apart from a spurious detail, it's not clear hoe everything in between offers a radical alternative
Possibly because, even given your own equation, l=b,
not f=b. You cannot simply scrub the entire equation in the middle and end up with f=b because f does not = b, in your equation f=a.
then what is the biological contribution of a fish to the appearance of birds (in your humble opinion)?
Fish to birds? Well.. there are "flying fish". I think that covers it
(I'm messing with you). Ok, to answer honestly.. What contribution to you was your great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great, great grandmother?
[edit] Note: you are asking me to show you how this great... grandmother turned into you. The statement is fallacious.
Ok, I get your argument. It would be nice to say that somewhere in you is this great.... grandmother of yours, but that's simply not the case. Your great.... grandmother is not you.
what your previously supplied diagram is claiming - fish -> land living vertebrate
That's interesting. For the record, the earlier cited example:
"In the genus Tragopogon (a plant genus consisting mostly of diploids), two new species (T. mirus and T. miscellus) have evolved within the past 50-60 years. The new species are allopolyploid descendants of two separate diploid parent species.
The new species were formed when one diploid species fertilised a different diploid species and produced a tetraploid offspring. This tetraploid offspring could not fertilize or be fertilised by either of its two parent species types. It is reproductively isolated, the very definition of a species."
Is macroevolution in line with actual definition. If you would like to contest that please try and do so.
Macro evolution has been observed.
The similarity of design also indicates a similar engineer or manufacturer
That's perhaps a different discussion. For now please tell me that tiktaalik, with both gills and lungs is not an example of transition, so what is it?
For instance Volkswagen, despite a variety of designs, has the hot air vent from all its vehicles in a way unique to any other manufacturer
That's interesting, I'm personally into Lamborghini's myself. But tell me, out of interest.. If you saw a car that had these hot air vents that are unique to VW's but also had a badge of a Spanish bull which is unique to Lamborghini what would be the logical conclusion even though you did not see the car made? (be honest).
As to your last statement on similarity.. I had to wait until you gave your understanding of the term 'macro evolution' because typically from a theist perspective it means frogs turning into dogs, or... as the theist would spout: one kind to another.
So I ask, how do we define 'kind'? How is it ultimately decided that a lion is a "kind" of cat if not on similarity? I do not see you contesting that a lion is a kind of cat even though it is based on similarity, (retractable claws, etc etc). So, as your entire understanding of 'kind' is based upon similarity, why would you put up such a fuss with something that is merely a tiny part of an understanding across so many different sciences? And something that is ultimately quite foolish to contest given the evidence, (yes, that's evidence, not proof).
The "evidence" would suggest that tiktaalik is in between a land dwelling and sea dwelling creature. Feel free at any time to offer an alternative to why a fish would grow lungs underwater. This is not simply evidence made up on the spot, but evidence backed up through multiple scientific disciplines. Of course this is falsifiable, testable, empirical, parsimonious, rational, general and tentative.
But let's start with what we have and make basic logical assumptions from there...
1) Evolution has been observed.
2) We know that evolution occurs.. You could now state that this is a new phenomenon, something that never used to happen but has, all of a sudden, for no particular reason. You could state that as it does happen, it has happened in the past and predict what you would find if that were the case.
3) Given the examples in 2, which would you go along with or feel free to add your own. Remember though that this is science and so needs to satisfy certain criteria.
4) So you assert that evolution has happened in the past. What would you (be honest) expect to find if you had the ability to see certain ages from the past?
5) What would you assert if, for example, you found a piece of wood with scratch lines on it on the lowest line. On the next line you found an abacus, on the next line you found a calcuator the size of manhattan, on the next line you found a computer with a 33mhz chip and on the next line you found a computer with a 233 mhz chip?
Please, be honest.
6) So what wouldn't we expect to find? Of course we wouldn't expect to find a 233 mhz computer on the bottom line, that would cause some major strife and we'd have to start from scratch. (Yes, it's falsifiable).
7) So who, (be honest), would contest it when you find exactly what you would expect to find, based upon that which you have observed, in an order exactly as you would expect to find it?
You find a 33 mhz computer, then a 50 mhz, then a 70 mhz, then a 90 mhz, then a 120 mhz etc...
What can be the only "plausible" conclusion?