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The last post is the WINNER!

Stevicus

Veteran Member
Staff member
Premium Member
I did find a picture of Univac but it won't download....

I think they should have gone with the Uniblab instead of the Univac, even though it did have some bugs in it. And it also ran crooked poker games.

jetson-uniblab-sm.jpeg
 

sun rise

The world is on fire
Premium Member
I think they should have gone with the Uniblab instead of the Univac, even though it did have some bugs in it. And it also ran crooked poker games.

jetson-uniblab-sm.jpeg
I actually wrote a 5 card stud game for the 1401. You bet by flipping sense switches. There's nothing like gaming.
 

Polymath257

Think & Care
Staff member
Premium Member
I beg to disagree. Or really I'm not begging at all. 8.999. is infinitely close to 9 without being exactly nine.

Shall we debate Zeno's paradox? ;):D:eek:

Nope, 8.999... is exactly equal to 9. Just like .333... is exactly equal to 1/3.

The point is the *meaning* of an infinite decimal. The meaning of the infinite decimal is the thing that each of 8.9, 8.99, 8.999, etc approximate closer as we take more and more decimals. It is the limit of the partial expansions. None of the finite decimals are equal to what the infinite decimal means.

There is nothing 'infinitely close' to 9 that is not 9.

Zeno' paradoxes are ultimately a misunderstanding about infinite sets. For example, in the parable of Achilles and the tortoise, the times as well as the distances converge and you get the time at which the two are in the same spot.
 

Revoltingest

Pragmatic Libertarian
Premium Member
Nope, 8.999... is exactly equal to 9. Just like .333... is exactly equal to 1/3.

The point is the *meaning* of an infinite decimal. The meaning of the infinite decimal is the thing that each of 8.9, 8.99, 8.999, etc approximate closer as we take more and more decimals. It is the limit of the partial expansions. None of the finite decimals are equal to what the infinite decimal means.

There is nothing 'infinitely close' to 9 that is not 9.

Zeno' paradoxes are ultimately a misunderstanding about infinite sets. For example, in the parable of Achilles and the tortoise, the times as well as the distances converge and you get the time at which the two are in the same spot.
The real world example might convince the skeptics.
When Bob goes from point A to point B, he'll cover
1/2 the distance. Then he'll cover half of the remaining
distance. This will continue with an infinite series of
1/2 of the remaining distance. Yet we know that this
infinite series is exactly equal to the distance between
points A & B because Bob arrives at his destination.
 

Shadow Wolf

Certified People sTabber & Business Owner
I don't think im over generalising, my hypothesis is that men see bbqs as a macho thing like huntin', shootin' and fishin
Seems so. Though it's unfortunate because BBQ is just another method of cooking and fishing is an excuse to be with friends and also just happen to catch a tasty dinner while your already having a good time.
And of course men think shooting guns is manly, but I say it's for weenies who can't muster a higher degree of skill and mental focus to shoot a bow.
 

sun rise

The world is on fire
Premium Member
There is nothing 'infinitely close' to 9 that is not 9.

Zeno' paradoxes are ultimately a misunderstanding about infinite sets. For example, in the parable of Achilles and the tortoise, the times as well as the distances converge and you get the time at which the two are in the same spot.

To be clear Zeno’s Paradoxes (Stanford Encyclopedia of Philosophy) I'm referring to the Paradox of Motion/Dichotomy. If I'm walking between two places labeled "8" and "9" with tiny markers labled "8.5", "8.75" and so forth. Then I continually cover 1/2 the distance to get to "9", I'll eventually get to a marker "8.9999..." very close to "9", to be sure, but never at "9"

But I have an even bigger paradox. Why is it that offhand jokes in an RF thread provoke detailed technical responses designed to falsify the joke?

Maybe we should just declare this discussion irrational and split some pi with me getting an infinitesimally larger portion than you. :eek:o_O;):p
 

Polymath257

Think & Care
Staff member
Premium Member
To be clear Zeno’s Paradoxes (Stanford Encyclopedia of Philosophy) I'm referring to the Paradox of Motion/Dichotomy. If I'm walking between two places labeled "8" and "9" with tiny markers labled "8.5", "8.75" and so forth. Then I continually cover 1/2 the distance to get to "9", I'll eventually get to a marker "8.9999..." very close to "9", to be sure, but never at "9"

Yes, and the time to get those distances also decreases by half at each stage. In the limit, you get to 9 in finite time.


And yes, 8.999... = 9.

But I have an even bigger paradox. Why is it that offhand jokes in an RF thread provoke detailed technical responses designed to falsify the joke?

it's a point that a LOT of people don't understand and I try to address it whenever it comes up.

Maybe we should just declare this discussion irrational and split some pi with me getting an infinitesimally larger portion than you. :eek:o_O;):p

Oh, I have found this to be a transcendental experience.
 

ChristineM

"Be strong", I whispered to my coffee.
Premium Member
The infinite decimal is the limit of the finite decimals. That limit is 9.

So 8.999. is not the infinite decimal then?

I know infinity is a maths thing. I'm more a science person and invoking infinite means something has gone wrong
 

Polymath257

Think & Care
Staff member
Premium Member
So 8.999. is not the infinite decimal then?

Yes, it is. And that infinite decimal is another way of writing the number 9.

I know infinity is a maths thing. I'm more a science person and invoking infinite means something has gone wrong

Not when talking about infinite decimals, which are required to talk about irrationality, for example. Remember that even 1/3 is represented by an infinite decimal.
 

ChristineM

"Be strong", I whispered to my coffee.
Premium Member
Yes, it is. And that infinite decimal is another way of writing the number 9.



Not when talking about infinite decimals, which are required to talk about irrationality, for example. Remember that even 1/3 is represented by an infinite decimal.


1/3 is 0.333... 8.999... is 8.999. 9 is 9.

Or is 0.333... another way of writing 9?

.
 

Polymath257

Think & Care
Staff member
Premium Member
1/3 is 0.333... 8.999... is 8.999. 9 is 9.

Or is 0.333... another way of writing 9?

.


No, .333... is another way of writing 1/3.

.9999999.... is another way of writing 1.

And 8.9999.... is another way of writing 9.

Simple thing to notice:

take 1/3=.33333...
and multiply both sides by 3 to get

1=.9999.....
 

ChristineM

"Be strong", I whispered to my coffee.
Premium Member
No, .333... is another way of writing 1/3.

.9999999.... is another way of writing 1.

And 8.9999.... is another way of writing 9.

Simple thing to notice:

take 1/3=.33333...
and multiply both sides by 3 to get

1=.9999.....

I just don't get that 0.999. equals 1

Or that 8.999. equals 9

Except in infinity and as i said when you invoke infinity something has gone wrong
 
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