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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Chaos
Chapter 16
Previous: Scientific
Method - Reaction to Failed
Tests
Chaotic situations make observation and pattern spotting difficult, perhaps
impossible. In situations which cannot be controlled, there is no observable
normal or stable state of affairs to which the system returns after any
disturbances. In such situations, reproducibility of results is not seen. There
is too much movement for any stable pattern to emerge. Each situation is not
repeated nor seen again by an observer.
Knowledge is most certain in dealing with machines and bureaucracies where
behavior is repetitive, controllable and reproducible. The rules for their
operation are firm and rigid. Less certain knowledge appears in uncontrollable,
and non-reproducible situations. Think of economics or weather systems. These
are examples of uncontrollable circumstances. Rules describing their behavior
may never be found.
What can we do in uncontrollable irreproducible situations? The answer
perhaps is to look for patterns. These may provide some control. Chaos is
reduced each time a reliable pattern is spotted and confirmed.
Chapter Sections: [ 16 Private Agreements ] [ 16 Public Laws ] [ 16 Physical Laws ] [ 16 Accidental Patterns ] [ 16 Reliable(?) Patterns ] [ 16 Scientific Method ] [ 16 Reaction to Failed Tests ] [ 16 Chaos ] [ 16 Statistical Inference ] [ 16 End Notes ]
Next: Statistical Inference and It
Limitations
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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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