The symbolism of nature as a book in which one reads is of ancient origin. This study focuses on the question of its mathematical and theological language in the biblical context and on the background of changes in natural philosophy, especially in the Renaissance period. The biblical context is associated with the paradigm shift in the Renaissance period, because all the researched authors addressed the questions of meaning and methods of research of nature in connection with the hermeneutics of biblical (...) texts. The change in attitude towards the method and results of nature research is connected with two concepts of the relationship of mathematics to the real world. As this world is considered to be created by God, the relationship of mathematics and matter is linked to the question of God's relationship to mathematics. In relation to nature, it was initially significantly limited to geometry, largely under the influence of Euclid and Pythagoras. In the Renaissance period, the preconditions for analytical geometry and infinitesimal calculus were already being created. Thanks to them, Newton was able to build a new physics that combined ancient and medieval approaches to astronomy and terrestrial nature, originally diametrically different, into one whole. (shrink)

Freedom is a topic which has been and is being addressed by a number of authors from various aspects and on the basis of diverse philosophical or philosophical-religious postulates. A change in the anthropological paradigm necessarily produced changes in the understanding of freedom. Responsibility is a concept that is much less frequent than the theme of freedom. But without it, the explanation of freedom is not adequate and leads to many misunderstandings. When freedom is artificially separated from responsibility, it rises (...) to the highest place in the ranking of values and thus leads to self-destruction. It becomes arbitrariness, and it produces enslavement. Before looking at the relationship between freedom and responsibility, it will be necessary to give some anthropological assumptions, although well-known but necessary for further action. It will mainly concern a man as a person, his individuality and sociality. It will also be necessary to clarify what concepts of freedom we will work with. After introducing some (basic) understanding of responsibility, we will be able to formulate mutual conditionality between freedom and responsibility. (shrink)

The publication offers an interdisciplinary and historical approach to the questions of exploration of the world with an emphasis on paradigm changes during the Renaissance and early modern times, leading to new concepts that we can accept as the beginning of the natural sciences in our current understanding. The main goal is to point out the connections between the paradigms of mathematics, theology and natural sciences, the connection of which is for the main protagonists an essential factor in the formation (...) of conceptions leading to the emergence of natural sciences in the modern sense. (shrink)

In 2001, W. Carnielli and Marcos considered a 3-valued logic in order to prove that the schema ϕ ∨ (ϕ → ψ) is not a theorem of da Costa’s logic Cω. In 2006, this logic was studied (and baptized) as G'3 by Osorio et al. as a tool to define semantics of logic programming. It is known that the truth-tables of G'3 have the same expressive power than the one of Łukasiewicz 3-valued logic as well as the one of Gödel (...) 3-valued logic G3. From this, the three logics coincide up-to language, taking into acccount that 1 is the only designated truth-value in these logics. -/- From the algebraic point of view, Canals-Frau and Figallo have studied the 3-valued modal implicative semilattices, where the modal operator is the well-known Moisil-Monteiro-Baaz Δ operator, and the supremum is definable from this. We prove that the subvariety obtained from this by adding a bottom element 0 is term-equivalent to the variety generated by the 3-valued algebra of G'3. The algebras of that variety are called G'3-algebras. From this result, we obtain the equations which axiomatize the variety of G'3-algebras. Moreover, we prove that this variety is semisimple, and the 3-element and the 2-element chains are the unique simple algebras of the variety. Finally an extension of G'3 to first-order languages is presented, with an algebraic semantics based on complete G'3-algebras. The corresponding soundness and completeness theorems are obtained. (shrink)

Ang papel na ito ay isang kritikal na ulat tungkol sa pilosopiyang Pilipino sa panahon ng rehimeng Duterte. Sa pamamagitan ng Google Scholar tinukoy nito ang limang nangungunang Pilipinong pilosopo na sumuri sa nasabing rehimen: sina Christopher Ryan Maboloc, Regletto Aldrich Imbong, Tracy Llanera, Carlito Gaspar at Jude Raymun Festin. Kinilala nito ang nasabing limang pilosopo, at hinimay ang kani-kanilang pangkalahatang paninindigan kaugnay sa nasabing rehimen, isyung tinutukan, pilosopong kabalitaktakan, at pilosopong tinutungtungan. Sinuri din ng papel na ito ang ideolohiyang (...) politikal ng limang pilosopo gamit ang modipikadong spectrum nina Hans Slomp at F.P.A. Demeterio. Naglahad ang papel na ito ng lagom tungkol sa kabuuang boses ng pilosopiyang Pilipino sa ilalim ng nasabing rehimen. (shrink)