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Category: Mathematical Insights

The Tale of Two Truncs: 0.5 as 1 and 0.

Would you round 0.5 to 1 rather than 0? With no other information than “0.5 needs to be rounded to an … More

0.5 rounds to 1, anti-truncation, math, rounding, truncation

How does Quantum Field Theory address wave particle duality?

Statistically. The duality is due to our mathematical models based on probability. Via calculus and empirical observation, we don’t literally … More

mental constructs, nature of reality, probability, Quantum Field Theory, quantum physics, statistics, wave particle duality

If You Can Add, Then You Can Math

Mathematics is fundamentally based on putting numbers together: addition. Subtraction, multiplication, and division, and all functions and algorithms – no … More

math fundamentals

Math:Physics:Engineering

Math is a tool Physics is an ideal Engineering is reality Note: Engineering is the application of physical models crafted … More

engineering, math, math application, Physics

Maths and Things

Mathematics represent the relationship of things. Numbers represent the definition of things. Calculus, statistics, computing and other mathematical systems represent … More

calculus, computing, mathematics, philosophy mathematics

Math:Reality Correspondence (spoiler: ≠1:1)

Numbers and mathematical relationships can only be a vague model or representative of reality, as infinite precision would be required … More

cognition, empirical limits, mathematics, mental constructs, nature of reality, Philosophy of math, psychology of mathematics

Complex Math is a Simplification

The more complex mathematics appears, the more it is just simplifying otherwise very complicated compounds of algebraic functions. For instance, … More

calculus, mathematics, simply complex
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