Does the theory of evolution supply the genetic answer to the self-sacrificing nature of many animal parents as well as that of many men and women in general?
Yes; a behaviour exhibited in a parent that increases the chance of its young surviving over and above that of an otherwise identical organism NOT exhibiting that behaviour will eventually come to dominate a population; in less than 200 generations even a 5% increased chance of the young surviving will spread to an entire population.
In some areas of life we are told to follow the money to find out what's going on; in evolution we follow the genes. It doesn't matter what nasty consequences the bahaviour has on the parent; it only matters if that behaviour increases its chance of young surviving.
Take the suicidal male spider; it does that as the male spiders that did that were more likely to fertilise females and have young bearing those genes, as that's what drives evolution along; selection. The fact that is dies is irrelevent in this context as it is the very action which kills it which leads to it having a greater genetic contribution to the next generation.
Of course, such actions are not neccesarily life threatening.
Take the lapwing (ground nesting bird that does a fake broken wing display to attract predators getting close to its eggs or chicks); it's behaviour surely increases it's young survival chance, but also rarely gives real risk to the parent
When a man or woman risks their life to help someone in danger is their response simply a response to the natural processes at work due to evolution's effect on their DNA? If so, can this self-sacrificing gene be isolated?
For a start that no such gene as a 'self sacrificing gene'. That would require a genetic complex to reason. There are behaviours caused by genetic make-up which lead to greater reproductive success, but it's not knowlingly. It's not like the lapwing 'thinks', "ah, this'll fool the fox, this technique works really well and has done for years". It has a behaviour that makes it act like that under certain stimulus, because those exhibiting the same behaviour before it had more chicks survive to breed than those who didn't, so today's lapwing is very likely to carry those same genes as a descendent of those previous lapwings.
Humans are different. We are knowing, and sometimes people do commit altruistic acts.
For example; a guy walking through a foreign town (no relatives), who without real concious thought runs in front of a car and throws a toddler to safety whilst losing his own life.
However, often seeming "altruism" has internal rewards; like feeling good about doing something altruistic, or doing it because it conforms to some internal belief set. Other times it occurs because it is a social expectation with adverse concequences if it's not carried out; not done for benefit but done to avoid criticism or disadvantagement.
Of course, parents will often risk their live or suffer for their kids as they have a drive to do so as - like I said at the outset - we have to follow the genes to figure out what it going on, and this is one example where obviously instinct might overcome intellect.
But normally risk is a calculated with a cost/beenfit equation for the one carrying it out even if this is abstract intangible and internalised.
We are our genes, we are told.
Or is it our genes who are us?
What I was trying to convey is that technology, intelligence, and civilization affect evolution in ways that are unprecedented in observable history or in any existing theory of natural selection. I don't think that's a controversial statement.
If we define evolution as;
A process whereby those members of a species displaying behaviour or characteristics (due to their genetic make-up) that increases the chance of producing offspring that survive to breed will thus pass those very genes on to their offspring and thus increase the penetration of those genes into the organism's genome, resulting in greater numbers of that species carrying that gene and leading to either a change in the species over time to one where that trait is universal, or the differentiation of one species into two or more species with varying traits if barriers to movement allow the original gene-pool of the species to be divided into several non-interbreeding gene-pools
... then all humans have done recently is come-up with a very extended phenotype... beavers have dams, that's their 'extended phenotype'. We have all the shit humans have made. Our extended phenotype has introduced some selection factors whilst reducing others;
You don't need as robust a constitution to survive childhood and adulthood due to modern medicine and hygene; selection for a strong constitution is reduced.
You can survive even if you are very short-sighted due to eye-sight correction; selection against myopia reduced.
Thousands of new chemicals are now in the environment than historically; some will have problems surviving or breeding with this pollution, others will be fine and their genes will be selected for.
We can now re-write or edit our own geneotype and can essentailly play with evolution.
So, in some ways evolutionary pressure is reduced, in other sometimes new ways it is increased. But it is still there.