Numbers: sets or successors?

Posted by on Apr 17, 2013 in Blog, Numbers | 0 comments

Numbers: sets or successors?

When I was in high school, I played football. My position was defensive tackle, it’s a rough game; and eventually, I wound up with torn cartilage in my left knee. I had surgery for that when I was sixteen, and recovered quickly. When I got to university a year later, I was a philosophy major. I was reasonably good at math & science, but I didn’t find it very challenging; so philosophy for me. Between my first and second year in that, I picked up a summer job washing cars. All the up & down movement, bending over, and et cetera, re-injured my knee. So, off to hospital for...

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States

Posted by on Dec 14, 2012 in Science | 0 comments

One of the most fundamental notions in physics is that any system has, or is in, a state. The concept is inherently bound together with that of a degree of freedom. A degree of freedom is a single independent way in which the system is free to change. In classical mechanics, a state is a member of a set of values that the system could possibly be in. Sometimes, the set of possible states is finite and sometimes it is infinite. For example, a simple set of states for a coin might be that it is either heads up or tails up on a table. Note that the statement about states of the coin included a...

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