CHSE Odisha Elective Logic study plan
CHSE Odisha Elective Logic · Give each week a clear focus.
8 weeks · About 6 hours per week
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
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
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
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
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
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
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
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