We prove that every rational angled hyperbolic triangle has transcendental side lengths and that every rational angled hyperbolic quadrilateral has at least one transcendental side length. Thus, there does not exist a rational angled hyperbolic triangle or quadrilateral with algebraic side lengths. We conjecture that there does not exist a rational angled hyperbolic polygon with algebraic side ...

The main purpose of the article is to analyze statements philosophical Ukrainian Studies about anthropological specifics thought by means historical-philosophical cultural-predicative analysis. research methodology was determined primarily concept cultural attribution and translation in dialogue languages historical cultures Poznań Methodological School (J. Topolski, W. Wrzosek, E. Domańska) cu...

Applied metaphysics, which contains the knowledge of objects a priori, makes a system out of pure reason, and that system of pure rational knowledge is called metaphysics in the strict sense. Transcendental philosophy is the propaedeutic of metaphysics proper. Reason determines nothing [in metaphysics proper] but rather speaks always of only its own ability, and in metaphysics proper it makes u...

The concept of “number” has formed the basis of civilzation since time immemorial. Looking back from our vantage point of the digital age, we can agree with Pythagoras that “all is number”. The study of numbers and their properties is the mathematical equivalent of the study of atoms and their structure. It is in fact more than that. The famous physicist and Nobel Laureate Eugene Wigner spoke o...

Résumé thinking, therefore, demonstrates that there is no logically coherent basis for the invention/ convention distinction that is all too often used to support the traditional belief that a musicologist’s sole task is merely the second-level analytical interpretation of musical compositions already so inventively brought into being by artists. This is an attitude that neatly excludes musicol...

In cognitive science epistemic logic is often used to describe reasoning with knowledge. Standard systems of epistemic logic suffer from the fact that they presuppose perfect and flawless reasoning (i.e. logical omniscience). Deviation from this ideal (e.g. logical ignorance) cannot be described by standard epistemic systems adequately. The majority of approaches to this problem weakens the log...

Transcendental equations are equations containing trigonometric, algebraic, exponential, logarithmic, etc. terms. Many analytical/iterative methods are used to solve transcendental equations. Though these methods are capable of solving many transcendental equations they suffer from many common disadvantages. Usually transcendental equations have many solutions in a given range, and analytical m...