Deconstruction of Mathematics: Alternative view on mathematical structures and logic behind them

Name: Deconstruction of Mathematics: Alternative view on mathematical structures and logic behind them
Brand: Independently Published
SKU: 9798253182215
Price: 1688.0 INR
Availability: InStock

by Milan Fuchs

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ISBN13: 9798253182215
Binding: Paperback
Subject: N/A
Publisher: Independently Published
Publisher Imprint: Independently Published
Publication Date: March 22, 2026
Pages: 148
Original Price: GBP 14.98
Language: English
Edition: N/A
Item Weight: 209 grams
BISAC Subject(s): Infinity

About The Book

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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