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04-29-2007, 09:30 PM
Re: Logic and Mathematics

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Both Lloyd? Perhaps you could help us wayward souls in a yellow wood where two roads diverge. Mr. Frost and I as well as many others would like to take both and don't know how.

ROAD LESS TRAVELED

How??

MJA

As you study both, or all, you travel both, or all, do you not? Then the true path lights its own direction...

Lloyd
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"To develop the skill of correct thinking is in the first place to learn what you have to disregard. In order to go on, you have to know what to leave out; this is the essence of effective thinking." Kurt Godel
"Time and space are modes in which we think and not conditions in which we live." Albert Einstein
"The uncertainty principle is an absolute, finite, universal constant." L.G.
"The tick-tick-tick of the cesium atom is a sliding-time-scaler constant of all finite universal motion." L.G.
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09-12-2007, 02:50 AM
Re: Logic and Mathematics

Yeah thats pretty interesting and the

suggestion sounds great indeed.Well

thanks for the information.
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09-12-2007, 12:55 PM
Re: Logic and Mathematics

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As you study both, or all, you travel both, or all, do you not? Then the true path lights its own direction...

Lloyd
...and that path or light of truth is ONE!

Well done Lloyd.

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09-12-2007, 05:14 PM
Re: Logic and Mathematics

I had asked another math teacher here, ProPat, to have a go at explaining some of the rebuttals regarding .999 being equal to 1. Perhaps you can have a go at it, Brian?
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09-13-2007, 09:50 PM
Re: Logic and Mathematics

Verdy, verdy bad interpretation of my statement, MJA... If your one be true, explain scientifically how it splits into the many...

Lloyd

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...and that path or light of truth is ONE!

Well done Lloyd.

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"To develop the skill of correct thinking is in the first place to learn what you have to disregard. In order to go on, you have to know what to leave out; this is the essence of effective thinking." Kurt Godel
"Time and space are modes in which we think and not conditions in which we live." Albert Einstein
"The uncertainty principle is an absolute, finite, universal constant." L.G.
"The tick-tick-tick of the cesium atom is a sliding-time-scaler constant of all finite universal motion." L.G.
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09-13-2007, 09:52 PM
Re: Logic and Mathematics

Sure Nobody, it's one .999, but .999 is never 1.

Lloyd

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Originally Posted by N0B0DY View Post
I had asked another math teacher here, ProPat, to have a go at explaining some of the rebuttals regarding .999 being equal to 1. Perhaps you can have a go at it, Brian?
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"To develop the skill of correct thinking is in the first place to learn what you have to disregard. In order to go on, you have to know what to leave out; this is the essence of effective thinking." Kurt Godel
"Time and space are modes in which we think and not conditions in which we live." Albert Einstein
"The uncertainty principle is an absolute, finite, universal constant." L.G.
"The tick-tick-tick of the cesium atom is a sliding-time-scaler constant of all finite universal motion." L.G.
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09-14-2007, 01:05 AM
Re: Logic and Mathematics

I agree, Lloyd, but mathematicians don't agree with each other and I wanted to know if there is presently a leaning to one side or the other.

Some of the arguments are as follows:

"In mathematics, the recurring decimal 0.999… , denotes a real number equal to 1. In other words, "0.999…" represents the same number as the symbol "1". The equality has long been accepted by professional mathematicians and taught in textbooks. Various proofs of this identity have been formulated with varying rigour, preferred development of the real numbers, background assumptions, historical context, and target audience."

http://en.wikipedia.org/wiki/.999
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09-14-2007, 09:51 AM
Re: Logic and Mathematics

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Verdy, verdy bad interpretation of my statement, MJA... If your one be true, explain scientifically how it splits into the many...

Lloyd
The proof of nature's equality or oneness is nature itself.

Nature is one.

Faith in science or measure is the flaw of difference, that divides or "splits".

Study nature without measure for the ultimate truth.

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09-14-2007, 12:45 PM
Re: Logic and Mathematics

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I agree, Lloyd, but mathematicians don't agree with each other and I wanted to know if there is presently a leaning to one side or the other.

Some of the arguments are as follows:

"In mathematics, the recurring decimal 0.999… , denotes a real number equal to 1. In other words, "0.999…" represents the same number as the symbol "1". The equality has long been accepted by professional mathematicians and taught in textbooks. Various proofs of this identity have been formulated with varying rigour, preferred development of the real numbers, background assumptions, historical context, and target audience."

http://en.wikipedia.org/wiki/.999
When I viewed the link http://en.wikipedia.org/wiki/.999 . The first and the whole paragraph really states exactly as what was quoted above.

However, the last paragraph (as a conclusion) in that web page states that "Number systems in which 0.999… is strictly less than 1 can be constructed, but only outside the standard real number system which is used in elementary mathematics."

Sorry to point out that the wikipedia page concludes that "0.999… is strictly less than 1 can be constructed (despite only outside standard real number system or outside elementary mathematics).

I also don't understand the following operations.
If 0.999... = 1 , then after exchanging the left & the right hand side, 1 = 0.999... .
When both side divided by 1, then it comes out 1/1 = 0.999.../1 , then the right hand side = 0.999... ,
however, normally, 1/1 or 2/2 or n/n all simply = 1, not 0.999... .

Best Regards. Bottomlander
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09-14-2007, 01:00 PM
Re: Logic and Mathematics

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The proof of nature's equality or oneness is nature itself.

Nature is one.

Faith in science or measure is the flaw of difference, that divides or "splits".

Study nature without measure for the ultimate truth.

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MJA
MJA, your metaphysics belongs to the psychological laws of self, and physics belongs to the laws of science, and the two are only unitable under the physical laws of all___The ultimate truth system of multiple law systems.

Lloyd
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"To develop the skill of correct thinking is in the first place to learn what you have to disregard. In order to go on, you have to know what to leave out; this is the essence of effective thinking." Kurt Godel
"Time and space are modes in which we think and not conditions in which we live." Albert Einstein
"The uncertainty principle is an absolute, finite, universal constant." L.G.
"The tick-tick-tick of the cesium atom is a sliding-time-scaler constant of all finite universal motion." L.G.
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