Did you look at the first post? I changed it early this morning.

Woops silly me

It's because im use to seeing it on every reply lol

I think that it helps a lot to reach the other technologies, at least the 2nd level of science.

I go for L2 Engineering to get the dam built as soon as possible. L2 Culture is the least important to me as it only gets you the sewing hut, which since new clothes cost 5,000 points, you can't afford to use yet. I normally go:
Engineering
Exploration
Science
Medicine
Farming + L3 Farming
L3 Medicine
Culture
L3 Culture
L3 Engineering
L3 Exploration
L3 Science

Do medicine and science really do much, for medicine it gives you triplets and twins, but what about science? I don't notice getting tech faster.

Medicine allows your villagers to live longer.

Science means you accoplish tech points faster and i do belive you will get more tech points every time.

I agree, it's all the more since (not sure about this expression!) the sewing-hut is in the way of the "exercise". But we need level 2 to have level 3 and to uncover the vines (and to make master builders) so I used to stop the construction of the sewing hut at 50% (or less or more).
I do the same strategy than you, except that, some time, in hard mode, I need the level 3 of farming early and so before medicine.

Another advantage of medicine is that the villagers get elderly and slow down later.

Sure! but to day 4 of my original villager are elderly and i have the level 3 of medicine. I deam of a level 4 !!