mersenneforum.org There are more even numbers than odd numbers
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2020-08-09, 04:06   #23
retina
Undefined

"The unspeakable one"
Jun 2006
My evil lair

22×5×7×41 Posts

Quote:
 Originally Posted by kriesel The original post does not indicate a number system explicitly. Would that be natural numbers, all integers, all rationals?
Let's go with integers.

2020-09-08, 20:15   #24
ONeil

Dec 2017

2·5·11 Posts
Retina is correct

Quote:
 Originally Posted by retina Every odd number is half of an even number. Some even numbers are not double an odd number. Therefore there are more even numbers than odd numbers.
I cannot disprove this statement with code from a range of numbers up to 5.
According to retina's rules from the above quote, his statement is correct when the range is set to an odd number!

Code:
evens = [x for x in range(5) if x % 2 == 0]
print(evens)
for number in evens:
evens.append(number / 2)
print(evens)
break
odds = [x for x in range(5) if x % 2 != 0]
print(odds)
for number in odds:
odds.append(number * 2)
print(odds)
break

Last fiddled with by ONeil on 2020-09-08 at 20:16

 2020-09-09, 00:55 #25 baih     Jun 2019 2×17 Posts Originally Posted by retina View Post Every odd number is half of an even number. Some even numbers are not double an odd number. Therefore there are more even numbers than odd numbers. True because Even+even= odd Odd+odd = odd Only Even +odd = even
2020-09-09, 01:08   #26
tuckerkao

Jan 2020

7510 Posts

Quote:
 Originally Posted by retina Every odd number is half of an even number. Some even numbers are not double an odd number. Therefore there are more even numbers than odd numbers.
I can totally understand this theory from the counting of base 5, 7 and 9. Any odd based counting will result in more even numbers.

2020-09-09, 02:52   #27
LaurV
Romulan Interpreter

Jun 2011
Thailand

2×3×31×47 Posts

Quote:
 Originally Posted by baih Even+even= odd Odd+odd = odd Only Even +odd = even

Haha, for some reason I can't stop laughing. Paraphrasing a famous person, "I know I am stupid, but when I look around, I get wings".

Last fiddled with by LaurV on 2020-09-09 at 02:55

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