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originally posted by: PhoenixOD
I think there are a couple of problems to this theory.
First off the amount of matter that is contained in the universe is not infinite.
Secondly due to entropy all the matter that is in the universe will eventually decay and break apart so that even is the universe did last forever the matter contained in it would not have an infinite amount of time to put itself together in different ways. So using the deck of cards analogy provided in the video, the deck might wear out and break apart before every single combination was reached , even if there was an infinite amount out time.
Third even with an infinite amount of time and entropy did not happen (which is impossible) certain combinations may never be reached. I got into a very deep discussion about this at a maths a philosophy forum one time. The people there eventually proved to me that not all combinations can be reached using a binary table, it took me a long time to get my head round it. Just cant remember the mathematician that proved this, though i have a feeling it may have been Cantor. He was the guy that proved some infinities are larger than others..try getting your head around that one lol
originally posted by: DenyFlatulence
Veddy nice!!
Send your audio clip to Rev. Ivan Stang.
Def slack worthy.
First off the amount of matter that is contained in the universe is not infinite.
Secondly due to entropy all the matter that is in the universe will eventually decay and break apart so that even is the universe did last forever the matter contained in it would not have an infinite amount of time to put itself together in different ways. So using the deck of cards analogy provided in the video, the deck might wear out and break apart before every single combination was reached , even if there was an infinite amount out time.
Third even with an infinite amount of time and entropy did not happen (which is impossible) certain combinations may never be reached. I got into a very deep discussion about this at a maths a philosophy forum one time. The people there eventually proved to me that not all combinations can be reached using a binary table, it took me a long time to get my head round it. Just cant remember the mathematician that proved this, though i have a feeling it may have been Cantor. He was the guy that proved some infinities are larger than others..try getting your head around that one lol
originally posted by: keenasbro
a reply to: Mr Mask
Thumbs up again Mr Mask. I had no hesitation clicking on your thread this time. The content is way over my head but you know what, I learnt something from the video, now I'm an old git, so I can see kids benefiting from this type of video.
When I was at school, wayyy back in the dark ages, using ink wells and nibbed pens, we were taught "Religious instruction" (as it was called) the teacher was trying to get a classroom full of kids (about 40) to learn the books of the old and new testament, he achieved this by adding a tune, so in affect he turned it into a song. Genesis , Exodus, Leviticus, Numbers and so on.
All forty kids, knew all the books in sequence.
What you have presented reminded me of this. Could be a great teaching aid, well done again.
originally posted by: Trueman
a reply to: Mr Mask
Me and the guy on the right side of the screen got no clue what you said, but it sounds smart.
As for "infinity" and sets of infinity being larger than another, that is actually not true. Cantor's Theorem dealing with "set theory" states nothing of the kind. In fact, set theory reveals quite the opposite in mathematics. The math behind set theory of magnitudes (or sets) of infinity plainly show that one infinity-set is exactly the same size as a trillion infinity-sets.
In set theory, Cantor's diagonal argument, also called the diagonalisation argument, the diagonal slash argument or the diagonal method, was published in 1891 by Georg Cantor as a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers.[1] Such sets are now known as uncountable sets, and the size of infinite sets is now treated by the theory of cardinal numbers which Cantor began.
The diagonal argument was not Cantor's first proof of the uncountability of the real numbers; it was actually published much later than his first proof, which appeared in 1874.[2] However, it demonstrates a powerful and general technique that has since been used in a wide range of proofs, also known as diagonal arguments by analogy with the argument used in this proof. The most famous examples are perhaps Russell's paradox, the first of Gödel's incompleteness theorems, and Turing's answer to the Entscheidungsproblem.
originally posted by: PhoenixOD
a reply to: Mr Mask
As for "infinity" and sets of infinity being larger than another, that is actually not true. Cantor's Theorem dealing with "set theory" states nothing of the kind. In fact, set theory reveals quite the opposite in mathematics. The math behind set theory of magnitudes (or sets) of infinity plainly show that one infinity-set is exactly the same size as a trillion infinity-sets.
Sorry you dont understand how this maths works. Its far more complex than adding one infinity to another. That makes no difference to the outcome because infinity is not a number and so you can not multiply it or add to it. Its just an idea , a concept. Buuut... Cantor did prove that some infinities are larger than others.
Take a circle for example, it is made of an infinite amount of points. Now draw lines from the center to those points. Now draw a much larger circle around the first one and extend those lines beyond the first circle to meet the edge of the larger second circle. You then would have gaps between the lines on the edge of the second circle. So the larger circle contains a larger infinite set than the first. This is just one of the easiest examples to explain and i may not have worded it a specifically as the original but the imagery it there.
Infinity is bigger than you think - Numberphile
The Hilbert Hotel example (not cantors theory but another good example)
Some Infinities Are Larger Than Others: The Tragic Story of a Math Heretic
Cantor was the guy that proved that not all combinations can be reached , its called Cantor's Diagonal Argument.
In set theory, Cantor's diagonal argument, also called the diagonalisation argument, the diagonal slash argument or the diagonal method, was published in 1891 by Georg Cantor as a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers.[1] Such sets are now known as uncountable sets, and the size of infinite sets is now treated by the theory of cardinal numbers which Cantor began.
The diagonal argument was not Cantor's first proof of the uncountability of the real numbers; it was actually published much later than his first proof, which appeared in 1874.[2] However, it demonstrates a powerful and general technique that has since been used in a wide range of proofs, also known as diagonal arguments by analogy with the argument used in this proof. The most famous examples are perhaps Russell's paradox, the first of Gödel's incompleteness theorems, and Turing's answer to the Entscheidungsproblem.
en.wikipedia.org...
So Cantor DID prove that some infinities are larger than others, there's is just no arguing that. Its one of the biggest paradox's in maths and Cantor went mad thinking about it and ended his days in a mental institution.
originally posted by: PhoenixOD
As for particles that just pop into existence they are instantly annihilated by their anti versions so don't last for any amount of time. Matter form the past is destroyed in the present by anti-matter from the future etc etc..
Don't get me wrong i do like your video.
originally posted by: PhoenixOD
a reply to: Mr Mask
As for "infinity" and sets of infinity being larger than another, that is actually not true. Cantor's Theorem dealing with "set theory" states nothing of the kind. In fact, set theory reveals quite the opposite in mathematics. The math behind set theory of magnitudes (or sets) of infinity plainly show that one infinity-set is exactly the same size as a trillion infinity-sets.
Sorry you dont understand how this maths works. Its far more complex than adding one infinity to another. That makes no difference to the outcome because infinity is not a number and so you can not multiply it or add to it. Its just an idea , a concept. Buuut... Cantor did prove that some infinities are larger than others.
Take a circle for example, it is made of an infinite amount of points. Now draw lines from the center to those points. Now draw a much larger circle around the first one and extend those lines beyond the first circle to meet the edge of the larger second circle. You then would have gaps between the lines on the edge of the second circle. So the larger circle contains a larger infinite set than the first. This is just one of the easiest examples to explain and i may not have worded it a specifically as the original but the imagery it there.
Infinity is bigger than you think - Numberphile
The Hilbert Hotel example (not cantors theory but another good example)
Some Infinities Are Larger Than Others: The Tragic Story of a Math Heretic
Cantor was the guy that proved that not all combinations can be reached , its called Cantor's Diagonal Argument.
In set theory, Cantor's diagonal argument, also called the diagonalisation argument, the diagonal slash argument or the diagonal method, was published in 1891 by Georg Cantor as a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers.[1] Such sets are now known as uncountable sets, and the size of infinite sets is now treated by the theory of cardinal numbers which Cantor began.
The diagonal argument was not Cantor's first proof of the uncountability of the real numbers; it was actually published much later than his first proof, which appeared in 1874.[2] However, it demonstrates a powerful and general technique that has since been used in a wide range of proofs, also known as diagonal arguments by analogy with the argument used in this proof. The most famous examples are perhaps Russell's paradox, the first of Gödel's incompleteness theorems, and Turing's answer to the Entscheidungsproblem.
en.wikipedia.org...
So Cantor DID prove that some infinities are larger than others, there's is just no arguing that. Its one of the biggest paradox's in maths and Cantor went mad thinking about it and ended his days in a mental institution.
originally posted by: VitalOverdose
originally posted by: PhoenixOD
a reply to: Mr Mask
As for "infinity" and sets of infinity being larger than another, that is actually not true. Cantor's Theorem dealing with "set theory" states nothing of the kind. In fact, set theory reveals quite the opposite in mathematics. The math behind set theory of magnitudes (or sets) of infinity plainly show that one infinity-set is exactly the same size as a trillion infinity-sets.
Sorry you dont understand how this maths works. Its far more complex than adding one infinity to another. That makes no difference to the outcome because infinity is not a number and so you can not multiply it or add to it. Its just an idea , a concept. Buuut... Cantor did prove that some infinities are larger than others.
Take a circle for example, it is made of an infinite amount of points. Now draw lines from the center to those points. Now draw a much larger circle around the first one and extend those lines beyond the first circle to meet the edge of the larger second circle. You then would have gaps between the lines on the edge of the second circle. So the larger circle contains a larger infinite set than the first. This is just one of the easiest examples to explain and i may not have worded it a specifically as the original but the imagery it there.
Infinity is bigger than you think - Numberphile
The Hilbert Hotel example (not cantors theory but another good example)
Some Infinities Are Larger Than Others: The Tragic Story of a Math Heretic
Cantor was the guy that proved that not all combinations can be reached , its called Cantor's Diagonal Argument.
In set theory, Cantor's diagonal argument, also called the diagonalisation argument, the diagonal slash argument or the diagonal method, was published in 1891 by Georg Cantor as a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers.[1] Such sets are now known as uncountable sets, and the size of infinite sets is now treated by the theory of cardinal numbers which Cantor began.
The diagonal argument was not Cantor's first proof of the uncountability of the real numbers; it was actually published much later than his first proof, which appeared in 1874.[2] However, it demonstrates a powerful and general technique that has since been used in a wide range of proofs, also known as diagonal arguments by analogy with the argument used in this proof. The most famous examples are perhaps Russell's paradox, the first of Gödel's incompleteness theorems, and Turing's answer to the Entscheidungsproblem.
en.wikipedia.org...
So Cantor DID prove that some infinities are larger than others, there's is just no arguing that. Its one of the biggest paradox's in maths and Cantor went mad thinking about it and ended his days in a mental institution.
I remember watching a documentary about Cantor and how he proved some infinities are larger than others. Its brain twisting stuff