Prologue to Linear Algebra

In this we're demonstrating an analyze on the instantaneous polynomial math and shape in huge variety juggling. right now component based totally totally math is the piece of range juggling required with the exam of vectors, vector domain names (in like manner encouraged as straight away zones), instantly maps (moreover insinuated as right away systems), and systems of heterosexual conditions. Vector districts are a critical check in current math; on this manner, immediately factor primarily based math may be very well applied in every applied polynomial math and critical assessment. Direct polynomial math likewise has a strong occasion in logical geometry and it is summed up in government rule. It has great packages inside the home advanced sciences and the humanistic structures, considering nonlinear fashions can continuously be approximated via the usage of direct ones.

Seven Compact Essays on Color

The article is a group effort consisting of an introduction and seven compact essays. It is focused on the problem of color from the perspective of current philosophical discussions on the role of the Enlightenment and the relationship between light and dark. The introduction by Michael Kurtov presents a roadmap for navigating through the seven essays by referring to a schema of “color knowledge” which has four dimensions: luminosity, resolution, saturation, and hue. Each of the texts in the article (the introduction and seven essays) deals mostly with one of “color knowledge”, which are formed by combining three color dimensions. Roman Mikhailov explores the plastic-dynamic correlates of colors and the chromaticity of the text understood broadly both as the text of nature and as an abstract symbolic complex. Eugene Kuchinov offers a “haptic criticism of the Enlightenment,” which is an analysis of color phenomena from the point of view of the skin (not the eye): on the basis of the logic of sensation, color is “viewed” beyond the light, beyond the optics. Yoel Regev develops a hermeneutics of color applied to the Torah: color is interpreted as a deception which is opposed to another deception belonging to a “true enlightenment.” Michael Kurtov addresses a revision of Goethe’s theory of color based on new physical experiments and on the logical geometry of color and then arrives at a critique of contemporary chromo-ideology. Nataliya Tyshkevich reveals the modern political meaning of coloring in the context of the recent “renaissance of modernist aesthetics” in which dealing with form is replaced by dealing with surfaces. Gray Violet describes color and darkness as political functions that turn into each other in the middle of a non-place in the “smart city.” The final piece by Nikita Sazonov elaborates the procedure of colorization by examining noncolor - a resource beyond the colored and the uncolored, most readily manifested in the printed character as well as in modern hip-hop culture.

The Emerging Computational Biolinguistic Framework

The convergence of software and intelligent sciences forms the transdisciplinary field of computational intelligence. Abstract intelligence is a human enquiry of both natural and artificial intelligence at the reductive embodying levels of neural, cognitive, functional, and logical from the bottom-up (BU). The human brain is at least a factor of 1 billion more efficient than our present digital technology, and a factor of 10 million more efficient than the best digital technology that we can imagine today. The unavoidable conclusion is that current neuromorphic engineering has something fundamental to learn from the human brain and cells about a new and much more effective form of computation, with a convenient, effective, efficient, and reliable BU approach. The author presents a brain-inspired geometric-logical scheme defining fundamental human linguistic and predicative competence. According to CICT, complete duality of opposition and implication geometry in logical geometry and language can model n-dimensional predicative competence and beyond, according to available computational resources.

Multi-Sorted Logic and Logical Geometry: Some Problems

The paper has a form of a survey on basics of logical geometry and consists of three parts. It is focused on the relationship between many-sorted theory, which leads to logical geometry and one-sorted theory, which is based on important model-theoretic concepts. Our aim is to show that both approaches go in parallel and there are bridges which allow to transfer results, notions and problems back and forth. Thus, an additional freedom in choosing an approach appears. A list of problems which naturally arise in this field is another objective of the paper.