Is knowledge Infinite?

[studiot]

I've no idea what I am to make of your link to a korean boy band.

 

There is a difference between being unlimited and encompassing everything.

[John Cuthber]

This

"infinite
ˈɪnfɪnɪt/Submit
adjective
1.
limitless or endless in space, extent, or size; impossible to measure or calculate.
"the infinite mercy of God"
synonyms: boundless, unbounded, unlimited, limitless, without limit, without end, never-ending, interminable, cosmic; More
countless, uncountable, inestimable, indeterminable, innumerable, numberless, immeasurable, incalculable, untold, very many;
great, vast, enormous, immense, prodigious, multitudinous;
rareinnumerous, unnumberable
antonyms: limited, small
very great in amount or degree.
"he bathed the wound with infinite care"
synonyms: very great, immense, supreme, absolute, total, real; More
antonyms: very little
MATHEMATICS
greater than any assignable quantity or countable number.
MATHEMATICS
(of a series) able to be continued indefinitely.
2.
GRAMMAR
another term for non-finite.
noun
noun: infinite
1.
a space or quantity that is infinite.
"beyond the infinite, the space traveller is transformed"
God.
noun: Infinite; noun: the Infinite
"intimations of the infinite"
Origin

late Middle English: from Latin infinitus, from in- ‘not’ + finitus ‘finished, finite’ (see finite).
Translate infinite to
Use over time for: infinite"

is not a Korean boy band.

What do other people see when they click the link I gave?

[studiot]

 

Studiot

There is a difference between being unlimited and encompassing everything.

 

John Cuthber

<all post#15>

The set of all real numbers between 0 and 1 is bounded below by 0 and bounded above by 1; it is limited.

 

Is this set finite or infinite?

 

Is the x axis finite or infinite?

Yet the x axis does not include any numbers on the y axis and neither include any numbers that are in the quadrants between the axes.

 

You need a better definition of infinite.

Edited July 30, 2014 by studiot

[Ten oz]

This

"infinite

ˈɪnfɪnɪt/Submit

adjective

1.

limitless or endless in space, extent, or size; impossible to measure or calculate.

"the infinite mercy of God"

synonyms: boundless, unbounded, unlimited, limitless, without limit, without end, never-ending, interminable, cosmic; More

countless, uncountable, inestimable, indeterminable, innumerable, numberless, immeasurable, incalculable, untold, very many;

great, vast, enormous, immense, prodigious, multitudinous;

rareinnumerous, unnumberable

antonyms: limited, small

very great in amount or degree.

"he bathed the wound with infinite care"

synonyms: very great, immense, supreme, absolute, total, real; More

antonyms: very little

MATHEMATICS

greater than any assignable quantity or countable number.

MATHEMATICS

(of a series) able to be continued indefinitely.

2.

GRAMMAR

another term for non-finite.

noun

noun: infinite

1.

a space or quantity that is infinite.

"beyond the infinite, the space traveller is transformed"

God.

noun: Infinite; noun: the Infinite

"intimations of the infinite"

Origin

late Middle English: from Latin infinitus, from in- ‘not’ + finitus ‘finished, finite’ (see finite).

Translate infinite to

Use over time for: infinite"

is not a Korean boy band.

What do other people see when they click the link I gave?

Good post!

There is difference between "impossible to measure or calculate" and the mathematical meanings of "greater than any assignable quantity or countable number"; "able to be continued indefinitely". I feel like this discussion has treated it all the same.

 

As humans we are finite. Both in numbers and mortality. Knowledge is a human concept which in my opinion makes it as finite as we are. While it is true that knowledge is beyond our ability to measure or calculate; it is also true that we don't have all the variables. We can not account for future knowledge. It is not provably because it is greater than any assignable number or continues indefinitely. The math example posters are using of 1 + 1 = 2 and that repeats indefinitely doesnt work in my opinion. How do we know it continues forever? Just as speed has an upper limit perhaps numbers do as well? Again, not having the information to assign or measure doesn't automatically equal infinity.

[studiot]

 

How do we know it continues forever? Just as speed has an upper limit perhaps numbers do as well?

 

 

Because that was proven over two thousand years ago by the ancient Greeks.

 

It is considered an elementary proof in number theory.

 

There is no 'perhaps' about it.

[John Cuthber]

Just as speed has an upper limit perhaps numbers do as well?

No, because you could add one to that "upper limit" and get a bigger number.

 

Seriously? You didn't spot that?

Edited July 30, 2014 by John Cuthber

[Ten oz]

No, because you could add one to that "upper limit" and get a bigger number.

 

Seriously? You didn't spot that?

Sure you can add one to the speed of light but the number would be a fictitious one as it isn't possible. Knowledge references real things right?

[studiot]

 

Ten oz

Knowledge references real things right?

 

 

Why so?

 

And that also begs the question what is real?

We had a long discussion about that here recently.

 

Before it was built, was the Sydney Harbour Bridge real?

And did the designers have any knowledge of it, at that pre construction time?

 

Or how about Hogwarts., Narnia or The Shire?

Hundreds of millions of people have knowledge of these fictitious places.

Edited July 30, 2014 by studiot

[John Cuthber]

Sure you can add one to the speed of light but the number would be a fictitious one as it isn't possible. Knowledge references real things right?

Yes, and this tells you how to add them if you want the right answer in the real world.

http://hyperphysics.phy-astr.gsu.edu/hbase/relativ/einvel.html

[Ten oz]

Yes, and this tells you how to add them if you want the right answer in the real world.

http://hyperphysics.phy-astr.gsu.edu/hbase/relativ/einvel.html

Good stuff.