What Went Wrong?
Mathematics, as it stands today, has deviated significantly from its foundational principles.
The intrinsic nature of mathematics has undergone substantial transformation, largely due to an erroneous foundational approach, which this research aims to rectify.
When discussing numbers, various philosophical schools of thought—such as Nominalism, Fictionalism, and Platonism—are often invoked. However, these perspectives face inherent challenges that remain unresolved. This theory endeavours to offer a novel perspective on numbers, their essence, and their existence, with the objective of reducing abstraction and enhancing intuition in mathematics. This theory tries to establish the most fundamental concept that could exist in the field of Mathematics, its origin and its future.
Mathematics boasts a rich and diverse history across all civilizations. During ancient times, it flourished as a tool for solving practical, real-world problems, and not only Bhāratīyāḥ (भारतीयाः, Indians) but the entire world made significant contributions to its development.
Who came first? Who conceptualised it first? Who theorise it first? These types of questions are the matter of different research. From now on, what you are going to experience is a true marvel on its own.
The language of संस्कृतम् (Saṃskṛtam) plays a pivotal role in preserving, expanding and explaining these mathematical foundations. Saṃskṛtam is a very rich and vast language, and its specific words carry profound meanings intricately tied to the Saṃskṛti (संस्कृति, culture) of Bhārata (भारत). This linguistic and cultural context is crucial for grasping the original mathematical principles.
The objectives of this theory are as follows:
To establish a foundational framework for mathematics.
To provide a definition of measurement.
To explain the nature of positive numbers
To define the concept of numbers and their existence.
To offer a clear definition of zero, including:
Its exact nature.
The rationale for its inclusion in mathematics.
The importance of zero in mathematical completeness.
To present an interpretation of negative numbers.
To clarify fundamental mathematical operations, including addition, subtraction, multiplication, division, exponents, negative exponents, indices, and negative indices.
To explore the nature and properties of imaginary numbers.
To address ambiguities and undefined terms in mathematics comprehensively.
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