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12 Answers
- razor_cookieLv 52 decades agoFavorite Answer
the arithmetic answer is 4
the vector answer is 2.828
the boolean answer is 2
shall I go on?
- Anonymous2 decades ago
2+2 = 1
2+2 = 2
2+2 = 0
2+2 = 4
2+2 = 5
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- 2 decades ago
There real question might be more like, "How do I express the operation of addition of whole numbers in terms of some more fundamental mathematical concept?" After all, isn't all mathematics suppose to rest on set theory and logic? In set theory, the fundamental object is a set, the relationships between sets are described by "is an element of" and "is a subset of", the fundamental operations are "intersection" and "union" and you must postulate the existence of some set, like the "empty set", represented by "{}".
You can then construct a connection of "mapping" between numbers on the one hand and sets on the other. Even though you've always been taught not to confuse the number zero with the empty set, sure enough the way to describe whole numbers in terms of sets is to assign a mapping where the number zero is represented in sets by the empty set.
To get the "succeeding" numbers you must create a "succession" operator that gives the next biggest set. Define the succession operator S of the set x to be
S(x) = x U {x},
that is the element x unioned with the set whose only element is the set x.
So to add one to a number, you start with the set associated with that number, apply the successor function to it, take the value and match it up with the corresponding number that goes with that set.
"Adding two" to a number in the world of numbers can be found by repeating the above exercise twice--start with the set for a number, apply the successor function once, plug that answer into the successor function again, then find the number that goes with the resulting set.
In this system of correspondences the number 0 goes with the set {} (empty set).
The number 1 goes with { {} }, which is S( {} )
The number 2 goes with { {}. { {} } }, which is S( { {} } )
The number 3 goes with { {}, { {} }, { { {} } } }, which is S( { {}, { {} } }
The number 4 goes with { {}, { {} }, { { {} } }, { { { {} } } } } which is S( { {}, { {} }, { { {} } } } )
So, to show that 2 + 2 = 4, you are really asking, what number do I get when I start with the set that represents two, apply the successor function twice, then find the number that goes with that set?
2+2 maps into sets as
S( S( { {}. { {} } } )
= S( { {}, { {} }, { { {} } } }
= { {}, { {} }, { { {} } }, { { { {} } } } }
which maps back to numbers as 4
Source(s): see http://en.wikipedia.org/wiki/Successor_function - 2 decades ago
After the many advancements humankind has made in the field of science known as Math to most of you, what 2 + 2 equals to is still under much debate. This question may not be answered for centuries to come.
- 2 decades ago
2+2=11 in base 3. See the link below for adding in multiple bases.
- 2 decades ago
Well I personaly think that 2+2=4 but many people say that it could possibly equal 5 so I think that I'm not qualified to answer it truthfully but only by what I know of.
Source(s): Always been told that common sense is that 2+2=4