The Earth at the Center of the Universe?

Now at first sight, all this evidence that the universe looks the same whichever direction we look in might seem to suggest there is something special about our place in the universe. In particular, it might seem that if we observe all other galaxies to be moving away from us, then we must be at the center of the universe. There is, however, an alternate explanation: the universe might look the same in every direction as seen from any other galaxy too. This, as we have seen, was Friedmann’s second assumption. We have no scientific evidence for, or against, this assumption. We believe it only on grounds of modesty [...]

Hawking, Stephen, A Brief History of Time, up. and exp. 10th ann. ed., New York; London; Toronto; Sydney; Auckland: Bantam Books, 1998, pp. 44-45.

The Unverifiable Assumption of Radiocarbon Dating: a second statement of

There are two basic assumptions in the carbon 14 method. One is that the carbon 14 concentration in the carbon-dioxide cycle is constant. The other is that the cosmic ray flux has been essentially constant--at least on a scale of centuries.

 Kulp, J. Laurence, "The Carbon 14 Method of Age Determination," The Scientific Monthly, 75 (November, 1952), 261.

The Unverifiable Assumption of Radiocarbon Dating

All calculations of radiocarbon dates have been made on the assumption that the amount of atmospheric carbon dioxide has remained constant. If the theory presented here of carbon dioxide variations in the atmosphere is correct, then the reduced carbon dioxide amount at the time of the last glaciation means that all radiocarbon dates for events before the recession of the glaciers are in question. 

Plass, Gilbert N., "Carbon Dioxide and the Climate," American Scientist, 44 (July, 1956), 314.

(online article.)

The Barcode of Life: another glimpse of Creation

Why so much resistance?

Dr. Hebert: Well, there is a typological ring to barcoding. If it were really and truly the case that each species was indelibly barcoded with an invariant DNA marker, that would have some very drastic consequences for theories of the origin of life. If there was only significant variation between species - and none within species - that could imply creationism.
[...]
Let's return to creationism again. You said that one of the surprising things is that there is so little difference between individuals in a species.
Dr. Hebert: The explanation, when this lack of mitochondrial diversity showed up in humans, was a population bottleneck - the collapse of our species to perhaps 1,000 individuals about 150,000 years ago in Africa and out of that bottleneck modern humans emerged, stripped of mitochondrial diversity. But am I supposed to believe that every aphid species on the planet, every water flea, every fish went through a similar bottleneck at the same time? That is impossible. Honestly, I sometimes wake up at night and think, "If I was a creationist, this would be my proudest moment."
Since you are not a creationist, what do you think is happening?
Dr. Hebert: I think that it can be explained scientifically by there being a scouring mechanism that cleanses mitochondrial genomes of their diversity on a regular basis.

Strauss, Stephen, The Barcode of Life Takes Flight, University Affairs, vol. 47, no. 4, April 2006, pp. 11-15.