Combining Philosophers

All the ideas for Homer, Samir Okasha and Palle Yourgrau

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21 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
You can ask all sorts of numerical questions about any one given set [Yourgrau]
7. Existence / C. Structure of Existence / 2. Reduction
Multiple realisability is said to make reduction impossible [Okasha]
14. Science / A. Basis of Science / 3. Experiment
Not all sciences are experimental; astronomy relies on careful observation [Okasha]
Randomised Control Trials have a treatment and a control group, chosen at random [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 / 8. Dualism of Mind Critique
Homer does not distinguish between soul and body [Homer, by Williams,B]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
The 'will' doesn't exist; there is just conclusion, then action [Homer, by Williams,B]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
Plato says the Good produces the Intellectual-Principle, which in turn produces the Soul [Homer, by Plotinus]
24. Political Theory / C. Ruling a State / 2. Leaders / a. Autocracy
Let there be one ruler [Homer]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
Galileo refuted the Aristotelian theory that heavier objects fall faster [Okasha]
27. Natural Reality / G. Biology / 5. Species
Virtually all modern views of speciation rest on relational rather than intrinsic features [Okasha]
28. God / C. Attitudes to God / 5. Atheism
Homer so enjoys the company of the gods that he must have been deeply irreligious [Homer, by Nietzsche]