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Infinity in 5 Minutes Lance Bledsoe

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Page 1: Bledsoe.infinity.ignite raleigh

Infinity in 5 MinutesLance Bledsoe

Page 2: Bledsoe.infinity.ignite raleigh

Infinity in 5 MinutesLance Bledsoe

Page 3: Bledsoe.infinity.ignite raleigh

Infinity in 5 MinutesLance Bledsoe

Page 4: Bledsoe.infinity.ignite raleigh

Calculus

Page 5: Bledsoe.infinity.ignite raleigh

Calculus

Page 6: Bledsoe.infinity.ignite raleigh

Calculus

Page 7: Bledsoe.infinity.ignite raleigh

Georg Cantor, 1845-1918

Eric Cantor, House Majority Leader

Page 8: Bledsoe.infinity.ignite raleigh

Georg Cantor, 1845-1918

Eric Cantor, House Majority Leader

Page 9: Bledsoe.infinity.ignite raleigh

1 2 3 4 5 67 8 ……

Infinite Sets

Whole Numbers(Odds + Evens)

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

Even Numbers

Page 10: Bledsoe.infinity.ignite raleigh

1 2 3 4 5 67 8 ……

Infinite Sets

Whole Numbers(Odds + Evens)

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

Even Numbers

Page 11: Bledsoe.infinity.ignite raleigh

1 2 3 4 5 67 8 ……

Infinite Sets

Whole Numbers(Odds + Evens)

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

Even Numbers

Page 12: Bledsoe.infinity.ignite raleigh

1 2 3 4 5 67 8 ……

Infinite Sets

Whole Numbers(Odds + Evens)

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

Even Numbers

Page 13: Bledsoe.infinity.ignite raleigh

“Real” numbers

19

√2 ½

π 6.847

1 2 3 4 5 67 8 ……

Whole Numbers

Page 14: Bledsoe.infinity.ignite raleigh

“Real” numbers

19

√2 ½

π 6.847

1 2 3 4 5 67 8 ……

Whole Numbers

Page 15: Bledsoe.infinity.ignite raleigh

“Real” numbers

19

√2 ½

π 6.847

1 2 3 4 5 67 8 ……

Whole Numbers

Page 16: Bledsoe.infinity.ignite raleigh

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”

Page 17: Bledsoe.infinity.ignite raleigh

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”

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Lance Bledsoewww.lancebledsoe.com

[email protected]

Twitter: @bledsoe