Not Zero

Not Zero

Michele Diodati

Proving the Pythagorean Theorem

Some algebraic and geometric proofs of the best-known theorem of all time

9 min readNov 25, 2021

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Proving the Pythagorean Theorem

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Michele Diodati

How to Calculate Square Roots by Hand

The long method, to obtain a correct result to any level of accuracy without resorting to estimates

12 min readNov 13, 2021

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How to Calculate Square Roots by Hand

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3

Michele Diodati

Russell’s Paradox

Is the set of all sets that are not elements of themselves an element of itself or not? Russell’s paradox in Russell’s own words and some…

13 min readNov 7, 2021

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Russell’s Paradox

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Michele Diodati

Equivalence Relations, Equivalence Classes and Partitions

Equivalence relations are powerful tools for organizing sets of any kind into homogeneous subsets

4 min readNov 3, 2021

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Equivalence Relations, Equivalence Classes and Partitions

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Michele Diodati

Ordering Relations

The concepts of total and partial ordering

7 min readOct 28, 2021

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Ordering Relations

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Michele Diodati

Ordered Pairs, Cartesian Product, Binary Relations

A binary relation R on a set A is a subset of the Cartesian product A×A

7 min readOct 25, 2021

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Ordered Pairs, Cartesian Product, Binary Relations

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Michele Diodati

ℒ, the Language of Set Theory

A formal language based on a few symbols, through which it is possible to express an infinity of mathematical concepts

4 min readOct 21, 2021

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ℒ, the Language of Set Theory

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Michele Diodati

Magic Squares and How to Construct them

How to create magic squares of odd and even order

10 min readOct 18, 2021

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Magic Squares and How to Construct them

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2

Michele Diodati

Power Set

The set of all subsets of a given set

3 min readOct 14, 2021

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Power Set

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Michele Diodati

Basics of Sets

The concepts of set and subset, the principle of extensionality, the empty set, union and intersection of sets

7 min readOct 12, 2021

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Basics of Sets

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Not zero deals with mathematics without any pretense of completeness or originality. It doesn’t want to teach anyone anything. Please take it as personal entertainment, born to clarify the ideas to its author.
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Michele Diodati
Science writer with a lifelong passion for astronomy and comparisons between different scales of magnitude.

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