# How to express these phrases mathematically

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1. Oct 21, 2015

### math.exo

look at this phrase :

'il existe un entier multiple de tous les autres' : there is an integer multiple of all other

'tout réel posséde une racine carrée dans IR ':any real has a square root in IR

'tout les réels ne sont pas des quotients d'entiers': any real (any actual) are not integer quotients

'certains réels sont strictement supérieurs à leur carré ':some real are strictly above their square

I need to write it on mathematical form.

2. Oct 21, 2015

### WWGD

I imagine you want to use symbolic logic? Still, your second sentence is wrong , in case that matters.

3. Oct 22, 2015

### aikismos

$\exists zn : z \in ℤ$ (all other what?)

$\forall r \in ℝ \exists \sqrt{r} \in IR$ (what is IR in this context?)

$\forall r \in ℝ \nexists \frac{a}{b} : \frac{a}{b} \not\in ℤ$

$\exists r \in ℝ : r > r^2$

4. Oct 23, 2015

### jk22

I would say : $$\exists m\in\mathbb{N}:k|m\forall k\in\mathbb{N}$$

The second i don't understand what IR is.

The third : $$\exists x\in\mathbb{R}:x\neq \frac{a}{b} \forall a,b\in\mathbb{Z}$$