Critical Thinking & Logic: A Learning Path Through Reasoning, Fallacies & Scientific Method

Belief

A philosophical exploration of belief as a mental state of accepting something as true, from Plato's knowledge-as-justified-true-belief through Hume's psychology of belief to contemporary epistemology.

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Clarity: Meaning, Philosophy & Wisdom

A philosophical exploration of clarity as the lucid grasp of thought, reality, and self, tracing it through Descartes' rationalist method, Wittgenstein's logical analysis, and the broader epistemological demand for transparent understanding.

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Consistency: Meaning, Philosophy & Wisdom

Consistency is freedom from contradiction — the minimal requirement of any rational system of belief. From Aristotle's law of non-contradiction to Gödel's incompleteness, consistency defines the boundary of coherent thought.

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Criticality: Meaning, Philosophy & Wisdom

Criticality is the vigilant stance of evaluating beliefs, arguments, and sources before accepting them. From Socrates to Kant's critique of reason to modern cognitive science, criticality is thinking that refuses to be passive.

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Curiosity

Curiosity is the active desire to know what is unknown — the restless intellectual appetite that drives inquiry, exploration, and the pursuit of understanding for its own sake, beyond any immediate practical need.

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Decision Making

A philosophical exploration of decision making through Aristotle's practical judgment, Stoic rationality, existential choice, and the relationship between character, emotion, and action.

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Discernment: Meaning, Philosophy & Wisdom

Discernment is the practiced ability to distinguish what is true from what merely seems true, and what matters from what does not. Aristotle's phronesis and the logic of evidence converge in the art of sound judgment.

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Doubt: Meaning, Philosophy & Wisdom

Doubt is the philosophical practice of withholding assent from beliefs that lack sufficient justification, serving as the engine of critical inquiry, the foundation of methodical skepticism, and the guardian of intellectual honesty throughout the history of thought.

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Evidence: Meaning, Philosophy & Wisdom

Evidence is the epistemic ground that makes belief rational and knowledge possible. From Bacon's experimental method to Hume's critique of induction, evidence connects perception, testimony, and experience to justified judgment.

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Examination: Meaning, Philosophy & Wisdom

Examination is the careful inspection of beliefs, arguments, and experience before granting them standing. Socrates' examined life, Descartes' methodic doubt, and Wittgenstein's grammatical investigation are three forms of one discipline.

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Falsifiability: Meaning, Philosophy & Wisdom

Falsifiability is Karl Popper's criterion for what counts as scientific: a theory must be capable of being proven wrong. It is the principle that makes knowledge testable, progressive, and permanently provisional.

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Humility

A comparative introduction to humility as a philosophical virtue, examining how Greek, Confucian, and Taoist traditions understand the recognition of human limitation and its role in wisdom.

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Confirmation Bias vs Cognitive Dissonance: Differences

Confirmation bias and cognitive dissonance are both famous mental phenomena, but they are not the same thing. Learn how they differ and how they interact.

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Consciousness vs Mind: Key Differences Explained

The mind is the whole system of mental capacities — perception, belief, desire, reasoning; consciousness is subjective experience. Compare the two and why much of the mind is unconscious.

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Correlation vs Causation: Why Association Is Not Proof

An introduction to the distinction between correlation and causation — why association does not establish cause, the errors that follow from confusing them, and how science tests causal claims.

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Deduction vs Induction: Differences & Examples

Deduction and induction are the two fundamental modes of reasoning. Learn how they differ, how they fail, and how science combines both.

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Fallacy vs Bias: Differences & Examples

Fallacies are errors in the structure of arguments; biases are systematic distortions in thinking. Learn how they differ, overlap, and reinforce each other.

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Functionalism vs Behaviorism: Key Differences Explained

Behaviorism defines mental states as dispositions to behave; functionalism defines them by their causal role in a system. Compare the two theories of mind, their history, and why functionalism replaced behaviorism.

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How to Apply Ethical Theories

Deontology, utilitarianism, and virtue ethics are not museum pieces: they are tools for real decisions. Learn how to use each framework, when each works best, how to combine them, and how to avoid their characteristic failures.

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How to Argue About Morality

Moral disagreements feel personal, but they can be argued well. Learn a structured approach: clarify the question, distinguish facts from values, test the logic, engage the best version of the other view, and disagree without contempt.

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How to Avoid Cognitive Biases: Practical Techniques

Cognitive biases are the mind's default settings, so avoiding them means engineering your environment and process. Learn the techniques that actually reduce bias.

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How to Debate Effectively: Skills and Structure

Debate is structured argument with a purpose. Learn the skills that make debating effective: preparation, structure, listening, rebuttal, and grace under pressure.

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How to Define Consciousness? Criteria, Concepts, and Clarity

How should consciousness be defined? Explore the competing definitions — phenomenal, functional, cognitive, and eliminativist — and the criteria that make a definition useful.

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How to Detect Misinformation: A Practical Checklist

Misinformation spreads faster than corrections. Learn a practical checklist for spotting false, misleading, and manipulated information before you share it.

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Alan Turing: Computation, Intelligence & Philosophy

Alan Turing (1912–1954) created the mathematical theory of computation, broke the Enigma code, and asked the question that still defines AI: can machines think? His Turing machine, Church-Turing thesis, and Turing test transformed logic, philosophy of mind, and computer science.

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Alfred Tarski: Truth, Semantics & Logical Consequence

Alfred Tarski (1901–1983) gave the first mathematically rigorous definition of truth and logical consequence, founding model theory and modern formal semantics. His semantic theory of truth transformed logic, the philosophy of language, and mathematics.

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Amos Tversky: Heuristics, Biases & Decision Science

Amos Tversky (1937–1996) was the cognitive psychologist who, with Daniel Kahneman, founded the heuristics-and-biases program and prospect theory, transforming the study of judgment and decision-making. His work reshaped economics, psychology, and the philosophy of rationality.

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Aristotle

An evidence-led introduction to Aristotle, the fourth-century BCE Greek philosopher whose work shaped ethics, logic, metaphysics, and accounts of human flourishing.

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Bertrand Russell

A comprehensive introduction to Bertrand Russell, the British philosopher who co-authored Principia Mathematica, developed the theory of descriptions, and shaped the analytic tradition through his work on logic, language, and knowledge.

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Charles Sanders Peirce: Philosophy, Quotes & Legacy

Explore Charles Sanders Peirce's philosophy of pragmatism, semiotics, and the pragmatic maxim. Discover the founder of American pragmatism and his theory of signs.

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Christine Korsgaard: Kantian Constructivism and the Sources of Normativity

Christine Korsgaard is a leading contemporary Kantian philosopher whose work on the sources of normativity, moral constructivism, and self-constitution has reshaped the debate between Kantianism and consequentialism in modern ethics.

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Daniel Kahneman: Two Systems, the Remembering Self, and Happiness

An evidence-led introduction to Daniel Kahneman, the Nobel-winning psychologist who showed that the mind runs on two systems, that we judge lives by moments, and that what we remember of experience is not what we lived.

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David Hume

Scottish philosopher whose empiricist investigation of knowledge, causation, and morality reshaped modern philosophy and provoked Kant's critical turn.

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Francis Bacon

Francis Bacon was an English philosopher and statesman who pioneered empiricism and the inductive method, arguing that knowledge must be built from systematic observation and experiment.

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George Boole: Boolean Algebra, Logic & Philosophy

George Boole (1815–1864) was the self-taught English mathematician whose Laws of Thought founded Boolean algebra — the algebra of 0 and 1 that today runs every digital computer. His algebraic logic transformed Aristotle's syllogism into equations and shaped modern formal logic.

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Gottlob Frege: Philosophy, Quotes & Legacy

Explore Gottlob Frege's philosophy, from the Begriffsschrift and the sense-reference distinction to his logicist program and his founding influence on analytic philosophy, philosophy of language, and modern logic.

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A System of Logic by John Stuart Mill

A philosophical guide to John Stuart Mill's A System of Logic (1843) — the great empiricist treatise on reasoning — covering induction, the methods of experimental inquiry, and the logic of the moral sciences.

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A Virtue Epistemology

Ernest Sosa's defining statement of virtue epistemology, recasting knowledge as apt belief produced by intellectual competence and distinguishing animal from reflective knowledge.

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Against Method by Paul Feyerabend

A philosophical guide to Paul Feyerabend's Against Method (1975) — the anarchist critique of universal scientific method — covering the case of Galileo, the argument that "anything goes," and the debate with Popper and Kuhn over how science actually changes.

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Bad Science by Ben Goldacre

A philosophical guide to Ben Goldacre's Bad Science (2008) — the landmark exposure of pseudoscience in medicine and the media — covering the placebo effect, randomized trials, the publication bias, and the defense of honest evidence.

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Critique of Pure Reason

Immanuel Kant's 1781 investigation of the limits and conditions of human knowledge, establishing the critical philosophy that reshaped modern thought.

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Discourse on the Method

A philosophical guide to Descartes's Discourse on the Method, examining its four rules of reasoning, methodical doubt, and the foundations of rationalist philosophy.

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Enquiry Concerning Human Understanding

An introduction to Hume's Enquiry Concerning Human Understanding, the classic empiricist text examining the origins of ideas, causation, induction, miracles, and the limits of human reason.

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How to Win Every Argument by Madsen Pirie

A philosophical guide to Madsen Pirie's How to Win Every Argument — the entertaining handbook of logical fallacies — covering the classic errors of reasoning, their persuasive power, and how to detect and deploy them.

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How We Think

John Dewey's classic study of reflective thinking and education, showing how disciplined inquiry transforms routine belief into genuine understanding.

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Meditations

An evidence-led guide to Marcus Aurelius's Meditations, its Stoic ideas, Roman context, and continuing influence.

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Naming and Necessity

A philosophical guide to Saul Kripke's Naming and Necessity, examining rigid designation, proper names, natural kinds, and necessary a posteriori truths in language.

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Novum Organum by Francis Bacon

A philosophical guide to Francis Bacon's Novum Organum (1620) — the manifesto of the new empirical method of science — covering the idols of the mind, the theory of induction, and the tables of discovery that founded experimental philosophy.

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Analytic Philosophy

An introduction to analytic philosophy, the tradition emphasizing logical analysis, language, and clarity, from Frege and Russell through Wittgenstein and Quine to the contemporary divide.

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Empiricism

An introduction to empiricism as the philosophical tradition that grounds knowledge in sensory experience, from Locke and Berkeley through Hume to logical positivism.

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Epistemology

An introduction to epistemology as the philosophical study of knowledge, examining justification, belief, truth, skepticism, and the limits of human understanding from Descartes through contemporary debates.

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Formal Logic

An introduction to formal logic — the branch of logic that studies argument forms using artificial languages, proof systems, and model-theoretic semantics, from the syllogism to predicate calculus and beyond.

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Informal Logic

An introduction to informal logic — the study of the norms of everyday argumentation, including fallacies, argument schemes, and the evaluation of reasoning in natural language.

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Logical Positivism

Logical Positivism is the early twentieth-century movement centered on the Vienna Circle that held that a statement is meaningful only if it is empirically verifiable or logically true, and that traditional metaphysics fails this test.

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Philosophy of Logic

An introduction to the philosophy of logic — the study of the nature, scope, and foundations of logical truth, logical consequence, and the very idea of a system of valid inference.

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Philosophy of Psychology

An introduction to the philosophy of psychology — the study of the assumptions, methods, and explanatory claims of psychological science, from folk psychology to the cognitive revolution.

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Philosophy of Science

An introduction to the philosophy of science, tracing how thinkers from the logical positivists through Popper, Kuhn, and Lakatos analyzed scientific method, theory change, the demarcation problem, and the nature of scientific knowledge.

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Pragmatism

An introduction to pragmatism as the American philosophical tradition that evaluates ideas by their practical consequences, from Peirce through James and Dewey to Rorty.

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Rationalism

An introduction to rationalism as the philosophical tradition that privileges reason as the primary source of knowledge, from Descartes through Spinoza and Leibniz to Kant.

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Skepticism

Skepticism is a philosophical tradition that questions the possibility, scope, and justification of knowledge, challenging dogmatic claims through systematic doubt, suspension of judgment, and rigorous examination of the limits of human understanding.

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Aristotle Quote on Logic: The Definition of the Syllogism

Aristotle's definition of the syllogism from the Prior Analytics, the passage that founded formal logic and shaped two millennia of reasoning about deduction.

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Dewey Quote on Inquiry: Transforming the Indeterminate

John Dewey's definition of inquiry as the controlled transformation of an indeterminate situation into a determinate one, from Logic: The Theory of Inquiry (1938) — the core of his pragmatic logic.

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Feyerabend Quote on Method: Anything Goes

Paul Feyerabend's provocative declaration that the only principle that does not inhibit progress is anything goes, from Against Method (1975) — the rallying cry of epistemological anarchism.

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Hume Quote on Induction: The Future Resembles the Past

David Hume's statement that the supposition that the future resembles the past rests on habit, not reason — the classic statement of the problem of induction.

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Hume Quote on Skepticism: Proportioning Belief to Evidence

David Hume's maxim that a wise person proportions belief to the evidence — the epistemic standard at the heart of his mitigated skepticism and his famous argument against miracles.

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James Quote on Pragmatism: Truth Happens to an Idea

William James's pragmatic theory that truth happens to an idea and is made true by events, from Pragmatism, Lecture 6 — a radical rethinking of truth as process rather than correspondence.

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Kahneman Quote on Intuition: System 1 Operates Automatically and Quickly

Daniel Kahneman's definition of System 1 — the fast, automatic, effortless mode of thinking — from Thinking, Fast and Slow, the cornerstone of modern research on intuition and cognitive bias.

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Kuhn Quote on Normal Science: Research on Past Achievements

Thomas Kuhn's definition of normal science as research firmly based on past scientific achievements, from The Structure of Scientific Revolutions (1962) — the foundation of his paradigm theory.

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Lakatos Quote on Research Programmes: The Hard Core

Imre Lakatos's thesis that the hard core of a research programme need not be tested in isolation, protected by a protective belt — a sophisticated refinement of Popperian falsificationism.

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Mill Quote on Liberty of Thought: Silencing One Person Is Robbing the Human Race

John Stuart Mill's defense of freedom of thought from On Liberty — that even one dissenting voice may not be silenced, because truth and error are tested only in open discussion.

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Ockham Quote: Entities Should Not Be Multiplied Without Necessity

Occam's razor — entities should not be multiplied without necessity — the principle of parsimony attributed to William of Ockham and the most cited methodological maxim in science.

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Peirce Quote on Inquiry: The Fixation of Belief

Charles Sanders Peirce's thesis that the fixation of belief is the sole object of inquiry, from The Fixation of Belief (1877) — the founding document of pragmatism.

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