Mathematicians
Definitions
Potpourri
100
How did Newton try to prove his theory on infinitesimals?
by calculating slopes. 
100
What is Infinity?
The limit of a variable when it gets larger than any given finite number. 
100
What were the two varieties of infinity, stated by Aristotle?
They were actual infinity and potential infinity. 
200
Who invented the Infinity sign?
John Wallis
200
What term do we use for a measurement of the amount of elements in a set?
Cardinalities
200
What is potential infinity used for?
It's used for thought. 
300

Whose theorem stated, "'No matter how large a set we have, we may consider that it is still smaller.'" 

Georg Cantors

300

1.The set of whole numbers is an example of what type of infinity?

2.The set of irrational numbers is an example of what type of infinity?  

1. Countable Infinity

2. Uncountable Infinity 

300
why are irrational numbers considered an example of uncountable infinity? 

because irrational numbers don't terminate or end.


400
What three properties of infinity and who discovered them?
Aristotle discovered Metaphysical, Physical, and Mathematical properties. 
400
What cardinality does a set of whole number have starting from one have?
It would be Aleph Null "our known infinity"
400
Name five mathematicians who helped develop the concept of infinity.  

1. Georg Cantor

2. Isaac Newton 

3.  Gottfried Wilhelm Leibniz

4. Plato 

5. Aristotle 

500
Which two mathematicians discovered infinitesimals and during which time period? 
Isaac Newton and Gottfried Wilhelm Leibniz during the late 16oo's. 
500

1. What property of infinity is thought an example of?

2. Time is an example of what property of infinity? 

3. An example of _______ property is the ratio of the side of a square and its diagonal. 

1. Metaphysical

2. Physical 

3. Mathematical 

500
How early can Infinity be traced back?
All the way back to 384 b.c.e 
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