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Infinity in 5 MinutesLance Bledsoe

Infinity in 5 MinutesLance Bledsoe

Infinity in 5 MinutesLance Bledsoe

Calculus

Calculus

Calculus

Georg Cantor, 1845-1918

Eric Cantor, House Majority Leader

Georg Cantor, 1845-1918

Eric Cantor, House Majority Leader

1 2 3 4 5 67 8 ……

Infinite Sets

Whole Numbers(Odds + Evens)

2 4 6 8 10 12 14 16 .....

Even Numbers

1 2 3 4 5 67 8 ……

Infinite Sets

Whole Numbers(Odds + Evens)

2 4 6 8 10 12 14 16 .....

Even Numbers

1 2 3 4 5 67 8 ……

Infinite Sets

Whole Numbers(Odds + Evens)

2 4 6 8 10 12 14 16 .....

Even Numbers

1 2 3 4 5 67 8 ……

Infinite Sets

Whole Numbers(Odds + Evens)

2 4 6 8 10 12 14 16 .....

Even Numbers

“Real” numbers

19

√2 ½

π 6.847

1 2 3 4 5 67 8 ……

Whole Numbers

“Real” numbers

19

√2 ½

π 6.847

1 2 3 4 5 67 8 ……

Whole Numbers

“Real” numbers

19

√2 ½

π 6.847

1 2 3 4 5 67 8 ……

Whole Numbers

So what you’re saying is that the set of all whole numbers is infinite, and the set of all real numbers is

infinite, but the set of real numbers is somehow MORE infinite than the set of whole numbers?

And Cantor said, “Yep.”

“countably infinite” vs. “uncountably infinite”

So what you’re saying is that the set of all whole numbers is infinite, and the set of all real numbers is

infinite, but the set of real numbers is somehow MORE infinite than the set of whole numbers?

And Cantor said, “Yep.”

“countably infinite” vs. “uncountably infinite”

Lance Bledsoewww.lancebledsoe.com

lance@lancebledsoe.com

Twitter: @bledsoe

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