Land mammal – whale transition:
A lot of people have had difficulty swallowing that whales evolved from a cattle ancestor, provoking comments such as these, with amusing results:
Ladies and gentlemen, may I present to you:
Ambulocetans, described 1994. Other intermediates have since been found.
CriticalThinker writes: You displayed a drawing of an Ambulocetans skeleton as an intermediate between land animals and whales. Why do you believe Ambulocetans is an intermediate between land animals and whales? From looking at the skeleton of Ambulocetans it does not appear to have swimming capabilities. Its feet bones appear to be land dwelling feet. There is no indication that I am aware off that that would cause one to believe Ambulocetans coul swim. Some claim that Ambulocetans had webbed feet, however, there is no proof of this from looking at the skeleton. Ambulocetans had four legs with wide claws on its feet and paws on its hind legs. Just because some creatures have similar characteristics than other creatures, does not automatically indicate that the creatures are biologically related. Source: "Evolution or Creation? A Comparison of the Arguments" Second Edition (2011).
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Ape - Human transition:
Finally, probably the most complete record of transitional fossils for any animal is that of Apes and Humans, shown below:
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But intermediates are missing from parts of the fossil record!
There are lots of features for which we have no known intermediates, but this does not by any means prove or disprove anything. Expecting a perfect fossil record where everything is preserved is unreasonable - the fossil record gives up snapshots of events with relatively large gaps in them (A short time for a geologist is a long time for biologist). Having said that, there are excellent examples of intermediates in other areas, e.g. Archaeopteryx and the evolution of powered flight, adaptations for flight improvements over time in the fossil record of birds.
Whilst some argue that the human knee joint has had no known intermediates due to an incomplete fossil record, it is assumed we may find such an intermediate in the future - think of the revolutionary 'land mammal - whale' intermediate above. However, our educated guesses allow frequent scientific discussion of bipedalism (Remember other Apes can only walk in water), including this proposed rearrangement of the knee joint.
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Evolution has never been observed
A false statement. Evolution is constantly observed, throughout biology. Pesticide resistance in insects, antibiotic resistance in bacteria and beak size/shape in Darwin’s finches (more later) are all key examples.
.... But no-one’s ever observed a new species form!
Oh yes they have, although admittedly not through natural selection. Plant species in particular can undergo a process known as polyploidisation. This is where a chromosome number of an organism doubles due to errors during meiosis, and it can no longer breed with its parental species. This can be advantageous in arid environments as polyploidy plants tend to have larger cells so they can store more water. The origin of new polyploid plant species is common enough and rapid enough that scientists have documented several such speciations.