I think we are sort of re-incarnate.
From a compleatly scientific POV, the energies, matter, and patterns which define you (assuming that there is no soul, just the stuff we can see), still has to go somewhere when you die. The matter is obviously re-used, but so is the energy. The earth is largely a closed system, with the excption of the constant input of energy from the sun. The energy which you are made of comes and goes through the intake of food, the output of heat and work, etc, etc. You are not a closed system. However, the patterns of how the energy flows in your body, how it is handled and expended, is what defines you as opposed to me.
That pattern, while you are alive, has an effect on the world around you, both in macroscopic terms (I eat a sandwhich, the sandwhich has been very changed), and microscopic terms (the EM radiation from the electrical activity in my body extends beyond the physical limits of my skin). When you die, those patterns also have an effect on the surrounding one, though a very subtle one. Your pattern is split up and divided throughout the area where you die; altered by your death, and altered by the energy patterns of everything around you at the time: wind, rain, bugs, dogs, etc.
For a visual example of what I mean, put your hand in a tub of water, and start making waves. These wave are the pattern that I'm talking about. Now place a few floating toys in the water. Do you see the effect they have on "your" pattern? And the effects that your pattern has on them? Now get someone else to make waves in the tub. There is still a pattern, but a very intracate one. two waves, interacting with each other and the floating objects, to create peaks and troughs in a very in-depth way. Now stop your waving. You watch as the effect of your waves decrease, they seem to diasapear under the strength of the other person's waves. However, in fact the effect of your waves doesn't actually go away, it just get smaller and smaller until it is not noticeable in comperison with the waves the other person is making.
The same goes for your energy patterns when you die. your effect doesn't go away, it just gets smaller and smaller over time. However, this was not covered in the waves example, your effect changes how other things make their waves, how they understand and live in the world. This would be more akin to the second person making waves above not knowing how to make waves when you first aks them to do so, but they learn by watching you, and mimicing. Your method and pattern has now passed in a subtle way to that next person. Well, before your effects, both macroscopic and microscopic, fade to the point where they are no longer noticable, they have a large effect on your surroundings, which change to become more like you for your exsistance.
So, in my opinion, using only ideas accepted by science (you are alive, you will die, you give off very low levels of EM radiation, things are effected by EM radiation, the effect doesn't ever end, but gets smaller and smaller as distance gets larger, etc), you are re-incarnated in the sence that everything is more like you after your life, by you being there.
I don't have any faiths or believes as to a soul or 100%-new-body-same-being type re-incarnation. I haven't gotten that far, yet.