Anonymous coward and king troll of sci.math Dan Christensen spammed:
> "There are no points on a line."
Lie. I never said that. What I did say is that a line does not consists of points. When we talk about points on a line, we really mean distances that are indicated much like road signs do for distances travelled along a road.
A line is one of innumerable distances between any two points.
A straight line is the shortest distance between two points.
> "Pi is NOT a number of ANY kind!"
True. Pi is merely a symbol for an incommensurable magnitude - apparently a concept too advanced for an imbecile like Dan Christensen.
> "1/2 not equal to 2/4"
Lie. I have NEVER said this. What I have talked about is the difference in the process of measure.
What does this mean? Well, 1/2 is the name given to a measure done by enumerating 1 of two equal parts of the unit.
2/4 is the name given to a measure done by enumerating 2 of four equal parts of the unit.
There is the case in geometry where 1/2 is not necessarily equal to 2/4. For example:
_ / _ _
_ _ / _ _ _ _
The length _ is not equal to the length _ _ .
> “1/3 does NOT mean 1 divided by 3 and never has meant that”
True. My brilliant article on how a genius mind discovers number and indeed how my brilliant ancestors (Ancient Greeks) realised number explains in detail:
https://drive.google.com/file/d/1hasWyQCZyRN3RkdvIB6bnGIVV2Rabz8w
Also, my article on pi not being a number of any kind:
https://drive.google.com/file/d/1FFg_9XCkIwTZ9N1jbU4oMYfHHHuFHYf3
The true story of how we got numbers:
https://drive.google.com/file/d/0B-mOEooW03iLYTg1TGY4RTIwakU
No such thing as a "real number" or a "real number line":
https://drive.google.com/file/d/0B-mOEooW03iLMHVYcE8xcmRZRnc
There is no valid construction of "real number" - it's a myth:
https://drive.google.com/file/d/0B-mOEooW03iLSTROakNyVXlQUEU
> "3 =< 4 is nonsense.”
True. In mathematics, it is called an invalid disjunction.
3 <= 4 means EITHER 3 < 4 OR 3 = 4
Actually, there is no "OR" part, so the logical disjunction is invalid.
> "Zero is not a number."
True. While not a number of any kind, it is very useful in mathematics.
https://drive.google.com/file/d/1w2tt7IgoIu-ychDCoYi-4jOAzToy0ViM
> "0 is not required at all in mathematics, just like negative numbers."
Half-truth. While negative numbers are not required in mathematics, they are extremely useful.
> “There is no such thing as an empty set.”
True. Even the father of all mainstream mathematical cranks rejected the idea of empty set. But let's not go too far ... there isn't even a definition of "set" in set theory!
https://youtu.be/KvxjOMW6Q9w
https://youtu.be/1CcSsOG0okg
> “3 <=> 2 + 1 or 3 <=> 8 - 5, etc, are all propositions” (actually all are meaningless gibberish)
True. These are propositions that are implied by the given equations. For example, my historic geometric identity states:
[f(x+h)-f(x)]/h = dy/dx + Q(x,h)
And so, f(x+h)-f(x)]/h <=> dy/dx + Q(x,h)
The theorem:
https://drive.google.com/file/d/1RDulODvgncItTe7qNI1d8KTN5bl0aTXj
How it provides a rigorous definition of integral for the flawed mainstream calculus:
https://drive.google.com/file/d/1uIBgJ1ObroIbkt0V2YFQEpPdd8l-xK6y
The day will come when this vicious anonymous troll Dan Christensen is convicted in a court of law.
Download for free the most important mathematics book ever written:
https://drive.google.com/file/d/1CIul68phzuOe6JZwsCuBuXUR8X-AkgEO/view
The New Calculus is proof that you CAN DO calculus without the use of LIMIT THEORY.
Don't believe me? Study it. You will be pleasantly surprised.
I am a genius and the greatest mathematician alive today.