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Arney on The Force of Truth Zita on Uncertainty –Measurements –Pictures –Quantum mechanics Discussion Looking ahead Tuesday, week 8
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Break time
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Zita on Uncertainty Measurements Pictures Quantum mechanics “We may never [hit] the truth target. So what is the point of worrying about whether our beliefs are true?” (Lynch, True to Life, p.27)
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Measurements http://dbhs.wvusd.k12.ca.us/webdocs/GasLaw/Lab- MolarVolume/Mg-and-ruler.JPG
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Uncertainties in Measurements Accuracy? (dx=2mm) Precision? ( x=1mm?) Reproducibility? Who decided this was a good question? Correlation vs. cause? What does it mean? (Why) does it matter? “Month of birth is important for adult stature”
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Picture problems http://www.sbi-online.org/sbi_home/case_of_the_month/2005_january_sbi_case_of_the_month
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Uncertainties in Mammograms Shadowing by/in dense tissue False positives, false negatives Structure → function? Motivations: radiologists vs HMOs Follow-up: ultrasound, surgical biopsy Diagnosis: malignant phyllodes tumor
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Is too much faith put in pictures? “The picture promises certainty, and it cannot deliver on that promise.” However: “Mammograms do not have to be infallible to save lives … reduces the risk of dying from breast cancer by about 10% … amounts to thousands of lives saved every year…” (Gladwell, p.7/8)
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Pictures of WMDs? http://www.globalsecurity.org/wmd/library/news/iraq/2003/iraq-030205-powell-un-17300pf.htm
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Uncertainties in WMD photos Resolution, interpretation Structure → function? Who decided this was a telling photo? Which is the fire truck? Motivations? “Leaving Saddam Hussein in possession of weapons of mass destruction for a few more months or years is not an option, not in a post-September 11 world.”
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Maps and models … as representations of reality… What is reality? Reality can surprise you. Predictions can be wrong.
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Pictures of particles? http://www.windows.ucar.edu/tour/link=/physical_scie nce/physics/atom_particle/electron.html http://www.iun.edu/~cpanhd/C101webnotes/modern- atomic-theory/images/orbitals.jpg
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Uncertainties in positions There is a finite probability that “once in a very great while, your car will spontaneously ooze through the brick wall of your garage and be found the next morning on the street” ( Sagan, Ch.17, Marriage of Skepticism & Wonder, Demon-Haunted World, 304)
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Quantum mechanical uncertainty What is the chance that an electron with energy E 2 will be found in orbit r 1 ?
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Quantum mechanical uncertainty Beyond theory-laden facts: Observations can change measurement outcomes. Old paradigm: Who decides position is a good thing to measure?
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How can QM be “true”, given all this uncertainty? Statistical predictions are highly uncertain for a few particles, and very accurate & precise for systems of many particles: modern electronics (e.g. semiconductors) diagnostics (scanning tunnelling microscope, SEM, atomic force microscope) lasers quantum computing
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How to make decisions, in the face of uncertainty? “The idea that the value of pursuing the truth rests on the possibility of certainty is a myth.” (Lynch, 27)
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Looking ahead
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EVERYONE: remember to Give feedback to your study group members on their Research Progress reports – THIS WEEK Take the online Plagiarism quiz from week 6 if you have not already done so – THIS WEEK Correction: “Common knowledge” means whatever your peers can be sure to know without looking it up. CITE SOURCE for everything else.
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Research Progress reports Get specific What is the strongest evidence AGAINST? What is the strongest evidence FOR? What have you learned?
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