Math controversy should not exist

Because you can not divide 1 precisely by 3 decimally.

Infinite people, infinite buses, infinite rooms, andinfinite hotels...Are to be proven that is the Hypothesis. The groups ofpeople on the bus do not end, nor do the groups of rooms in the hotels. The veyuse of odd even rooms in the video, the people on the buses are all still allpeople, simply the infinite group is on every bus to be counted in simultaneoussequence. 

Yes.......no, mathematics states Pi is invalid.

Yep.

There is a reason for an infinite number of nines.

And I just explained why.

If this is meant to be a counterargument, I don't see what it proves.

Calculus and group theory really don't have much to do with each other. Especially not the Archimedean property.

Calculus has a lot to do with sets but sets and groups are not the same.

Everything in the video has a fixed value. The cardinality of the hotel and of the buses is aleph null, and the cardinality of the party bus at the end of the video is the continuum. (see the second meaning of "continuum" on the linked webpage) Cardinal numbers never show up in calculus, but this isn't calculus, it's set theory.

Mathematics does not state that "π is invalid." That's ridiculous. Could you link to a source which states this, or prove that "π is invalid?"

 " meaning that it cannot be a solution of an equation involving only sums, products, powers, and integers."

And so on.

Because you can not divide 1 precisely by 3 decimally.

The conundrum is simple.

And infinite isn't mysterious.

And fractions is what I was brought up with.

But 0.9999.....will still never equal 1

Because you can not divide 1 precisely by 3 decimally.

Yep that's the way we used to do it as kids....Pre decimal.....We called them fractions. But not the same as dividing 1 by 3 decimally.  You know what decimal means?

The video is not meant to be a counter argument. lol......

Infinite people, infinite buses, infinite rooms, andinfinite hotels...Are to be proven that is the Hypothesis. The groups ofpeople on the bus do not end, nor do the groups of rooms in the hotels. The veyuse of odd even rooms in the video, the people on the buses are all still allpeople, simply the infinite group is on every bus to be counted in simultaneoussequence. 

how does anyone counter a theoretical condition we are pretending which is describing a scenario with its own goal not condition set to be factual sound prinicples. Please do not get me wrong I like the video it is simply not how I would describe it, that is all. Again I am sorry I can get offensive. As fact we agree there is no such thing as an infinite number of people, correct? Conflicts change when theoretical conditions are not meant to be argued as a truth. Again, the video is a lie made to prove a point. Point taken. I am just giving a limited point of view on logic and reason. Honestly it was a great video all things aside.

I have gone over with "zedvictor4" thereis no infinite number of nines it is a low-level program error in a calculator.Nothing more than the numbers repeating is nothing but a choice over cost effective production of calculators and the computer age ate it up like prime beef or a meatless steak if we role that way. We have cited the work Archimedes  and the issue had been made clear Centuries ago by his work. 

Groups and sets have everything to do with fraction stranslated and written as decimals.

As does calculus

According to Archimedes and mathematics the infinite decimal does not exist.

Citing Archimedes property is just the wrong as a call addressing infinite in relationship to irrational decimals as irrational numbers.

The guy wrote Calculus....

Everything in the video has a fixed value. No, it started that way but quickly changed...the hotel for all we know has an infinite number of buildings, one for each bus. The buildings only hold 10, 100, 1,000,10,000., 100,000, 1,000,000, 10,000,000, 100,000,000, and 1,000,000, 000 people as so we can identify by series the truth of infinite. The real issue is that the calculator is just having sex and multiplying like a rabbit the sequence of 0.99999 is a flaw in the calculator’s design. Rights Reserved Patent pending.As a mathematician a person has a certain obligation to uphold a standard of morality when issues of human safety are involved with instruction of mathematics. Laws of education govern only the principle of instruction not injustice or legal negligence, it is law of negligence and other laws which does this. Usually,. Not always by usually…

Odd enough yes the derinition Wiki uses for Pi describes the sum of by being unfit to use in any calculation that requires a sum.......

meaning that it cannot be a solution of an equation involving only sums, products, powers, and integers

I can even quote you as you have said the 3.14159 is not used instead a veriable vlue symbol is used  π.

The metaphoric nature of this debate is about Stars, Solar System, Galaxy, and Universe. The debate used infinite numbers created by a calculator to do this, it is the calculator which creates the idea of endless space that a sum may fill. This is not the identical reasoning and logic behind the infinite universe. The bus video is taking this scaling condition in a different direction than the  # 0.99999 issue of the debate and the infinite concept of an unexplained volume in a boundless universe.

And so on.

In thehypothetical it is just one building: The hotel. Where the buses come from isirrelevant, since as I explained earlier, everything in the video is a stand-infor an abstract mathematical object. Metaphors don't have to be realistic solong as they represent what they are meant to represent effectively. You bringup calculator error again. As I have already explained, calculators are notrelevant here. As to all the stuff about morality and legal negligence, thishas not the slightest hint of relevance to this discussion. 

Agroup  isa finite or infinite set of elements together with a binary operation (called the group operation) that together satisfy the four fundamental properties ofclosure, associativity, the identity property, and the inverse property. Theoperation with respect to which a group is defined is often called the"group operation," and a set is said to be a group "under"this operation. Elements A, B , C, ... with binaryoperation between  A and  B denoted  A B forma group. Group --

from Wolfram MathWorld.com

Agroup  G is a finite or infinite set of elements together witha binary operation (called the group operation) that together satisfy the four fundamental properties ofclosure, associativity, the identity property, and the inverse property. Theoperation with respect to which a group is defined is often called the"group operation," and a set is said to be a group "under"this operation. Elements A, B , C, ... with binaryoperation between  A and  B denoted  A B forma group.

Yes, the decimal expansion for π is basically entirely useless within the field of pure mathematics. π itself, however, is most certainly not. π is very important in pure math and the real world. Also, regardless of usefulness, π decimals expansion most certainly is valid.

This debate has nothing to do with stars, the Solar System, the galaxies, or the universe, nor does it have anything to do with calculators, despite your insistence that it all comes down to calculator error, which is false. As I have already explained, calculators are entirely unnecessary to prove 0.99999... = 1.

I cannot say Pi is useless it just happens to be closer to a ratio of 4: 1 than 3: 1 adn tht is the reason it almost works when using Trigonometry.

It is trigonometry Isaace Newton formulated as a mathematic and what he had done is added woprk to Achemidese efforts in calculus.

No it is the error in mathmematics at the binary level in calulator and calulating systems the chips and low level coding create the infinite decimal.

Achimedes and the whole Roman empire for a period of time had used a 1/12 fraction as a decimal in place of 1/10 or much of the Romen Empires  money.

But strays from the simplicity of the fraction decimal incompatibility in this instance.

I am going to disagreeand say there are multiple infinite numbers of decimal numbers

Isaac Newton and Gottfried Leibniz invented calculus, not Archimedes. We've been over this.

You insist on attacking a source that I am not even using. In my arguments that 0.99999... = 1 I have at no point made use of a calculator, so your insistence that it is a result of calculator error is ridiculous. This would be like if someone told you that the Earth was round, and you responded with "well, you can't trust wikipedia!"

Yes, you are correct and thank you, Newton's work in trigonometry just sticks in my mind better for some reason. I am under the weather and willneed to come back to some of this in a couple days. 

It is a machine error or specifically a human judgment call directing the error the machine makes.

As we are going to go back and forth with this and in the end, we need a few more different rulers if you agree with me I am going to rest.

You are only reiterating the same argument that I have repeatedly explained the irrelevance of. You will need to point out an error made in my argument, rather than some other one. My argument did not involve the use of a calculator, so claiming that this is where the error lies is nonsensical.

The fact that π is transcendental means nothing about its decimal expansion. It is a fact about the number itself.