Combining Texts

All the ideas for 'Conspectus libelli (book outline)', 'Philosophy of Science: Very Short Intro (2nd ed)' and 'Cours d'Analyse'

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16 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
7. Existence / C. Structure of Existence / 2. Reduction
Multiple realisability is said to make reduction impossible [Okasha]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
A body would be endless disunited parts, if it did not have a unifying form or soul [Leibniz]
9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier
Form or soul gives unity and duration; matter gives multiplicity and change [Leibniz]
10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
If we understand God and his choices, we have a priori knowledge of contingent truths [Leibniz, by Garber]
14. Science / A. Basis of Science / 3. Experiment
Randomised Control Trials have a treatment and a control group, chosen at random [Okasha]
Not all sciences are experimental; astronomy relies on careful observation [Okasha]
14. Science / A. Basis of Science / 6. Falsification
The discoverers of Neptune didn't change their theory because of an anomaly [Okasha]
Science mostly aims at confirming theories, rather than falsifying them [Okasha]
14. Science / B. Scientific Theories / 1. Scientific Theory
Theories with unobservables are underdetermined by the evidence [Okasha]
14. Science / B. Scientific Theories / 5. Commensurability
Two things can't be incompatible if they are incommensurable [Okasha]
14. Science / C. Induction / 1. Induction
Induction is inferences from examined to unexamined instances of a given kind [Okasha]
14. Science / C. Induction / 6. Bayes's Theorem
If the rules only concern changes of belief, and not the starting point, absurd views can look ratiional [Okasha]
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
Every body contains a kind of sense and appetite, or a soul [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
Galileo refuted the Aristotelian theory that heavier objects fall faster [Okasha]