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Critical Thinking, Who Needs It? Below are the leads to
Numeracy Nuggets, our new series on critical thinking tools from the
annals of numeracy. George Rebane plans to contribute fresh Numeracy
Nuggets every three to four weeks and welcomes others to submit their
offerings in the same vein. Each Numeracy Nugget concludes with a
'homework problem' for the numerate reader. The solution to each is
given at the end of the next Nugget in the series.
Numeracy Nugget #1 - Critical Thinking, Who Needs It?
'You can't do just ONE thing.' That bit of wisdom has now fastened
itself in the heads of most thinking people in the land as they puzzle
over everything from global warming to letting their teenager stay out
past midnight. Every decision we act on sets in motion large and small
ripples in life's spider web of interconnections. We want to do what is
good and just, but quickly discover that there is no one common set of
criteria to cover 'good' and 'just' even if we were all Lutherans, or
whatever.
You can download a complete pdf version of Numeracy Nugget #1 here.
Numeracy Nugget #2 - Tragedy of the Commons, Etc.
Garrett Hardin, the late professor emeritus at UC Santa Barbara, was an
ecologist and world-class thinker. His long list of original ideas and
writings, worth googling up on a quiet evening, pricked many sacred
sentiments of the right and left. Hardin was much concerned with
population growth and the kinds of decisions required in a world with
too many people kind of like the decisions we are pondering here in
Nevada County. 'The Tragedy of the Commons' , first published in 1968,
is perhaps the best-known from his rich legacy.
You can download a complete pdf version of Numeracy Nugget #2 here, including answer to NN #1 question.
Numeracy Nugget #3 - The Shades of Belief.
What does it mean when we hold a belief? We constantly say that we
believe this to be the case or that to be the case. Does 'I believe it's
going to rain tomorrow' mean that we are certain that it will rain and
would bet the farm on it? Or does it mean that we think rain is 'likely'
tomorrow? Dictionary definitions of 'believe' are all over the place
from "to accept as true or real" through "to expect or suppose" to "have
an opinion". We know that to hold a belief does not have to mean that
something is absolutely true since we're used to saying things like
"Seeing that strengthens/ weakens my belief in ...". About all that most
people would agree on is that to believe some statement, tenet, or
proposition is to behave in a way that indicates to other people that
the tenet has a chance of being true.
You can download a complete pdf version of Numeracy Nugget #3 here, including answer to NN #2 question.
Numeracy Nugget #4 'He Probably Doesn't
Understand Probability'
'He Probably Doesn't Understand Probability' - the title of this nugget
is probably a true statement, but to accept that requires that you first
understand some things about probability. A person for whom the concept
of uncertainty and probability is foreign will have a hard time
understanding or talking reasonably about social issues important to all
of us.
You can download a complete pdf version of Numeracy Nugget #4 here, including answer to NN #3 question.
Numeracy Nugget #5: Influence Factors Diagrams – How to Understand and Communicate Complex Issues.
'Influence Factors Diagrams - How to Understand and Communicate Complex
Issues' is the title of this Nugget. Almost all of us consider
ourselves above average in the ability to think clearly, or more
precisely, to be able to think critically. We spend our days
effortlessly second guessing and pointing out the obvious foibles and
missed opportunities that others, ranging from Congress to the local dog
catcher, commit and cause us suffering. The right answers seem to come
to us effortlessly. The only time that a doubt fleetingly darkens our
brow is when someone in our presence disagrees with our conclusions or
beliefs. But we quickly dispense with the annoyance by either telling
the interloper that the contending view is only their opinion with the
implication that it should be weighted equally with about one hundred
million other such varying opinions. Most of us are fully armored to
repel any inconvenient facts.
You can download a complete pdf version of Numeracy Nugget #5 here, including answer to NN #4 question.
Numeracy Nugget #6: Modeling the Future - For Whom the Bell Curve Tolls
More and more public policy is based on poorly understood computer models of very
complex processes like regional air quality, local traffic congestion, and worldwide climate
change. Paul Sieving wrote an excellent yet very brief article (The Union’s Other
Voices, 6 March 2007) that highlighted how the output of such predictive models may
lead us to wrong conclusions and, therefore, bad policy. However, it turns out the picture
he painted is too rosy, this perhaps because he tried to keep the message short – a sad requirement
of the times. [Read Nugget #6 for more details]
You can download a complete pdf version of Numeracy Nugget #6 here,
including the answer to NN#5.
Numeracy Nugget #7: When Planning to Procure –
Pick Any Two
When someone (especially in government) needs to procure some major
good or service, there inevitably arise questions of what should it do,
how much will it cost, and when will it be ready. And inevitably most
such procurements will not meet the expectations when the procurement
project was first adopted. This is so because of a number of things
which come up to frustrate the original procurement plan - e.g. Murphy's
Law and all that.
In NN7 we take a look at how to avoid some of the biggest mistakes that
should be known by government and also individuals who either take an
interest in how government spends money or how they buy stuff for
themselves or their company. NN7 also has the solution to the NN6
problem and, of course, presents a new one for your .
You can download a complete pdf version of Numeracy Nugget #7 here including the
answer to NN#6.
Numeracy Nugget #8 - The Singularity and Its Early Effects
"Understanding what the Singularity is will explain a lot of things
happening in the world from here on. It early effects are felt by us
all and most strongly by the world's poor and ignorant who are already
the most impacted. In this Nugget I will attempt a short explanation
that will astound most people and will make many shake their heads in
disbelief. Enough references will be given to enable the independent
thinkers draw their own conclusions."
You can download a complete pdf version of Numeracy Nugget #8 here including the
answer to NN#7
Numeracy Nugget #9 - Thinking About Income Inequality
"Recent reports on the national income inequality issue
(e.g. 'A
Generation of Widening Inequality') give the casual reader the
impression that something unnatural or wrong is going on in the country.
In this nugget we take a look at some of the important factors that
influence how wages are distributed in an advanced economy today paced
by accelerating technology."
You can download a complete pdf version of Numeracy Nugget #9 here including the
answer to NN#8
Numeracy Nugget #10 - The WoRm Formula
If you like hiking, golfing, camping, hunting, boating or any other
activities that take you out of doors, then you will find the WoRm
Formula, borrowed from the military, to be a useful tool to have in that
toolcase you carry between your ears.
For you investors, this nugget also contains the solution to the inflation
adjusted return problem given in NN9.
You can download a complete pdf version of Numeracy Nugget #10 here including the
answer to NN#9
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