“When you have eliminated the impossible, whatever remains, however improbable, must be the truth.”
This is the essence of deductive reasoning, the elimination of the impossible. Inductive reasoning (which is just as reasonable) argues from similarity- because the sun rises in the east every day it is not unreasonable to assume that this replicatable experiment (get up some morning and watch) also expresses truth in the sense that science understands it. Testable conjecture, experimental evidence that confirms it, theory that relates it to what we already know to be true enough.
You know all that hype about a holographic universe? What serious physicists mean when they say that is that their equations that predict the observable perfomance of the universe can be resolved using only two dimensions which really says more about the math than the universe.
And why is math the arbiter? Well, because equations give predictions that should be testable by experiment and give duplicatable results. No, Karl Rove does not get his own very special kind of math where one and two make five. Brother Maynard, read us from the Holy Book of Armaments-
There you go. 5 is right out.
So this problem should be a piece of Π. Expressed algebraicly-
Didn’t get that? Well, you’re not alone because there are over 100 unique solutions. Be careful about the maths because they are tricksy and in some cases (Economics anyone?) simply represent fictional concepts reduced to Cartesian curves (the Universe is a hologram!).
Today’s problem is deductive. The solution is to eliminate the impossibilities one by one.
Albert, Bernard and Cheryl became friends with Denise, and they wanted to know when her birthday is. Denise gave them a list of 20 possible dates.
17 Feb 2001 16 Mar 2002 13 Jan 2003 19 Jan 2004 13 Mar 2001 15 Apr 2002 16 Feb 2003 18 Feb 2004 13 Apr 2001 14 May 2002 14 Mar 2003 19 May 2004 15 May 2001 12 Jun 2002 11 Apr 2003 14 Jul 2004 17 Jun 2001 16 Aug 2002 16 Jul 2003 18 Aug 2004 Denise then told Albert, Bernard and Cheryl separately the month, the day and the year of her birthday respectively.
The following conversation ensues:
Albert: I don’t know when Denise’s birthday is, but I know that Bernard does not know.
Bernard: I still don’t know when Denise’s birthday is, but I know that Cheryl still does not know.
Cheryl: I still don’t know when Denise’s birthday is, but I know that Albert still does not know.
Albert: Now I know when Denise’s birthday is.
Bernard: Now I know too.
Cheryl: Me too.So, when is Denise’s birthday?
Science Oriented Video
The law that entropy always increases holds, I think, the supreme position among the laws of Nature. If someone points out to you that your pet theory of the universe is in disagreement with Maxwell’s equations – then so much the worse for Maxwell’s equations. If it is found to be contradicted by observation – well, these experimentalists do bungle things sometimes. But if your theory is found to be against the second law of thermodynamics I can give you no hope; there is nothing for it but to collapse in deepest humiliation.
–Sir Arthur Stanley Eddington, The Nature of the Physical World (1927)
Science News and Blogs
- Ben And Jerry’s Just Released A New Flavor, And It Could Help Save Our Planet, By Nick Visser, Huffington Post
- Planetary Society’s LightSail has gone silent, by Brooks Hays, UPI
- Unanswered questions leave ISS crews in holding pattern, By William Harwood, CBS
- Adding Branches to the Human Family Tree, by Carl Zimmer, The New York Times
- Ancient Skull Suggests an Early Murder, By SINDYA N. BHANOO, The New York Times
- Study of attitudes to same-sex marriage retracted over ‘fake data’, by Lauren Gambino and Hannah Devlin, The Guardian
- King Henry I, like Richard III, could be buried in a car park, say archaeologists, by Robert Booth, The Guardian
- So you’re related to Charlemagne? You and every other living European…, by Adam Rutherford, The Guardian
- How fossil fuel burning nearly wiped out life on Earth – 250m years ago, by George Monbiot, The Guardian
- Beware Eurosceptic versions of history and science, by Rebekah Higgitt, The Guardian
Obligatories, News and Blogs below.
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