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MathsValidity of Statements and Arguments
Maths
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  • 1. Number Systems
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  • Advanced Algebra
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  • 32. Limits
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  • 39. Vectors
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  • 40. Data Handling
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  • Linear Programming
  • 47. Formulation of Linear Programming Problems
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  • 50. Optimization Problems
  • Mathematical Reasoning
  • 51. Statements
  • 52. Logical Connectives
  • 53. Implications
  • 54. Validity of Statements and Arguments
    • 54.1. Valid and Invalid Arguments
    • 54.2. Rules of Inference
    • 54.3. Deductive Reasoning
    • 54.4. Fallacies in Arguments
  • Numbers
  • 1. Number Systems
  • Algebra
  • 2. Algebraic Expressions
  • 3. Linear Equations
  • 4. Polynomials
  • 5. Quadratic Equations
  • 6. Arithmetic Progressions
  • 7. Inequalities
  • 8. Logarithms
  • 9. Factorisation
  • Geometry
  • 10. Lines and Angles
  • 11. Triangles
  • 12. Quadrilaterals
  • 13. Polygons
  • 14. Circles
  • 15. Coordinate Geometry
  • Mensuration
  • 16. 2D Mensuration
  • 17. 3D Mensuration
  • Trigonometry
  • 18. Introduction to Trigonometry
  • 19. Trigonometric Identities
  • 20. Heights and Distances
  • 21. Trigonometric Functions
  • 22. Inverse Trigonometric Functions
  • Advanced Algebra
  • 23. Sequences and Series
  • 24. Matrices
  • 25. Determinants
  • 26. Complex Numbers
  • 27. Permutations and Combinations
  • 28. Binomial Theorem
  • 29. Sets
  • 30. Relations
  • 31. Functions
  • Calculus
  • 32. Limits
  • 33. Continuity
  • 34. Differentiation
  • 35. Applications of Derivatives
  • 36. Integration
  • 37. Applications of Integrals
  • 38. Differential Equations
  • Vectors and 3D Geometry
  • 39. Vectors
  • Statistics and Probability
  • 40. Data Handling
  • 41. Measures of Central Tendency
  • 42. Measures of Dispersion
  • 43. Correlation
  • 44. Probability
  • 45. Random Variables
  • 46. Probability Distributions
  • Linear Programming
  • 47. Formulation of Linear Programming Problems
  • 48. Graphical Method
  • 49. Linear Programming - Constraints and Feasible Region
  • 50. Optimization Problems
  • Mathematical Reasoning
  • 51. Statements
  • 52. Logical Connectives
  • 53. Implications
  • 54. Validity of Statements and Arguments
    • 54.1. Valid and Invalid Arguments
    • 54.2. Rules of Inference
    • 54.3. Deductive Reasoning
    • 54.4. Fallacies in Arguments
Necessary and Sufficient ConditionsValid and Invalid Arguments

Validity of Statements and Arguments

Validity of statements and arguments explained with logical structure, rules of inference, and simple examples for evaluating reasoning.

1.Valid and Invalid Arguments
Valid and invalid arguments explained with clear meaning, logical structure, and simple examples for mathematical reasoning.
2.Rules of Inference
Rules of inference explained with clear meanings, common logical patterns, and simple examples used in mathematical reasoning.
3.Deductive Reasoning
Deductive reasoning explained with clear meaning, structure, characteristics, and simple examples for logical thinking.
4.Fallacies in Arguments
Fallacies in arguments explained with clear meaning, common logical errors, and simple examples for identifying flawed reasoning.
Necessary and Sufficient ConditionsValid and Invalid Arguments
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