Moderator: Flannel Jesus
Motor Daddy wrote:Because 1 can't be equally divided by 3.
Flannel Jesus wrote:But your logic only applies to the base 10 number system. It doesn't apply to base three.
Flannel Jesus wrote:So 1 can be equally divided by 3, depending on what base you use?
One pie is 100%, meaning 1 WHOLE pie. Dividing the pie into 3 equal pieces of 33.333...% means that the pieces only total 99.999...% of the pie, which you started with 100%.
You never completely divided the pie, otherwise the 3 pieces would total 100%. But they do NOT!
Flannel Jesus wrote:I don't think it does go without saying.
Flannel Jesus wrote:And you accept that if you use a different base numbering system, the 3 pieces would total 100%, right?
Flannel Jesus wrote:My comment about bases isn't about what base you're USING, it's about what bases your logic applies to.
Your logic only applies to base 10. It doesn't apply to base 3. So when you say "1 cannot be equally divided into 3", it's ambiguous if you mean "1 cannot be equally divided into 3 in base 10" or "1 cannot be equally divided into 3 ever, period".
Which one do you mean?
pood wrote:So what?
Motor Daddy wrote:Let's just stick with base 10 for now, shall we? You trying to muddy the waters to cover the problems in the base 10 system?
Flannel Jesus wrote:I'm actually trying to clear the waters up. I'm trying to ascertain the nature of your claim.
Are you making a claim about the base 10 number system, or are you making a claim about reality?
Is it impossible to divide by 3 in base 10, or is it impossible to divide by 3 in reality?
pood wrote:Nice avatar, Motor Daddy!
I'm making the claim that in base 10:
So you can't divide a pie into 3 equal pieces. That's what!
Flannel Jesus wrote:That makes me think you're making a claim about something more than the base 10 number system. That certainly sounds like you're talking about reality, and not the base 10 number system. Since the existence of pies isn't predicated on base 10.
Flannel Jesus wrote:I'm saying I'm confused about your point about dividing a pie into 3 pieces.
Do you think you can divide a pie into 4 equal pieces?
Flannel Jesus wrote:Right, I'm glad I got this cleared up lmao.
So it seems like your idea about the impossibilty, in reality, of dividing a pie into 3 pieces is entirely based on the accident that you were born into a world where you were taught numbers using a base-10 system. If you were born into a world where you were taught numbers using a base-9 system, dividing pies into 3 would seem completely normal to you, but dividing them into 4 would be impossible.
I don't think fundamental claims about reality should be based on the accident of what number-base counting system you use.
Flannel Jesus wrote:Your argument is about how the value is represented in decimal form.
In base 10, 1/3 is represented as an infinite decimal, 0.3333..., so you can't divide a pie into 3 pieces, right?
In base 10, 1/4 is represented as a finite decimal, 0.25, so you can divide a pie into 4 pieces, right?
But in base 9, those facts are reversed. In base 9, 1/3 is a finite decimal and 1/4 is an infinite decimal.
With me so far?
Flannel Jesus wrote:I think I proved my point. Good luck with your thing man.
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