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Is "zero" a number?

Is "zero" a number  

27 members have voted

  1. 1. Is "zero" a number

    • Yes
      24
    • No
      3


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Reminds me of a topic in a philosophy class I had. You could never get from point A to point B. The reason is that at any measured distance between A and B there his a halfway point. You could never get all the way to zero measurement between A and B because at however small of a distance there is mathematically something smaller.

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Reminds me of a topic in a philosophy class I had. You could never get from point A to point B. The reason is that at any measured distance between A and B there his a halfway point. You could never get all the way to zero measurement between A and B because at however small of a distance there is mathematically something smaller.

Not in a purely digital world.

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It is not a number. It is a placeholder for instances of an absence of number.

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It is not a number. It is a placeholder for instances of an absence of number.

yes, just like white is not a color, its the absence of all color

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yes, just like white is not a color, its the absence of all color

The absence of color is black.

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What I was referring was Zeno's dichotomy paradox.

Zeno's paradoxes - Wikipedia, the free encyclopedia

Suppose Homer wants to catch a stationary bus. Before he can get there, he must get halfway there. Before he can get halfway there, he must get a quarter of the way there. Before traveling a quarter, he must travel one-eighth; before an eighth, one-sixteenth; and so on.

H-\frac{B}{8}-\frac{B}{4}---\frac{B}{2}-------B

The resulting sequence can be represented as:

\left\{ \cdots, \frac{1}{16}, \frac{1}{8}, \frac{1}{4}, \frac{1}{2}, 1 \right\}

This description requires one to complete an infinite number of tasks, which Zeno maintains is an impossibility.

This sequence also presents a second problem in that it contains no first distance to run, for any possible (finite) first distance could be divided in half, and hence would not be first after all. Hence, the trip cannot even begin. The paradoxical conclusion then would be that travel over any finite distance can neither be completed nor begun, and so all motion must be an illusion.

This argument is called the Dichotomy because it involves repeatedly splitting a distance into two parts. It contains some of the same elements as the Achilles and the Tortoise paradox, but with a more apparent conclusion of motionlessness. It is also known as the Race Course paradox. Some, like Aristotle, regard the Dichotomy as really just another version of Achilles and the Tortoise.[10]

There are two versions of the dichotomy paradox. In the other version, before Homer could reach the stationary bus, he must reach half of the distance to it. Before reaching the last half, he must complete the next quarter of the distance. Reaching the next quarter, he must then cover the next eighth of the distance, then the next sixteenth, and so on. There are thus an infinite number of steps that must first be accomplished before he could reach the bus, with no way to establish the size of any "last" step. Expressed this way, the dichotomy paradox is very much analogous to that of Achilles and the tortoise

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It is not a number. It is a placeholder for instances of an absence of number.

The numeral representing 0 means that in the context of place value numeration systems like our Hindu-Arabic system.

Zero is a number.

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Reminds me of a topic in a philosophy class I had. You could never get from point A to point B. The reason is that at any measured distance between A and B there his a halfway point. You could never get all the way to zero measurement between A and B because at however small of a distance there is mathematically something smaller.

The problem with this philosophical idea is that, assuming the travel speed stays the same, then each "half distance" becomes an smaller an smaller bit of time until it is infinitely small, meaning the last distance, which is infinitely small, is traveled instantly. So you do make it to point B.

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Zero is a number and not a placeholder. 19 - ___ does not equal 19 - 0. Furthermore, a number would not be provided all of the values we provide numbers followed by zeroes. when we count to don't say "17, 18, 19, that number that starts with a 2 and is less than 21, 21, 22, etc.

It clearly defines a unit of measurement. Also, look at it after a decimal point. If it was not a number, then wouldn't 1.9 be the same as 1.90? Those numbers are not the same, but if zero isn't a number, you would have to argue they are the same...right?

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Zero is a number and not a placeholder. 19 - ___ does not equal 19 - 0. Furthermore, a number would not be provided all of the values we provide numbers followed by zeroes. when we count to don't say "17, 18, 19, that number that starts with a 2 and is less than 21, 21, 22, etc.

It clearly defines a unit of measurement. Also, look at it after a decimal point. If it was not a number, then wouldn't 1.9 be the same as 1.90? Those numbers are not the same, but if zero isn't a number, you would have to argue they are the same...right?

1.9 and 1.09 was probably meant here.

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1.9 and 1.09 was probably meant here.

nope, meant 1.9 and 1.90, they are not the same.

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1.9 and 1.09 was probably meant here.
Bah, that zero is still just a placeholder for the "tenths" spot! Just another way of representing 1 and 9/100ths !! :rambo:

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Bah, that zero is still just a placeholder for the "tenths" spot! Just another way of representing 1 and 9/100ths !! :rambo:

That digit is holding a place. We could put a photograph of Antrat in that place and as long as we all agreed to that convention it would still make sense.

It does represent the number 0 times 1/10.

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