I think maybe you are right ,1+1= 3 sometimes. It's not always black & white ,that gray area counts too . And it is a fool to thinks only one-sided .Thank you for sharing.
The spirit of your statement is good, because there is usually more than one answer to any real-world problem. But the analogy is weak because integer algebra is deterministic.
Hmm - I don't know how weak the analogy is. 1 (male) + 1 (female) = 3 - quite often. Or = 12 if we're talking rabbits or the like. Doesn't work with dollar bills, though; they have too many deterministic integers on them, I guess. :-)
In set theory and topology we may face funniest things that cannot explain from our ordinary world.
Math had developed as the way to explain our ordinary world. Now our activity and scope expands to the universe in macro and quantum in micro. It is very natural for us to have inexplicable answers judging merely from our daily ordinary life.
If you study abstract algebra you learn there are ways to have 1+1 = 0 or 0x0 = 1 and all sorts of fun things.
ReplyDeleteI think maybe you are right ,1+1= 3 sometimes. It's not always black & white ,that gray area counts too . And it is a fool to thinks only one-sided .Thank you for sharing.
ReplyDeleteThe spirit of your statement is good, because there is usually more than one answer to any real-world problem. But the analogy is weak because integer algebra is deterministic.
ReplyDeleteHmm - I don't know how weak the analogy is. 1 (male) + 1 (female) = 3 - quite often. Or = 12 if we're talking rabbits or the like.
ReplyDeleteDoesn't work with dollar bills, though; they have too many deterministic integers on them, I guess. :-)
0x0=1?
ReplyDeleteUsually, 1 is defined as being distinct from 0, and 0x(elt)=0.
Which algebra is this? I'm not saying that you're wrong (or right!); I'm just curious.
I often think in a workplace where one guy always do the same thing in a same way and he thinks it is the only way to do his job.
ReplyDeleteI do the same thing in various ways, I don't think I'm a fool, but he might think I'm the very fool who can't do the same thing in a same way.
In set theory and topology we may face funniest things that cannot explain from our ordinary world.
ReplyDeleteMath had developed as the way to explain our ordinary world. Now our activity and scope expands to the universe in macro and quantum in micro. It is very natural for us to have inexplicable answers judging merely from our daily ordinary life.
If one woman and man got married and didn't produce any offspring, that is 1+1 = 0.
ReplyDelete0x0 = 1 means on the other hand, the birth of life from non bio materials.
Math was made by simplifying each element to its extreme. Such premises are not always common in real world.
Thanks, peacefinder, I appreciate your first post to my entry!
ReplyDeleteThe very reason I chose 1 + 1 was because it's deterministic. I need to find other analogies as deterministic as integer algebra other than that.
Next time I need to use more novel and creative analogy. For example, Harvard graduate is smart, America is a big country, etc.
Actually a simple logical OR produces that result...
ReplyDeleteThe logical OR gets even better than that, actually: 0 x 0 = 1 = 1 x 1
So, 0 x 0 = 1 x 1
:D
Stick that in your pipe and smoke it :)