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F-o-c-u-sDefinitionHistoryApplication. Infinity is defined in many ways. A distance so great that the rays of light from a point source at that distance may be regarded as parallel. The quality of being infinite. Unlimited extent of time, space, or quantity. Boundlessness. An indefinitely great
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1. 8Infinity8 Krystal Migrin
May 31st, 2007
4. “No matter what number you have, there is always one bigger.”“We cannot count to infinity.”“There is no such thing as the biggest number in the world.”
5. Derived from… Philosophy
Religion
Science
Mathematics
6. Historically… Romans used infinity to represent 1,000
Early Indian views - adding or subtracting a part from infinity yields infinity
Aristotle – infinite is potential, never actual
Galileo – finite minds and comprehension of infinity
7. Types of Infinity… Mathematical
Physical
Philosophical
8. About the symbol… Lemniscate – from Latin meaning “ribbon” and walking a continuous loop
Tibetan rock carvings – infinity snake
Tarot – balance of forces
Roman numeral for 1000 from Etruscan numeral for 1000 – “many”
Lazy eight
Hourglass
10. Infinity in Mathematics… Real analysis – denotes unbounded limit
X grows beyond assigned value
Is not a real number
Extended real number line – less than and greater than extended real numbers
11. Operations with Infinity…
12. Indeterminate Operations…
13. Additional Applications… Daily speech – hyperboles
Cosmology – boundaries of Earth and space, starting and stopping points
16. Resources… On Beyond a Million by David M. Schwartz
The History of Counting by Denise Schmandt-Besserat
Numbers by David L. Stienicker
Math Matters! Numbers by Brian J. Knapp
Infinity by J J O’Connor and E F Robertson
Definition of Infinity by Merriam-Webster, Inc.