Employ an online or offline tutor at your own risk from
AU:
tutorfinder.com.au
CDN : findatutor.ca
CDN: .i-tutor.ca
CDN: Montreal Tutors
NZ: findatutor.co.nz
UK: tutorhunt.com
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USA: wiziq.com
USA: ziizoo.com
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YOU are better than YOU think. Show yourself how:
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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
Do not leave here without it - Logic
mastery will develops critical thinking, improve reading and writing,
and give a firmer base for work and studies at many levels. Good luck.
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Caution: Site advice is approximately
correct, for some circumstances, not all. Site How-TOs are logically
developed, but not tried and tested. That leaves room for thought and
refinement.. |
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After logic,
(a) continue reading Three
Skills for Algebra, chapters 8 to 14 and do so alongside site area on solving
linear2007 Equations ; or (b) see this calculus
starter lesson and Volume 3, Why
Slopes & More Math, chapters 2 to 6;
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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Explore collaborative whiteboards from
groupboard, twiddla or
scriblink.
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Previous: Chapter 10, Where
does Responsibility begin or end? Who is to blame?
What do we mean, when we say you have caused something to occur? In life we
may see a pattern that whenever a first situation occurs, so does a second. The
pattern could hold true accidentally. There may be no relationship between the
two situations or events. Alternatively, there might be some relationship. We
need in a sense to measure this relationship. We need to measure how much one
event forces, pushes or contributes to the occurrence of another event. This
measurement signals to what extent the first event is a cause or is the
cause of the second. Observation by itself is suggestive but not conclusive.
Examples to support this view follow.
Suppose, for instance, every morning I leave my home (the first event) before
you leave yours (the second event). This pattern can be seen for ten years or ad
nauseum. My leaving home early does not force you to do so. While the pattern
holds, we see each time the first situation occurs, so does the second. We have
here a one-way implication rule which has not been disobeyed.
My leaving home each morning before you does not force you to rise as well.
Our motives are independent. The implication rule or pattern we see has just
been accidentally followed. There is no guarantee that this accident will repeat
itself forever. One of us could change habits. You might stop going to work
after me.
On the other hand, suppose I was in the habit of visiting you each morning to
invite you to walk to work. Here my habit is linked to yours. The rule if I
leave early, then so do you may hold. This rule is not enforced. It is
voluntarily followed and not disobeyed. I am not the sole cause of your getting
up or leaving home.
Finally, suppose we live in the same house. Further suppose I woke you up
each morning, with the threat of no breakfast if you did not get up. Then I
could be a cause of your getting up each morning. The pattern every time I
get up you get up would not be disobeyed. A pattern or rule can be
accidentally, voluntarily or deliberately obeyed when we deal with human
behavior.
Next: Chapter 12: Islands
and Division of Knowledge
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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.
1A Logic Postscripts
- online only
+Proof by
Absurdity alias proof by contradiction
+How the demand
for consistency supports the law of the excluded middle
+Reality versus or with the aid of Imagination
+Links for reason, logic and crtical thinking
+Three Remarks
+History
Lost or Missing
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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