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
UK: tutors4me.co.uk
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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Elements of Reason
Chapter 3
Previous Chapter: Communication
of Skills.
About the Next Chapters
Chapters four to eight describe the basic elements of rule- and pattern-based
thought and hint at their benefits and limitations. In particular, the next
three chapters, Implication
Rules, Deception and Chains
of Reason describe basic ideas in reason and logic which everyone should
master. The practice of deception is not encouraged.
- The chapter Implication
Rules presents two logic puzzles to test or improve your reading and
writing. Each consists of a rule and five questions. Answers are
given.
- The chapter Deception
describes faulty and misleading ways of reason and persuasion. It describes
the hype, hype and hype approach too often used for persuasion in
advertisements and public debate.
- The chapter Chains of Reason
describes how to directly use rules one at a time or chain them together,
one after another, for arriving at conclusions and judgments.
These three chapters on reason develop skills needed in daily life. They
provide a standard or model for arriving at conclusions and making decisions:
how to argue politely if you must. They also strengthen basic skills needed in
mathematics, science, technology, writing, persuasion and communication. Reason
and persuasion touch all skills and all disciplines. The further description of
reason and logic relies on the method described and offered in these three
chapters.
The chapter Longer Chains of
Reason indicates the special role of rule-based reason in mathematics. It
describes in a very non-mathematical fashion, the concept of induction, a method
used in mathematics to arrive at conclusions. This concept of induction is an
example of reason used mainly in mathematics or mathematical subjects.
The chapter A Change of Language
introduces the if and only if and iff forms of writing
two-way implication rules.
When ideas in mathematics or another discipline are described instead of
being drawn from implication rules, the role of implication-rule based reason or
logic may be forgotten. But in every discipline including mathematics, signs of
rule- and pattern-based reason are given by the word and phrases from this,
therefore, thus, because, since, as, gives, yields etc. Their presence in
any line of thought indicates a demonstration perhaps of why this or that should
be.
Next Chapter: (4) Implication
Rules - seeing the difference is one way to improve reading, writing and
thinking abilities.
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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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