Karnataka II PUC Logic (KSEAB) study plan

State the rules of validity for categorical syllogism (distribution of terms, rules of quality and quantity) and apply them to decide validity of at least ten standard-form syllogisms

Rewrite everyday arguments into standard form (major premise, minor premise, conclusion) and identify the mood and figure of each

Distinguish formal from informal fallacies and name the specific fallacy in ten given passages

Construct Venn diagrams for two-term and three-term categorical statements and use them to test validity

Classify categorical propositions by quantity and quality and write their A, E, I, O forms with standard quantifier wording

State and apply the traditional square of opposition to derive contradictories, contraries, subcontraries, and subalterns

Perform conversion, obversion, and contraposition on given propositions and label each as valid or invalid

Identify and correct defects in definition (too broad, too narrow, circular, ambiguous) in given examples

Translate natural-language arguments with 'only', 'unless', 'all but', and 'none but' into standard categorical form

Detect the fallacies of undistributed middle, illicit major, illicit minor, and four terms in prepared arguments

Reduce an enthymeme to its missing premise and test the completed argument

Write out the full truth-table test for validity on simple two-variable arguments

Symbolize compound statements using negation, conjunction, disjunction, conditional, and biconditional with consistent notation

Build complete truth tables for statements with up to three variables and classify them as tautology, contradiction, or contingent

Test argument validity by the indirect (short) truth-table method

Distinguish inclusive from exclusive disjunction and material from ordinary implication in given sentences

Apply the rules of inference (modus ponens, modus tollens, hypothetical syllogism, disjunctive syllogism, constructive and destructive dilemma, simplification, conjunction, addition) in multi-step proofs

Apply the rules of replacement (De Morgan, commutation, association, distribution, double negation, transposition, exportation, material implication, equivalence) to transform formulas

Construct formal proofs of validity for at least eight symbolized arguments

Use conditional proof and indirect proof where direct derivation is awkward

Distinguish induction from deduction and identify kinds of induction: enumeration, analogy, causal inference, and statistical generalization

Explain Mill's methods (agreement, difference, joint method, concomitant variation, residues) and match them to described experiments

Outline the steps of the scientific method and the roles of hypothesis, prediction, experiment, and confirmation

Identify weaknesses in inductive arguments such as hasty generalization, false cause, and biased sample

Define logic, state its nature as a normative science of reasoning, and explain its relation to psychology and grammar

Distinguish sentence, proposition, and statement, and identify the cognitive and emotive uses of language

Explain the functions of language (informative, expressive, directive, performative) and detect emotive and persuasive uses in given passages

Identify and correct ambiguity, vagueness, and equivocation in given examples

Review all eight domains using a checklist and re-solve one representative problem from each

Take two full-length timed mock papers under exam conditions and score them

Analyze every wrong answer, tracing it to a specific rule, definition, or symbolization error

Memorize the standard rule sets, square of opposition, and fallacy names for quick recall