logical nature. It is shown (...) that a passage exists between consciousness and the material world and its nature is exemplified. Moreover, arguments are presented showing the simultaneous emotional nature of the Universe. A solution to the paradox of semi-finite spacetime existents, possessing finite and infinite substances simultaneously, namely eternal existents like moral values and logical validity, is obtained. (shrink)

The strings of physics’ string theory are the binary digits of 1 and 0 used in computers and electronics. The digits are constantly switching between their representations of the “on” and “off” states. This switching is usually referred to as a flow or current. Currents in the two 2-dimensional programs called Mobius loops are connected into a four-dimensional figure-8 Klein bottle by the infinitely-long irrational and transcendental numbers. Such an infinite connection translates - via bosons being ultimately composed of 1’s (...) and 0’s depicting pi, e, √2 etc.; and fermions being given mass by bosons interacting in matter particles’ “wave packets” – into an infinite number of 8-Kleins. Each Klein 1) is one of the universe’s subuniverses (our own is 13.7 billion years old), 2) is made flexible through its binary digits which seamlessly, or almost seamlessly, join it to surrounding subuniverses and eliminate its central hole, and 3) possesses warped time and space because its foundation is the programmed curves in its mathematical Mobius loops (along with the twists they generate [p.7]). The universe functions according to the rules of fractal geometry. So the Mobius does not exist only at the cosmic level. It also manifests at the quantum scale, giving us photons and protons etc. Space and time are no longer separate, but are an indivisible space-time. So if space and the universe are infinite, how can time not be eternal? The past and the future must both extend forever (the idea of time being finite arises from confusion of our subuniverse with the one infinite universe). -/- BITS (Binary digiTS) only suggest existence of the divine if time is linear. Although a non-supernatural God is proposed via the inverse-square law coupled with eternal quantum entanglement, Einstein taught us that time is warped. Warped time is nonlinear, making it at least possible that the BITS composing space-time and all particles originate from the computer science of humans. -/- I suspect many readers will be content with reading this abstract. While there are more details, and mathematics, in the content; my natural style of writing is to avoid jargon and maths. I also tend to get philosophical. While I personally feel that there’s a lot of precious information in the content, I realize it won’t all be to everyone’s liking. Other subjects dealt with in this article are - the “Pioneer anomaly”, refinement of gravitational physics, dark energy and dark matter, quantum phenomena like mass and electric charge and quantum spin, Kepler’s laws of planetary motion, deflection of starlight by the sun, tides, falling bodies, Earth’s orbit, ancient Greek philosophers, Newton, Kepler, Galileo, Aristotle, Parmenides, Zeno of Elea, time travel into the past as well as the future, the elimination of distances in space, humanity’s construction of this universe we live in, The Law of Conservation of Matter-Energy, and support for the science-fiction-like idea of the electronic binary digits of 1 and 0 being the building blocks of our universe. (shrink)

In the contemporary era, English language performs a crucial role in global transformation and exchange. Diversification and modification of the language has not only diminished the age-old occidental/oriental dichotomies but has caused a complete erasure of the cartographical divisions of nation-state across the world. This language through a continuous process of colonial and marketing exchanges has become the primary source of universal contact. The acceptance and impact of English varies from nation to nation. English may have been introduced as a (...) formal communicative procedure in Europe, but in the continents of Africa, Asia, America or Australia the language was introduced as a powerful colonial discourse and it is still flourishing as a neo-imperialistic discourse in several countries. This paper highlights the function of English in post-independent India, imploring the gradual transcendence of the language from mere colonialism to globalism. The language has been re-explored and rediscovered as an anti-colonial weapon to escape from the colonial shadow and establish universally distinct language identity. Most fascinating aspect about India is that English has been mimicked and molded on the basis of distinctive language communities spread across different states. Indianized version of English is not a centrally complete concept, but exists through its regional differences. Shedding its capitalist and colonialist identity, today English has emerged as a successful anti-colonial weapon in India to encounter all forms of imperialism or neo-imperialism. (shrink)

This article explores Ibn Sīnā’s cosmological views and analyzes the underlying assumptions and arguments in support of the theories to which he subscribes. These include the notions of the central and stationary position of the earth in a finite, spherical cosmos, the impossibility of the existence of many universes, and the metaphysical forces that drive, guide, and maintain the perpetual movement of cosmic bodies.

Deliberative politics should start from an adequate and differentiated image of our dialogical practices and their normative structures; the ideals that we eventually propose for deliberative politics should be tested against this background. In this article I will argue that equal respect, understood as respect a priori conferred on persons, is not and should not be counted as a constitutive normative ground of public discourse. Furthermore, requiring such respect, even if it might facilitate dialogue, could have negative effects and (...) lead to fallacious paths of thought –as seems to happen on matters of deep disagreement such as the Colorado Fundamentalist/Gay HIV issue I discuss in paragraph 6. I will put forward this argument from the standpoint of argumentation or discourse theory, drawing consequences for dialogical theories of politics. Basing my argument on a pluralistic notion of public discourse – understood as a mixed discourse of persuasion, information-seeking and negotiation – I will argue that respect is a dynamic, situational phenomenon, and that the norm of equal respect for persons is contextually contingent in political deliberation: equal respect should be considered as a potential outcome, a discursive achievement – which I understand as a second order consensus achieved dynamically on a provisional basis – rather than as an universal condition for dialogue. (shrink)

This paper inquires into how the new techniques of 14th-century physics, especially the doctrines of the maxima and minima of powers and the latitudes of forms, were applied to the issue of propagation of light. The focus is on several Prague disputed questions, originating between 1377 and 1409, dealing with whether illumination has infinite or finite reach and whether illumination’s intensity remains constant (uniformis) or is rather uniformly decreasing (uniformiter difformis). These questions are contextualised through examination of Oxford, Paris, (...) and Prague sources of the era (John Dumbleton, John Buridan, Nicole Oresme, Albert of Saxony, Henry of Langenstein, John of Holland) to construct a fresh survey of late medieval theories of light. Along the way, the discovery of a hitherto unknown Prague disputation from the 1370s is announced, and new evidence for the dating and Central European dissemination of Jacobus de Sancto Martino’s De latitudinibus formarum and Nicole Oresme’s Questiones super Geometriam is uncovered. (shrink)

Truth pluralism is the view that there is more than one truth property. The strong version of it (i.e. strong pluralism) further contends that no truth property is shared by all true propositions. In this paper, I help strong pluralism solve two pressing problems concerning mixed discourse: the problem of mixed inferences (PI) and the problem of mixed compounds (PC). According to PI, strong pluralism is incompatible with the truth- preservation notion of validity; according to PC, strong pluralists cannot (...) find any appropriate truth property for mixed compound propositions, whose atomic constituents are from different domains of discourse (e.g., <sky is blue and chocolate is tasty>). I argue that the strong pluralist is motivated to take the truth predicate in truth-involving universal statements to be deflationary to avoid the two pressing problems. Such a move entails that the truth predicate in the platitude of validity (V) for any argument, it is valid if and only if necessarily its conclusion is true when its premises are all true does not denote any substantive truth property. Instead, it is merely an expressive device to help people generalize instances of (V) to (V). Analogous stories hold for the truth predicate in the platitudes of compound (e.g., conjunction). The upshot is that, the strong pluralist can solve PI and PC by further conceding that mixed compounds are true/false in a deflationary way. (shrink)

If there truly is a proof that shows that no universal halt decider exists on the basis that certain tuples: (H, Wm, W) are undecidable, then this very same proof (implemented as a Turing machine) could be used by H to reject some of its inputs. When-so-ever the hypothetical halt decider cannot derive a formal proof from its input strings and initial state to final states corresponding the mathematical logic functions of Halts(Wm, W) or Loops(Wm, W), halting undecidability has been (...) decided. (shrink)

The abstract basis of modern computation is the formal description of a finite state machine, the Universal Turing Machine, based on manipulation of integers and logic symbols. In this contribution to the discourse on the computer-brain analogy, we discuss the extent to which analog computing, as performed by the mammalian brain, is like and unlike the digital computing of Universal Turing Machines. We begin with ordinary reality being a permanent dialog between continuous and discontinuous worlds. So it is (...) with computing, which can be analog or digital, and is often mixed. The theory behind computers is essentially digital, but efficient simulations of phenomena can be performed by analog devices; indeed, any physical calculation requires implementation in the physical world and is therefore analog to some extent, despite being based on abstract logic and arithmetic. The mammalian brain, comprised of neuronal networks, functions as an analog device and has given rise to artificial neural networks that are implemented as digital algorithms but function as analog models would. Analog constructs compute with the implementation of a variety of feedback and feedforward loops. In contrast, digital algorithms allow the implementation of recursive processes that enable them to generate unparalleled emergent properties. We briefly illustrate how the cortical organization of neurons can integrate signals and make predictions analogically. While we conclude that brains are not digital computers, we speculate on the recent implementation of human writing in the brain as a possible digital path that slowly evolves the brain into a genuine (slow) Turing machine. (shrink)

Religious traditions can be sources of values and attitudes supporting the liberal polity in ways that political theorizing and conceptions of public reason often fail to recognize. moreover, religious traditions can give support through the ways reason is crucial to their self-understanding. one understanding of Judaism is examined as an example. Also, the particularism of traditions can encourage commitment to universally valid values and ideals. reason’s role in Judaism and other religious traditions makes possible constructive interaction between those traditions and (...) between religious and secular thought. exclusion of religiously grounded considerations from the discourse and deliberations of liberal polities can be counterproductively illiberal. (shrink)

Popper's well-known demarcation criterion has often been understood to distinguish statements of empirical science according to their logical form. Implicit in this interpretation of Popper's philosophy is the belief that when the universe of discourse of the empirical scientist is infinite, empirical universal sentences are falsifiable but not verifiable, whereas the converse holds for existential sentences. A remarkable elaboration of this belief is to be found in Watkins's early work on the statements he calls “all-and-some,” such as: “For every (...) metal there is a melting point.” All-and-some statements are both universally and existentially quantified in that order. Watkins argued that AS should be regarded as both nonfalsifiable and nonverifiable, for they partake in the logical fate of both universal and existential statements. This claim is subject to the proviso that the bound variables are “uncircumscribed” ; i.e., that the universe of discourse is infinite. (shrink)

This article presents a discursive critique of the Eurocentric paradigms of knowledge production that characterise much of the underlying logics in the age of neoliberal discourses on resilience, pointing out important areas not given sufficient attention. In particular, it highlights the limits of the modernist ontology of resilience, whereby extremely “vulnerable” African communities are encouraged “to become resilient” to climatic disruption and environmental catastrophe and to “bounce back” as rapidly as possible. The article moves the discussion forward, drawing from critical (...) decolonial approaches, in alignment with Indigenous knowledges, to question and rethink meaningful alternative ontologies, ways of knowing and being, in adaptive governance. I argue that the recognition of the plurality of many worlds, rather than one world, highlighted through critical decolonial understandings of epistemic forms with Indigenous knowledges, can be counterposed to Western universality as an innovative ontology to decentre the world order in the problematic dominant development of resilience thinking. Keywords: resilience; decolonisation; Africa; epistemology; pluriverse; Indigeneity. (shrink)