. Leibniz's Life and Context (Pages 236-238)
Life and Works:
Born in Leipzig, 1646; died in Hanover, 1716.
Protestant family with legal background.
Early interest in classics, Scholasticism, and modern philosophy (Bacon, Descartes, Hobbes).
Studied mathematics, physics, law, history, and alchemy.
Invented calculus independently of Newton.
Worked as historian, librarian, and diplomat.
Founded the Berlin Academy of Sciences.
Sought to unify Catholic and Protestant Churches.
Major works: "Nouveaux essais," "Théodicée," "Discours de métaphysique," "Monadologie."
Intellectual Context:
Bridged rationalism (Descartes, Spinoza) and Scholasticism (Aristotelianism, medieval thought).
Synthesized philosophy, theology, and science.
Represented the end of the Baroque era in philosophy.
II. Monads and Metaphysics (Pages 239-241)
Critique of Descartes' Physics:
Rejected static view of nature; emphasized force (vis viva) as the basis of motion.
Shifted from physics of extension to physics of energy.
Monads:
Simple, indivisible, unextended substances.
"Formal atoms" (not material).
Created and annihilated by God.
"Windowless" - no causal interaction.
Possess qualities, differ from each other, and change internally.
Each monad is a "vis repraesentativa" (force of representation), reflecting the entire universe from its unique perspective.
Monads have varying degrees of clarity in their representations.
Pre-Established Harmony:
God pre-programmed monads to act in harmony without direct interaction.
Analogy of synchronized clocks.
God is the source of our ideas and knowledge.
Monads have "windows" that open onto God.
III. God and Theodicy (Pages 242-246)
Proofs for God's Existence:
Modified ontological argument (possibility and existence of God).
A posteriori argument (contingent beings imply God's existence).
Theodicy:
Justifies God's goodness, human freedom, and the origin of evil.
Metaphysical Optimism: This is the best of all possible worlds, with maximum good and minimum necessary evil.
Types of Evil:
Metaphysical: Imperfection due to finitude.
Physical: Allows for higher virtues and greater good.
Moral: Deficiency permitted for the sake of freedom.
Freedom and Divine Prescience:
God's foreknowledge doesn't negate human freedom.
God's knowledge: Pure intellection, vision, middle knowledge (futuribles).
Contingency becomes necessity after God's will decides.
Justification of Sin: Freedom to sin is preferable to its absence.
IV. Theory of Knowledge (Pages 242-244)
Perception and Apperception:
Hierarchy of perceptions: insensible, sensations, apperceptions.
Apperception: Clear, conscious perception with memory (human souls).
Truths of Reason vs. Truths of Fact:
Truths of Reason: Necessary, a priori, based on contradiction.
Truths of Fact: Contingent, a posteriori, based on sufficient reason.
Individual Notion: Each monad contains its entire reality.
Innatism: All ideas come from the internal activity of monads.
Logic:
Aim for an "ars inveniendi" (art of invention) to discover truths mathematically.
Concept of "mathesis universalis" (universal mathematics).