Nothing has been found more effective than this

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Some relational operators if importance here.

"<" as "less than"
"≤" as "less than or equal to"
"=" as "equal to"
"≥" as "greater than or equal to"
">" as "greater than"

Which sounds better: (they say the same thing)

All the toothpastes were found to have the same effectiveness.
No toothpaste has been found more effective than "Crust".

Consider the following values: 5 5 5 5 5. We can say the following.

All numbers are equal to 5. All x are equal to y.
No number is greater than 5. No x is greater than y.
No number is less than 5. No x is less than y.

All numbers are less than or equal to 5. All y are less than or equal to x.
All numbers are greater or equal to 5. All x are greater than or equal to y.

A common self-deception is to not realize that all the values are at the same semantic level.
The "least" of these is the same as the "greatest" of these if all are at the same level.

$Pacman less than$	$Less than sign$
$Pacman greater than$	$Greater than sign$

The correspondence between relational operators can be confusing to some.

Pacman has a big mouth.
Pacman is hungry
Pacman eats the larger number

Does that help?

$Pacman less than$	$Less than$
$Pacman greater than$	$Greater than$

The correspondence between relational operators can be confusing to some.

The purpose of algebra is to work through problems without having to think about what it means. It is just symbol manipulation. Much of computer programming is algebra and symbol manipulation and not thinking like a computer.

Do you remember the commercial for toothpaste, here called "Crust"? It went something like the following.

Extensive research studies by independent researchers found that no toothpaste has been found to be more effective than "Crust" in doing good things for your teeth.

So the "Crust" toothpaste must be pretty good. Is that correct? It turns out that, in this (hypothetical) study, all toothpastes studied had the same results (within experimental error). Thus there was no best and no worst one.

Marketing words to the rescue.

Crust

Most people will not recognize the fine distinction.

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The phrase "not" "greater" is logically the same as "less than or equal to".
The phrase "not" "less than" is logically the same as "greater than or equal to".

Suppose we have the following numbers.

5 5 5 5 5

We can say the following.

No number is greater than 5.
All numbers are greater or equal to 5.
All numbers are equal to 5.
No number is less than or equal to 5.
No number is less than 5.

We can also say the following, where x, is one of the numbers.

No other number is greater than x. (marketing use if high score is best, as in "No other number was found to be more effective than our brand.")
All numbers are greater or equal to x.
All numbers are equal to x.
No number is less than or equal to x.
No other number is less than x. (marketing use if low score is best)

Matthew 13:31 Another parable put he forth unto them, saying, The kingdom of heaven is like to a grain of mustard seed, which a man took, and sowed in his field: [kjv]

13:32 Which indeed is the least of all seeds: but when it is grown, it is the greatest among herbs, and becometh a tree, so that the birds of the air come and lodge in the branches thereof. [kjv]

The "mustard seed" :

is not the "smallest" of all "seeds".
is not the "greatest" of all "herbs".
grows into a bush, not a tree.

The "birds" do not (usually) nest in small bushes. Are the "birds" good? What is a "mustard seed"? What does a "tree" represent?

The KJV (King James Version) translates as "least" the Greek word that means "smallest". There is another Greek word for "least".

More: Matthew 13:31-32 KP3 Parable of the mustard seed

... more to be added ...