Assam HS Class 11-12 Logic and Philosophy study plan
Assam HS Class 11-12 Logic and Philosophy · Give each week a clear focus.
8 weeks · About 7 hours per week
Categorical Syllogism and Fallacies & Categorical Propositions, Distribution and Immediate Inference
Distinguish the four figures of categorical syllogism and identify their valid moods (e.g., Barbara, Celarent) using the traditional mnemonic names.
Apply the six rules of the categorical syllogism to detect formal fallacies in given arguments, including illicit major, illicit minor, and undistributed middle.
Explain the concept of distribution for A, E, I, and O propositions and determine the distribution status of each term in a proposition.
Construct counterexamples to invalid syllogisms by substituting terms while preserving the form.
Your checkpoint
Create a one-page reference sheet listing valid moods for each figure with their mnemonic names and a worked example of a fallacy detection for each of the six rules.
Categorical Syllogism and Fallacies & Categorical Propositions, Distribution and Immediate Inference
Classify fallacies into formal and informal categories, and identify specific fallacies such as equivocation, amphiboly, composition, division, and petitio principii in short passages.
Evaluate extended arguments (3–5 sentences) for multiple fallacies and justify each identification with reference to the definition.
Convert ordinary-language arguments into standard categorical form and test their validity using Venn diagrams or rules.
Distinguish between immediate inferences (conversion, obversion, contraposition) and mediate inference (syllogism).
Your checkpoint
Complete a set of 10 fallacy-identification exercises (mix of formal and informal) with written explanations, scoring at least 8/10 correct.
Nature and Scope of Logic; Logic and Language & Terms, Propositions and Classification of Propositions
Define logic and explain its nature and scope, including the distinction between formal and material logic, and between deductive and inductive logic.
Analyze the relationship between logic and language: functions of language (informative, expressive, directive) and the distinction between cognitive and emotive meaning.
Identify and define terms, and classify terms by comprehension and extension, including singular, general, collective, and abstract terms.
Classify propositions by quantity, quality, and relation, and distinguish categorical from hypothetical propositions.
Your checkpoint
Write a 300-word essay explaining how language can obscure logical form, using at least three examples of ambiguous or vague terms.
Symbolic Logic: Propositional Calculus and Truth Tables
Translate English sentences into propositional calculus using symbols for negation, conjunction, disjunction, conditional, and biconditional.
Construct truth tables for compound propositions and determine tautology, contradiction, and contingency.
Test the validity of argument forms using the truth-table method (full and short) and identify common valid forms (modus ponens, modus tollens, disjunctive syllogism).
Apply the rules of inference and replacement to construct formal proofs of validity.
Your checkpoint
Solve 15 propositional calculus problems: 5 translations, 5 truth-table validity tests, and 5 formal proofs, with at least 12 correct.
Inductive Reasoning, Analogy and Scientific Method
Distinguish inductive reasoning from deductive reasoning, and explain the problem of induction and the role of probability.
Analyze analogical arguments: identify the premises, conclusion, and criteria for strength (relevance, number, and variety of similarities).
Describe the steps of the scientific method (hypothesis, observation, experiment, verification) and distinguish between hypothesis and theory.
Evaluate the strengths and weaknesses of Mill's methods of experimental inquiry (agreement, difference, concomitant variation, residues).
Your checkpoint
Design a simple experiment or observational study on a topic of your choice, outlining the hypothesis, variables, and which Mill's method is used, in about 200 words.
Nature and Branches of Philosophy; Metaphysics and Epistemology
Define philosophy and outline its major branches: metaphysics, epistemology, ethics, aesthetics, and logic.
Explain key metaphysical concepts: being, substance, causation, and the mind-body problem, with reference to at least two philosophical positions.
Compare rationalism and empiricism as epistemological theories, including the roles of reason and experience in knowledge acquisition.
Discuss the nature and scope of epistemology: knowledge as justified true belief, and the Gettier problem.
Your checkpoint
Create a comparative table of rationalism vs. empiricism covering key proponents, sources of knowledge, and criticisms.
Schools of Indian Philosophy
Outline the main schools of Indian philosophy, distinguishing orthodox (āstika) and heterodox (nāstika) systems.
Explain the core tenets of Cārvāka, Jainism, and Buddhism, including their views on knowledge, reality, and ethics.
Summarize the key doctrines of Sāṃkhya, Yoga, Nyāya, Vaiśeṣika, Mīmāṃsā, and Vedānta (Advaita).
Compare the concepts of pramāṇa (means of knowledge) in Nyāya with Western epistemic concepts.
Your checkpoint
Prepare a chart or flashcards for each of the nine schools with their founder, key text, and central doctrine.
Nature and Scope of Logic; Logic and Language & Terms, Propositions and Classification of Propositions & Categorical Propositions, Distribution and Immediate Inference & Categorical Syllogism and Fallacies & Symbolic Logic: Propositional Calculus and Truth Tables & Inductive Reasoning, Analogy and Scientific Method & Nature and Branches of Philosophy; Metaphysics and Epistemology & Schools of Indian Philosophy
Review all domains by solving a full-length practice test under timed conditions.
Identify weak areas from the practice test and revisit those topics using summaries and flashcards.
Practice writing concise answers (2–3 sentences) for definitional and explanatory questions.
Memorize key Sanskrit terms and their English equivalents for Indian philosophy.
Your checkpoint
Complete a timed mock exam (3 hours) and score at least 70%, with a personalized error log listing mistakes and corrections.
Milestones
Week 2: Can correctly analyze 8 out of 10 syllogisms for validity and identify the fallacy in 8 out of 10 mixed passages.
Week 4: Can translate 10 English sentences into propositional logic and construct truth tables for 5 compound propositions without errors.
Week 6: Can explain the difference between rationalism and empiricism and list three key proponents of each, and define five metaphysical terms accurately.
Week 8: Achieves at least 70% on the full-length mock exam and has a complete error log with corrections for all mistakes.