By justification we understand what makes a belief epistemologically viable: generally this is considered knowledge that is true. The problem is defining this with a higher degree of precision because this is where different conflicting conceptions appear. On the one hand, we can understand justification as what makes it reasonable to acquire or maintain a belief; on the other, it is what increases the probability that the belief is true. This work tries to prove that beliefs depend on other beliefs (...) that are epistemically justified and that such beliefs are the result of (i.e., they arise from) our privileged intuition of reality. For this, we examine the concept of epistemic regress. Epistemic reasons authorize a proposition P to be the conclusion of an argument in which such reasons function as premises and are vulnerable to epistemic regress. The three most important approaches to epistemic regress are Infinitism, Coherentism and Foundationalism. (shrink)

In beliefs we live, we move and we are [...] the beliefs constitute the base of our life, the land on which we live [...] All our conduct, including the intellectual life, depends on the system of our authentic beliefs. In them [...] lies latent, as implications of whatever specifically we do or we think [...] the man, at heart, is believing or, which is equal, the deepest stratum of our life, the spirit that maintains and carries all the others, (...) is formed by beliefs...We know that the human being is a social animal. This is a common fact. Moreover, the human being is defined as a rational being. It is clear and nobody can deny that human creations include logic, mathematics, philosophy, science, and jurisprudence. These are all products of rationality or abstract thought. Nevertheless, human sociability goes further that the sociability of an animal herd. Societies were founded, cohere, develop, degenerate and die based on their belief systems. Reason cannot prove the .. (shrink)

In this paper, the authors attempt to prove there is a relationship between Borges’ “Argumentum ornithologicum” and Anselm’s argument “Argumentum ontologicum”. We suggest Borges, using the image of a flock of birds, with oriental reminiscences, half joking, half serious attempts to prove the existence of God. We demonstrate the fallacies incurred by Borges and why his “Argumentum” has no place within the traditional set of ontological arguments. However, it would easy to forget that Borges’ claim is not philosophical, nor theological, (...) nor apologetic, but rather ironic or paradoxical. (shrink)

In Ontology, quality determines beings. The quality-quantity bipolarity reveals that a conceptual logical comprehension that can include negation must be a dialectical logic. Quality is a precise characteristic of something capable of augmentation or diminution while remaining identical through differences or quantitative changes. Thus, quality and in opposition quantity are inextricably linked, giving definition to each other, so constituting a logical bipolarity. The theory is that a magnitude G is never separated from secondary qualities α and β, and therefore, a (...) measure depends on a concrete quality Gα or Gβ, that is to say on one pole of a logical bi-pole. However, the particular number, the unit, that expresses the result of a measure is the quality G alone. Examples drawn from physical and chemical experiments illustrate these ideas and elaborate the structure of the concept of opposition between the secondary qualities α and β of a magnitude G. (shrink)

In this paper the authors develop a logic of concepts within a mathematical linguistic theory. In the set of concepts defined in a belief system, the order relationship and Boolean algebra of the concepts are considered. This study is designed to obtain a tool, which is the metatheoretical base of this type of theory.

This reply to Gash’s (Found Sci 2014) commentary on Nescolarde-Selva and Usó-Doménech (Found Sci 2014b) answers the questions raised and at the same time opens up new questions.

If the words in Spinoza’s Ethics are considered as symbols, then certain words in the definitions of the Ethics can be replaced with symbols from set theory and we can reexamine Spinoza’s first definitions within a logical–mathematical frame. The authors believe that, some aspects of Spinoza’s work can be explained and illustrated through mathematics. A semantic relation between the definitions of the philosopher and set theory is presented. It is explained each chosen symbol. The ontological argument is developed through modal (...) logic. And finally, we present some conclusions drawn from this work. (shrink)

In this paper, the authors try to clarify the relations between Meinong’s and Russell's thoughts on the ontological ideas of existence. The Meinongian theory on non-existent objects does not in itself violate the principle of non-contradiction, since the problem that this hypothesis offers to the theory of definite descriptions is not so much a logical problem as an ontological problem. To demonstrate this we will establish what we believe are the two main theses basic to the theory of descriptions: the (...) epistemological thesis and logical thesis. (shrink)

Suppes proposes an analysis of the structure and identity of empirical theories with his model-theoretical approach and undertakes effective reconstructions of theories in diverse disciplinary fields. Here the authors analyse the results of these examinations under the optics of questions concerning the assumed ontological commitments, and for how they satisfy economic and other criteria.

Impure systems contain Objects and Subjects: Subjects are human beings. We can distinguish a person as an observer (subjectively outside the system) and that by definition is the Subject himself, and part of the system. In this case he acquires the category of object. Objects (relative beings) are significances, which are the consequence of perceptual beliefs on the part of the Subject about material or energetic objects (absolute beings) with certain characteristics.The IS (Impure System) approach is as follows: Objects are (...) perceptual significances (relative beings) of material or energetic objects (absolute beings). The set of these objects will form an impure set of the first order. The existing relations between these relative objects will be of two classes: transactions of matter and/or energy and inferential relations. Transactions can have alethic modality: necessity, possibility, impossibility and contingency. Ontic existence of possibility entails that inferential relations have Deontic modality: obligation, permission, prohibition, faculty and analogy. We distinguished between theorems (natural laws) and norms (ethical, legislative and customary rules of conduct). (shrink)

Reality contains information that becomes significances in the mind of the observer. Language is the human instrument to understand reality. But is it possible to attain this reality? Is there an absolute reality, as certain philosophical schools tell us? The reality that we perceive, is it just a fragmented reality of which we are part? The work that the authors present is an attempt to address this question from an epistemological, linguistic and logical-mathematical point of view.

This reply to Gash’s (Found Sci 2013) commentary on Nescolarde-Selva and Usó-Doménech (Found Sci 2013) answers the three questions raised and at the same time opens up new questions.

In this paper the authors provide an epistemological view on the old controversial random-necessity. It has been considered that either one or the other form part of the structure of reality. Chance and indeterminism are nothing but a disorderly efficiency of contingency in the production of events, phenomena, processes, i.e., in its causality, in the broadest sense of the word. Such production may be observed in natural and artificial processes or in human social processes (in history, economics, society, politics, etc.). (...) Here we touch the object par excellence of all scientific research whether natural or human. In this work, is presented a hypothesis whose practical result satisfies the Hegelian dialectic, with the consequent implication of their mutual reciprocal integration_._ Producing abstractions, without which, there is no thought or knowledge of any kind, from the concrete, that is, the real problem, which in this case is a given Ontological System or Reality. (shrink)

The concept of God is studied using the ontological argument of Anselm of Canterbury that proves God’s existence using a syllogism based on ontology. Unlike metaphysical arguments that demonstrate the existence of God through the study of being and its attributes, the ontological argument aims to reach this same goal based on a concept of God by means of the idea of an entity “greater than anything that can be conceived”. Descartes’ influence highlighted some of the philosophical difficulties with the (...) inherent dualism implicit in ontology. Logic does not say whether ideas are true or false, as Logic is concerned with right or wrong inference. We take a non-dualist approach in contrast to some of the approaches reviewed. To investigate belief and faith, a modal logical formalization is used, especially modal logic S5, which we find appropriate for presenting arguments. While mathematics and logic can convince, they do not help one to believe in God. This can make us think that reason is not enough to accept God, one must have faith to have access to Him. The relation between reason and faith needs clarification, and the ontological argument requires an unsustainable dualism. (shrink)

In order to establish patterns of materialization of the beliefs we are going to consider that these have defined mathematical structures. It will allow us to understand better processes of the textual, architectonic, normative, educative, etc., materialization of an ideology. The materialization is the conversion by means of certain mathematical correspondences, of an abstract set whose elements are beliefs or ideas, in an impure set whose elements are material or energetic. Text is a materialization of ideology and it is any (...) representation of the Reality represented by symbolic means. In all text T we can observe diverse topological structures: Metric Textual Space, Textual Topology and a Textual Lattice. (shrink)

Human language has the characteristic of being open and in some cases polysemic. The word “infinite” is used often in common speech and more frequently in literary language, but rarely with its precise meaning. In this way the concepts can be used in a vague way but an argument can still be structured so that the central idea is understood and is shared with to the partners. At the same time no precise definition is given to the concepts used and (...) each partner makes his own reading of the text based on previous experience and cultural background. In a language dictionary the first meaning of “infinite” agrees with the etymology: what has no end. We apply the word infinite most often and incorrectly as a synonym for “very large” or something that we do not perceive its completion. In this context, the infinite mentioned in dictionaries refers to the idea or notion of the “immeasurably large” although this is open to what the individual’s means by “immeasurably great.” Based on this linguistic imprecision, the authors present a non Cantorian theory of the potential and actual infinite. For this we have introduced a new concept: the homogon that is the whole set that does not fall within the definition of sets established by Cantor. (shrink)

Palabras claves. Métodos estadísticos, pruebas de hipótesisResumen. Se presentan de forma simple, breve y por medios de los ejemplos prácticos, los métodos estadísticos que sirven para demostrar la representatividad de una, dos o varias muestras basada en los parámetros poblacionales . Se indican la manera de reducir el tamaño del error experimental para aclarar el efecto significativo de los grupos o muestras bajo el interés . Además, se demuestran la forma de eliminar el efecto de las variables auxiliares o colaterales (...) causante del ruido o error en la estadística . También se nota el uso del modelo ANOVA Anidada para indicar la forma de segmentar la ANOVA en varias partes y de esta manera poder contestar preguntas más complejas. Finalmente, se describen e explican la forma de optimizar los recursos en la conducción de los experimentos y descubrir el efecto de la interacción entre las variables .Keywords. Hypothesis testing, statistical methods. Statistical methods that serve to represent, based upon population parameters of mean and variance, for one, tow or various samples taken from study populations are discussed. Ways to reduce the amount of experimental error in order to clarify the real effect of the treatments are demonstrated . The use of Covariance Analysis to show the pure effect of treatment free from the effect of collateral variables is also indicated. Nested ANOVA that allows division of ANOVA in several parts in order to answer complex questions is described and explained. Finally, the utility of Factorial Analysis for optimization of resource use as well as the illustration of interaction effects are noted and analyzed. (shrink)

Atualmente, biotecnologias são empregadas na forma de protocolos a fim de sincronizar o crescimento folicular e a ovulação, bem como permitir que vacas atuem como receptoras de embriões visando melhorar o potencial genético do rebanho. O objetivo desse estudo foi avaliar o efeito da utilização de implantes intravaginais de progesterona de 1º, 2º e 3º uso no protocolo de transferência de embriões em tempo fixo (TETF) sobre a taxa de prenhez em receptoras girolandas. O experimento ocorreu em uma fazenda localizada (...) no município de São Sebastião do Maranhão (MG). Foram utilizadas 74 vacas submetidas aos seguintes protocolos: No dia 0 (D0) administrou-se 2 ml de 17β-Estradiol e progesterona e foi colocado o implante intravaginal de progesterona. Estes implantes foram colocados de forma aleatória, sendo de 1° uso (grupo 1; n=15), 2° (grupo 2; n=24) ou 3° (grupo 3; n=35).No D8, os implantes foram retirados e administrou-se 2 ml PGF2α; 1,5 ml de eCG e 1 ml de 17β-Estradiol e progesterona. A inovulação dos embriões in vitroo correu no D (16) para todas as vacas que apresentaram um corpo lúteo. As variáveis qualitativas (prenhe ou não prenhe) foram comparadas em tabelas de contingência e analisadas pelo teste de qui-quadrado a 5% de probabilidade. Neste estudo não houve diferença estatística entre os grupos protocolados em relação ao aproveitamento como receptoras: 1º uso (53,3%), 2º (79,2%) e 3º (68,65). Ademais, observou-se uma taxa de prenhez entre os grupos de 37,5% para o 1º uso, 42,1% para o 2º e 33,3% para o 3º (P>0,05). Dentre as vantagens ao reaproveitamento dos implantes multiusos destaca-se a redução dos custos dos protocolos hormonais, já que a progesterona é o hormônio mais oneroso, desta forma, a maximização do uso reduz o valor final do protocolo sem prejuízos a taxa de prenhez. (shrink)

At the end of the Sixth Book of the Republic Plato explains the Idea of Good by means of the Figure of the Sun. As the sun is the cause both of the becoming of that which is subject to becoming and of our apprehension of it and of its changes through the eye, so the idea of good is the cause of the being of that which is and also of our knowledge of it. As the sun is beyond (...) γxs22EFνεσις, so the Idea of Good is beyond Being. Glaucon says he does not understand. The simile is further elucidated by means of a line, divided into two parts, of which one stands for the νιητxs22EFν γxs22EFνος τε καxs22EF τxs22EFπος, where the Idea of Good bears rule, the other for the xs22EFρατxs22EFν γxs22EFνος τε καxs22EF τxs22EFπος, over which the sun is lord. The line is to be divided unequally , and subdivided in the same proportions. Thus we get a line consisting of four parts in the ratio 4 : 6 : : 6 : 9. Let us call the four parts A B C D respectively, A being the smallest, D the greatest, B and C necessarily equal. A stands for εxs1F31κxs22EFνες, shadows, images in water and on polished surfaces, and the like: B stands for animals, plants, and the creations of human industry: C for the objects of that enquiry in which the objects denoted by B are treated as images, i.e. mathematical enquiries: D for the objects apprehended by dialectic, the Ideas themselves. The first equation asserted is—The objects of opinion : objects of knowledge : : representation : original . There follows an explanation of the inferiority of mathematical to philosophical reasoning, and an explanation of the statement that the objects denoted by B are used as images or symbols by the enquiry concerned with C; as a result of which Glaucon perceives that the general distinction between C and D is that between the τxs22EFχναι , i.e. those sciences in which the Guardians were to be educated, and Philosophy or Dialectic. Finally a special πxs22EFθημα or affection of the soul is allotted to each of the four divisions of the line, to A εxs1F31κασxs22EFα, to B πxs22EFστις, to C διxs22EFνοια, to D νxs22EFησις, each πxs22EFθημα being clear in the same degree in which the objects it is concerned with are true. (shrink)

Historians of seventeenth-century science have frequently asserted that Kepler's laws of planetary motion were largely ignored between the time of their first publication and the publication of Newton's Principia . In fact, however, they were more widely known and accepted than has been generally recognized.Kepler's ideas were, indeed, rather slow in establishing themselves, and until about 1630 there are few references to them in the literature of the time. But from then onwards, interest in them increased fairly rapidly. In particular, (...) the principle of elliptical orbits had been accepted by most of the leading astronomers in France before 1645 and in England by about 1655. It also received quite strong support in Holland.The second law had a more chequered history. It was enunciated in its exact form by a few writers and was used in practice by some others without being explicitly formulated, but the majority, especially after 1645, preferred one or another of several variant forms which were easier to use but only approximately correct. The third law attracted less interest than the others, chiefly perhaps because it had no satisfactory theoretical basis, but it was correctly stated by at least six writers during the period under review.Between about 1630 and 1650 Kepler's Epitome Astronomiae Copernicanae was probably the most widely read work on theoretical astronomy in northern and western Europe, while his Rudolphine Tables, which were based upon the first two laws, were regarded by the majority of astronomers as the most accurate planetary tables available.Kepler's work certainly did not receive all the recognition it deserved, but the extent to which it was neglected has been much exaggerated. (shrink)

The Global Burden of Disease Study is one of the largest-scale research collaborations in global health, producing critical data for researchers, policy-makers, and health workers about more than 350 diseases, injuries, and risk factors. Such an undertaking is, of course, extremely complex from an empirical perspective. But it also raises complex ethical and philosophical questions. In this volume, a group of leading philosophers, economists, epidemiologists, and policy scholars identify and discuss these philosophical questions. Better appreciating the philosophical dimensions of a (...) study like the GBD can make possible a more sophisticated interpretation of its results, and it can improve epidemiological studies in the future, so that they are better suited to produce results that help us to improve global health. (shrink)

The question discussed in this paper is the relation of the Topics to the two Analytics. The smaller works are here ignored.

There are only two passages in the whole of the works of Plato and Aristotle in which the word σχoλ is given central position and philosophical significance. These are the celebrated interlude in the Theaetetus of Plato and the predominantly educational discussion of the foundations of the ideal city in Aristotle's Politics, Bks. VII and VIII. It will be as well to begin by summarizing briefly the doctrine of these two passages.

It is difficult for a philosopher to contemplate with equanimity the fate which is overtaking, if it has not already overtaken, the word logical. “Logical” is one of a trio of words selected by the Greeks to represent the three main departments of philosophy; and of this trio the other two members, the words “ethical” and “physical,” have at least remained respectable; and to be called “philosophical” is almost a compliment. But to be logical is apparently, at least in England, (...) to enter on very questionable courses: it is to class yourself with every reckless extremist, with the latest and wildest ism in art, politics, and literature, with Russians and Frenchmen and the “Latin mind.” No less a person than H.M. Secretary of State for Foreign Affairs, on no less an occasion than an Assembly of the League of Nations, has lately proclaimed proudly to the gathered nations that lack of logic is the special virtue and privilege of the British Empire. The “lesser breeds with in the law” heard no doubt and trembled, wondering how they could ever compete with a Power to which the laws of thought themselves were mere expediencies. Thus it appears, if Sir Austen Chamberlain is right, that to be logical is to fall into a human weakness or vice, and that this weakness or vice is fortunately commoner outside than inside the British Empire. (shrink)