Cantabria PAU History of Philosophy study materials
Cantabria PAU History of Philosophy study resources

Cantabria PAU History of Philosophy cheat sheet

Cantabria PAU History of Philosophy · Keep the key ideas within reach.

Quick reference

Ancient and Medieval Philosophy (Plato, Aristotle, Augustine, Aquinas)

  • Plato: the Theory of Forms posits two worlds-the sensible (doxa, becoming) and the intelligible (episteme, being); the Form of the Good is the highest principle, source of truth and being, analogous to the sun in the allegory of the cave.

  • Plato's divided line (Republic VI) ranks cognition: eikasia (images), pistis (sensible objects), dianoia (mathematical reasoning), noesis (dialectical grasp of Forms); each level has its own mode of knowing and its own object.

  • Plato's soul is tripartite-rational (logistikon), spirited (thymoeides), appetitive (epithymetikon)-and justice in the soul is each part doing its own work; the just city mirrors this structure.

  • Aristotle: form (eidos) is immanent in the individual substance, not separate; each substance is a synolon of matter and form, and change is explained by the four causes-material, formal, efficient, final.

  • Aristotle's act/potency (energeia/dynamis) pair explains becoming: a thing is potentially what it becomes actually; the unmoved mover is pure act (no potency) and moves as final cause.

  • Aristotle's ten categories (substance plus nine accidents) classify predication; substance is primary being, and the syllogistic figures in the Prior Analytics formalize valid inference.

  • Augustine: interiority and the turn to the self ('in interiore homine habitat veritas'); memory, intellect, and will are the triune structure of the mind, and time is a distension of the soul (Confessions XI).

  • Augustine on evil: evil is not a positive substance but a privation of good (privatio boni); human free will explains moral evil, and grace is necessary for the will to choose the good after the Fall.

  • Aquinas: faith and reason are distinct but harmonious; natural reason can prove God's existence (the Five Ways) but not the Trinity; analogical predication allows God-talk without univocity or equivocity.

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Modern Philosophy: Rationalism and Empiricism (Descartes, Hume, Kant)

  • Descartes' method of doubt suspends all belief that can be doubted until the cogito ('I think, therefore I am') is reached as an indubitable first principle; the criterion of clear and distinct ideas follows.

  • Descartes proves God's existence from the idea of a perfect being (ontological argument) and from the fact that a perfect being would not deceive; God guarantees the reliability of clear and distinct perception.

  • Descartes' mind-body dualism: mind is res cogitans (thinking substance), body is res extensa (extended substance); their interaction is explained via the pineal gland, a famously problematic move.

  • Hume's fork: all objects of reason divide into relations of ideas (analytic, certain, e.g., mathematics) and matters of fact (synthetic, probable, grounded in experience); the negation of a matter of fact is conceivable.

  • Hume's analysis of causation: we never perceive a necessary connection, only constant conjunction and temporal priority; the idea of necessary connection is a habit of the mind produced by custom.

  • Hume on induction: past experience cannot justify future predictions without circularity; custom or habit, not reason, grounds our expectations-a conclusion that awakens Kant from 'dogmatic slumber'.

  • Kant's Copernican revolution: objects conform to our cognition, not vice versa; space and time are a priori forms of intuition, and the categories (e.g., causality) are a priori concepts of the understanding.

  • Kant's synthetic a priori judgments (e.g., '7+5=12', 'every event has a cause') are possible because intuition and categories structure experience; the thing in itself (noumenon) is thinkable but not knowable.

  • Kant's categorical imperative: act only on a maxim you could will as a universal law; treat humanity as an end, never merely as a means; the will is autonomous when it legislates the moral law to itself.

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Nineteenth-Century Philosophy (Marx, Nietzsche, and related currents)

  • Marx: historical materialism holds that the mode of production of material life conditions the general process of social, political, and intellectual life; being determines consciousness, not the reverse.

  • Marx's base/superstructure: the economic base (forces and relations of production) shapes the superstructure (law, politics, ideology, religion); ideology is the ruling class's ideas presented as universal.

  • Marx's alienation (Entfremdung): under capitalism the worker is alienated from the product, the labor process, species-being, and other humans; communism aims at the return of the human to itself.

  • Marx's surplus value: the value produced by labor exceeds the value paid as wages; capital accumulates by extracting this surplus, and the falling rate of profit generates crises.

  • Nietzsche's will to power (Wille zur Macht) is the fundamental drive of all life, not merely domination but self-overcoming and creative growth; it is a principle of interpretation, not a metaphysical substance.

  • Nietzsche's master/slave morality: master morality values strength, nobility, and self-affirmation; slave morality, born of ressentiment, revalues weakness as goodness and strength as evil.

  • Nietzsche's eternal recurrence: the thought experiment that all events repeat infinitely; the Übermensch affirms life by willing the eternal return, while nihilism is overcome through revaluation of values.

  • Nietzsche's critique of metaphysics and language: concepts are metaphors frozen by convention; there are no facts, only interpretations; the 'death of God' announces the collapse of absolute values.

  • Related currents: Kierkegaard's existential subjectivity and leap of faith; Schopenhauer's blind will; Mill's utilitarianism and liberty principle; Darwin's evolutionary naturalism reshaping ethics and anthropology.

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Twentieth-Century Philosophy (Ortega y Gasset, Wittgenstein, and contemporary currents)

  • Ortega's 'I am I and my circumstance' (yo soy yo y mi circunstancia): the self is not a substance but a life-project co-constituted by its circumstances; saving circumstances is saving the self.

  • Ortega's perspectivism: each individual has a unique vantage point on reality; truth is not relative but perspectival-all perspectives together constitute the full reality, and no single one exhausts it.

  • Ortega's vital reason (razón vital) integrates reason and life; the topic of our time is the rebellion of the masses-mass man as a product of liberal democracy who lacks historical consciousness and demands without responsibility.

  • Wittgenstein's Tractatus: language mirrors the logical form of the world; propositions are pictures of facts; the limits of language are the limits of the world, and the mystical lies beyond what can be said.

  • Wittgenstein's later philosophy (Philosophical Investigations): meaning is use; language games and family resemblance replace essential definitions; the private language argument shows that inner states require public criteria.

  • Wittgenstein's rule-following considerations: no rule determines its application by itself; practice and agreement in forms of life ground normativity, dissolving the picture of meaning as an inner mental act.

  • Phenomenology (Husserl): intentionality of consciousness; epoché and reduction bracket the natural attitude to disclose essences; Heidegger's Dasein is being-in-the-world, and authenticity confronts being-toward-death.

  • Existentialism (Sartre): existence precedes essence; radical freedom entails responsibility; bad faith (mauvaise foi) is the denial of freedom by adopting fixed roles; the Other's look objectifies the self.

  • Contemporary currents: logical positivism's verification principle (Vienna Circle); Quine's critique of the analytic-synthetic distinction; Rawls's justice as fairness; Habermas's communicative action; postmodern critiques of grand narratives.

Quick reference

Philosophical Text Commentary and Conceptual Analysis

  • Identify the text's thesis (what the author asserts), its argumentative strategy (deduction, reductio, thought experiment, dialectic), and its conclusion; distinguish the author's voice from quoted interlocutors.

  • Contextualize the fragment: author, work, date, and philosophical tradition; note whether the passage is programmatic, polemical, or a reply to a named opponent.

  • Analyze key terms: flag technical vocabulary (e.g., energeia, cogito, a priori, Entfremdung, Dasein) and define it in the author's own sense rather than by contemporary usage.

  • Reconstruct the argument in premise-conclusion form; test validity (does the conclusion follow?) and soundness (are the premises true?); identify hidden premises and equivocations.

  • Evaluate with counterexamples and objections: thought experiments, reductio ad absurdum, and comparison with rival positions; note what the author would need to concede or defend.

  • Distinguish explanation from justification: a causal account of why we hold a belief is not a normative account of whether it is warranted (Hume's is/ought gap; Kant's quid facti vs. quid juris).

  • Structure the commentary: introduction (thesis and context), exposition (argument reconstruction), critical analysis (objections and replies), and conclusion (assessment and significance).

  • Common pitfalls: paraphrasing instead of analyzing; ignoring the author's historical interlocutors; attributing to the text claims it only mentions; conflating the author's view with that of a character in a dialogue.

  • Conceptual analysis technique: give necessary and sufficient conditions, test with borderline cases, and check for counterexamples; distinguish the concept from conceptions of it (e.g., justice vs. Rawls's or Plato's conception).