CHSE Odisha Elective Logic study materials
CHSE Odisha Elective Logic study resources

CHSE Odisha Elective Logic study plan

CHSE Odisha Elective Logic · Give each week a clear focus.

8 weeks · About 6 hours per week

Week 1

Categorical Syllogism: Rules, Figures and Moods & Terms, Propositions and Categorical Statements

  • Distinguish the four categorical proposition forms A, E, I and O by their quantity and quality, writing out the standard form of each from ten given ordinary-language sentences

  • Identify the major, minor and middle terms in fifteen syllogisms and label the figure of each

  • State and apply the six general syllogistic rules, and diagnose which rule a flawed syllogism breaks

  • Construct a valid syllogism in each of the four figures from a supplied pair of terms

Your checkpoint

A one-page term-and-figure reference sheet plus 20 syllogisms solved with rule-violation notes, self-scored at 80% or better

Week 2

Categorical Syllogism: Rules, Figures and Moods & Immediate Inference and the Square of Opposition

  • Enumerate the 24 valid moods and match each to its figure, testing doubtful cases against the general rules rather than memorised lists

  • Draw and interpret the square of opposition, stating which of the four relations (contradictory, contrary, subcontrary, subaltern) holds between given pairs

  • Apply conversion, obversion and contraposition to A, E, I and O propositions and identify where each transformation is valid or merely accidental

  • Solve ten enthymemes by supplying the suppressed premise and checking validity

Your checkpoint

A worked set of 15 immediate-inference exercises and 10 enthymemes, each with the transformation named and validity justified in one line

Week 3

Propositional Logic: Truth Functions and Truth Tables & Techniques of Proof and Inference Rules

  • Translate ten English compound sentences into symbols using negation, conjunction, disjunction, conditional and biconditional

  • Build full truth tables for five argument forms and classify each as tautology, contradiction or contingency

  • Test five arguments for validity by the truth-table method and by the short (indirect) method, comparing results

  • Apply the rules of inference - modus ponens, modus tollens, hypothetical syllogism, disjunctive syllogism, constructive dilemma - to complete five natural-deduction proofs

Your checkpoint

A truth-table workbook of 10 completed tables plus 5 formal proofs written line by line with the rule cited at each step

Week 4

Fallacies: Formal and Informal & Symbolic Logic and Logical Form (basic)

  • Classify fifteen given fallacies as formal or informal, naming the specific type in each case

  • Distinguish the major informal fallacies of relevance, ambiguity and presumption, and explain in one sentence why each fails as an argument

  • Rewrite five fallacious passages into valid form or show why the argument cannot be repaired

  • Symbolise five short arguments to display their logical form and state whether the form itself is valid

Your checkpoint

A fallacy log of 15 passages with named fallacy, diagnosis and correction, plus a mid-course self-test of 25 mixed items scored and reviewed

Week 5

Inductive Reasoning: Analogy, Generalisation and Causation & Scientific Method and Hypothesis

  • Evaluate five analogical arguments by stating the relevant similarities and the disanalogies that weaken them

  • Assess five inductive generalisations for sample size, representativeness and counterexample risk

  • Apply Mill's methods of agreement, difference, concomitant variation and residues to four described experiments

  • Formulate a testable hypothesis for a given problem, state its operational definition and identify the predicted observable consequence

  • Outline the steps of the scientific method and locate where hypothesis-testing and verification fit

Your checkpoint

A short report of about 600 words analysing three supplied research scenarios, naming the inductive method used and stating whether the hypothesis is confirmed, disconfirmed or undecided

Week 6

Introduction to Logic: Nature, Scope and Utility & Terms, Propositions and Categorical Statements & Immediate Inference and the Square of Opposition

  • Define logic as the study of valid inference and distinguish it from psychology of thinking and from rhetoric

  • Explain the utility of logic in law, science and everyday decision-making with three concrete illustrations

  • Distinguish terms from propositions, and classify terms by distribution in A, E, I and O statements

  • Re-derive the square of opposition and immediate inferences from memory without reference notes

  • Answer ten short-answer questions on nature, scope and utility in exam-style wording

Your checkpoint

A written answer sheet of 10 short-answer questions plus one 300-word essay on the utility of logic, self-marked against the syllabus

Week 7

Techniques of Proof and Inference Rules & Propositional Logic: Truth Functions and Truth Tables & Symbolic Logic and Logical Form (basic)

  • Complete eight formal proofs, including conditional proof and reductio ad absurdum where permitted

  • Convert five ordinary-language arguments into propositional symbols and test each for validity

  • Distinguish logical form from content, and show with two examples how identical form can carry different content

  • Complete a timed 45-minute mixed set of proof and truth-table problems under exam conditions

Your checkpoint

A timed mock section of 15 items on propositional logic and proof, scored with an error list grouped by mistake type

Week 8

Categorical Syllogism: Rules, Figures and Moods & Fallacies: Formal and Informal & Inductive Reasoning: Analogy, Generalisation and Causation & Scientific Method and Hypothesis

  • Revise the heaviest domains - syllogism, fallacies, induction and scientific method - through spaced retrieval rather than re-reading

  • Complete two full-length timed mock papers covering all ten domains and record scores by domain

  • Re-teach any domain scoring below 70% by writing a one-page summary from memory, then checking it

  • Compile a final one-sheet formula and rules card covering moods, figures, inference rules and Mill's methods

Your checkpoint

Two completed mock papers with a domain-wise score table and a personal weak-area correction list of no more than ten items

Milestones

Week 2: Can label figure and mood of any syllogism and apply all six rules without notes, scoring at least 80% on a 20-item syllogism set

Week 4: Scores at least 75% on a 25-item mixed test covering domains 1 to 5 and 10, and can name and correct any fallacy presented

Week 6: Completes a full truth table and a five-line formal proof unaided within 20 minutes, and answers nature-and-scope short questions in exam wording

Week 8: Averages at least 70% across two full mock papers with no single domain below 60%, and holds a completed rules card and weak-area list