All People in Canada are the Same Age (1997)
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All People in Canada are the Same Age (1997)
1–10 of 102 posts
Re: All People in Canada are the Same Age (1997)
#2[deleted]
Re: All People in Canada are the Same Age (1997)
#3Step 9 doesn't work because it introduces a third person, and so fails to demonstrate S(2)
Re: All People in Canada are the Same Age (1997)
#4[deleted]
Re: All People in Canada are the Same Age (1997)
#5Fun stuff, there's a few more on this page:
https://www.math.toronto.edu/mathnet/falseProofs/fallacies.h...
The last one in particular I thought was interesting
Re: All People in Canada are the Same Age (1997)
#6Step 9 doesn't work because it introduces a third person, and so fails to demonstrate S(2)
Isn't it Step 4, which uses as a premise what the whole thing is supposed to prove?
"in every group of k people, everyone has the same age"
You can't use your conclusion in your assumption!
Re: All People in Canada are the Same Age (1997)
#7Step 9 doesn't work because it introduces a third person, and so fails to demonstrate S(2)
Isn't it Step 4, which uses as a premise what the whole thing is supposed to prove? "in every group of k people, everyone has the same age" You can't use your conclusion in your assumption!
That's the way induction works.
Assume the statement is true for n
Deduce that it then must be true for n+1
Prove it for n=1
Now it's proven for every n
Re: All People in Canada are the Same Age (1997)
#8Step 9 doesn't work because it introduces a third person, and so fails to demonstrate S(2)
Isn't it Step 4, which uses as a premise what the whole thing is supposed to prove? "in every group of k people, everyone has the same age" You can't use your conclusion in your assumption!
You might want to read the section "A Brief Review of the Principle of Induction".
Re: All People in Canada are the Same Age (1997)
#9Step 9 doesn't work because it introduces a third person, and so fails to demonstrate S(2)
Isn't it Step 4, which uses as a premise what the whole thing is supposed to prove? "in every group of k people, everyone has the same age" You can't use your conclusion in your assumption!
[deleted]
Re: All People in Canada are the Same Age (1997)
#10Step 9 doesn't work because it introduces a third person, and so fails to demonstrate S(2)
I don't know why you're getting downvoted, afaict 9 is the problem.