In the following we use the assumption that the number of different atoms on earth is finite. Furthermore, we say that any possible composition of a finitely many atoms is called a molecule. Note that a molecule can have several occurrences of the same atom. We say two molecules are equivalent if both the sets atoms and the number of occurrences of each of those atoms of the respective molecules are equal. Finally, the molecule universe is defined as the set of all possible molecules.

a) Is the molecule universe countable?

A molecule group is a finite or infinitely large collection of different molecules from the molecule universe.

b) Is the set of all molecule groups countable?

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a Yes the molecule in the universe is countable because Any possible ... View the full answer