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10 Modules / ~100 pages
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The Philosophy of Logical Reasoning
( 25 Modules )

Module #1
Introduction to Logical Reasoning
Overview of the course, importance of logical reasoning, and brief history of logic
Module #2
Basic Concepts in Logic
Definition of logic, arguments, premises, conclusions, validity, and soundness
Module #3
Types of Logical Arguments
Categorical, hypothetical, and conditional arguments, and their differences
Module #4
Propositional Logic
Introduction to propositional logic, truth tables, and logical operators
Module #5
Predicate Logic
Introduction to predicate logic, predicates, subjects, and quantifiers
Module #6
Symbolic Notation
Introduction to symbolic notation, syntax, and semantics in logical reasoning
Module #7
Fallacies and Errors
Common fallacies and errors in logical reasoning, including ad hominem and straw man
Module #8
Deductive and Inductive Reasoning
Differences between deductive and inductive reasoning, and their applications
Module #9
Abductive Reasoning
Introduction to abductive reasoning, and its role in hypothesis formation
Module #10
Philosophical Roots of Logical Reasoning
Influence of ancient Greek philosophers, such as Aristotle and Stoicism, on logical reasoning
Module #11
Medieval and Modern Developments
Contributions of medieval and modern philosophers, such as Boole and Frege, to logical reasoning
Module #12
Philosophical Applications of Logical Reasoning
Applications of logical reasoning in metaphysics, epistemology, and ethics
Module #13
Critical Thinking and Argumentation
Critical thinking skills, identifying and evaluating arguments, and constructing sound arguments
Module #14
Logic and Language
Relationship between logic and language, including ambiguity, vagueness, and context
Module #15
Paradoxes and Dilemmas
Famous paradoxes and dilemmas, such as the Liar Paradox and the Trolley Problem, and their implications
Module #16
Probability and Uncertainty
Introduction to probability theory, Bayes theorem, and decision-making under uncertainty
Module #17
Cognitive Biases and Heuristics
Cognitive biases and heuristics, and their impact on logical reasoning and decision-making
Module #18
Formal Systems and Model Theory
Introduction to formal systems, model theory, and their applications in logical reasoning
Module #19
Gödels Incompleteness Theorems
Gödels incompleteness theorems, and their significance for logical reasoning and foundations of mathematics
Module #20
Logic and Artificial Intelligence
Applications of logical reasoning in artificial intelligence, including expert systems and knowledge representation
Module #21
Logic and Cognitive Science
Applications of logical reasoning in cognitive science, including cognitive psychology and neuroscience
Module #22
Logic and Philosophy of Science
Applications of logical reasoning in the philosophy of science, including scientific methodology and confirmation theory
Module #23
Logic and Ethics
Applications of logical reasoning in ethics, including moral reasoning and decision-making
Module #24
Logic and Politics
Applications of logical reasoning in politics, including argumentation and policy analysis
Module #25
Course Wrap-Up & Conclusion
Planning next steps in The Philosophy of Logical Reasoning career


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