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Online Volumes (Book Orders)
1,  Elements of Reason. 1996
1A. Pattern Based Reason  1995
1B. Math Curriculum Notes 1996
2. Three Skills for Algebra  1995
3.
_Why_Slopes_&_More_Math_1995

More Site Areas 
1.  Solving Linear Equations  2005
2.-Fractions-Rates-Proportns-Units-2006
3.  Algebra, Odds & Ends, HS level-2001
4.-Euclidean-Geometry/Complex No.s 
5.  Analytic Geometry/Functions 2006
6.  Number Theory. 2006-7
7.  Complex Numbers More 2001
8.  Calculus Introduction 2005
More Site Areas 
9   Real  Analysis 1995
10. Secondary IV? maths 2006-7
11. Math Education Essays  2006-7
12. LaTeX2HotEqn: 2004
13. Electric Circuits Etc  2007
14. Quebec Math Education 2004
15-Prequel-to-the-How-TOs-06-2008
How TOs/ Ref.-08- 2008
1. Arithmetic Reference
2. Algebra 
3. More Algebra 
4. Geometry  
5. More Geometry
6. Calculus
7. Logics in Maths

Logic and Critical Thinking - References

For or from the book  Finite Mathematics  by Stefan Waner and Steven R. Costenoble, Here is a great guide to the  traditional way of  presenting logic. formally
Chapter L: Introduction to Logic (Text and Complete Exercise Sets On-Line; a complete text version of this chapter can be downloaded here in pdf format)
Introduction
L.1 Statements and Logical Operators
L.2 Logical Equivalence, Tautologies and Contradictions
L.3 The Conditional and the Biconditional
L.4 Tautological Implications and Tautological Equivalences
L.5 Rules of Inference
L.6 Arguments and Proofs
L.7 Predicate Calculus
 
  1. Symbolic Logic Notes
  2. Real World Reasoning - Pointers to essay and fallacies (false reasoning).
  3. Mission Critical, an interactive tutorial for critical thinking, in which you will be introduced to basic concepts through text and exercises.
  4. Resources for Critical Thinking
  5. Guide to Philosophy on the Net
  6. Medieval Theories of Practical Reason - Part of the Stanford Encyclopedia of Philosophy, almost a digression from it.
  7. Persuasion - Methods of.
  8. Fairness and Accuracy in Reporting

More Links, Serious and Fun

Mission Critical (Main Menu)
www.sjsu.edu/depts/itl/graphics/main.html

Fallacies and Non-Rational Persuasion

 

Online Logic Puzzles/Games

  1. Battleship
  2. Peg Solitare
  3. Cut The Knot
  4. Elementary Brain Teasers 
  5. Figure This (NCTM)
  6. Interactive Fun Puzzles (many logic puzzles for both younger and older children)
  7. Marbles and Row Puzzle
  8. Mahjongg Puzzle
  9. Math Puzzles (from Discovery School)
  10. Triple Quintzee (like yahtzee)
  11. Zig Zag
  12. Math Games (by Math Playground)
  13. Logic Games (by Math Playground)

 

 

 

 

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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What is a Variable
  Calculus Starter Guide  Vol 1 Foreword,  
 
 
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