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Galileo's Paradox

Galileo's Paradox

Though most numbers are not squares, there are no more numbers than squares.

S  -  Ep  -  1638//
High  -  min  
Though most numbers are not squares, there are no more numbers than squares. Authored by Galileo Galilei.
Galileo's paradox is a demonstration of one of the surprising properties of infinite sets. In his final scientific work, Two New Sciences, Galileo Galilei made apparently contradictory statements about the positive integers. First, some numbers are squares, while others are not; therefore, all the numbers, including both squares and non-squares, must be more numerous than just the squares. And yet, for every square there is exactly one positive number that is its square root, and for every number there is exactly one square; hence, there cannot be more of one than of the other. This is an early use, though not the first, of the idea of one-to-one correspondence in the context of infinite sets. Galileo concluded that the ideas of less, equal, and greater apply to finite sets, but not to infinite sets. In the nineteenth century, using the same methods, Cantor showed that this restriction is not necessary. It is possible to define comparisons amongst infinite sets in a meaningful way (by which definition the two sets he considers, integers and squares, have "the same size"), and that by this definition some infinite sets are strictly larger than others. It is nonetheless remarkable the extent by which Galileo anticipated later work on infinite numbers. He showed that the number of points in a line segment is the same as the number in a larger line segment, but of course he didn't discover Cantor's proof that this is greater than the number of integers. Galileo had more urgent matters in mind. He was addressing the contradictions in Zeno's paradoxes in order to open the way for his mathematical theory of motion.[1] (Naive set theory)
Game of Thrones

Game of Thrones

The Door

S 6 Ep 5 2016/05/22
TV Series Episode 54 min   TV-MA
ADV DRA FAN ROM USA
Bran (Isaac Hempstead Wright) changed the past, to create the future, that let him change the past, to create the future...
Sansa and Jon make plans. Arya is given another chance to prove herself. Jorah confesses a secret to Daenerys. Tyrion meets with a Red Priestess. Yara finds her rule tested. Bran discovers the origin of the White Walkers. See wikia article, which deals with Hodor's apparent Temporal Paradox... Hodor's disability led to his ultimate sacrifice, which in turn led to his disability, which in turn led to his ultimate sacrificeƉ Bran changed the past, to create the future, that let him change the past, to create the futureƉ Littlefinger faces the consequences of his actions. Sansa and Jon make plans. Daenerys decides Jorah's fate. An uneasy truce in Slaver's Bay doesn't withhold Tyrion from trying to improve the situation. The Ironborn choose their new ruler. Noone(Arya Stark) is given a new mission and witnesses a play. Bran learns about how the Long Night came to be but brings chaos upon his group. Wyllis holds the door.
Gandahar

Gandahar

1988/03/02
Film 83 min   PG
ADV SF France
An evil force from 1000 years in the future begins to destroy an idyllic paradise, where the citizens are in perfect harmony with nature. Starring Pierre-Marie Escourrou as Sylvain.
An evil force from 1000 years in the future begins to destroy an idyllic paradise, where the citizens are in perfect harmony with nature. Gandahar is a utopian world of rare beauty and tranquility, the result of extensive mutation and genetic experimentation. But the perfect peace is shattered when a mysterious evil force invades this idyllic serenity, turning people into stone with petrifying rays. The Council of Women hold court and decide to send Sylvain, son of Queen Ambisextra, on a mission to destroy the enemy. Together with the beautiful and adventurous Arielle, the enemy that Sylvain eventually discovers very far from his home is the ultimate failure of Gandaharian scientific experimentation. It is a giant brain known as the Metamorphis, which has created an indestructible army of metal men to destroy Gandahar. Sylvain must battle the Metamorphis, but not until 1000 years in the future.
Garfield and Friends

Garfield and Friends

U.S. Acres: Quack To The Future

S 3 Ep 10 1990/10/13
TV Series Episode 15 min   TV-Y
COM FAM
Orson yells at Wade (Howard Morris) for making a mistake and then wonders how it might effect their future.
Orson yells at Wade for making a mistake and then wonders how it might effect their future.
Garfield and Friends

Garfield and Friends

The Legend of Cactus Jupiter

S 4 Ep 60 1991/09/21
TV Series Episode 30 min   TV-Y
COM FAM USA
Cactus Jake tells the story of how if you look into a fire you can see into the future. This is what Garfield (Lorenzo Music) sees.
Cactus Jake tells the story of how if you look into a fire you can see into the future. This is what Garfield sees.
Garfield and Friends

Garfield and Friends

Once Upon A Time Warp

S 5 Ep 9 1992/10/17
TV Series Episode 15 min   TV-Y
COM FAM USA
Garfield (Lorenzo Music) travels to 1492, 1903, and the future.
Garfield travels to 1492, 1903, and the future.
The Garfield Show

The Garfield Show

Time Twist

S 1 Ep 15a 2009/12/08
TV Series Episode  -  min  
COM FAM
Garfield (Frank Welker) accidentally starts a sports car-resembling spaceship, and it takes him to frightening planets, like one ruled by cat-eating mice.
While John is shopping, an alien parks his sports-car-resembling spacecraft besides his car to get some supplies. Garfield,, who was waiting inside, chases a spider and thus accidentally enters and starts the ship. It takes him to frightening planets, like one ruled by cat-eating mice. luckily the alien has a retrieval control.
The Garfield Show

The Garfield Show

Time Master

S 1 Ep 15b 2009/12/08
TV Series Episode 24 min   TV-Y7
COM FAM USA
Garfield (Frank Welker) discovers that an old stopwatch can stop time.
Garfield discovers that an old stopwatch can stop time. He enjoys greatly manipulating feeding time and so on. The fun lasts until the watch breaks down while the world is on halt, leaving the glutton to fend for himself until he can kick-start the watch.
The Garfield Show

The Garfield Show

Cyber Mailman

S 1 Ep 7a 2011/03/07
TV Series Episode 25 min   TV-Y7
COM FAM
A short-circuit causes a virtual mailman to deliver to Jon tomorrow's mail. He thus wins the $1,000,000 lottery 42 times in a row. Then it starts going wrong. Starring Frank Welker as Garfield.
Due to Garfield's incessant mean tricks to and abuse of the mailman, the mail HQ lab selected his neighborhood for a project, the holographic mailman. While the project is explained to Jon and him, Garfield spills taco sauce into the mainframe. The short-circuit causes the virtual mailman to deliver to Jon tomorrow's mail. He thus wins the $1,000,000 lottery 42 times in a row. Then it starts going wrong.
The Garfield Show

The Garfield Show

It's About Time

S 3 Ep 13a 2012/09/18
TV Series Episode 39 min  
COM FAM
Nermal, who is jealous of Garfield (Frank Welker) for being the main character of the show, borrows a time machine to go back into the past and steal Garfield's life away.
Nermal, who is jealous of Garfield for being the main character of the show, borrows a time machine to go back into the past and steal Garfield's life away.
Gargoyles

Gargoyles

A Lighthouse In The Sea Of Time

S 2 Ep 4 1995/09/07
TV Series Episode 30 min   TV-PG
ACT ADV
While the Clan opposes MacBeth's attempt to steal the Scrolls of Merlin, Hudson (Ed Asner) gets some help from a new and highly literate friend.
While the Clan opposes MacBeth's attempt to steal the Scrolls of Merlin, Hudson gets some help from a new and highly literate friend.
Gargoyles

Gargoyles

Vows

S 2 Ep 8 1995/09/14
TV Series Episode 30 min   TV-PG
ACT ADV USA
Goliath agrees to go back in time with his enemies and Xanatos' father to the period of his old time for a wedding. Featuring Jonathan Frakes as Davis Xanatos.
Goliath agrees to go back in time with his enemies and Xanatos' father to the period of his old time for a wedding.
Gargoyles

Gargoyles

Future Tense

S 2 Ep 43 1996/04/25
TV Series Episode 30 min   TV-PG
ACT ADV
Goliath attempts to use the phoenix gate to travel through time to get to Manhattan. Featuring Jonathan Frakes as David Xanatos.
Goliath attempts to use the phoenix gate to travel through time to get to Manhattan. He arrives to find Demona has joined the clan, and is married to Brooklyn. Xanatos has the gargoyles on the run, but finds unexpected allies in the Xanatos's son. Goliath tries to find out where/when everything went wrong, and who was ultimately responsible.
Garth and Bev

Garth and Bev

S  -  Ep  -  2010/01/11
TV Series  -  min  
Ireland
Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology, with the help of their grandfather, a mystical druid with magical abilities. Created by Andrew Kavanagh.
Twitter Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology. Garth and Bev is set in the Bronze Age and centres on the adventures of Garth and his little sister Bev. Garth and Bev are no ordinary children, though; they are also time travellers. With the help of their grandfather, a mystical druid with magical abilities, they travel through time and learn how nature has influenced modern day inventions.
Garth and Bev

Garth and Bev

Rain Coat

S 1 Ep 1 2010/01/11
TV Series Episode  -  min  
Ireland
Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology, with the help of their grandfather, a mystical druid with magical abilities. Created by Andrew Kavanagh.
Twitter Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology
Garth and Bev

Garth and Bev

Air Filled Tyre

S 1 Ep 2 2010/01/11
TV Series Episode  -  min  
Ireland
Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology, with the help of their grandfather, a mystical druid with magical abilities. Created by Andrew Kavanagh.
Twitter Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology.
Garth and Bev

Garth and Bev

Hot Air Balloon

S 1 Ep 3 2010/01/13
TV Series Episode  -  min  
Ireland
Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology, with the help of their grandfather, a mystical druid with magical abilities. Created by Andrew Kavanagh.
Twitter Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology.
Garth and Bev

Garth and Bev

Flush Toilet

S 1 Ep 4 2010/01/14
TV Series Episode  -  min  
Ireland
Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology, with the help of their grandfather, a mystical druid with magical abilities. Created by Andrew Kavanagh.
Twitter Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology
Garth and Bev

Garth and Bev

Light Bulb

S 1 Ep 5 2010/01/15
TV Series Episode  -  min  
Ireland
Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology, with the help of their grandfather, a mystical druid with magical abilities. Created by Andrew Kavanagh.
Twitter Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology.
Garth and Bev

Garth and Bev

Paper

S 1 Ep 6 2010/01/18
TV Series Episode  -  min  
Ireland
Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology, with the help of their grandfather, a mystical druid with magical abilities. Created by Andrew Kavanagh.
Twitter Cartoon for preschoolers where two Bronze Age kids are sent by a druid around time to discover how nature has influenced technology.
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