If all things are impermanent, then how can Buddhism make absolute assertions? I had someone ask me this afternoon: 


  If Buddhism teaches that all things are impermanent, then how can it
  make absolute assertions such as there are 5 aggregates or there
  are 4 noble truths?


Since I am very new to all of this I had to honestly answer, "I don't know". I would appreciate any insights on this question.
You friend has indulged into what is called the logical fallacy of false equivalence. 

Buddhism teaches that all things are impermanent which means that there is no static nature to the things or static nature of the basic elements that everything is made up of. 

So it means that the 5 aggregates are in a state of constant flux it's changing every moment, and not that it is ceasing to exist. 

Now,

Buddhism can make an assertion that there are 5 aggregates because the assertion is 'about' the 5 aggregates. Furthermore, it can tell that there are four noble truths because 'four noble truths is the nature of the process, not the process itself'. 

It's something like saying, 'if uncertainity principle is right we should be uncretain about the uncertainty principle'. It is a logically fallacious statement.

So, you should have replied to your friend saying,


  If the second law of thermodynamics is true, how would you like your Beer?


A story you might like;


  Two monks were watching a flag flapping in the wind. One said to the
  other, 
  
  “The flag is moving.” The other replied, “The wind is moving.”
  
  The Zen master overheard this. He said, “Not the flag, not the wind;
  the mind is moving.”
  
  From there comes KungFu Panda he says, "most probably, it's your mouth
  that is moving."


Also, a story for any such further conversation you might have, from a discourse on Dhammapada the way of the Buddha. 


  There were two temples in Japan, both enemies to each other, as
  temples have always been down the ages. The priests were so
  antagonistic that they had stopped even looking at each other. If they
  came across each other on the road, they would not look at each other.
  If they came across each other on the road they stopped talking; for
  centuries those two temples and their priests had not talked.
  
  But both the priests had two small boys - to serve them, just for
  running errands. Both the priests were afraid that boys, after all,
  will be boys, and they might start becoming friends to each other.
  
  The one priest said to his boy, "Remember, the other temple is our
  enemy. Never talk to the boy of the other temple! They are dangerous
  people - avoid them as one avoids a disease, as one avoids the plague.
  Avoid them!" The boy was always interested, because he used to get
  tired of listening to great sermons - he could not understand them.
  
  Strange scriptures were read, he could not understand the language.
  Great, ultimate problems were discussed. There was nobody to play
  with, nobody even to talk with.
  
  And when he was told, "Don't talk to the boy of the other temple,"
  great temptation arose in him. That's how temptation arises.
  
  That day he could not avoid talking to the other boy. When he saw him
  on the road he asked him, "Where are you going?"
  
  The other boy was a little philosophical; listening to great
  philosophy he had become philosophical. He said, "Going? There is
  nobody who comes and goes! It is happening - wherever the wind takes
  me...." He had heard the master say many times that that's how a
  buddha lives, like a dead leaf: wherever the wind takes it, it goes.
  So the boy said, "I am not! There is no doer. So how can I go? What
  nonsense are you talking? I am a dead leaf. Wherever the wind takes
  me...."
  
  The other boy was struck dumb. He could not even answer. He could not
  find anything to say. He was really embarrassed, ashamed, and felt
  also, "My master was right not to talk with these people - these are
  dangerous people! What kind of talk is this? I had asked a simple
  question: 'Where are you going?' In fact I already knew where he was
  going, because we were both going to purchase vegetables in the
  market. A simple answer would have done."
  
  He went back, told his master, "I am sorry, excuse me. You HAD
  prohibited me, I didn't listen to you. In fact, because of your
  prohibition I was tempted. This is the first time I have talked to
  those dangerous people. I just asked a simple question. 'Where are you
  going?' and he started saying strange things: 'There is no going, no
  coming. Who comes? Who goes? I am utter emptiness,' he was saying,
  'just a dead leaf in the wind.
  
  And wherever the wind takes me....'" The master said, "I told you
  before! Now, tomorrow stand in the same place and when he comes ask
  him again, 'Where are you going?' And when he says these things, you
  simply say, 'That's true. Yes, you are a dead leaf, so am I. But when
  the wind is not blowing, where are you going? Then where can you go?'
  Just say that, and that will embarrass him - and he has to be
  embarrassed, he has to be defeated. We have been constantly
  quarreling, and those people have not been able to defeat us in any
  debate.
  
  So tomorrow it has to be done!"
  
  Early the boy got up, prepared his answer, repeated it many times
  before he went. Then he stood in the place where the boy used to cross
  the road, repeated again and again, prepared himself, and then he saw
  the boy coming. He said, "Okay, now!"
  
  The boy came. He asked, "Where are you going?" And he was hoping that
  now the opportunity would come....
  
  But the boy said, "Wherever the legs will take me...." No mention of
  wind! No talk of nothingness! No question of the nondoer! Now what to
  do? His whole ready-made answer looked absurd. Now to talk about the
  wind would be irrelevant.
  
  Again crestfallen, now REALLY ashamed that he was simply stupid: "And
  this boy certainly knows some strange things - now he says, 'Wherever
  the legs take me....'" He went back to the master. The master said, "I
  have told you NOT to talk with those people - they are dangerous! This
  is our centuries-long experience. But now something has to be done. So
  tomorrow you ask again, 'Where are you going?' and when he says,
  'Wherever my legs take me,' tell him, 'If you had no legs, then...?'
  He has to be silenced one way or other!"
  
  So the next day he asked again, "Where are you going?" and waited.
  
  And the boy said, "I am going to the market to fetch vegetables."


Live Unpredictable, Live Prepared.