Mega-Overmathematics

by

© Ph. D. & Dr. Sc. Lev Gelimson

 

Quintessence

 

Overmathematics Essence

 

Uniarithmetics, Quantianalysis, and Quantialgebra: Uninumbers, Quantielements, Quantisets, and Uniquantities with Quantioperations and Quantirelations (Essential)

 

 

 

Principles of Constructive Philosophy

 

Principles of Overmathematics

 

 

 

 

Main Monographs

 

Quanti-Overmathematics

 

Fundamental Zero Science

 

Fundamental Infinity and Infinitesimal Science

 

Fundamental Uninumber Science

 

Fundamental Uniquantity Science

 

Cardinal-Zero Mega-Quanti-Overmathematics

 

General Mega-Quanti-Overmathematics

 

Overmathematics: Fundamental Principles, Theories, Methods, and Laws of Science (former Elastic Mathematics: Theoretical Fundamentals)

 

Uniarithmetics, Quantialgebra, and Quantianalysis: Uninumbers, Quantielements, Quantisets, and Uniquantities with Quantioperations and Quantirelations

 

Additional Special Monographs and Articles

 

Quantianalysis: Uninumbers, Quantioperations, Quantisets, and Uniquantities (former Hyperanalysis: Hypernumbers, Hyperoperations, Hypersets, and Hyperquantities (Multiquantities))

 

Empty Value Theory

 

Sign-Conserving Multiplication Theory

 

Negative Base Power Theory

 

Quantisets and Their Quantirelations (Essential)

Quantiintervals and Semiquantiintervals (Essential)

Uniquantities (Essential)

Quantisets Algebra (Essential)

Integral and Fractional Quantisets and Their Quantialgebras (former Sets with Any Quantity of Each Element, or Hypersets)

 

Mengen mit beliebiger Quantität von jedem Element (former Hypermengen; Sets with Any Quantity of Each Element, former Hypersets, now Quantisets, in German)

 

Overmathematics (Essential) (former Elastic Mathematics)

 

Basic Quantianalysis: Uninumbers, Quantioperations, Quantisets, and Uniquantities (former: Hyperanalysis: Hypernumbers, Hyperoperations, Hypersets, and Hyperquantities (Multiquantities))

 

Quantisets Algebra

Uninumbers

Uninumbers Representations

 

(Over)Infinity Sciences in Universal (Meta)Philosophy, Mathematics, Physics, and Metrology

 

Directionally Splitting and (Over)Infinitesimally Surrounding Multidimensional Zero and Universal Numbers

 

Universal Mathematics: Discovering Zero Nature, Emptiness and Continuum Uniparticles Universality, and Invented Over(Infinite) Measurability

 

Universal Mathematics Discovering the Measurability of the Infinite and the Invented Overinfinite, the Universality of Emptiness and Continuum Uniparticles

 

Monograph Contents

 

Popular

 

Philosophic Significance of Overmathematics

 

Different Essences and Natures of Mathematics and Natural Sciences: Mathematics as an Invention and Natural Sciences as Discoveries

 

On Overmathematics (in Russian)

 

"December, Savage, Descartes, River..." (in Russian)

 

"Magic Mathematics" (fairy tale) (in Russian)

 

"Future Fog" (in Russian)