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Deconstruction of Mathematics: Alternative view on mathematical structures and logic behind them
Paperback
Publisher: Independently Published
Published: Mar 22 2026
Pages: 148
Weight: 0.46
Height: 0.32 Width: 6.00 Depth: 9.00
Language: English
All people in the civilized world learn mathematics. They learn what they're instructed to learn. The most docile individuals are praised and in the end awarded academic degrees. The only two questions remain: Is the subject of study, the mathematics itself in the way they learn it, logically correct? And are the classic approaches to teaching or perceiving this science really efficient and explicatory?
In this book I'm just trying to show a view on mathematics that's different from the one that's considered standard, the one that's usually taught. You'll see mathematical structures and mathematical problems from broader or unexpected perspectives. You'll see something interesting, something you've never seen before. You'll learn something new to you; possibly even that something you think you know, because you learned in the past, is actually wrong or very incomplete. And don't worry, you definitely don't have to be a mathematician in order to understand the content of this book and enjoy many parts of it.
Within the book there are shown and explained:
- Mental calculation tricks
- Semantic problems
- Solution of coastline paradox
- Use of extension of binomial theorem
- Positional numeral systems with natural number radix, including general divisibility criteria (!)
- Rational number radix (!), negative integer radix, mixed radix, radix 1 and -1
- A construction of a numeral system you don't expect
- Ternary relations are more important than the binary ones (!)
- Analysis of the concept of mathematical operation
- n-power belts and n-power sets (!)
- Proof of logical absurdity of taught concepts of cardinality and countability of infinite sets (!)
- Question of feasibility of construction of real numbers
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