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YOU are better than YOU think. Show
yourself how:
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Logic
chapters 1 to 5 re- appear not in sequence, as is or longer,
in Volume 1A, Pattern Based
Reason, Bon Appetite.
Logic
Mastery
Amazing, Amusing, Amorous, Delicious, Delightful, Edifying,
Strengthening Elixir.
It eases work & learning difficulties Makes the hard easier. Opens eyes.
Leads to greater precision.
in reading and
writing
Logic
mastery makes the hard, easier. Logic
mastery leads to better, stronger and richer comprehension. Logic
mastery improves reading and writing. Logic
mastery ease learning difficulties. Logic
mastery gives a headstart. In sum, logic
mastery will develops critical thinking, improve reading and writing,
and give a firmer base for work and studies at many levels. Good luck.
After logic,
(a) continue reading Three
Skills for Algebra, chapters 8 to 14 and do so alongside site area on solving
liinear Equations ; or (b) see this calculus
starter lesson and Volume 3, Why
Slopes & More Math, chapters 2 to 6;
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Caution: Site advice is approximately
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What may be learnt and when depends on how skills
and concepts are developed. Making the hard easier and clearer will allow
earlier & richer development of skills and concepts.
Try the Twiddla
Whiteboard. In principle, it allows
to people to draw and chat together online on a copy of this webpage or a clean
sheet. The chat may be via text or audio. Visit www.twiddla.com
to set up whiteboards to work with the webpage of your choice.
For online automated help in senior high school maths & calculus,
visit quickmath.com For Automatic
Calculus and Algebra Help with derivatives, integrals, graphs, linear equations,
matrix algebra, visit calc101.com
With overlap, each site quickmath
& calc101offers a different range of
services, some free, some not, all based on webmathematica. Good luck.
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Previous: Chapter 10 Intro: Where
does Responsibility begin or end, or who is to blame?
Limits to Freedom
Human activities are based on regularity. In our daily lives, we know when we
do a first action.
Human activities are based on regularity. In our daily lives, we know
when we do a first action A, then a second action B will
(almost always) occur. The first action A is said to be a cause of the
second B. Of course, the second event B may have another cause.
That is, the second action B may occur without the first action A
if there is a third action C with the property that when this third
action C occurs, so does or must the second action B.
As a human being, if you deliberately make a situation A happen, then
you caused A to occur deliberately. The word deliberately is often
omitted. It is often understood or assumed, if it is not spoken. On the other
hand if you accidentally make a situation A happen, then you caused A
accidentally. Are you responsible for harmful results that you accidentally
caused? Your responsibility in this matter may depend on what you knew and on
your local legal system. Of course, when accidental situation A appears
to be good, many will claim credit if not responsibility.
The removal of responsibility and liability for our actions gives greater
freedom to act. For instance, when drivers are not held liable for their
actions, the roads and highways become more dangerous. Damages and compensation
for accidents are not automatically available. Liability and insurance here
lessen the material, but not the human, consequences of accidents. Most states
and countries require car drivers and owners to pass driving exams and to pay
for insurance.
In some states and countries, an uninsured or an uninsurable driver is
allowed one accident before being forbidden to drive. In other states or
countries, that represents one accident too many. So people without insurance
are not allowed to drive. For the safety of myself and my neighbors, I prefer to
make my home in a region where driving without insurance is forbidden. Insurance
is needed so that people hurt through accidents may be compensated, that is,
taken care of.
In contrast to the situation with cars, the liability of businesses and
industries is often removed or lessened via regulation or specially written (or
loosened) laws. But the removal of legal liability also removes the enforcement
of responsibility. Without this liability, reckless and uninsured drivers and
their vehicles are tolerated and encouraged. If insurance is not affordable for
some new industrial activity then the scale of that activity should be decreased
until the price of full liability insurance becomes feasible. There should be no
rush. An idea that is good today can still be pursued tomorrow. Uninsurable
drivers and uninsurable vehicles should not be moving in the public domain!
Chapter Sections: [ Limits to Freedom ] [ Principles for Responsibility ]
Next: Principles
for Responsibility
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www.whyslopes.com
Volume 1A, Pattern Based Reason
Chapters 1 to 24
FOREWORD
Three Remarks
1 Introduction
2 Communication
3. Elements of Reason
4 Implication Rules
5. Deception
6 Chains of Reason
7 Longer Chains
For & From Consistency
8. Language Change
9 Next Chapters
10 Responsibility
11 Accidental Patterns
12 Knowledge Islands
13 Euclidean Logic
14 Deductive
& Empirical Views of Mathematics
15 Objectivity
16 Origin of Rules
and Patterns
17 Objective Ways
18. Waking up
19. Symbols & Logic
20. Pronouns or Symbols
21. Truth Tables I.
22. Truth Tables II
22. Biconditional
22. Contrapositive
23. IF-THEN table
24. Indirect Reason Again
To reason often means to persuade someone of
the need for an idea or action. That someone could be yourself. So be
careful.
Vol 1A Postscripts
- online only
+Proof by
Absurdity alias proof by contradiction
+How the demand
for consistency supports the law of the excluded middle
There is a difference between
knowing how to spend money,
and having money to spend.
There is likewise a difference
between mastering a skill
and having meeting a situation in which it applies.
.
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