Steven

>>>Made me see my chemistry teacher in a new light, in a
>>>sense he was right, I was stupid at that time…
>>>I wasn’t putting in all of my effort, I was wasting
>>>both his time and mine. Regrets…….but I am glad
>>>I was able to see this.

Well, even if you weren’t applying yourself, his comment
still wasn’t very nice. I…[Read more]

>>>My most recent finding in my meditation and daily life,
>>>which has been with me for a while but is the most important
>>>finding of all for me, is that i always need to be watching myself,
>>>the moment i don’t i find myself doing silly things
>>>like tensing up in my normal areas. My body is really
>>>like a child, can’t leave it…[Read more]

Outside of doing some privates when people contact me,
I am not actively teaching qigong right now.
Mainly my energies are focused on getting my PhD.
I just want to get it out of the way, and not have
any side projects going on . . . plus, since I may
end up going to a completely new area in a year or so,
I likewise don’t feel it to be…[Read more]

>>>However i have one last thing that will help my digestion…
>>>The original countable infinity, if it starts from 1 and
>>>goes forever…. FOREVER… then any infinity,
>>>>no-matter how great, seems just as big as the original infinity.
>>>For any new number created in any other super infinity
>>>there could always be a new number…[Read more]

>>>I used to love maths but when i did my final year of high school
>>>and did specialist maths, even though i got a good score
>>>i started disliking it because it started to get
>>>into the realm of unusable.

Unusable is sort of a relative idea.
For instance, when–in everyday life–are you going to directly “use”
the ideas of…[Read more]

>>>Hmm, who says this though? How do they know?
>>>I can understand now how you could rate the continuum infinity
>>>as larger than a countable infinity because the time/effort/or
>>>even requirement required to count, divide
>>>or identify each ‘countable’ element means that
>>>the infinities must grow at different rates.

It doesn’t…[Read more]

>>>The only thing I can grasp is that
>>>because the blue marbles (1,2,3,4)
>>>are whole and the points are decimals
>>>that there is no fixed relationship
>>>(formula)that can be used to pair
>>>them together? Make them countable?

Check out the two posts I wrote in
response to zoose, it may give you some ideas. 😉

>>>If you break up…[Read more]

>>>Also…
>>>Are there any other kinds of infinities apart from countable and continuum?

Yes.

Lesson #5:

The size of an infinity is called its cardinality.
The cardinality of the jar of infinitely many marbles
is the countable infinity. The cardinality of the
number of points on a line segment is the continuum infinity.

THE…[Read more]

Nice to see you again.

You’ve asked a lot of questions, and I’ll try my best.
Ultimately this post becomes another couple lessons. 😉

>>>Countable infinity, or just countable means
>>>that the each number in the set is an integer correct? No decimals?

Actually, no.

Strangely enough, if you consider the set of all fractions between…[Read more]

Oh, that’s wasn’t very nice of him to say!

I think that everyone has the ability to
be successful in math. I think the major
problem is just the way that it is taught.
There is too much ridicule indoctrinated
at the lower levels and not enough
encouragement, promotion of curiosity,
and giving students the joy of…[Read more]

Did I hit a little close to home there, howdy? 😉
You seem a little unhappy that this is called a disorder. 😛
Just teasing . . .

The big difference with people who do intensive solitary
practice (without the disorder) are people who can
engage fully with others and do in fact do so when
the occasion is fully appropriate, but do…[Read more]

A great sharing . . .

It’s like somebody at your open door that you
are trying to entice to come in. The more
you want them to come in, the more they refuse.
The minute you stop trying, they come in of
their own free will.

This is what I’m reminded of, from your sharing.

After feeling some “stuckness” with your previous…[Read more]

Lesson #4:

Now we are going to consider the possibility
of an infinity that is larger than the one
we just looked at. I have to warn you in advance
though . . . this idea and the argument are a
real mind trip and it may take a few readings of
this before it sinks it.

And don’t worry if you don’t fully understand it,
the person…[Read more]

>>>Is it because the pairs have a “relationship”?
>>>Adel

Excellent. Gold Star!

All of your examples are correct, and you went
one step farther and noticed something on your
own that I even wasn’t going to mention (because
it is perhaps a little too mathematical).

So before I go on, let me just address what you
mentioned for…[Read more]

Hello Adel,

Nice to see you jump into the discussion. 😉
I’ll make this post slightly longer to give you
guys something to chew on for awhile, as I’m
leaving on a road trip today, and will be away
from the computer for a day or so.

Lesson #3:

You are correct.
They have the same size infinity.

Recall blue marbles: {1, 2, 3, 4,…[Read more]

>>>Thanks for your reply… I’d say just take one marble
>>>out of each jar at the same time, then another out
>>>of each jar, etc, not counting though, and if when
>>>you take the last marble out of the red jar,
>>>if you are taking the last one out of the blue jar
>>>then there must be an equal amount….

Exactly.

Lesson…[Read more]

>>>I can’t say i understood the whole concept 100%
>>>but it made sense to me because if you have an apple (.11)
>>>and it has infinate components, atoms, subatomic particles,
>>>energy, and even smaller parts we dont’ even know of…
>>>then you have another apple (0.12) that has infinate components too.
>>>Then you have 10 apples in a…[Read more]

>>>Some interesting maths i saw on tv the other day
>>>about inifinity [some snipped]
>>>Generally the proof that there are different sizes of infinity
>>>is that an infinity number starting with .11 is a different
>>>subset of numbers than an infinity subset starting with .12
>>>and then the superset containing both infinity numbers…[Read more]