Pattern
Based
Reason
understanding & explaining
Reason and Math
Volume 1A
Printed in Canada
ISBN 0-9697564-5-3
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To reason often means to persuade someone of
the need for an idea or action. That someone could be yourself. So be
careful.
Learn More: If this work is too
your liking, you may also like the foreword of Volume 1, Elements of
Reason. with its description of all site volumes.
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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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Explore collaborative whiteboards
from groupboard,
twiddla or
scriblink.
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Conclusions From a Single Rule
Direct and Indirect Usage
Previous: Chains of
Reason, Chapter Entrance
Pretend the following implication rule is never disobeyed.
Each time Suzy the cat is on the ground and Suzy sees a dog, Suzy climbs a
tree and stays in it for at least five minutes.
Direct Usage
What can we say for sure when Suzy the cat sees a dog? One possible answer is
that Suzy the cat stays in a tree for at least five minutes. Another possible
answer is that Suzy the cat climbs a tree. A more complete answer is that Suzy
the cat climbs a tree and stays there for at least five minutes. Each of these
answers or conclusions is correct. The last conclusion or result is fuller and
more complete than the others. It gives more information. Which answer or
conclusion is wanted here depends on who is interested in what. When many
conclusions are possible, we state only those conclusions of interest to us. We
do not have to state the most complete conclusion. The choice is ours.
Indirect Usage
What can you say for sure if Suzy the cat has not climbed nor stayed in any
tree for at least five minutes? To check your answer, you might have to remember
or revisit the questions in the chapter Implication Rules. But you should
do this after you have read the following words.
Chapter Subsections: [ Direct and Indirect Usage of a Single Rule ] [ Linking and Chaining Two Rules Together ] [ Linking and Chaining Several Rules Together ] [ Deductive, Inductive or Empirical Reason ] [ Chapter 6, Chains of Reason (Deductive Reason), Pattern Based Reason ] [ Linking and Chaining ] [ Putting Several Rules Together ] [ Deductive ]
Next: Linking and Chaining
Two Rules Together
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Foreword +
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
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
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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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