Originally Posted by bluemagic
I tried looking up some information on "Life of Fred" last night and found some PDF's of the books. I am not impressed. Partly because my son would absolutely hate the format. Second because I see a LOT of religious content in the short amount I read. And most important because author doesn't seem to really understand higher level math or logic as illustrated by this passage. Mathematicians don't need to "believe" in infinite sets they use proofs, the proofs are just something you wouldn't normally see in an Algebra I text.

Quote
Some people like to argue that infinite sets don’t really exist. “After all,” they say, “they’re just a figment of your imagination. It’s all in your head.”
By that same argument I could prove that pain doesn’t exist.
When you cut your finger, the pain is experienced in your brain.
And the pleasure of a bite of warm pizza doesn’t exist.
And the number three doesn’t exist.
And truth doesn’t exist.
Just because it is happening inside your skull doesn’t mean that it doesn’t exist.
- Life of Fred Algebra I by Stanley F. Schmidt
http://www.stanleyschmidt.com/FredGauss/sample%20pages%20BAX.pdf

On the contrary, the question of which, if any, infinite objects we should believe in in the sense of being prepared to adopt reasoning systems that imply and work with them is utterly mathematically respectable. Here's one starting point:

http://en.wikipedia.org/wiki/Finitism

Admittedly, the passage you quoted isn't all that illuminating!


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