Foundations of Mathematics

1)lndicate whether the following statements are true or false:

a)lt can not proved mathematically that 2+2=4

b)It can be proved that there is no paradox in mathematics.(give an example)

c)Hilbert proved that thereis a statement in matematics whicah is true but can not be proved

d) Gödel proved that there is a statement in mathematics which can neither be proved nor pisproved

3)What was the set that Russell used to show that there was a paradox in mathematics?

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