darkavatar 寫:
我所指的是1+1=2的數學證明題
您小學老師教過的那一題
既然講得簡單
那何妨證明一下
還是,您只有嘴上比較厲害?
1.我沒有說過小學老師教過如何「證明」一加一等於二
2.prove : 1+1=2
Using Peano's Postulates Proof that 1 + 1 = 2 Using Peano's Postulates
Peano's Postulates are:
1. Let S be a set such that for each element x of S there exists a
unique element x' of S.
2. There is an element in S, we shall call it 1, such that for every
element x of S, 1 is not equal to x'.
3. If x and y are elements of S such that x' = y', then x = y.
4. If M is any subset of S such that 1 is an element of M, and for
every element x of M, the element x' is also an element of M, then
M = S.
Just as a matter of notation, we write 1' = 2, 2' = 3, etc. We define
addition in S as follows:
(a1) x + 1 = x'
(a2) x + y' = (x + y)'
The element x + y is called the sum of x and y.
Now to prove that 1 + 1 = 2.
From (a1), with x = 1, we see that 1 + 1 = 1' = 2.
Standard properties of addition - for example, x + y = y + x for all x
and y in S - can be proved by induction (which is based on Peano's
Postulate #4.
If the above proof seems too easy, we can try to show that 2 + 2 = 4.
2 + 2 = 2 + 1' = 3' = 4.
3.我也沒說過我多厲害,你小學老師沒教過你算術嗎?
不要用你自己的立場來任意批判別人。
4.我不厲害,但是起碼我分辨的出什麼是開玩笑