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Lecture 1-2 - Space Whatisreality Wh a ti s i t...

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Space
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What is reality? Three dimensional space What is it? Here's a picture: No, really, that's a picture. Is it missing something?
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What is reality? How can we describe this space so that we can calculate things? Get a handle on it? Use it for something? Predict future positions or motions Quantify mass, volume, stress Tell the supplier how much cheese we need for the giant wheel
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René Descartes Je pense, donc je suis. "I think, therefore I am." Descartes thought of something brilliant, something that shook the world. Does anyone know what I am talking about? (The pineal gland??)
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René Descartes Descartes discovered coordinates The 3D space of human experience is the set of ordered triples of numbers: Here's a picture you probably recognize. = {( x , y , z )| x , y , z @ R } R 3
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Numbers breed numbers We can now calculate distance!
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