Academia.edu no longer supports Internet Explorer.
To browse Academia.edu and the wider internet faster and more securely, please take a few seconds to upgrade your browser.
…
4 pages
1 file
AI-generated Abstract
This paper explores the author’s system of categorical opposites as a method of analyzing comparative truths, prompting a reevaluation of dualistic conceptions of truth. It argues that this method, despite being structured and logical, is capable of yielding original insights and emotional relevance by providing a framework that accommodates multiple qualities and contexts. Furthermore, the paper critiques traditional methods of reasoning, highlighting the advantages of categorical deduction in establishing coherent comparative analyses.
Logica Universalis, 2008
Each predicate of the Aristotelian square of opposition includes the word "is". Through a twofold interpretation of this word the square includes both classical logic and non-classical logic. All theses embodied by the square of opposition are preserved by the new interpretation, except for contradictories, which are substituted by incommensurabilities. Indeed, the new interpretation of the square of opposition concerns the relationships among entire theories, each represented by means of a characteristic predicate. A generalization of the square of opposition is achieved by not adjoining, according to two Leibniz' suggestions about human mind, one more choice about the kind of infinity; i.e., a choice which was unknown by Greek's culture, but which played a decisive role for the birth and then the development of modern science. This essential innovation of modern scientific culture explains why in modern times the Aristotelian square of opposition was disregarded.
Conceptual Engineering and Conceptual Ethics, 2020
Conceptual engineers often invoke a distinction between happy-face and unhappy-face solutions to alethic paradoxes. Happy-face solutions are thoroughly specific: they isolate a single, basic principle (“the culprit”). Unhappy-face solutions, meanwhile, are thoroughly non-specific: they merely establish the collective guilt of a group of principles which together produce the paradox. According to this taxonomy, conceptual engineering can only take place via unhappy-face solutions. In this chapter, I: (1) give an expanded taxonomy which allows for both Happy-Face and two forms of Unhappy-Face Conceptual Engineering and show that (2) happy-face treatments represent a limit case. (3) Unhappy-face treatments also represent a kind of limit case. (4) Between these limit cases are treatments which are neither maximally specific nor maximally unspecific but nonetheless specific enough to treat a paradox. (5) Such treatments become thoroughly neutralist when they reject some principle at work...
2021
espanolEste ensayo presenta una teoria experimental de los valores. Se extrae un esquema de dos pares de conceptos que se utilizan en la evaluacion moral: bueno y malo, por un lado, y correcto e incorrecto por el otro. El esquema se usa luego para explorar los analogos de los conceptos morales en la evaluacion estetica y epistemica. EnglishThis essay presents an experimental theory of values. An abstract schema is extracted from two pairs of concepts that are used in moral evaluation, good and bad, on the one hand, and right and wrong on the other. The schema is then used to explore the analogues of the moral concepts in aesthetic and epistemic evaluation.
Discussions on the number of trichotomies chosen by Charles S. Peirce to create and classify signs generated many diverse and varied opinions. This article implements the "trichotomic machine". This machine is obtained by a mathematical modeling which uses only three basic definitions of algebraic theory of categories (category, functor, natural transformation of functors). It is carefully designed to ensure that it fits perfectly with Peirce’s statements on the issue. A computer application created by Patrick Benazet automates its operation when it is applied to suites of objects of thinking (phanerons in Peirce terminology) connected by successive determinations. The results are indisputable. These are well-known order structures called lattice. For cases of triadic and hexadic signs the results were validated a long time ago. However for decadic signs it is shown that the question is still open and that it would be imprudent to take for granted the 66 classes of signs.
Go to tobybetenson.com for my recent work.
Around and Beyond the Square of Opposition, 2012
A formal theory of oppositions and opposites is proposed on the basis of a non- Fregean semantics, where opposites are negation-forming operators that shed some new light on the connection between opposition and negation. The paper proceeds as follows. After recalling the historical background, oppositions and opposites are compared from a mathematical perspective: the first occurs as a relation, the second as a function. Then the main point of the paper appears with a calculus of oppositions, by means of a non-Fregean semantics that redefines the logical values of various sorts of sentences. A number of topics are then addressed in the light of this algebraic semantics, namely: how to construct value-functional operators for any logical opposition, beyond the classical case of contradiction; Blanché’s “closure problem”, i.e. how to find a complete structure connecting the sixteen binary sentences with one another. All of this is meant to devise an abstract theory of opposition: it encompasses the relation of consequence as subalternation, while relying upon the use of a primary “protonegation” that turns any relatum into an opposite. This results in sentential negations that proceed as intensional operators, while negation is broadly viewed as a difference-forming operator without special constraints on it.
Between the Species: An Online Journal for the Study of Philosophy and Animals, 1996
A general theory of logical oppositions is proposed by abstracting these from the Aristotelian background of quantified sentences. Opposition is a relation that goes beyond incompatibility (not being true together), and a question-answer semantics is devised to investigate the features of oppositions and opposites within a functional calculus. Finally, several theoretical problems about its applicability are considered.
This paper aims for a more robust epistemological disjunctivism (ED) by offering on its behalf a new and better response to the 'new evil genius' problem. The first section articulates the 'new evil genius challenge' (NEG challenge) to ED, specifying its two components: the 'first-order' and 'diagnostic' problems for ED. The first-order problem challenges proponents of ED to offer some understanding of the intuition behind the thought that your radically deceived duplicate is no less justified than you are for adopting her perceptual beliefs. In the second section, I argue that blamelessness explanations are inadequate to the task and offer better explanations in their place—that of 'trait-level virtue' and 'reasonability'. The diagnostic problem challenges proponents of ED to explain why it is that classical internalists disagree with them about how to interpret new evil genius considerations. The proponent of ED owes some error theory. I engage this problem in the third section, arguing that classical internalists are misled to overlook disjunctivist interpretations of new evil genius thinking owing to a mistaken commitment to a kind of 'vindicatory' explanation of proper perceptual belief.
Journal of Plankton Research, 2020
Journal of Biblical Literature, 1993
Advances in Agriculture, 2014
EGA Revista de Expresión Gráfica Arquitectónica, 2019
Journal of Cerebral Blood Flow and Metabolism, 2015
Monthly Weather Review, 1993
Nature Communications, 2023
Chemistry of Materials, 2010
Mechanical Systems and Signal Processing, 2017
Surgical Science, 2020
Physical Review Letters, 2011
Theoretical and Applied Climatology, 2015