# Vishtasb

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1. ## A question in combination

Two at a time. That's my mean.

3. ## A question in combination

Let me ask the question in other words. Assume a persion who wants to climbe n stairs. But this persion can only climb stairs one by one or decussate. There is how many ways that this guy can climb these stairs?
4. ## A question in combination

Sorry because of the miss understandig. I meant that to climb stairs one by one or decussate.
5. ## A question in combination

If we can climb one stair, one stair, or two stairs, two stairs, in what ways can we climb n stairs?
6. ## How do we can prove that an infinity set exist?

But this method is about countable sets. Existence of countable sets can be proved by using infinity axiom. Because they're a kind of inductive sets (or actually can be isomorphism by inductive sets). But My real question is about uncountable sets. As I know there are two ways to make a new mathematical object. One method is 'constructive method' and the other is 'axiomatic approach'. For example in constructive method we defone 0 . Which is the empty set. And any other number is set of all before numbers. But in axiomatic approach we assume that the set
7. ## Infinity is a false value.

infinity is not a number or even a value! and i think there is no one can explain what "infinity" is. we just know how it behave.
8. ## How do we can prove that an infinity set exist?

In the set theory we have inductive sets which are those sets like $$A$$ which $$\emptyset \in A$$ and $$\forall a \in A (a^{+} \in A.$$ and $$a^{+}= a \cup \{a\}$$. Then we have the infinity axiom which says there exists an inductive set: $(\exist A) [\emptyset \in A \and (\forall a \in A) a^{+} \in A].$ Now my question is how do we can conclude than infinity sets, specially those sets that are uncountable such as $$\mathbb{R}$$ exists?
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