Wednesday, January 31, 2007
A.J.
(This quote is often attributed to Benjamin Franklin, and Alex said he was paraphrasing B.F. when he said it. I don't know.)
Alex Jones said it to Aaron Russo, and A.R. quipped, "In a republic, the sheep would have a gun."
Tuesday, January 30, 2007
Proverbs
O.W.
“Most people are other people. Their thoughts are someone else’s opinions. Their lives a mimicry, their passions a quotation.” Oscar Wilde.
H.L. Mencken
The most dangerous man to any government is the man who is able to think things out for himself. Almost inevitably he comes to the conclusion that the government he lives under is dishonest, insane and intolerable.”
H. Mencken
George Orwell
“If you want a picture of the future, imagine a boot stamping on the human face – forever.” George Orwell
W.D. Gann
The tape is used to fool traders, for often when stocks
look the weakest on the tape, they are the strongest as
accumulation is taking place. At other times when they are
booming and very active and appear the strongest, they are
really the weakest, because the insiders are selling while
everybody is enthusiastic and buying.
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Forewarned is forearmed! It is certainly better to tell the
public before depressing conditions start that they are coming
and let them prepare for them, than to wait until the
crisis is on and then tell them -- as the newspapers do -- what
caused all the trouble. Every effect is the result of a cause,
and the cause must exist long before the effect can be seen
by the general public. The proper thing to do is to determine
the cause and act on it, for if you wait until you can see the
effect, loss in the stock market is certain.
Ecclesiastes
Ecclesiates 1:9-10
Monday, January 29, 2007
W.C.
Albert Einstein
If you make people think they are thinking, they will love you, but if you really make them think they will kill you.
Albert Einstein
IMPLICATION; CONVERSE; CONTRAPOSITIVE
Take two sentences, like "I eat" and "I am hungry". One can say,
IF I am hungry THEN I eat.
But, there may be many other circumstances when one eats, not JUST when one is hungry, so, the converse, i.e.,
IF I eat THEN I am hungry
is not necessarily true. Perhaps it's not the best example, but ...
Perhaps a better example would be "IF it rains THEN I will find myself all wet" BUT, if you find yourself all wet, it doesn't necessarily mean that it rained -- you could have taken a shower, or gone swimming or something.
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Another thing, it is always the case, however, that an implication and it's CONTRAPOSITIVE are equivalent. So,
IF I am hungry THEN I eat
is equivalent to
IF I don't eat THEN I am not hungry. In propositional logic, which is what i study, we symbolize these two sentences as
P -> Q is equivalent to -Q -> -P
[where '-' means NOT and '->' means 'if ... then']
Also, in logic, we say that in the implication 'IF P THEN Q', P is a SUFFICIENT (but not NECESSARY) condition for Q, while Q is a NECESSARY (but not SUFFICIENT) condition for P.
I hope I'm not flogging a dead horse here, but, my favorite way of visualizing an implication is with very simple Venn diagrams. In the implication P->Q, visualize P as a circle, and Q as a bigger circle with P inside it. That is a way to picture P->Q, because if P occurs (i.e. if you're inside circle P), then Q occurs (you are inside circle Q also), but it's dangerous to assume that if Q occurs, P occurs, because the Q circle is bigger, and can occur under different circumstances, i.e., outside the circle P.
Saturday, January 27, 2007
Bob Marley
Bob Marley